Department of Mathematics and Statistics, University of Regina(Regina 大学数学与统计学系);Department of Computer Science, University of Regina(Regina 大学计算机科学系);Department of Computer Science, University of British Columbia(不列颠哥伦比亚大学计算机科学系);Department of Computer Science, Simon Fraser University(Simon Fraser 大学计算机科学系);Alberta Machine Intelligence Institute (Amii)(阿尔伯塔人工智能研究所)
Shaun Fallat, Kamyar Khodamoradi, David Kirkpatrick, Valerii Maliuk, S. Ahmad Mojallal, Sandra Zilles
We study the problem of learning hypergraphs with shortest-path queries (SP-queries), and present the first provably optimal online algorithm for a broad and natural class of hypertrees that we call orderly hypertrees. Our online algorithm can be transformed into a provably optimal offline algorithm. Orderly hypertrees can be positioned within the Fagin hierarchy of acyclic hypergraph (well-studied in database theory), and strictly encompass the broadest class in this hierarchy that is learnable with subquadratic SP-query complexity.
Recognizing that in some contexts, such as evolutionary tree reconstruction, distance measurements can degrade with increased distance, we also consider a learning model that uses bounded distance queries. In this model, we demonstrate asymptotically tight complexity bounds for learning general hypertrees.
Fast and Provably Convergent Algorithms for Gromov-Wasserstein in Graph Data
Stanford University(斯坦福大学);Hong Kong University of Science and Technology(香港科技大学);The Chinese University of Hong Kong(香港中文大学);Shanghai University of Finance and Economics(上海财经大学)
Divide and Conquer: Provably Unveiling the Pareto Front with Multi-Objective Reinforcement Learning
Vrije Universiteit Brussel(布鲁塞尔自由大学);Université de Montréal(蒙特利尔大学);Mila - Quebec AI Institute(米拉-魁北克人工智能研究所);University of Galway(戈尔韦大学);City of Amsterdam(阿姆斯特丹市);Utrecht University(乌得勒支大学)
MGDA Converges under Generalized Smoothness, Provably
School of Electrical, Computer and Energy Engineering, Arizona State University(亚利桑那州立大学电气、计算机与能源工程学院);Department of Computer Science and Engineering, University at Buffalo(纽约州立大学布法罗分校计算机科学与工程学院)
What resources are needed for optimal learning of bosonic Gaussian states?
Institute for Quantum Information and Matter(量子信息研究所);Caltech(加州理工学院);Scuola Normale Superiore(高等师范大学);Inria(法国国家科学与技术研究院);Télécom Paris – LTCI(巴黎电信学院 – LTCI);Institut Polytechnique de Paris(巴黎理工学院)