Thanks a lot to @aerinykim, @suzatweet and @hardmaru for the useful feedback!

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In this post, I’m going to argue that training Reinforcement Learning agents to trade in the financial (and cryptocurrency) markets can be an extremely interesting research problem. I believe that it has not received enough attention from the research community but has the potential to push the state-of-the art of many related fields. It is quite similar to training agents for multiplayer games such as DotA, and many of the same research problems carry over. Knowing virtually nothing about trading, I have spent the past few months working on a project in this field.

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Trading in the cryptocurrency (and most financial) markets happens in what’s called a continuous double auction with an open order book on an exchange. That’s just a fancy way of saying that there are buyers and sellers that get matched so that they can trade with each other. The exchange is responsible for the matching. There are dozens of exchanges and each may carry slightly different products (such as Bitcoin or Ethereum versus U.S. Dollar). Interface-wise, and in terms of the data they provide, they all look pretty much the same.

Let’s take a look at GDAX, one of the more popular U.S.-based exchanges. Let’s assume you want to trade BTC-USD (Bitcoin for U.S. Dollar). You would go to ssr下载官方 and see something like this:


There’s a lot of information here, so let’s go over the basics:

Price chart (Middle)

The current price is the price of the most recent trade. It varies depending on whether that trade was a buy or a sell (more on that below). The price chart is typically displayed as a candlestick chart that shows the Open/Start (O), High (H), Low (L) and Close/End (C) prices for a given time window. In the picture above, that period is 5 minutes, but you can change it using the dropdown. The bars below the price chart show the Volume (V), which is the total volume of all trades that happened in that period. The volume is important because it gives you a sense of the liquidity of the market. If you want to buy $100,000 worth if Bitcoin, but there is nobody willing to sell, the market is illiquid. You simply can’t buy. A high trade volume indicates that many people are willing to transact, which means that you are likely to able to buy or sell when you want to do so. Generally speaking, the more money you want to invest, the more trade volume you want. Volume also indicates the “quality” of a price trend. High volume means you can rely on the price movement more than if there was low volume. High volume is often (but not always, as in the case of market manipulation) the consensus of a large number of market participants.

Trade History (Right)

The right side shows a history of all recent trades. Each trade has a size, price, timestamp, and direction (buy or sell). A trade is a match between two parties, a taker and a maker. More on that below.

Order Book (Left)

The left side shows the order book, which contains information about who is willing to buy and sell at what price. The order book is made up of two sides: Asks (also called offers), and Bids. Asks are people willing to sell, and bids are people willing to buy. By definition, the best ask, the lowest price that someone is willing to sell at, is larger than the best bid, the highest price that someone is willing to buy at. If this was not the case, a trade between these two parties would’ve already happened. The difference between the best ask and best bid is called the spread.

Each level of the order book has a price and a volume. For example, a volume of 2.0 at a price level of $10,000 means that you can buy 2 BTC for $10,000. If you want to buy more, you would need to pay a higher price for the amount that exceeds 2 BTC. The volume at each level is cumulative, which means that you don’t know how many people, or orders, that 2 BTC consists of. There could one person selling 2 BTC, or there could be 100 people selling 0.02 BTC each (some exchanges provide this level of information, but most don’t). Let’s look at an example:

So what happens when you send an order to buy 3 BTC? You would be buying (rounding up) 0.08 BTC at $12,551.00, 0.01BTC at $12,551.6 and 2.91 BTC at $12,552.00. On GDAX, you would also be paying a 0.3% taker fee, for a total of about 1.003 * (0.08 * 12551 + 0.01 * 12551.6 + 2.91 * 12552) = $37,768.88 and an average price per BTC of 37768.88 / 3 = $12,589.62. It’s important to note that what you are actually paying is much higher than $12,551.00, which was the current price! The 0.3% fee on GDAX is extremely high compared to fees in the financial markets, and also much higher than the fees of many other cryptocurrency exchanges, which are often between 0% and 0.1%.

Also note that your buy order has ssr安卓客户端最新版下载 all the volume that was available at the $12,551.00 and $12,551.60 levels. Thus, the order book will “move up”, and the best ask will become $12,552.00. The current price will also become $12,552.00, because that is where the last trade happened. Selling works analogously, just that you are now operating on the bid side of the order book, and potentially moving the order book (and price) down. In other words, by placing buy and sell orders, you are removing volume from the order book. If your orders are large enough, you may shift the order book by several levels. In fact, if you placed a very large order for a few million dollars, you would shift the order book and price significantly.

How do orders get into the order book? That’s the difference between ssr安卓客户端最新版下载 and limit orders. In the above example, you’ve issued a market order, which basically means “Buy/Sell X amount of BTC at the best price possible, right now“. If you are not careful about what’s in the order book you could end up paying significantly more than the current price shows. For example, imagine that most of the lower levels in the order book only had a volume at 0.001 BTC available. Most of your buy volume would then get matched at a much higher, more expensive, price level. If you submit a limit order, also called a passive order, you specify the price and quantity you’re willing to buy or sell at. The order will be placed into the book, and you can cancel it as long as it has not been matched.  For example, let’s assume the Bitcoin price is at $10,000, but you want to sell at $10,010. You place a limit order. First, nothing happens. If the price keeps moving down your order will just sit there, do nothing, and will never be matched. You can cancel it anytime. However, if the price moves up, your order will at some point become the best price in the book, and the next person submitting a market order for a sufficient quantity will match it.


Market orders take liquidity from the market. By matching with orders from the order book, you are taking away the option to trade to from other people – there’s less volume left! That’s also why market orders, or market takers, often need to pay higher fees than market makers, who put orders into the book. Limit orders providing liquidity because they are giving others the option to trade. At the same time, limit orders guarantee that you will not pay more than the price specified in the limit order. However, you don’t know when, or if, someone will match your order. You are also giving the market information about what you believe the price should be. This can also be used to manipulate the other participants in the market, who may act a certain way based on the orders you are executing or putting into the book. Because they provide the option to trade and give away information, market makers typically pay lower fees than market takers. Some exchanges also provide stop orders, which allow you to set a maximum price for your market orders.

This was a very short introduction of how order books works and matching works. There are many more subtleties as well other, much more complex, order types. If the above was not clear, you can find a wealth of information about order book mechanics, and research in that area, through Google.


The main reasons I am using cryptocurrencies in this post is because data is public, free, and easy to obtain. Most exchanges have streaming APIs that allow you to receive market updates in real-time. We’ll use GDAX (API Documentation) as an example again, but the data for other exchanges looks very similar. Let’s go over the basic types of events you would use to build a Machine Learning model.


A new Trade has happened. Each trade has a timestamp, a unique ID assigned by the exchange, a price, size, and side, as discussed above. If you wanted to plot the price graph of an asset, you would simply plot the price of all trades. If you wanted to plot the candlestick chart, you would window the trade events for a certain period, such as five minutes, and then plot the windows.


One or more levels in the order book were updated. Each level is made up of the side (Buy=Bid, Sell=Ask), the price/level, and the new quantity at that level. Note that these are changes, or deltas, and you must construct the full order book yourself by merging them.


