Go Summarize

Attention is all you need (Transformer) - Model explanation (including math), Inference and Training

Umar Jamil2023-05-28
transformer#deep learning#pytorch#ai#ml#machine learning#attention is all you need
184K views|1 years ago
💫 Short Summary

The video provides an in-depth explanation of the Transformer model as an improvement over recurrent neural networks (RNNs) for sequence-to-sequence tasks. It discusses the problems with RNNs, such as slow processing for long sequences, vanishing or exploding gradients, and difficulty in accessing information from long ago, leading to the need for the Transformer model. The structure of the Transformer, including the encoder and decoder blocks connected by a linear layer, is also covered. In this video, the speaker explains the Transformer model, starting with the input embeddings and positional encoding in the encoder. Input embeddings map words into 512-dimensional vectors, with each word represented by 512 numbers. Positional encoding is then used to add information about the position of each word in the sentence to the embeddings. This allows the model to understand the spatial distribution of words within the input sequence. The video discusses the Transformer model's positional encodings using cosine and sine functions, as well as the self-attention mechanism, which allows the model to relate words to each other within a sentence. It explains the calculation of self-attention and its desirable properties, such as permutation invariance and the ability to set certain word interactions to zero. The video also introduces the concept of multi-head attention as an extension of self-attention within the Transformer architecture. Understanding Multi-Head Attention in Transformers: This video explains how multi-head attention works in Transformers, where the input sentence is split and processed by different heads to capture various aspects of the words in the sentence. The video also discusses the visualization of attention and the concepts of query, key, and value matrices, as well as layer normalization in the Transformer encoder. The video provides a detailed explanation of layer normalization and batch normalization in transformer models, as well as the mechanism of masked multi-head attention which ensures causality in the model. It also covers the training process of a transformer model for a translation task, involving the encoder, decoder, and positional embeddings. The video explains the Transformer model in natural language processing, detailing its components such as encoder, decoder, multi-head attention, and the training and inference processes. It also introduces strategies like greedy search and beam search for inference. The content provides a comprehensive understanding of the Transformer model and its implementation. In the video, the speaker encourages viewers to subscribe to the channel and provide feedback on what they didn't understand and how the videos can be improved. The speaker expresses gratitude and wishes the viewers a great day.

