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Flow matching has emerged as a powerful generative framework, with recent few-step methods achieving remarkable inference acceleration. However, we identify a critical yet overlooked limitation: these models suffer from severe diversity…

Machine Learning · Computer Science 2026-04-15 Yexiong Lin , Jia Shi , Shanshan Ye , Wanyu Wang , Yu Yao , Tongliang Liu

The problem of minimizing a multilinear function of binary variables is a well-studied NP-hard problem. The set of solutions of the standard linearization of this problem is called the multilinear set. We study a cardinality constrained…

Optimization and Control · Mathematics 2021-08-31 Rui Chen , Sanjeeb Dash , Oktay Gunluk

Graph Neural Networks (GNNs) have shown great performance in various tasks, with the core idea of learning from data labels and aggregating messages within the neighborhood of nodes. However, the common challenges in graphs are twofold:…

Machine Learning · Computer Science 2024-11-04 Shenghe Zheng , Hongzhi Wang , Xianglong Liu

We consider the optimization of complex performance metrics in multi-label classification under the population utility framework. We mainly focus on metrics linearly decomposable into a sum of binary classification utilities applied…

Machine Learning · Computer Science 2024-07-02 Erik Schultheis , Wojciech Kotłowski , Marek Wydmuch , Rohit Babbar , Strom Borman , Krzysztof Dembczyński

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

A variety of modern applications exhibit multi-view multi-label learning, where each sample has multi-view features, and multiple labels are correlated via common views. Current methods usually fail to directly deal with the setting where…

Machine Learning · Computer Science 2023-08-30 Zhiwei Li , Zijian Yang , Lu Sun , Mineichi Kudo , Kego Kimura

The bandwidth of a graph G is the minimum of the maximum difference between adjacent labels when the vertices have distinct integer labels. We provide a polynomial algorithm to produce an optimal bandwidth labeling for graphs in a special…

Combinatorics · Mathematics 2007-05-23 Le Tu Quoc Hung , Maciej M. Syslo , Margaret L. Weaver , Douglas B. West

In reality, learning from multi-view multi-label data inevitably confronts three challenges: missing labels, incomplete views, and non-aligned views. Existing methods mainly concern the first two and commonly need multiple assumptions to…

Machine Learning · Computer Science 2024-06-12 Xiang Li , Songcan Chen

In recent years, deep neural network is widely used in machine learning. The multi-class classification problem is a class of important problem in machine learning. However, in order to solve those types of multi-class classification…

Machine Learning · Computer Science 2018-06-08 Qizhi Zhang , Kuang-Chih Lee , Hongying Bao , Yuan You , Wenjie Li , Dongbai Guo

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

Optimization and Control · Mathematics 2025-08-26 Pengfei Liu

Maximum flow (and minimum cut) algorithms have had a strong impact on computer vision. In particular, graph cuts algorithms provide a mechanism for the discrete optimization of an energy functional which has been used in a variety of…

Computer Vision and Pattern Recognition · Computer Science 2011-12-30 Camille Couprie , Leo Grady , Hugues Talbot , Laurent Najman

This paper investigates the problem of active learning for binary label prediction on a graph. We introduce a simple and label-efficient algorithm called S2 for this task. At each step, S2 selects the vertex to be labeled based on the…

Machine Learning · Computer Science 2015-06-30 Gautam Dasarathy , Robert Nowak , Xiaojin Zhu

Maximum diversity problems arise in many practical settings from facility location to social networks, and constitute an important class of NP-hard problems in combinatorial optimization. There has been a growing interest in these problems…

Optimization and Control · Mathematics 2024-01-25 Francisco Parreño , Ramón Álvarez-Valdés , Rafael Martí

With the increasing prevalence of graph-structured data, multi-view graph clustering has been widely used in various downstream applications. Existing approaches primarily rely on a unified message passing mechanism, which significantly…

Artificial Intelligence · Computer Science 2024-10-07 Jianpeng Chen , Yawen Ling , Yazhou Ren , Zichen Wen , Tianyi Wu , Shufei Zhang , Lifang He

We propose a node clustering method for time-varying graphs based on the assumption that the cluster labels are changed smoothly over time. Clustering is one of the fundamental tasks in many science and engineering fields including signal…

Machine Learning · Computer Science 2023-05-12 Katsuki Fukumoto , Koki Yamada , Yuichi Tanaka , Hoi-To Wai

In many real-world classification problems, the labels of training examples are randomly corrupted. Most previous theoretical work on classification with label noise assumes that the two classes are separable, that the label noise is…

Machine Learning · Statistics 2016-08-08 Gilles Blanchard , Marek Flaska , Gregory Handy , Sara Pozzi , Clayton Scott

Subsequence matching has appeared to be an ideal approach for solving many problems related to the fields of data mining and similarity retrieval. It has been shown that almost any data class (audio, image, biometrics, signals) is or can be…

Multimedia · Computer Science 2012-06-13 David Novak , Petr Volny , Pavel Zezula

This paper bridges discrete and continuous optimization approaches for decomposable submodular function minimization, in both the standard and parametric settings. We provide improved running times for this problem by reducing it to a…

Data Structures and Algorithms · Computer Science 2021-03-08 Kyriakos Axiotis , Adam Karczmarz , Anish Mukherjee , Piotr Sankowski , Adrian Vladu

Multi-label image recognition aims to predict a set of labels that present in an image. The key to deal with such problem is to mine the associations between image contents and labels, and further obtain the correct assignments between…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Yanan Wu , Songhe Feng , Yang Wang