Similar to a BookUpdate, but a snapshot of the complete order book. Because the full order book can be very large, it is faster and more efficient to use the BookUpdate events instead. However, having an occasional snapshot can be useful.

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When developing trading algorithms, what do you optimize for? The obvious answer is profit, but that’s not the whole story. You also need to compare your trading strategy to baselines, and compare its risk and volatility to other investments. Here are a few of the most basic metrics that traders are using. I won’t go into detail here, so feel free to follow the links for more information.


Simply how much money an algorithm makes (positive) or loses (negative) over some period of time, minus the trading fees.

Alpha and Beta

ssr安卓最新版下载 defines how much better, in terms of profit, your strategy is when compared to an alternative, relatively risk-free, investment, like a government bond. Even if your strategy is profitable, you could be better off investing in a risk-free alternative. Beta is closely related, and tells you how volatile your strategy is compared to the market. For example, a beta of 0.5 means that your investment moves $1 when the market moves $2.

Sharpe Ratio

The Sharpe Ratio measures the excess return per unit of risk you are taking. It’s basically your return on capital over the standard deviation, adjusted for risk. Thus, the higher the better. It takes into account both the volatility of your strategy, as well as an alternative risk-free investment.


The Maximum Drawdown is the maximum difference between a local maximum and the subsequent local minimum, another measure of risk. For example, a maximum drawdown of 50% means that you lose 50% of your capital at some point. You then need to make a 100% return to get back to your original amount of capital. Clearly, a lower maximum drawdown is better.

Value at Risk (VaR)

Value at Risk is a risk metric that quantifies how much capital you may lose over a given time frame with some probability, assuming normal market conditions. For example, a 1-day 5% VaR of 10% means that there is a 5% chance that you may lose more than 10% of an investment within a day.


Before looking at the problem from a Reinforcement Learning perspective, let’s understand how we would go about creating a profitable trading strategy using a supervised learning approach. Then we will see what’s problematic about this, and why we may want to use Reinforcement Learning techniques.

The most obvious approach we can take is price prediction. If we can predict that the market will move up we can buy now, and sell once the market has moved. Or, equivalently, if we predict the market goes down, we can go short (borrowing an asset we don’t own) and then buy once the market has moved. However, there are a few problems with this.

First of all, what price do we actually predict? As we’ve seen above, there is not a “single” price we are buying at. The final price we pay depends on the volume available at different levels of the order book, and the fees we need to pay. A naive thing to do is to predict the mid price, which is the mid-point between the best bid and best ask. That’s what most researchers do. However, this is just a theoretical price, not something we can actually execute orders at, and could differ significantly from the real price we’re paying.

The next question is time scale. Do we predict the price of the next trade? The price at the next second? Minute? Hour? Day? Intuitively, the further in the future we want to predict, the more uncertainty there is, and the more difficult the prediction problem becomes.

Let’s look at an example. Let’s assume the BTC price is $10,000 and we can accurately predict that the “price” moves up from $10,000 to $10,050 in the next minute. So, does that mean you can make $50 of profit by buying and selling? Let’s understand why it doesn’t.

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  • The price is now at $10,050, as predicted. We place the sell order. Because the market moves very fast, by the time the order is delivered over the network the price has slipped already. Let’s say it’s now at $10,045. Similar to above, we most likely cannot sell all of your 1 BTC at that price. Perhaps we are forced to sell 0.5 BTC are $10,045 and 0.5 BTC at $10,040, for an average price of $10,042.5. Then we pay another 0.3% taker fee, which corresponds to roughly $30.

So, how much money have we made? 资源下载 - 51dog:安卓手机客户端最新版SS-4.5.7 SS客户端安卓手机版本 文件大小: 8.94 MB Windows客户端SS-4.1.1最新版本 SS客户端Windows桌面版本 文件大小: 1.98 MB Windows客户端SSR-4.7.0 .... Instead of making $50, we have lost $22.5, even though we accurately predicted a large price movement over the next minute! In the above example there were three reasons for this: No liquidity in the best order book levels, network latencies, and fees, none of which the supervised model could take into account.

What is the lesson here? In order to make money from a simple price prediction strategy, we must predict relatively large price movements over longer periods of time, or be very smart about our fees and order management. And that’s a very difficult prediction problem. We could have saved on the fees by using limit instead of market orders, but then we would have no guarantees about our orders being matched, and we would need to build a complex system for order management and cancellation.

But there’s another problem with supervised learning: It does not imply a ssr安卓客户端最新版下载. In the above example we bought because we predicted that the price moves up, and it actually moved up. Everything went according to plan. But what if the price had moved down? Would you have sold? Kept the position and waited? What if the price had moved up just a little bit and then moved down again? What if we had been uncertain about the prediction, for example 65% up and 35% down? Would you still have bought? How do you choose the threshold to place an order?

Thus, you need more than just a price prediction model (unless your model is extremely accurate and robust). We also need a rule-based policy that takes as input your price predictions and decides what to actually do: Place an order, do nothing, cancel an order, and so on. How do we come up with such a policy? How do we optimize the policy parameters and decision thresholds? The answer to this is not obvious, and many people use simple heuristics or human intuition.


Luckily, there are solutions to many of the above problems. The bad news is, the solutions are not very effective. Let’s look a typical workflow for trading strategy development. It looks something like this:


  1. Data Analysis: You perform exploratory data analysis to find trading opportunities. You may look at various charts, calculate data statistics, and so on. The output of this step is an “idea” for a trading strategy that should be validated.
  2. Supervised Model Training: If necessary, you may train one or more supervised learning models to predict quantities of interest that are necessary for the strategy to work. For example, price prediction, quantity prediction, etc.
  3. Policy Development: You then come up with a rule-based policy that determines what actions to take based on the current state of the market and the outputs of supervised models. Note that this policy may also have parameters, such as decision thresholds, that need to be optimized. This optimization is done later.
  4. Strategy Backtesting: You use a simulator to test an initial version of the strategy against a set of historical data. The simulator can take things such as order book liquidity, network latencies, fees, etc into account.  If the strategy performs reasonably well in backtesting, we can move on and do parameter optimization.
  5. Parameter Optimization: You can now perform a search, for example a grid search, over possible values of strategy parameters like thresholds or coefficient, again using the simulator and a set of historical data. Here, overfitting to historical data is a big risk, and you must be careful about using proper validation and test sets.
  6. Simulation & Paper Trading: Before the strategy goes live, simulation is done on new market data, in real-time. That’s called paper trading and helps prevent overfitting. Only if the strategy is successful in paper trading, it is deployed in a live environment.
  7. Live Trading: The strategy is now running live on an exchange.

That’s a complex process. It may vary slightly depending on the firm or researcher, but something along those lines typically happens when new trading strategies are developed. Now, why do I think this process is not effective? There are a couple of reasons.