✨ Highlights
📊 Transcript
✦
Introduction to the video and the purpose of discussing the Transformer model.
00:00
This video is a part of a series on the Transformer model, with improved audio quality based on viewer feedback.
The video will cover the problems with recurrent neural networks and how the Transformer model addresses these issues.
✦
Overview of recurrent neural networks (RNN) and their limitations.
00:56
RNNs were used for sequence-to-sequence tasks before the introduction of the Transformer model.
RNNs require one time step for each token in the input sequence, making them slow for long sequences.
RNNs suffer from vanishing or exploding gradients, which affects training.
RNNs have difficulty in retaining information from long sequences for future predictions.
✦
Explanation of vanishing and exploding gradients in neural networks.
04:42
In a long chain of computation, the multiplication of small or large numbers can result in extremely small or large values.
This is problematic because it affects the speed of weight adjustments during training.
Long chains of computation can lead to vanishing gradients (very slow weight updates) or exploding gradients (very large weight updates).
✦
Challenges of accessing information from the distant past in recurrent neural networks.
07:24
The last token in a long input sequence may not depend much on the first token due to the diminishing contribution of the initial hidden state.
RNNs struggle to capture long-range dependencies, impacting their ability to understand context from the distant past in a sequence.
✦
Introduction to the Transformer model and its structure.
08:11
The Transformer model consists of two main blocks: the encoder and the decoder.
The encoder-decoder connection allows the decoder to access information from the encoder's output.
The video will use notations and review some math concepts like matrix multiplication for explanation.
✦
Introduction to Word Representations in a Matrix
00:09
Words are represented by 512 numbers in a matrix.
Each word is a row in the matrix.
The matrix is 6x512, with 512 numbers along each row.
✦
Matrix Multiplication and Dot Product
00:10
Multiplying the word matrix by its transpose results in a 6x6 output matrix.
The value of each element in the output matrix is the dot product of a row with a column.
The dot product involves multiplying corresponding numbers and summing the results.
✦
Transformer Encoder: Input Embeddings
00:12
Sentence is tokenized into single words.
Words are mapped to numbers based on their position in the vocabulary.
Numbers are then mapped to a 512-dimensional vector, which can change during the model's training.
✦
Transformer Encoder: Positional Encoding
00:15
Positonal encoding provides information about the position of words in the sentence.
It helps the model understand the spatial distribution of words.
Positonal encoding vectors are added to the word embeddings.
The values in the positional encoding vectors are calculated based on the position of the word in the sentence.
✦
Positional encoding is used in transformer models to provide information about the position of words in a sentence.
00:19
Authors chose cosine and sine functions to represent positional encodings.
The plot of these functions shows the position of the word inside the sentence and the depth along the vector.
✦
Self-attention allows the model to relate words to each other based on their meaning and position in the sentence.
00:20
Input sequence with six words and a model of size 512 is represented as a matrix Q K and V.
Self-attention is calculated using a formula involving the multiplication of Q and K, division by the square root of 512, and applying softmax.
The output matrix represents the relationship of each word with all the other words in the sentence.
✦
Self-attention properties include permutation invariance, no learned parameters, and the ability to control word interactions before applying softmax.
00:24
Permutation invariance means the output values change position when the input rows are rearranged.
Self-attention does not introduce any learned parameters except for the embedding of the words.
Values along the diagonal in the self-attention matrix are expected to be the maximum.
Before applying softmax, values can be replaced with minus infinity to control word interactions.
✦
Multi-head attention is a way to convert self-attention into multiple parallel attention mechanisms.
00:27
The self-attention we saw earlier becomes the multi-head attention.
The multi-head attention allows the model to focus on different parts of the input, and then the results are concatenated and linearly transformed.
✦
The Transformer model on the encoder side processes the input sentence using multi-head attention mechanism.
00:28
Input sentence size is 6 by 512, where 6 is the sequence length and 512 is the size of the word embedding.
The input is copied four times, with one copy sent along a certain connection and three copies sent to multi-head attention with different names (query, key, value).
Multi-head attention multiplies the copied matrices by parameter matrices (WQ, WK, WV) and then splits them into smaller matrices for each head to focus on different aspects of the input.
✦
Multi-head attention allows different heads to learn and focus on different aspects of the same word, which is helpful for understanding context in languages like Chinese.
00:31
Each head in the multi-head attention focuses on a different aspect of the embedding of each word.
This is useful for languages where a word can have different meanings or roles depending on the context, such as being a noun, verb, or adverb.
✦
The multi-head attention mechanism visualizes the relationship between words using the query, key, and value matrices.
00:32
The attention score represents the intensity of the relationship between two words.
Different heads may relate the same word to different words based on the aspects of the embedding they focus on.
✦
Layer normalization is a technique used in the encoder to calculate the mean and variance of features for each item in a batch.
00:35
In the example, a batch of n items is used, with each item having multiple features.
Layer normalization calculates the mean and variance of each feature across the batch to normalize the data.
✦
Normalization in the Transformer model
00:38
Normalization is done to ensure that the new values are all in the range 0 to 1.
The new values are obtained by replacing each value with a given expression.
The new values are multiplied by a learnable parameter called gamma and then added with another learnable parameter called beta.
✦
The input for the decoder in the Transformer model is prepared by adding positional encoding and sending it to the multi-head attentions with a causal mask.
00:47
To support a sequence length of 1000, padding is added to the input sentence.
The input is transformed into embeddings and sent to the multi-head attentions with a causal mask.
The output of the encoder is sent to the decoder as keys and values, while the queries come from the previous layer.
A linear layer is used to map the sequence by D model into another sequence by vocabulary size.
The model then applies softmax to determine the output token.
✦
The Transformer model uses special tokens like SOS (start of sentence) and EOS (end of sentence) to indicate the beginning and end of a sequence.
00:49
The start of sentence token is used to signal the start of the translation.
The model outputs one token at a time, with the end of sentence token indicating the completion of the translation.
The Transformer has solved the issue of mapping n input sequence into an output sequence in one time step.
✦
During inference, the Transformer model maps an English sentence to an Italian sentence token by token, and the output of the previous step is fed as input to the next step.
00:52
The input for the encoder is prepared by adding positional encoding and sending it to the encoder.
The encoder produces an output that captures the meaning, position, and interaction of all the words.
For the decoder, only the start of sentence token is given as input, and the output of the previous step is appended for the subsequent steps.
The inference process takes multiple time steps, with the output of the previous step used as input for the next step.
The inference stops when the end of sentence token is generated.
✦
During inference, the Transformer model uses the greedy strategy to select the word with the maximum softmax value at each step. However, beam search is a better strategy as it considers the top B values at each step and keeps the most probable sequences.
00:55
Greedy strategy: Selects the word with the maximum softmax value at each step.
Beam search strategy: Considers the top B values at each step, inferences the next possible tokens for each choice, and keeps the most probable sequences.
Beam search generally performs better than the greedy strategy.
✦
You should subscribe to the channel and provide feedback for improvement.
00:57
Subscribe to the channel and let the creator know what you didn't understand.
Provide feedback on any problems in the videos for future improvement.
✦
Conclusion and gratitude
00:58
Thanking the viewers for their feedback and support.
Wishing everyone a great rest of the day.
💫 FAQs about This YouTube Video

