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[AI from Scratch] Episode 195: Positional Encoding — Handling Word Order in Sequences

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Recap: Multi-Head Attention Mechanism

In the previous episode, we explained the Multi-Head Attention Mechanism, a core technology within the Transformer model. This mechanism allows the model to understand the context of text from multiple perspectives, enhancing the generation and comprehension of text. By capturing relationships between words from various angles, the multi-head attention mechanism enables the generation of coherent and contextually accurate sentences. In this episode, we will dive into another crucial component of the Transformer model: Positional Encoding.

What Is Positional Encoding?

Positional Encoding is a technique that allows the Transformer model to learn the order information of words in an input sequence. While traditional sequential models like RNNs and LSTMs naturally preserve word order due to their sequential nature, the Transformer processes data in parallel, making it necessary to explicitly convey the order of words. Positional Encoding solves this challenge.

Understanding Positional Encoding Through an Analogy

Think of Positional Encoding as “assigning a tag number to each word.” For example, in the sentence “I went to school,” Positional Encoding assigns “I” as position 1, “went” as position 2, “to” as position 3, and so on. This numbering helps the model understand the order of words, making it easier to learn the relationships between them.

Types of Positional Encoding

There are primarily two types of Positional Encoding: Absolute Positional Encoding and Relative Positional Encoding. Let’s discuss their characteristics and differences.

1. Absolute Positional Encoding

Absolute Positional Encoding assigns a unique position to each word in the input sequence. This method was used in the original Transformer model, where specific mathematical formulas, such as sine and cosine functions, generate positional information. These functions provide a consistent variation in position, helping the model learn word order.

Example: Sine and Cosine Encoding

Using position ( pos ) and dimension ( i ), the encoding is calculated as follows:

[
PE(pos, 2i) = \sin\left(\frac{pos}{10000^{2i/d}}\right)
]
[
PE(pos, 2i+1) = \cos\left(\frac{pos}{10000^{2i/d}}\right)
]

where ( d ) is the dimension of the embedding vector. This approach provides a periodic variation for each position, allowing the model to understand word order through regular patterns.

2. Relative Positional Encoding

Relative Positional Encoding encodes the position based on the relative distance between words rather than assigning a fixed position. Unlike Absolute Positional Encoding, it considers the distance between words, making it effective for handling long sequences and adapting to changes in context.

Example: Differentiating Near and Distant Words

In the sentence “He went to the movies with her yesterday,” “He” and “her” are relatively close, but “He” and “movies” are further apart. Relative Positional Encoding encodes these distances, emphasizing the connection between nearby words while reducing the weight of connections between distant words.

The Role of Positional Encoding

Positional Encoding plays a critical role in helping the model understand word order, aiding in contextual comprehension. The benefits include:

1. Maintaining Word Order

While the Transformer allows for parallel processing, this can result in the loss of word order information. Positional Encoding preserves this information, enabling the model to accurately capture the sequence and context of the text.

2. Enabling Diverse Interpretations of Context

By considering the distance between words, Positional Encoding communicates the relationships between different parts of the text to the model, allowing for diverse interpretations based on the context.

3. Handling Long Texts

Even with long texts, Positional Encoding ensures that the context is accurately preserved, helping the model maintain coherence and understand the overall meaning consistently.

Applications of Positional Encoding

1. NLP Tasks

In tasks like machine translation and text summarization, Positional Encoding is crucial. Since word order can significantly alter the meaning of a sentence, maintaining accurate order information through encoding is essential for these tasks.

2. Speech Recognition

Positional Encoding is also applied in the field of speech recognition. When processing audio signals over time, encoding the position of each signal on the time axis helps achieve precise speech recognition.

3. Time Series Data Analysis

Positional Encoding is used in time series data analysis, such as stock prices or weather data. It reflects the order of time-based sequences, improving prediction accuracy for time-dependent data.

Summary

In this episode, we covered Positional Encoding, a technique for managing word order information in sequences within the Transformer model. Positional Encoding is essential for understanding the context of sequences and comes in two forms: Absolute and Relative Positional Encoding, each effective in different situations. In the next episode, we will explore BERT and its learning method, the Masked Language Model.


Preview of the Next Episode

Next time, we will discuss BERT and the Masked Language Model. BERT uses self-supervised learning by masking specific words and predicting them, achieving high-accuracy natural language processing. We will explain its mechanisms and advantages in detail. Stay tuned!


Annotations

  1. Positional Encoding: A technique that encodes word order information for the model, aiding in context comprehension within the Transformer model.
  2. Absolute Positional Encoding: An approach using fixed mathematical formulas like sine and cosine functions to encode each word’s position.
  3. Relative Positional Encoding: A method encoding the relative distance between words, enabling flexible understanding of context.
  4. Parallel Processing: The technique of performing multiple computations simultaneously, enhancing the efficiency of the Transformer model.
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