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Global Convergence in Neural ODEs: Impact of Activation Functions

arXiv:2509.22436v1 Announce Type: cross Abstract: Neural Ordinary Differential Equations (ODEs) have been successful in various applications due to their continuous nature and parameter-sharing efficiency. However, these unique characteristics also introduce challenges in training, particularly with respect to gradient computation accuracy…

A Theoretical Analysis of Discrete Flow Matching Generative Models

arXiv:2509.22623v1 Announce Type: cross Abstract: We provide a theoretical analysis for end-to-end training Discrete Flow Matching (DFM) generative models. DFM is a promising discrete generative modeling framework that learns the underlying generative dynamics by training a neural network to approximate…

Multidimensional Uncertainty Quantification via Optimal Transport

arXiv:2509.22380v1 Announce Type: new Abstract: Most uncertainty quantification (UQ) approaches provide a single scalar value as a measure of model reliability. However, different uncertainty measures could provide complementary information on the prediction confidence. Even measures targeting the same type of…

A Unified Empirical Risk Minimization Framework for Flexible N-Tuples Weak Supervision

arXiv:2507.07771v2 Announce Type: replace Abstract: To alleviate the annotation burden in supervised learning, N-tuples learning has recently emerged as a powerful weakly-supervised method. While existing N-tuples learning approaches extend pairwise learning to higher-order comparisons and accommodate various real-world scenarios, they…

Intrinsic Signal Models Defined by the High-Dimensional, Small-Sample Limit

arXiv:2304.06522v2 Announce Type: replace-cross Abstract: The detection of a signal variable from multiple variables that contain many noise variables is often approached as a variable selection problem under a given objective variable. This is nothing more than building a supervised…

CausalKANs: interpretable treatment effect estimation with Kolmogorov-Arnold networks

arXiv:2509.22467v1 Announce Type: new Abstract: Deep neural networks achieve state-of-the-art performance in estimating heterogeneous treatment effects, but their opacity limits trust and adoption in sensitive domains such as medicine, economics, and public policy. Building on well-established and high-performing causal neural…