Bayesian updating normal distribution

29-Aug-2017 04:51

This gives us our RNN equations: interchangeably.) Let's think about how our model updates its knowledge of the world.

So far, we've placed no constraints on this update, so its knowledge can change pretty chaotically: at one frame it thinks the characters are in the US, at the next frame it sees the characters eating sushi and thinks they're in Japan, and at the next frame it sees polar bears and thinks they're on Hydra Island.

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Also, we use a sigmoid activation because we need numbers between 0 and 1.) Next, we need to compute the information we can learn from (Think of what happens when you read something on the web.

While a news article might contain information about Hillary, you should ignore it if the source is Breitbart.) Let's now combine all these steps.

This chaos means information quickly transforms and vanishes, and it's difficult for the model to keep a long-term memory. Whereas an RNN can overwrite its memory at each time step in a fairly uncontrolled fashion, an LSTM transforms its memory in a very precise way: by using for which pieces of information to remember, which to update, and which to pay attention to.

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The first time I learned about LSTMs, my eyes glazed over. It turns out LSTMs are a fairly simple extension to neural networks, and they're behind a lot of the amazing achievements deep learning has made in the past few years. (Note: if you're already familiar with neural networks and LSTMs, skip to the middle – the first half of this post is a tutorial.) Imagine we have a sequence of images from a movie, and we want to label each image with an activity (is this a fight? If we see a scene of a beach, we should boost beach activities in future frames: an image of someone in the water should probably be labeled This, then, is a recurrent neural network.

After forgetting memories we don't think we'll ever need again and saving useful pieces of incoming information, we have our updated long-term memory: I could have caught a hundred Pidgeys in the time it took me to write this post, so here's a cartoon.

bayesian updating normal distribution-75

bayesian updating normal distribution

Let's look at a few examples of what an LSTM can do.

So what we'd like is for the network to how to update its beliefs (scenes without Bob shouldn't change Bob-related information, scenes with Alice should focus on gathering details about her), in a way that its knowledge of the world evolves more gently. This helps it keep track of information over longer periods of time. At time (both n-length vectors), which we want to update. First, we need to know which pieces of long-term memory to continue remembering and which to discard, so we want to use the new input and our working memory to learn a remember gate of n numbers between 0 and 1, each of which determines how much of a long-term memory element to keep.

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