  1. Iteration cycles are slow. Step 1-3 are largely based on intuition, and you don’t know if your strategy works until the optimization in step 4-5 is done, possibly forcing you to start from scratch. In fact, every step comes with the risk of failing and forcing you to start from scratch.
  2. Simulation comes too late. You do not explicitly take into account environmental factors such as latencies, fees, and liquidity until step 4. Shouldn’t these things directly inform your strategy development or the parameters of your model?
  3.  Policies are developed independently from supervised models even though they interact closely. Supervised predictions are an input to the policy. Wouldn’t it make sense to jointly optimize them?
  4. Policies are simple. They are limited to what humans can come up with.
  5. Parameter optimization is inefficient. For example, let’s assume you are optimizing for a combination of profit and risk, and you want to find parameters that give you a high Sharpe Ratio. Instead of using an efficient gradient-based approach you are doing an inefficient grid search and hope that you’ll find something good (while not overfitting).

Let’s take a look at how a Reinforcement Learning approach can solve most of these problems.


Remember that the traditional Reinforcement Learning problem can be formulated as a Markov Decision Process (MDP). We have an agent acting in an environment. Each time step ssr手机安卓 the agent receives as the input the current state ssr下载官方, takes an action A_t, and receives a reward R_{t+1} and the next state S_{t+1}. The agent chooses the action based on some policy \pi: ssr小工具官网安卓版. It is our goal to find a policy that maximizes the cumulative reward \sum R_t over some finite or infinite time horizon.


Let’s try to understand what these symbols correspond to in the trading setting.


Let’s start with the easy part. The agent is our trading agent. You can think of the agent as a human trader who opens the GUI of an exchange and makes trading decision based on the current state of the exchange and his or her account.


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However, by putting other agents together into some big complex environment we lose the ability to explicitly model them. For example, one can imagine that we could learn to reverse-engineer the algorithms and strategies that other traders are running and then learn to exploit them. Doing so would put us into a Multi-Agent Reinforcement Learning (MARL) problem setting, which is an active research area. I’ll talk more about that below. For simplicity, let’s just assume we don’t do this, and assume we’re interacting with a single complex environment that includes the behavior of all other agents.


In the case of trading on an exchange, we do not observe the complete state of the environment. For example, we don’t know about the other agents are in the environment, how many there are, what their account balances are, or what their open limit orders are. This means, we are dealing with a Partially Observable Markov Decision Process (POMDP). What the agent observes is not the actual state S_t of the environment, but some derivation of that. Let’s call that the observation X_t, which is calculated using some function of the full state X_t \sim O(S_t).

In our case, the observation at each timestep t is simply the history of all exchange events (described in the data section above) received up to time ssr最新版本Android. This event history can be used to build up the current exchange state. However, in order for our agent to make decisions, there are a few other things that the observation must include, such as the current account balance, and open limit orders, if any.

Time Scale

We need to decide what time scale we want to act on. Days? Hours? Minutes? Seconds? Milliseconds? Nanoseconds? Variables scales? All of these require different approaches. Someone buying an asset and holding it for several days, weeks or months is often making a long-term bet based on analysis, such as “Will Bitcoin be successful?”. Often, these decisions are driven by external events, news, or a fundamental understanding of the assets value or potential. Because such an analysis typically requires an understanding of how the world works, it can be difficult to automate using Machine Learning techniques. On the opposite end, we have High Frequency Trading (HFT) techniques, where decisions are based almost entirely on market microstructure signals. Decisions are made on nanosecond timescales and trading strategies use dedicated connections to exchanges and extremely fast but simple algorithms running of FPGA hardware. Another way to think about these two extremes is in term of “humanness”. The former requires a big picture view and an understanding of how the world works, human intuition and high-level analysis, while the latter is all about simple, but extremely fast, pattern matching.

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Another reason to act on relatively short timescales is that patterns in the data may be more apparent. For example, because most human traders look at the exact same (limited) graphical user interfaces which have pre-defined market signals (like the MACD signal that is built into many exchange GUIs), their actions are restricted to the information present in those signals, resulting in certain action patterns. Similarly, algorithms running in the market act based on certain patterns. Our hope is that Deep RL algorithms can pick up those patterns and exploit them.

Note that we could also act on variable time scales, based on some signal trigger. For example, we could decide to take an action whenever a large trade occurred in the market. Such as trigger-based agent would still roughly correspond to some time scale, depending on the frequency of the trigger event.

Action Space

In Reinforcement Learning, we make a distinction between discrete (finite) and continuous (infinite) action spaces. Depending on how complex we want our agent to be, we have a couple of choices here. The simplest approach would be to have three actions: Buy, Hold, and Sell. That works, but it limits us to placing market orders and to invest a deterministic amount of money at each step.  The next level of complexity would be to let our agent learn how much money to invest, for example, based on the uncertainty of our model. That would put us into a continuous action space, as we need to decide on both the (discrete) action and the (continuous) quantity. An even more complex scenario arises when we want our agent to be able to place limit orders. In that case our agent must decide the level (price) and the quantity of the order, both of which are continuous quantities. It must also be able to cancel open orders that have not yet been matched.

Reward Function

This is another tricky one. There are several possible reward functions we can pick from. An obvious one would the Realized PnL (Profit and Loss). The agent receives a reward whenever it closes a position, e.g. when it sells an asset it has previously bought, or buys an asset it has previously borrowed. The net profit from that trade can be positive or negative. That’s the reward signal. As the agent maximizes the total cumulative reward, it learns to trade profitably. This reward function is technically correct and leads to the optimal policy in the limit. However, rewards are sparse because buy and sell actions are relatively rare compared to doing nothing. Hence, it requires the agent to learn without receiving frequent feedback.

An alternative with more frequent feedback would be the ssr小工具官网安卓版, which the net profit the agent would get if it were to close all of its positions immediately. For example, if the price went down after the agent placed a buy order, it would receive a negative reward even though it hasn’t sold yet. Because the Unrealized PnL may change at each time step, it gives the agent more frequent feedback signals. However, the direct feedback may also bias the agent towards short-term actions when used in conjunction with a decay factor.

Both of these reward functions naively optimize for profit. In reality, a trader may want to minimize risk. A strategy with a slightly lower return but significantly lower volatility is preferably over a highly volatile but only slightly more profitable strategy. Using the Sharpe Ratio is one simple way to take risk into account, but there are many others. We may also want to take into account something like Maximum Drawdown, described above.  One can image a wide range of complex reward function that trade-off between profit and risk.


Now that we have an idea of how Reinforcement Learning can be used in trading, let’s understand why we want to use it over supervised techniques. Developing trading strategies using RL looks something like this. Much simpler, and more principled than the approach we saw in the previous section.


End-to-End Optimization of what we care about

In the traditional strategy development approach we must go through several steps, a pipeline, before we get to the metric we actually care about. For example, if we want to find a strategy with a maximum drawdown of 25%, we need to train supervised model, come up with a rule-based policy using the model, backtest the policy and optimize its hyperparameters, and finally assess its performance through simulation.

Reinforcement Learning allows for end-to-end optimization and maximizes (potentially delayed) rewards. By adding a term to the reward function, we can for example directly optimize for this drawdown, without needing to go through separate stages. For example, you could imagine giving a large negative reward whenever a drawdown of more than 25% happens, forcing the agent to look for a different policy. Of course, we can combine drawdown with many other metrics you care about. This is not only easier, but also a much more powerful model.

