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The Radon Transform: Exploring Ridges and Neural Networks

by instadatahelp | Sep 5, 2023 | AI Blogs

Ridges, Neural Networks, and the Radon Transform By Michael Unser; Volume 24, Issue 37: Pages 1-33, 2023. Abstract A ridge is a function characterized by a one-dimensional profile (activation) and a multidimensional direction vector. Ridges are relevant in neural...

Optimizing Stochastic Systems amidst Distributional Drift

by instadatahelp | Sep 5, 2023 | AI Blogs

Stochastic Optimization under Distributional Drift Authors: Joshua Cutler, Dmitriy Drusvyatskiy, Zaid Harchaoui; Volume 24, Issue 147, Pages 1-56, 2023. Abstract This study addresses the problem of minimizing a convex function that undergoes unknown and potentially...

Sensing Principles for Linear Inverse Problems in Unsupervised Learning

by instadatahelp | Sep 5, 2023 | AI Blogs

Sensing Theorems for Unsupervised Learning in Linear Inverse Problems Julián Tachella, Dongdong Chen, Mike Davies; 24(39):1−45, 2023. Abstract Learning the underlying signal model in an ill-posed linear inverse problem is necessary for solving it. However, when the...

Convergence of Objective and Duality Gap for Non-Convex Strongly-Concave Min-Max Problems with PL Condition at High Speed

by instadatahelp | Sep 5, 2023 | AI Blogs

Fast Convergence of Non-Convex Strongly-Concave Min-Max Problems with PL Condition Zhishuai Guo, Yan Yan, Zhuoning Yuan, Tianbao Yang; 24(148):1−63, 2023. Abstract This paper presents a study on stochastic methods for efficiently solving smooth non-convex...

A Spatio-Temporal Data Dimensionality Reduction Paradigm Independent of Meshes

by instadatahelp | Sep 5, 2023 | AI Blogs

Neural Implicit Flow: A Mesh-Agnostic Dimensionality Reduction Paradigm for Spatio-Temporal Data Shaowu Pan, Steven L. Brunton, J. Nathan Kutz; 24(41):1−60, 2023. Abstract High-dimensional spatio-temporal dynamics often have a low-dimensional subspace representation....

Using Kernel Norms to Control Wasserstein Distances and its Application in Compressive Statistical Learning

by instadatahelp | Sep 5, 2023 | AI Blogs

Controlling Wasserstein Distances by Kernel Norms in Compressive Statistical Learning In the field of machine learning, comparing probability distributions is a crucial task. Two popular methods for measuring the distance between probability distributions are Maximum...
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