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Functional Interpolation for Relative Positions Improves Long Context Transformers
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Preventing the performance decay of Transformers on inputs longer than those used for training has been an important challenge in extending the context length of these models. Though the Transformer architecture has fundamentally no limits on the input sequence lengths it can process, the choice of position encoding used during training can limit the performance of these models on longer inputs. We propose a novel functional relative position encoding with progressive interpolation, FIRE, to improve Transformer generalization to longer contexts. We theoretically prove that this can represent some of the popular relative position encodings, such as T5's RPE, Alibi, and Kerple. We next empirically show that FIRE models have better generalization to longer contexts on both zero-shot language modeling and long text benchmarks.
Forward citations
Cited by 3 Pith papers
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ClockRoPE: Random Fourier Rotations for Temporal Routine Modeling
Random Fourier Rotations let transformer position encodings approximate any positive-definite attention kernel; ClockRoPE applies this to model daily/weekly routines in sequential recommendation.
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Extrapolation by Association: Length Generalization Transfer in Transformers
Length generalization on a short-trained main task can be inherited from a longer-trained related auxiliary task trained jointly with it.
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HoPE: Hyperbolic Rotary Positional Encoding for Stable Long-Range Dependency Modeling in Large Language Models
HoPE replaces RoPE's sine/cosine rotations with hyperbolic functions plus an exponential damping term to enforce monotonic attention decay, but the claimed consistent superiority and the 'RoPE as special case' theorem...
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