Learned Policies

Instead of needing to hand-code a rule-based policy, Reinforcement Learning directly learns a policy. There’s no need for us to specify rules and thresholds such as “buy when you are more than 75% sure that the market will move up”. That’s baked in the RL policy, which optimizes for the metric we care about. We’re removing a full step from the strategy development process! And because the policy can be parameterized by a complex model, such as a Deep Neural network, we can learn policies that are more complex and powerful than any rules a human trader could possibly come up with. And as we’ve seen above, the policies implicitly take into account metrics such as risk, if that’s something we’re optimizing for.

Trained directly in Simulation Environments

We needed separate backtesting and parameter optimization steps because it was difficult for our strategies to take into account environmental factors, such as order book liquidity, fee structures, latencies, and others, when using a supervised approach. It is not uncommon to come up with a strategy, only to find out much later that it does not work, perhaps because the latencies are too high and the market is moving too quickly so that you cannot get the trades you expected to get.

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We could take this a step further and simulate the response of the other agents in the same environment, to model impact of our own orders, for example. If the agent’s actions move the price in a simulation that’s based on historical data, we don’t know how the real market would have responded to this. Typically, simulators ignore this and assume that orders do not have market impact. However, by learning a model of the environment and performing rollouts using techniques like a Monte Carlo Tree Search (MCTS), we could take into account potential reactions of the market (other agents). By being smart about the data we collect from the live environment, we can continuously improve our model. There exists an interesting exploration/exploitation tradeoff here: Do we act optimally in the live environment to generate profits, or do we act suboptimally to gather interesting information that we can use to improve the model of our environment and other agents?

That’s a very powerful concept. By building an increasingly complex simulation environment that models the real world you can train very sophisticated agents that learn to take environment constraints into account.

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Because RL agents are learning powerful policies parameterized by Neural Networks, they can also learn to adapt to various market conditions by seeing them in historical data, given that they are trained over a long time horizon and have sufficient memory. This allows them to be much more robust to changing markets. In facts, we can directly optimize them to become robust to changes in market conditions, by putting appropriate penalties into your reward function.

Ability to model other agents

A unique ability of Reinforcement Learning is that we can explicitly take into account other agents. So far we’ve always talked about “how the market reacts”, ignoring that the market is really just a group of agents and algorithms, just like us. However, if we explicitly modeled the other agents in the environment, our agent could learn to exploit their strategies. In essence, we are reformulating the problem from “market prediction” to “agent exploitation”. This is much more similar to what we are doing in multiplayer games, like DotA.


My goal with this post is not only to give an introduction to Reinforcement Learning for Trading, but also to convince more researchers to take a look at the problem. Let’s take a look what makes Trading an interesting research problem.

Live Testing and Fast Iteration Cycle

When training Reinforcement Learning agents, it is often difficult or expensive to deploy them in the real world and get feedback. For example, if you trained an agent to play Starcraft 2, how would you let it play against a larger number of human players? Same for Chess, Poker, or any other game that is popular in the RL community. You would probably need to somehow enter a tournament and let your agent play there.

Trading agents have characteristics very similar to those for multiplayer games. But you can easily test them live! You can deploy your agent on an exchange through their API and immediately get real-world market feedback. If your agent does not generalize and loses money you know that you have probably overfit to the training data. In other words, the iteration cycle can be extremely fast.

Large Multiplayer Environments

The trading environment is essentially a multiplayer game with thousands of agents acting simultaneously. This is an active research area. We are now making progress at multiplayer games such as Poker, Dota2, and others, and many of the same techniques will apply here. In fact, the trading problem is a much more difficult one due to the sheer number of simultaneous agents who can leave or join the game at any time. Understanding how to build models of other agents is only one possible direction one can go into. As mentioned earlier, one could choose to perform actions in a live environment with the goal maximizing the information gain with respect to kind policies the other agents may be following.

Learning to Exploit other Agents & Manipulate the Market

Closely related is the question of whether we can learn to exploit other agents acting in the environment. For example, if we knew exactly what algorithms were running in the market we can trick them into taking actions they should not take and profit from their mistakes. This also applies to human traders, who typically act based on a combination of well-known market signals, such as exponential moving averages or order book pressures.

Disclaimer: Don’t allow your agent to do anything illegal! Do comply with all applicable laws in your jurisdiction. And finally, past performance is no guarantee of future results.

Sparse Rewards & Exploration

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Multi-Agent Self-Play

Similar to how self-play is applied to two-player games such as Chess or Go, one could apply self-play techniques to a multiplayer environment. For example, you could imagine simultaneously training a large number of competing agents, and investigate whether the resulting market dynamic somehow resembles the dynamics found in the real world. You could also mix the types of agents you are training, from different RL algorithms, the evolution-based ones, and deterministic ones. One could also use the real-world market data as a supervised feedback signal to “force” the agents in the simulation to collectively behave like the real world.

Continuous Time

Because markets change on micro- to milliseconds times scales, the trading domain is a good approximation of a continuous time domain. In our example above we’ve fixed a time period and made that decision for the agent. However, you could imagine making this part of the agent training. Thus, the agent would not only decide what actions to take, but also when to take an action.  Again, this is an active research area useful for many other domains, including robotics.

Nonstationary, Lifelong Learning, and Catastrophic Forgetting

The trading environment is inherently nonstationary. Market conditions change and other agent join, leave, and constantly change their strategies. Can we train agents that learn to automatically adjust to changing market conditions, without “forgetting” what they have learned before? For example, can an agent successfully transition from a bear to a bull market and then back to a bear market, without needing to be re-trained? Can an agent adjust to other agent joining and learning to exploit them automatically?

Transfer Learning and Auxiliary Tasks

Training Reinforcement Learning from scratch in complex domains can take a very long time because they not only need to learn to make good decisions, but they also need to learn the “rules of the game”. There are many ways to speed up the training of Reinforcement Learning agents, including transfer learning, and using auxiliary tasks. For example, we could imagine pre-training an agent with an expert policy, or adding auxiliary tasks, such as price prediction, to the agent’s training objective, to speed up the learning.


The goal was to give an introduction to Reinforcement Learning based trading agents, make an argument for why they are superior to current trading strategy development models, and make an argument for why I believe more researcher should be working on this. I hope I achieved some this in this post. Please let me know in the comments what you think, and feel free to get in touch to ask questions.

Thanks for reading all the way to the end :)

AI and Deep Learning in 2017 – A Year in Review

The year is coming to an end. I did not write nearly as much as I had planned to. But I’m hoping to change that next year, with more tutorials around Reinforcement Learning, Evolution, and Bayesian Methods coming to WildML! And what better way to start than with a summary of all the amazing things that happened in 2017? Looking back through my Twitter history and the WildML newsletter, the following topics repeatedly came up. I’ll inevitably miss some important milestones, so please let me know about it in the comments!


The biggest success story of the year was probably AlphaGo (Nature paper), a Reinforcement Learning agent that beat the world’s best Go players. Due to its extremely large search space, Go was thought to be out of reach of Machine Learning techniques for a couple more years. What a nice surprise!

