arXiv Machine Learning By Pierre Houedry, Romain Tavenard, Nicolas Courty, Romaric Gaudel

Fast Gradient-Based Approximation of Continuous Dynamic Time Warping

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The paper introduces FastCDTW, an efficient approximation for Continuous Dynamic Time Warping (CDTW). It offers two computational strategies: an exact closed‑form solution for piecewise‑linear warping functions and an unbiased Monte Carlo estimator for smooth warping functions such as those implemented by implicit neural networks. Both approaches provide gradients with respect to the warping function and the input time series, making the algorithm GPU‑friendly and suitable for integration into complex learning tasks like time‑series averaging, classification, and deep domain adaptation.

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arXiv Machine Learning
Sep 16

Time-warping estimation via stationarity-based learning of the de-warped signal

The paper presents TWET, a Time‑Warping Estimation Trainable model that estimates time‑warping functions from a single observation. It frames the problem as a stationarization task in the wavelet domain and uses a hierarchical dilated convolutional architecture with a differentiable stationarity criterion for end‑to‑end training. Experiments demonstrate that TWET achieves higher deformation reconstruction accuracy and faster computation than existing methods, enabling low‑latency applications.

By Corentin Presv\^ots (Phys-ENS), Adrien Meynard (Phys-ENS)
arXiv AI
Sep 16

Continuous-Time Machine Learning: A Unified Mathematical Perspective

The paper surveys continuous‑time (CT) machine learning, a framework for modeling temporal dynamics as continuous processes, especially useful when data are sampled irregularly or over long horizons. It introduces a unified taxonomy that groups major CT methods by their underlying mathematical formulations and shows how different architectural choices—such as vector‑field parameterization, stochasticity, memory mechanisms, and discretization—relate these families. The survey compares training algorithms, optimization strategies, failure modes, computational complexity, and benchmarks, reviews supporting software ecosystems, and outlines open challenges and future research directions.

By Waleed Razzaq, Yun-Sheng Zhao, Yun-Bo Zhao