Category Research Papers

Delve into the cutting edge of Artificial Intelligence with our dedicated Research Paper section.

Concentration analysis of multivariate elliptic diffusions

Concentration analysis of multivariate elliptic diffusions Lukas Trottner, Cathrine Aeckerle-Willems, Claudia Strauch; 24(106):1−38, 2023. Abstract We prove concentration inequalities and associated PAC bounds for both continuous- and discrete-time additive functionals for possibly unbounded functions of multivariate, nonreversible diffusion processes. Our…

A Permutation-Free Kernel Independence Test

A Permutation-Free Kernel Independence Test Shubhanshu Shekhar, Ilmun Kim, Aaditya Ramdas; 24(369):1−68, 2023. Abstract In nonparametric independence testing, we observe i.i.d.\ data $\{(X_i,Y_i)\}_{i=1}^n$, where $X \in \mathcal{X}, Y \in \mathcal{Y}$ lie in any general spaces, and we wish to test…

On the Dynamics Under the Unhinged Loss and Beyond

On the Dynamics Under the Unhinged Loss and Beyond Xiong Zhou, Xianming Liu, Hanzhang Wang, Deming Zhai, Jiangjunjun, Xiangyang Ji; 24(376):1−62, 2023. Abstract Recent works have studied implicit biases in deep learning, especially the behavior of last-layer features and classifier…

a neural network with trainable product layers

[1809.04564] On the Generalization of Stochastic Gradient Descent with Momentum

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