The first version of AlphaGo was bootstrapped using training data from human experts and further improved through self-play and an adaptation of Monte-Carlo Tree Search. Soon after, AlphaGo Zero (Nature Paper) took it a step further and learned to play Go from scratch, without human training data whatsoever, using a technique simultaneously published in the Thinking Fast and Slow with Deep Learning and Tree Search paper. It also handily beat the first version of AlphaGo. Towards the end of the year, we saw yet another generalization of the AlphaGo Zero algorithm, called AlphaZero, which not only mastered Go, but also Chess and Shogi, using the exact same techniques. Interestingly, these programs made moves that surprised even the most experienced Go players, motivating players to learn from AlphaGo and adjusting their own play style accordingly. To make this easier, DeepMind also released an AlphaGo Teach tool.

But Go wasn’t the only game where we made significant progress. Libratus (Science paper), a system developed by researchers from CMU, managed to beat top Poker players in a 20-day Heads-up, No-Limit Texas Hold’em tournament. A little earlier, DeepStack, a system developed by researchers from Charles University, The Czech Technical University, and the University of Alberta, became the first to beat professional poker players. Note that both of these systems played Heads-up poker, which is played between two players and a significantly easier problem than playing at a table of multiple players. The latter will most likely see additional progress in 2018.

The next frontiers for Reinforcement Learning seem to be more complex multi-player games, including multi-player Poker. DeepMind is actively working on Starcraft 2, releasing a research environment, and OpenAI demonstrated initial success in 1v1 Dota 2, with the goal of competing in the the full 5v5 game in the near future.

Evolution Algorithms make a Comeback

For supervised learning, gradient-based approaches using the back-propagation algorithm have been working extremely well. And that isn’t likely to change anytime soon. However, in Reinforcement Learning, Evolution Strategies (ES) seem to be making a comeback. Because the data typically is not iid (independent and identically distributed), error signals are sparser, and because there is a need for exploration, algorithms that do not rely on gradients can work quite well. In addition, evolutionary algorithms can scale linearly to thousands of machines enabling extremely fast parallel training. They do not require expensive GPUs, but can be trained on a large number (typically hundreds to thousands) of cheap CPUs.

Earlier in the year, researchers from OpenAI demonstrated that Evolution Strategies can achieve performance comparable to standard Reinforcement Learning algorithms such as Deep Q-Learning. Towards the end of the year, a team from Uber released a blog post and a set of five research papers, further demonstrating the potential of Genetic Algorithms and novelty search. Using an extremely simple Genetic Algorithm, and no gradient information whatsoever, their algorithm learns to play difficult Atari Games. Here’s a video of the GA policy scoreing 10,500 on Frostbite. DQN, AC3, and ES score less than 1,000 on this game.

Most likely, we’ll see more work in this direction in 2018.

WaveNets, CNNs, and Attention Mechanisms

Google’s Tacotron 2 text-to-speech system produces extremely impressive audio samples and is based on WaveNet, an autoregressive model which is also deployed in the Google Assistant and has seen massive speed improvements in the past year. WaveNet had previously been applied to Machine Translation as well, resulting in faster training times that recurrent architectures.

The move away from expensive recurrent architectures that take long to train seems to be larger trend in Machine Learning subfields. In Attention is All you Need, researchers get rid of recurrence and convolutions entirely, and use a more sophisticated attention mechanism to achieve state of the art results at a fraction of the training costs.

The Year of Deep Learning frameworks

If I had to summarize 2017 in one sentence, it would be the year of frameworks. Facebook made a big splash with ssr手机安卓. Due to its dynamic graph construction similar to what Chainer offers, PyTorch received much love from researchers in Natural Language Processing, who regularly have to deal with dynamic and recurrent structures that hard to declare in a static graph frameworks such as Tensorflow.

Tensorflow had quite a run in 2017. Tensorflow 1.0 with a stable and backwards-compatible API was released in February. Currently, Tensorflow is at version 1.4.1. In addition to the main framework, several Tensorflow companion libraries were released, including Tensorflow Fold for dynamic computation graphs, Tensorflow Transform for data input pipelines, and DeepMind’s higher-level Sonnet library. The Tensorflow team also announced a new eager execution mode which works similar to PyTorch’s dynamic computation graphs.

In addition to Google and Facebook, many other companies jumped on the Machine Learning framework bandwagon:

  • Apple announced its CoreML mobile machine learning library.
  • A team at Uber released Pyro, a Deep Probabilistic Programming Language.
  • Amazon announced Gluon, a higher-level API available in MXNet.
  • Uber released details about its internal Michelangelo Machine Learning infrastructure platform.

And because the number of framework is getting out of hand, Facebook and Microsoft announced the ONNX open format to share deep learning models across frameworks. For example, you may train your model in one framework, but then serve it in production in another one.

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  • ssr小工具官网安卓版 is an open-source software for robot simulation.
  • OpenAI Baselines is a set of high-quality implementations of reinforcement learning algorithms.
  • Tensorflow Agents contains optimized infrastructure for training RL agents using Tensorflow.
  • Unity ML Agents allows researchers and developers to create games and simulations using the Unity Editor and train them using Reinforcement Learning.
  • Nervana Coach allows experimentation with state of the art Reinforcement Learning algorithms.
  • Facebook’s ELF platform for game research.
  • ssr安卓客户端最新版下载 is a customizable gridworld game engine.
  • MAgent is a research platform for many-agent reinforcement learning.

With the goal of making Deep Learning more accessible, we also got a few frameworks for the web, such as Google’s deeplearn.js and the MIL WebDNN execution framework. But at least one very popular framework died. That was Theano. In an ssr安卓最新版下载 on the Theano mailing list, the developers decided that 1.0 would be its last release.

Learning Resources

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  • The Deep RL Bootcamp co-hosted by OpenAI and UC Berkeley featured lectures about Reinforcement Learning basics as well as state-of-the-art research.
  • The Spring 2017 version of Stanford’s Convolutional Neural Networks for Visual Recognition course. Also check out the course website.
  • The Winter 2017 version of Stanford’s Natural Language Processing with Deep Learning course. Also check out the course website.
  • Stanford’s Theories of Deep Learning course.
  • The new Coursera Deep Learning specialization
  • The Deep Learning and Reinforcement Summer School in Montreal
  • UC Berkeley’s Deep Reinforcement Learning Fall 2017 course.
  • The Tensorflow Dev Summit with talks on Deep Learning basics and relevant Tensorflow APIs.

Several academic conferences continued the new tradition of publishing conference talks online. If you want to catch up with cutting-edge research you can watch some of the recordings from NIPS 2017, ssr最新版本Android or EMNLP 2017.

Researchers also started publishing easily accessible tutorial and survey papers on arXiv. Here are some of my favorites from this year:

  • Deep Reinforcement Learning: An Overview
  • A Brief Introduction to Machine Learning for Engineers
  • Neural Machine Translation
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2017 saw many bold claims about Deep Learning techniques solving medical problems and beating human experts. There was a lot of hype, and understanding true breakthroughs is anything but easy for someone not coming from a medical background. For an comprehensive review, I recommend Luke Oakden-Rayner’s The End of Human Doctors blog post series. I will briefly highlight some developments here.

Among the top news this year was a Stanford team releasing details about a Deep learning algorithm that does as well as dermatologists in identifying skin cancer. You can read the ssr手机安卓. Another team at Stanford developed a model which can diagnose irregular heart rhythms, also known as arrhythmias, from single-lead ECG signals better than a cardiologist.

