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An Equivariance Toolbox for Learning Dynamics

arXiv:2512.21447v1 Announce Type: new Abstract: Many theoretical results in deep learning can be traced to symmetry or equivariance of neural networks under parameter transformations. However, existing analyses are typically problem-specific and focus on first-order consequences such as conservation laws, while…

DeepCQ: General-Purpose Deep-Surrogate Framework for Lossy Compression Quality Prediction

arXiv:2512.21433v1 Announce Type: new Abstract: Error-bounded lossy compression techniques have become vital for scientific data management and analytics, given the ever-increasing volume of data generated by modern scientific simulations and instruments. Nevertheless, assessing data quality post-compression remains computationally expensive due…

kooplearn: A Scikit-Learn Compatible Library of Algorithms for Evolution Operator Learning

arXiv:2512.21409v1 Announce Type: new Abstract: kooplearn is a machine-learning library that implements linear, kernel, and deep-learning estimators of dynamical operators and their spectral decompositions. kooplearn can model both discrete-time evolution operators (Koopman/Transfer) and continuous-time infinitesimal generators. By learning these operators,…