Created at 11am, Jan 5
sXwbvaWWArtificial Intelligence
1
Long short-term memory
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When we train computers to understand sequences of information (like sentences in a speech or notes in a music piece), it's crucial they remember what came before. Traditional methods, like recurrent neural networks, struggle with this, especially when they need to remember information over long periods or steps.The problem is like trying to follow a story where you keep forgetting the earlier parts. The longer the story, the more you forget, making it difficult to understand the whole picture. This happens because the \'signal\' (or error message) that helps the network learn, gets weaker as it moves back through each layer (imagine trying to hear a whisper from across a long tunnel).Long Short-Term Memory (LSTM) is a clever solution to this problem. It introduces a special way to process information that's akin to having a selective memory. It can choose what to remember and what to forget, thanks to components called \'gates.\' These gates control the flow of information, much like a valve controls the flow of water in a pipe.LSTM networks have a kind of internal conveyor belt that carries important information throughout the learning process. This means they can maintain a strong learning signal over many steps, which is like being able to remember every part of the story, no matter how long it is.This method has proven to be much more effective and efficient than previous ones, especially in tasks that require understanding or remembering information over long periods. It has been a significant breakthrough in teaching computers to process sequences, whether it be language, handwriting, or even music.

To predict the nal element, the net has to learn to store a representation of the second element for at least q C 1 time steps (until it sees the trigger symbol e). Success is dened as prediction error (for nal sequence element) of both output units always below 0:2, for 10,000 successive, randomly chosen input sequences.
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Architecture/Learning. The net has p C 4 input units and 2 output units. Weights are initialized in [0:2; 0:2]. To avoid too much learning time variance due to different weight initializations, the hidden layer gets two memory cells (two cell blocks of size 1, although one would be sufcient). There are no other hidden units. The output layer receives connections only from memory cells. Memory cells and gate units receive connections from input units, memory cells, and gate units (the hidden layer is fully connected). No bias weights are used. h and g are logistic sigmoids with output ranges [1; 1] and [2; 2], respectively. The learning rate is 0.01. Note that the minimal time lag is q C 1; the net never sees short training sequences facilitating the classication of long test sequences.
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Results. Twenty trials were made for all tested pairs .p; q/. Table 3 lists the mean of the number of training sequences required by LSTM to achieve success (BPTT and RTRL have no chance of solving nontrivial tasks with minimal time lags of 1000 steps). Long Short-Term Memory Scaling. Table 3 shows that if we let the number of input symbols (and weights) increase in proportion to the time lag, learning time increases very slowly. This is another remarkable property of LSTM not shared by any other method we are aware of. Indeed, RTRL and BPTT are far from scaling reasonably; instead, they appear to scale exponentially and appear quite useless when the time lags exceed as few as 10 steps. In Table 3, the column headed by q=p gives the expected frequency of distractor symbols. Increasing this frequency decreases learning speed, an effect due to weight oscillations caused by frequently observed input symbols.
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Distractor Inuence. 5.3 Experiment 3: Noise and Signal on Same Channel. This experiment serves to illustrate that LSTM does not encounter fundamental problems if noise and signal are mixed on the same input line. We initially focus on Bengio et al.s simple 1994 two-sequence problem. In experiment 3c we pose a more challenging two-sequence problem.
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