But this year was not without blunders. DeepMind’s deal with the NHS was full of “inexcusable” mistakes. The NIH released a ssr下载官方 to the scientific community, but upon closer inspection it was found that it is not really suitable for training diagnostic AI models.

Applications: Art & GANs

Another application that started to gain more traction this year is generative modeling for images, music, sketches, and videos. The NIPS 2017 conference featured a Machine Learning for Creativity and Design workshop the first time this year.

Among the most popular applications was Google’s QuickDraw, which uses a neural network to recognize your doodles. Using the released dataset you may even teach machines to finish your drawings for you.

Generative Adversarial Networks (GANs), made significant progress this year. New models such as ssr小工具官网安卓版, DiscoGAN and StarGAN achieved impressive results in generating faces, for example. GANs traditionally have had difficulty generating realistic high-resolution images, but impressive results from pix2pixHD demonstrate that we’re on track to solving these. Will GANs become the new paintbrush?

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The big players in the self-driving car space are ride-sharing apps Uber and Lyft, Alphabet’s Waymo, and Tesla. Uber started out the year with a few setbacks as their self-driving cars missed several red lights in San Francisco due to software error, not human error as had been reported previously. Later on, Uber shared details about its car visualization platform used internally. In December, Uber’s self driving car program hit 2 million miles.

In the meantime, Waymo’s self-driving cars got their first real riders in April, and later 商海风云无限约会最新版下载 2.0 安卓版-我游网:1 天前 · 相关下载 商海风云黑马游戏最新手机版 1.0.1 安卓版68.1 MB 无光之夜免费最新版 1.0.0 安卓版0 bytes 龙之谷2腾讯互动版安装包 1.0.0 安卓版3.91 GB 虾米传奇修改最新存档 0.394 安卓版30 MB. Waymo also published details about their testing and simulation technology.

A Waymo simulation showing improved vehicle navigation

Lyft announced that it is building its own autonomous driving hard- and software. Its first pilot in Boston is now underway. Tesla Autpilot hasn’t seen much of an update, but there’s a newcomer to the space: Apple. Tim Cook ssr安卓最新版下载 that Apple is working on software for self-driving cars, and researchers from Apple published a mapping-related paper on arXiv.

Applications: Cool Research Projects

So many interesting projects and demos were published this year that it’s impossible to mention all of them here. However, here are a couple the stood out during the year:

  • Background removal with Deep Learning
  • Creating Anime characters with Deep Learning
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  • A Real-time Mario Kart 64 AI
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  • Edges to Cats

And on the more research-y side:

  • The Unsupervised Sentiment Neuron – A system which learns an excellent representation of sentiment, despite being trained only to predict the next character in the text of Amazon reviews.
  • Learning to Communicate – Research in which agents develop their own language.
  • The Case for Learning Index Structures – Using neural nets to outperform cache-optimized B-Trees by up to 70% in speed while saving an order-of-magnitude in memory over several real-world data set.
  • Attention is All You Need
  • Mask R-CNN – A general framework for object instance segmentation
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Neural Networks used for supervised learning are notoriously data hungry. That’s why open datasets are an incredibly important contribution to the research community. The following are a few datasets that stood out this year:

  • Youtube Bounding Boxes
  • Google QuickDraw Data
  • DeepMind Open Source Datasets
  • Google Speech Commands Dataset
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  • Nsynth dataset of annotated musical notes
  • Quora Question Pairs

Deep Learning, Reproducibility, and Alchemy

Throughout the year, several researchers raised concerns about the reproducibility of academic paper results. Deep Learning models often rely on a huge number of hyperparameters which must to be optimized in order to achieve results that are good enough to publish. This optimization can become so expensive that only companies such as Google and Facebook can afford it. Researchers do not always release their code, forget to put important details into the finished paper, use slightly different evaluation procedures, or overfit to the dataset by repeatedly optimizing hyperparameters on the same splits. This makes reproducibility a big issue. In 夜电app最新版下载_夜电app最新安卓版下载v1.9.9_咖绿茵 ...:1 天前 · 咖绿茵手游站提供夜电app最新版下载 《夜电app最新版》是一款可伍让你交到更多好友的社交聊天平台,软件中有着来自五湖四海的用户,都是经过实名认证的,用户可伍大胆放心的聊天哦,全新的社交方式,带给用户更多有趣的交友体验,用户可伍一键匹配同爱好的对方,聊天话题会更多。, researchers showed that the same algorithms taken from different code bases achieve vastly different results with high variance:


In 最强答人安卓版|最强答人最新版下载_v1.0_单机8下载站:2021-6-15 · 最强答人最新版最强答人最新版是一款休闲的答题小游戏,这里上有天文,下有地理,知识覆盖面广,答题趣味多,情节非常的有趣,有兴趣的小伙伴快来下载试试吧!!最可靠的下载, researchers showed that a well-tuned GAN using expensive hyperparameter search can beat more sophisticated approaches that claim to be superior. Similarly, in On the State of the Art of Evaluation in Neural Language Models, researchers showed that simple LSTM architectures, when properly regularized and tuned, can outperform more recent models.

In a NIPS talk that resonated with many researchers, Ali Rahimi compared recent Deep Learning approaches to Alchemy and called for more rigorous experimental design. Yann LeCun took it as an insult and promptly ssr手机安卓 the next day.


With United States immigration policies tightening, it seems that companies are increasingly opening offices overseas, with Canada being a prime destination. Google opened a new office in Toronto, DeepMind opened a new office in ssr下载官方, and Facebook AI Research is expanding to Montreal as well.

China is another destination that is receiving a lot of attention. With a lot of capital, a large talent pool, and government data readily available, it is ssr安卓最新版下载 head to head with the United States in terms of AI developments and production deployments. Google also announced that it will soon open a new lab in Beijing.


Modern Deep Learning techniques famously require expensive GPUs to train state-of-the-art models. So far, NVIDIA has been the big winner. This year, it announced its new Titan V flagship GPU. It comes in gold color, by the way.

But competition is increasing. Google’s TPUs are now available on its cloud platform, Intel’s Nervana unveiled a new set of chips, and even Tesla admitted that it is working on its own AI hardware. Competition may also come from China, where hardware makers specializing in Bitcoin mining want to enter the Artificial Intelligence focused GPU space.

Hype and Failures

With great hype comes great responsibility. What the mainstream media reports almost never corresponds to what actually happened in a research lab or production system. IBM Watson is the poster-child over overhyped marketing and failed to deliver corresponding results. This year, everyone was hating on IBM Watson, which is not surprising after its repeated failures in healthcare.

The story capturing the most hype was probably Facebook’s “Researchers shut down AI that invented its own language”, which I won’t link to on purpose. It has already done enough damage and you can google it. Of course, the title couldn’t have been further from the truth. What happened was researchers stopping a standard experiment that did not seem to give good results.

But it’s not only the press that is guilty of hype. Researchers also overstepped boundaries with titles and abstracts that do not reflect the actual experiment results, such as in this natural language generation paper, or this Machine Learning for markets paper.

