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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 model is unknown…
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 strongly-concave min-max problems. These problems have…
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. In engineering applications, dimensionality reduction is crucial for making…
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 Mean Discrepancies (MMD) and Wasserstein…
Benchmarking Graph Neural Networks – Rewrite Vijay Prakash Dwivedi, Chaitanya K. Joshi, Anh Tuan Luu, Thomas Laurent, Yoshua Bengio, Xavier Bresson; 24(43):1−48, 2023. Abstract Over the past few years, graph neural networks (GNNs) have become the standard tool for analyzing…
MALib: A Parallel Framework for Population-based Multi-agent Reinforcement Learning Ming Zhou, Ziyu Wan, Hanjing Wang, Muning Wen, Runzhe Wu, Ying Wen, Yaodong Yang, Yong Yu, Jun Wang, Weinan Zhang; 24(150):1−12, 2023. Abstract Population-based multi-agent reinforcement learning (PB-MARL) combines dynamic population…
The Multimarginal Optimal Transport Formulation of Adversarial Multiclass Classification Nicolás García Trillos, Matt Jacobs, Jakwang Kim; 24(45):1−56, 2023. Abstract This paper explores a range of adversarial multiclass classification problems and presents alternative formulations using: 1) a set of generalized barycenter…
Generalization error bounds for multiclass sparse linear classifiers Authors: Tomer Levy, Felix Abramovich; Published in: Journal of Machine Learning Research, 24(151):1−35, 2023. Abstract This study focuses on high-dimensional multiclass classification using sparse multinomial logistic regression. Unlike binary classification, multiclass classification…
A Group-Theoretic Approach to Computational Abstraction: Symmetry-Driven Hierarchical Clustering Authors: Haizi Yu, Igor Mineyev, Lav R. Varshney; 24(47):1−61, 2023. Abstract This theory paper presents a mathematical formulation for computationally emulating human-like abstractions, known as computational abstraction. It explores the abstraction…
Selective Inference for K-means Clustering Yiqun T. Chen, Daniela M. Witten; 24(152):1−41, 2023. Abstract We examine the issue of testing for a difference in means between clusters of observations identified through k-means clustering. Traditional hypothesis tests in this scenario result…