1. What are the problems with recurrent neural networks that led to the development of the Transformer?

The problems with recurrent neural networks that led to the development of the Transformer are the slow processing for long sequences, vanishing or exploding gradients, and difficulty in accessing information from long ago in the sequence.

2. How does the structure of the Transformer differ from recurrent neural networks?

The Transformer consists of an encoder and a decoder connected by a linear layer, allowing for parallel processing and avoiding the problems of RNNs, such as the vanishing or exploding gradients.

3. What are the key features of the Transformer model?

The key features of the Transformer model include the use of self-attention mechanism, parallel processing in the encoder-decoder structure, and the ability to handle long sequences more effectively than recurrent neural networks.

4. How does the Transformer model solve the problems faced by recurrent neural networks?

The Transformer model solves the problems faced by recurrent neural networks through the use of self-attention mechanism, parallel processing of the encoder-decoder structure, and the ability to handle long sequences more effectively, avoiding the issues of slow processing and vanishing or exploding gradients.

5. Why was the development of the Transformer necessary in the field of sequence-to-sequence tasks?

The development of the Transformer was necessary in the field of sequence-to-sequence tasks to overcome the limitations of recurrent neural networks, such as slow processing for long sequences, vanishing or exploding gradients, and the difficulty in accessing information from long ago in the sequence.

6. What is the purpose of positional encoding in the Transformer model?

Positional encoding in the Transformer model serves to provide information about the position of words within a sentence, allowing the model to understand the sequential order of the words.

7. How does self-attention work in the Transformer model?

Self-attention in the Transformer model allows the model to relate words to each other within the same sentence, capturing the relationships and dependencies between the words.

8. What are the properties and benefits of self-attention in the Transformer model?

Self-attention in the Transformer model is permutation invariant, requires no additional learned parameters, and allows for the manipulation of word interactions before the softmax function is applied. It also helps capture relationships and dependencies between words, making it a powerful mechanism for natural language processing tasks.

9. Can you explain the concept of multi-head attention in the Transformer model?

Multi-head attention in the Transformer model allows the model to focus on different parts of the input representation and learn different tasks in parallel, enhancing the model's capacity to capture various types of relationships and dependencies within the data.

10. What is multi-head attention in the Transformer model?

Multi-head attention in the Transformer model involves splitting the input into multiple copies, each going through its own attention head to capture different aspects of the data, allowing the model to learn relationships between words from different perspectives.