High-Profile Hires and Departures

Andrew Ng, the Coursera co-founder who is probably most famous for his Machine Learning MOOC, was in the news several times this year. Andrew left Baidu where he was leading the AI group in March, raised a new $150M fund, and announced a new startup,, focused on the manufacturing industry. In other news, Gary Marcus stepped down as the director of Uber’s artificial intelligence lab, Facebook hired away Siri’s Natural Language Understanding Chief, and several prominent researchers left OpenAI to start a new robotics company.

The trend of Academia losing scientists to the industry also continued, with university labs complaining that they cannot compete with the salaries offered by the industry giants.

Startup Investments and Acquisitions

Just like the year before, the AI startup ecosystem was booming with several high-profile acquisitions:

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  • Softbank bought robot maker Boston Dynamics (which famously does not use much Machine Learning)
  • Facebook bought AI assistant startup Ozlo
  • Samsung acquired Fluently to build out Bixby

… and new companies raising large sums of money:

  • Mythic raised $8.8 million to put AI on a chip
  • Element AI, a platform for companies to build AI solutions, raised $102M
  • raised $50M and added Andrew Ng to its board
  • Graphcore raised $30M
  • Appier raised a $33M Series C
  • raised $13M
  • Sophia Genetics raises $30 million to help doctors diagnose using AI and genomic data

And finally, Happy New Year! Thanks for sticking with this post for so long :)

Hype or Not? Some Perspective on OpenAI’s DotA 2 Bot

See the Hacker News Discussion for additional context.

Update (August 17th, 2017): OpenAI has published a blog post with more details about the bot. Almost everything of the post below still holds true, however. OpenAI’s post is sparse on technical details as they “not ready to talk about agent internals — the team is focused on solving 5v5 first.”. See this tweetstorm by @smerity for a good analysis.

When I read today’s news about OpenAI’s DotA 2 bot beating human players at The International, an eSports tournament with a prize pool of over $24M, I was jumping with excitement. For one, I am a big eSports fan. I have never played DotA 2, but I regularly watch other eSports competitions on Twitch and even played semi-professionally when I was in high school. But more importantly, multiplayer online battle arena (MOBA) games like DotA and real-time strategy (RTS) games like Starcraft 2, are seen as being way beyond the capabilities of current Artificial Intelligence techniques. These games require long-term strategic decision making, multiplayer cooperation, and have significantly more complex state and action spaces than Chess, Go, or Atari, all of which have been “solved” by AI techniques over the past decades. DeepMind has been working on Starcraft 2 for a while and just recently released their research environment. So far no researchers have managed to make significant breakthroughs. It is thought that we are at least 1-2 years away from beating good human players at Starcraft 2.

That’s why the OpenAI news came as such a shock. How can this be true? Have there been recent breakthroughs that I wasn’t aware of? As I started looking more into what exactly the DotA 2 bot was doing, how it was trained, and what game environment it was in, I came to the conclusion that it’s an impressive achievement, but not the AI breakthrough the press would like you to believe it is. That’s what this post is about. I would like to offer a sober explanation of what’s actually new. There is a real danger of overhyping Artificial Intelligence progress, nicely captured by misleading tweets like these:

Let me start out by saying that none of the hype or incorrect assumptions is the fault of OpenAI researchers. OpenAI has traditionally been very straightforward and explicit about the limitations of their research contributions. I am sure it will be the same in this case. OpenAI has not yet published technical details of their solution, so it is easy to jump to wrong conclusions for people not in the field.

Let’s start out by looking at how difficult the problem that the DotA 2 bot is solving actually is. How does it compare to something like AlphaGo?

  • 1v1 is not comparable to 5v5. In a typical game of DotA 2, a team of 5 plays against another team of 5 players. These games require high-level strategy, team communication and coordination, and typically take around 45 minutes. 1v1 games are much more restricted. Two players basically move down a single lane and try to kill each other. It’s typically over in a few minutes. Beating an opponent in 1v1 requires mechanical skill and short-term tactics, but none of the things, like long term planning or coordination, that are challenging for current AI techniques. In fact, the number of useful actions you can take is less than in a game of Go. The effective state space (the player’s idea of what’s currently going on in the game), if represented in a smart way, should be smaller than in Go as well.
  • Bots have access to more information: The OpenAI bot was built on top of the game’s bot API, giving it access to all kinds of information humans do not have access to. Even if OpenAI researchers restricted access to certain kinds of information, the bot still has access to more exact information than humans. For example, a skill may only hit an opponent within a certain range and a human player must look at the screen and estimate the current distance to the opponent. That takes practice. The bot knows the exact distance and can make an immediate decision to use the skill or not. Having access to all kinds of exact numerical information is a big advantage. In fact, during the game, one could see the bot executing skills at the maximum distance several times.
  • Reaction Times: Bots can react instantly, human’s can’t. Coupled with the information advantage from above this is another big advantage. For example, once the opponent is out of range for a specific skill a bot can immediately cancel it.
  • Learning to play a single specific character: There are 100 different characters with different innate abilities and strengths. The only character the bot learns to play, Shadow Fiend, generally does immediate attacks (as opposed to more complex skills lasting over a period of time) and benefits from knowing exact distances and having fast reactions times – exactly what a bot is good at.
  • Hard-coded restrictions: The bot was not trained from scratch knowing nothing about the game. Item choices were hardcoded, and so were certain techniques, such as creep block, that were deemed necessary to win. It seems like what was learned is mostly the interaction with the opponent.

Given that 1v1 is mostly a game of mechanical skill, it is not surprising that a bot beats human players. And given the severely restricted environment, the artificially restricted set of possible actions, and that there was little to no need for long-term planning or coordination, I come to the conclusion that this problem was actually significantly easier than beating a human champion in the game of Go. We did not make sudden progress in AI because our algorithms are so smart – it worked because our researchers are smart about setting up the problem in just the right way to work around the limitations of current techniques. The training time for the bot, said to be around 2 weeks, suggests the same. AlphaGo required several months of highly distributed large-scale training on Google’s GPU clusters. We’ve made some progress since then, but not something that reduces computational requirements by an order of magnitude.

Now, enough with the criticism. The work may be a little overhyped by the press, but there are in fact some extremely cool and surprising things about it. And clearly, a large amount of challenging engineering work and partnership building must have gone into making this happen.

  • Trained entirely through self-play: The bot does not need any training data. It does not learn from human demonstrations either. It starts out completely random and keeps playing against itself. While this technique is nothing new, it is surprising (at least to me) that the bot learns techniques that human players are also known to use, as suggested by comments (here and here). I don’t know enough about the DotA 2 to judge this, but I think it’s extremely cool. There may be other techniques the bot has learned but humans are not even aware of. This is similar to what we’ve seen with AlphaGo, where human players started to learn from its unintuitive moves and adjusted their own game play. (Update: It has been confirmed that certain techniques were hardcoded, so it is unclear what exactly is learned)
  • ssr小工具官网安卓版: Having challenging environments, such as DotA 2 and Starcraft 2, to test new AI techniques on is extremely important. If we can convince the eSports community and game publishers that we can provide value by applying AI techniques to games, we can expect a lot of support in return, and this may result in much faster AI progress.
  • Partially Observable environments: While the details of how OpenAI researchers handled this with the API are unclear, a human player only sees what’s on the screen and may have a restricted set of view e.g. uphill. This means, unlike with games like Go or Chess or Atari (and more like Poker) we are in a partially observable environment – we don’t have access to full information about the current game state. Such problems are typically much harder to solve and an active area of research where progress is severely needed. That being said, it is unclear how much partial observability in a 1v1 DotA 2 match really matters – there isn’t too much to strategize about.

