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A Temporal Kolmogorov-Arnold Transformer for Time Series Forecasting

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arxiv 2406.02486 v2 pith:SVKTEBAQ submitted 2024-06-04 cs.LG

classification cs.LG
keywords temporalkolmogorov-arnoldtransformerarchitecturetkatcomplexdependenciespart
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Capturing complex temporal patterns and relationships within multivariate data streams is a difficult task. We propose the Temporal Kolmogorov-Arnold Transformer (TKAT), a novel attention-based architecture designed to address this task using Temporal Kolmogorov-Arnold Networks (TKANs). Inspired by the Temporal Fusion Transformer (TFT), TKAT emerges as a powerful encoder-decoder model tailored to handle tasks in which the observed part of the features is more important than the a priori known part. This new architecture combined the theoretical foundation of the Kolmogorov-Arnold representation with the power of transformers. TKAT aims to simplify the complex dependencies inherent in time series, making them more "interpretable". The use of transformer architecture in this framework allows us to capture long-range dependencies through self-attention mechanisms.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. LESA: Learnable Stage-Aware Predictors for Diffusion Model Acceleration

    cs.CV 2026-02 conditional novelty 6.0 of 10

    A learned, stage-segmented KAN predictor for feature caching accelerates diffusion transformers by 5-6.25x while preserving more image/video fidelity than prior training-free forecasters.

  2. Toroidal area-preserving parameterizations of genus-one closed surfaces

    math.NA 2025-08 unverdicted novelty 5.0 of 10

    Four Riemannian optimization algorithms (projected/Riemannian gradient and conjugate gradient) are proposed to compute toroidal area-preserving parameterizations by minimizing stretch energy on a power manifold of ring tori.

  3. SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functions

    cs.LG 2026-06 conditional novelty 4.0 of 10

    SechKAN combines sech basis functions with a 1D linear projection to build a KAN-style model whose parameter count matches MLPs and which is competitive or better than several KAN variants on tested benchmarks.

  4. SigGate: Enhancing Recurrent Neural Networks with Signature-Based Gating Mechanisms

    cs.LG 2025-02 reject novelty 4.0 of 10

    A signature-based forget/reset gate that ignores the hidden state yields small and task-dependent R2 changes on two crypto forecasting tasks, not the consistent improvement claimed.

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