11. How is the multi-head attention helpful in capturing different aspects of the data?

Multi-head attention allows the model to capture different aspects of the data by using multiple attention heads to learn relationships between words from different perspectives, enabling the model to understand the context and meaning of the words more effectively.

12. What is the role of query, key, and value matrices in multi-head attention?

The query, key, and value matrices in multi-head attention are used to calculate the attention scores and capture the relationships between words, allowing the model to focus on different parts of the input and learn the dependencies between words in the data.

13. How does the multi-head attention mechanism work in the Transformer model?

The multi-head attention mechanism in the Transformer model works by splitting the input into multiple copies, each going through its own attention head with query, key, and value matrices to capture different aspects of the data and learn relationships between words from different perspectives, enhancing the model's ability to understand the input.

14. What are the benefits of using multi-head attention in the Transformer model?

Using multi-head attention in the Transformer model brings benefits such as the ability to capture different aspects of the data, learn relationships between words from various perspectives, understand the context and meaning of words more effectively, and improve the model's overall performance in handling sequential data.

15. What is the difference between batch normalization and layer normalization?

Batch normalization calculates the mean and variance across the batch dimension, while layer normalization calculates the mean and variance across the feature dimension for each individual item in the batch.

16. How does the Masked Multi-Head Attention in the Transformer model ensure causality?

The Masked Multi-Head Attention in the Transformer model ensures causality by replacing the values corresponding to future words with -infinity before applying the softmax, effectively preventing the model from accessing future information during the self-attention calculation.

17. What are the special tokens used in the Transformer model for sequence generation?

The special tokens used in the Transformer model for sequence generation are the 'start of sentence' (SOS) token and the 'end of sentence' (EOS) token, which indicate the beginning and end of a sentence respectively.

18. How does the Transformer model handle sequence length variation during input encoding?

The Transformer model handles sequence length variation during input encoding by adding padding to the sequences to achieve a desired length, ensuring that all input sequences become of the same length when fed into the model.

19. What is the role of positional encoding in the Transformer model?

The positional encoding in the Transformer model conveys the position of words in the input sequence, allowing the model to take into account the sequential order of the words when processing the input.

20. What are the key components of the Transformer model discussed in the video?

The video discusses the key components of the Transformer model, including the encoder, decoder, multi-head attention, positional encoding, and the use of special tokens like SOS and EOS.

21. How does the training process of the Transformer model work?

The training process of the Transformer model involves preparing the input for the encoder and decoder, feeding the input through the model, calculating the cross-entropy loss, and backpropagating the loss to update the model's weights. The video also explains the use of special tokens and the generation of the target output during training.

22. What is the power of the Transformer model in handling long sequences?

The Transformer model is powerful in handling long sequences due to its ability to process input and generate output in one pass, without the need for recurrent neural networks and time steps. This results in fast training and high performance, as demonstrated in models like GPT and BERT.

23. How does the inference process of the Transformer model work?

The inference process of the Transformer model involves feeding the input sequence through the encoder to generate the encoder output, and then using that output as the input for the decoder to generate the target output sequence. The video also discusses strategies for inference, such as the greedy strategy and beam search, and emphasizes the importance of handling the inference process token by token.

24. What is the significance of special tokens like SOS and EOS in the Transformer model?

Special tokens like SOS (Start of Sentence) and EOS (End of Sentence) play a significant role in the Transformer model, particularly in tasks like translation. These tokens help the model understand the beginning and end of a sentence, and are essential for guiding the generation of the target output during both training and inference.

25. What is the creator asking viewers to do at the end of the video?

At the end of the video, the creator asks viewers to subscribe to the channel and provide feedback on what they didn't understand and any problems that can be improved for the next videos.

26. How can viewers support the creator of the video?

Viewers can support the creator of the video by subscribing to the channel and offering feedback on what they didn't understand and any potential improvements for future videos.

27. What is the creator's request for feedback from viewers?

The creator requests feedback from viewers on what they didn't understand and any problems that can be improved for the next videos, while also asking viewers to subscribe to the channel.