Above all, I’m very excited to read OpenAI’s technical report of what actually went into building this.

Thanks to @smerity for useful feedback, suggestions, and DotA knowledge.

Learning Reinforcement Learning (with Code, Exercises and Solutions)

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Why Study Reinforcement Learning

Reinforcement Learning is one of the fields I’m most excited about. Over the past few years amazing results like learning to play Atari Games from raw pixels and Mastering the Game of Go have gotten a lot of attention, but RL is also widely used in Robotics, Image Processing and Natural Language Processing.

Combining Reinforcement Learning and Deep Learning techniques works extremely well. Both fields heavily influence each other. On the Reinforcement Learning side Deep Neural Networks are used as function approximators to learn good representations, e.g. to process Atari game images or to understand the board state of Go. In the other direction, RL techniques are making their way into supervised problems usually tackled by Deep Learning. For example, RL techniques are used to implement attention mechanisms in image processing, or to optimize long-term rewards in conversational interfaces and neural translation systems. Finally, as Reinforcement Learning is concerned with making optimal decisions it has some extremely interesting parallels to human Psychology and Neuroscience (and many other fields).

With lots of open problems and opportunities for fundamental research I think we’ll be seeing multiple Reinforcement Learning breakthroughs in the coming years. And what could be more fun than teaching machines to play Starcraft and Doom?

How to Study Reinforcement Learning

There are many excellent Reinforcement Learning resources out there. Two I recommend the most are:

  • David Silver’s Reinforcement Learning Course
  • Richard Sutton’s & Andrew Barto’s Reinforcement Learning: An Introduction (2nd Edition) book.

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That covers the theory. But what about practical resources? What about actually implementing the algorithms that are covered in the book/course? That’s where this post and the Github repository comes in. I’ve tried to implement most of the standard Reinforcement Algorithms using Python, OpenAI Gym and Tensorflow. I separated them into chapters (with brief summaries) and exercises and solutions so that you can use them to supplement the theoretical material above. All of this is in the Github repository.

Some of the more time-intensive algorithms are still work in progress, so feel free to contribute. I’ll update this post as I implement them.

Table of Contents

  • Introduction to RL problems, OpenAI gym
  • MDPs and Bellman Equations
  • Dynamic Programming: Model-Based RL, Policy Iteration and Value Iteration
  • Monte Carlo Model-Free Prediction & Control
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  • Function Approximation
  • Deep Q Learning (WIP)
  • Policy Gradient Methods (WIP)
  • Learning and Planning (WIP)
  • Exploration and Exploitation (WIP)


  • Dynamic Programming Policy Evaluation

  • Dynamic Programming Policy Iteration

  • Dynamic Programming Value Iteration
  • Monte Carlo Prediction
  • Monte Carlo Control with Epsilon-Greedy Policies
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  • SARSA (On Policy TD Learning)
  • Q-Learning (Off Policy TD Learning)
  • Q-Learning with Linear Function Approximation
  • Deep Q-Learning for Atari Games
  • Double Deep-Q Learning for Atari Games
  • Deep Q-Learning with Prioritized Experience Replay (WIP)
  • Policy Gradient: REINFORCE with Baseline
  • Policy Gradient: Actor Critic with Baseline
  • Policy Gradient: Actor Critic with Baseline for Continuous Action Spaces
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In a ssr安卓最新版下载 I went over some of the theory behind Recurrent Neural Networks (RNNs) and the implementation of a simple RNN from scratch. That’s a useful exercise, but in practice we use libraries like Tensorflow with high-level primitives for dealing with RNNs.

With that using an RNN should be as easy as calling a function, right? Unfortunately that’s not quite the case. In this post I want to go over some of the best practices for working with RNNs in Tensorflow, especially the functionality that isn’t well documented on the official site.

The post comes with a Github repository that contains Jupyter notebooks with minimal examples for:

  • Using tf.SequenceExample
  • Batching and Padding
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  • Bidirectional Dynamic RNN
  • RNN Cells and Cell Wrappers
  • Masking the Loss

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The Code and data for this tutorial is on Github.

Retrieval-Based bots

In this post we’ll implement a retrieval-based bot. Retrieval-based models have a repository of pre-defined responses they can use, which is unlike generative models that can generate responses they’ve never seen before. A bit more formally, the input to a retrieval-based model is a context ssr下载官方 (the conversation up to this point) and a potential response r. The model outputs is a score for the response. To find a good response you would calculate the score for multiple responses and choose the one with the highest score.

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Deep Learning for Chatbots, Part 1 – Introduction

Chatbots, also called Conversational Agents or Dialog Systems, are a hot topic. Microsoft is making big bets on chatbots, and so are companies like Facebook (M), Apple (Siri), Google, WeChat, and Slack. There is a new wave of startups trying to change how consumers interact with services by building consumer apps like ssr安卓最新版下载 or, bot platforms like ssr手机安卓, and bot libraries like Howdy’s Botkit. Microsoft recently released their own bot developer framework.

Many companies are hoping to develop bots to have natural conversations indistinguishable from human ones, and many are claiming to be using NLP and Deep Learning techniques to make this possible. But with all the hype around AI it’s sometimes difficult to tell fact from fiction.

In this series I want to go over some of the Deep Learning techniques that are used to build conversational agents, starting off by explaining where we are right now, what’s possible, and what will stay nearly impossible for at least a little while. This post will serve as an introduction, and we’ll get into the implementation details in upcoming posts.

Continue reading “Deep Learning for Chatbots, Part 1 – Introduction”

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A recent trend in Deep Learning are Attention Mechanisms. In an interview, Ilya Sutskever, now the research director of OpenAI, mentioned that Attention Mechanisms are one of the most exciting advancements, and that they are here to stay. That sounds exciting. But what are Attention Mechanisms?

Attention Mechanisms in Neural Networks are (very) loosely based on the visual attention mechanism found in humans. Human visual attention is well-studied and while there exist different models, all of them essentially come down to being able to focus on a certain region of an image with “high resolution” while perceiving the surrounding image in “low resolution”, and then adjusting the focal point over time.

Continue reading “Attention and Memory in Deep Learning and NLP”

Implementing a CNN for Text Classification in TensorFlow

The full code is available on Github.

In this post we will implement a model similar to Kim Yoon’s Convolutional Neural Networks for Sentence Classification. The model presented in the paper achieves good classification performance across a range of text classification tasks (like Sentiment Analysis) and has since become a standard baseline for new text classification architectures.

Continue reading “Implementing a CNN for Text Classification in TensorFlow”

Understanding Convolutional Neural Networks for NLP

When we hear about Convolutional Neural Network (CNNs), we typically think of Computer Vision. CNNs were responsible for major breakthroughs in Image Classification and are the core of most Computer Vision systems today, from Facebook’s automated photo tagging to self-driving cars.

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Continue reading “Understanding Convolutional Neural Networks for NLP”