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Transformer for Time Series

Deep neural network architecture, initially designed for NLP, adapted to model complex and long-term dependencies in temporal sequential data through its attention mechanisms.

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Self-Attention

Process where each element in a time sequence interacts with all other elements in the same sequence to compute a contextual representation, essential for understanding internal dependencies.

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PatchTST

Transformer model that segments the time series into subsequences (patches) before processing them, reducing computational complexity and improving the ability to model local and global dependencies.

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Informer

Enhanced Transformer architecture introducing a sparse attention mechanism and distillation to effectively reduce complexity and mitigate the problem of forecast degradation over long horizons.

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Sparse Attention

Variant of the attention mechanism where each token only focuses on a selected subset of other tokens, drastically reducing computational cost from O(n²) to O(n log n) or O(n).

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Long-Horizon Forecasting

Prediction task involving estimating time series values over an extended time horizon, a major challenge where Transformers excel due to their handling of long-term dependencies.

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Long-Term Temporal Dependency

Statistical relationship between an observation and values far in the past, which traditional models like RNNs struggle to capture but which Transformers model effectively.

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Multi-Head Attention

Layer composed of multiple attention heads in parallel, concatenating their outputs to allow the model to focus on different positions and extract richer features.

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Bottleneck Transformer

Architecture variant that compresses the input sequence into a lower-dimensional latent space before applying attention mechanisms, to efficiently handle very long time series.

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Time Series Tokenization

Process of discretizing or segmenting a continuous time series into a sequence of discrete 'tokens', which serve as input to the Transformer's processing layers.

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Wash-out Effect

Phenomenon where relevant information from old time steps is lost or 'washed out' during propagation through multiple layers of a model, a problem that attention mechanisms aim to solve.

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Quadratic Complexity

Computational cost of O(n²) for standard attention, where n is the sequence length, which constitutes the main limitation of Transformers for very long time series.

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Contextual Representation

Embedding vector for a given time step that is computed based on all other time steps in the sequence, thus capturing its meaning and importance in the global context.

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Encoder-Decoder Layers

Transformer structure where the encoder processes the input sequence (history) to create a representation, and the decoder uses this representation to generate the output sequence (forecasts) step by step.

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