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We consider the Minimum Multi-Commodity Flow Subgraph (MMCFS) problem: given a directed graph $G$ with edge capacities $\mathit{cap}$ and a retention ratio $\alpha\in(0,1)$, find an edge-wise minimum subgraph $G' \subseteq G$ such that for…

Data Structures and Algorithms · Computer Science 2025-09-17 Markus Chimani , Max Ilsen

This paper introduces the unsupervised assignment flow that couples the assignment flow for supervised image labeling with Riemannian gradient flows for label evolution on feature manifolds. The latter component of the approach encompasses…

Machine Learning · Computer Science 2019-12-17 Artjom Zern , Matthias Zisler , Stefania Petra , Christoph Schnörr

The maximum labelled clique problem is a variant of the maximum clique problem where edges in the graph are given labels, and we are not allowed to use more than a certain number of distinct labels in a solution. We introduce a new…

Data Structures and Algorithms · Computer Science 2014-11-18 Ciaran McCreesh , Patrick Prosser

Online continual learning, especially when task identities and task boundaries are unavailable, is a challenging continual learning setting. One representative kind of methods for online continual learning is replay-based methods, in which…

Machine Learning · Computer Science 2022-09-26 Yan-Shuo Liang , Wu-Jun Li

While accelerators such as GPUs have limited memory, deep neural networks are becoming larger and will not fit with the memory limitation of accelerators for training. We propose an approach to tackle this problem by rewriting the…

Machine Learning · Computer Science 2019-10-03 Tung D. Le , Haruki Imai , Yasushi Negishi , Kiyokuni Kawachiya

Multi-label classification is a widely encountered problem in daily life, where an instance can be associated with multiple classes. In theory, this is a supervised learning method that requires a large amount of labeling. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-02 XIn Zhang , Yuqi Song , Fei Zuo , Xiaofeng Wang

In clinical practice, medical image interpretation often involves multi-labeled classification, since the affected parts of a patient tend to present multiple symptoms or comorbidities. Recently, deep learning based frameworks have attained…

Computer Vision and Pattern Recognition · Computer Science 2021-02-17 Jintai Chen , Hongyun Yu , Ruiwei Feng , Danny Z. Chen , Jian Wu

We present a refinement framework for multilevel hypergraph partitioning that uses max-flow computations on pairs of blocks to improve the solution quality of a $k$-way partition. The framework generalizes the flow-based improvement…

Data Structures and Algorithms · Computer Science 2018-02-15 Tobias Heuer , Peter Sanders , Sebastian Schlag

Multi-label classification (MLC) problems are becoming increasingly popular in the context of medical imaging. This has in part been driven by the fact that acquiring annotations for MLC is far less burdensome than for semantic segmentation…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Thomas Kurmann , Pablo Marquez Neila , Sebastian Wolf , Raphael Sznitman

The incorporation of region regularization into max-flow segmentation has traditionally focused on ordering and part-whole relationships. A side effect of the development of such models is that it constrained regularization only to those…

Computer Vision and Pattern Recognition · Computer Science 2014-06-09 John S. H. Baxter , Martin Rajchl , Jing Yuan , Terry M. Peters

Despite a surge of interest in submodular maximization in the data stream model, there remain significant gaps in our knowledge about what can be achieved in this setting, especially when dealing with multiple constraints. In this work, we…

Data Structures and Algorithms · Computer Science 2022-04-12 Moran Feldman , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

We provide an algorithm which, with high probability, maintains a $(1-\epsilon)$-approximate maximum flow on an undirected graph undergoing $m$-edge additions in amortized $m^{o(1)} \epsilon^{-3}$ time per update. To obtain this result, we…

Data Structures and Algorithms · Computer Science 2023-11-07 Jan van den Brand , Li Chen , Rasmus Kyng , Yang P. Liu , Richard Peng , Maximilian Probst Gutenberg , Sushant Sachdeva , Aaron Sidford

We consider discrete pairwise energy minimization problem (weighted constraint satisfaction, max-sum labeling) and methods that identify a globally optimal partial assignment of variables. When finding a complete optimal assignment is…

Discrete Mathematics · Computer Science 2014-06-17 Alexander Shekhovtsov

Extreme multi-label classification aims to learn a classifier that annotates an instance with a relevant subset of labels from an extremely large label set. Many existing solutions embed the label matrix to a low-dimensional linear…

Machine Learning · Computer Science 2018-11-06 Yuefeng Liang , Cho-Jui Hsieh , Thomas C. M. Lee

We present an exact algorithm for computing all common subgraphs with the maximum number of vertices across multiple graphs. Our approach is further extended to handle the connected Maximum Common Subgraph (MCS), identifying the largest…

Data Structures and Algorithms · Computer Science 2025-04-03 Johannes B. S. Petersen , Akbar Davoodi , Thomas Gärtner , Marc Hellmuth , Daniel Merkle

Modeling the evolution of high-dimensional systems from limited snapshot observations at irregular time points poses a significant challenge in quantitative biology and related fields. Traditional approaches often rely on dimensionality…

Machine Learning · Computer Science 2025-08-07 Justin Lee , Behnaz Moradijamei , Heman Shakeri

In this work, we develop a new framework for dynamic network flow problems based on optimal transport theory. We show that the dynamic multi-commodity minimum-cost network flow problem can be formulated as a multi-marginal optimal transport…

Optimization and Control · Mathematics 2021-06-29 Isabel Haasler , Axel Ringh , Yongxin Chen , Johan Karlsson

Extreme multi-label learning (XML) or classification has been a practical and important problem since the boom of big data. The main challenge lies in the exponential label space which involves $2^L$ possible label sets especially when the…

Machine Learning · Computer Science 2018-06-11 Wenjie Zhang , Junchi Yan , Xiangfeng Wang , Hongyuan Zha

Labor-intensive labeling becomes a bottleneck in developing computer vision algorithms based on deep learning. For this reason, dealing with imperfect labels has increasingly gained attention and has become an active field of study. We…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Heewon Kim , Hyun Sung Chang , Kiho Cho , Jaeyun Lee , Bohyung Han

Minimum cut/maximum flow (min-cut/max-flow) algorithms solve a variety of problems in computer vision and thus significant effort has been put into developing fast min-cut/max-flow algorithms. As a result, it is difficult to choose an ideal…

Computer Vision and Pattern Recognition · Computer Science 2022-04-21 Patrick M. Jensen , Niels Jeppesen , Anders B. Dahl , Vedrana A. Dahl