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In this paper we provide an algorithm which given any $m$-edge $n$-vertex directed graph with integer capacities at most $U$ computes a maximum $s$-$t$ flow for any vertices $s$ and $t$ in $m^{4/3+o(1)}U^{1/3}$ time. This improves upon the…

数据结构与算法 · 计算机科学 2020-04-16 Yang P. Liu , Aaron Sidford

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…

Finding a maximum cut is a fundamental task in many computational settings. Surprisingly, it has been insufficiently studied in the classic distributed settings, where vertices communicate by synchronously sending messages to their…

数据结构与算法 · 计算机科学 2017-07-27 Keren Censor-Hillel , Rina Levy , Hadas Shachnai

Clustering points in a vector space or nodes in a graph is a ubiquitous primitive in statistical data analysis, and it is commonly used for exploratory data analysis. In practice, it is often of interest to "refine" or "improve" a given…

机器学习 · 计算机科学 2022-02-03 K. Fountoulakis , M. Liu , D. F. Gleich , M. W. Mahoney

One issue limiting the adaption of large-scale multi-region segmentation is the sometimes prohibitive memory requirements. This is especially troubling considering advances in massively parallel computing and commercial graphics processing…

计算机视觉与模式识别 · 计算机科学 2015-02-02 John S. H. Baxter , Martin Rajchl , Jing Yuan , Terry M. Peters

In many fields of science, high-dimensional integration is required. Numerical methods have been developed to evaluate these complex integrals. We introduce the code i-flow, a python package that performs high-dimensional numerical…

计算物理 · 物理学 2020-08-19 Christina Gao , Joshua Isaacson , Claudius Krause

We propose a novel approach to compute the MAXCUT in attributed graphs, i.e., graphs with features associated with nodes and edges. Our approach works well on any kind of graph topology and can find solutions that jointly optimize the…

机器学习 · 计算机科学 2025-02-03 Carlo Abate , Filippo Maria Bianchi

Rectified Flow Transformers (RFTs) offer superior training and inference efficiency, making them likely the most viable direction for scaling up diffusion models. However, progress in generation resolution has been relatively slow due to…

计算机视觉与模式识别 · 计算机科学 2024-10-16 Ruoyi Du , Dongyang Liu , Le Zhuo , Qin Qi , Hongsheng Li , Zhanyu Ma , Peng Gao

Solving optimization problems with high performance is the target of existing works of Quantum Approximate Optimization Algorithm (QAOA). With this intention, we propose an advanced QAOA based on incremental learning, where the training…

量子物理 · 物理学 2023-11-07 Lingxiao Li , Jing Li , Yanqi Song , Sujuan Qin , Qiaoyan Wen , Fei Gao

In the complex domain of microfluidics systems, analysing fluid flow patterns through random-shaped circular microchannels is significantly challenging task. Conventional approach of solving such problems using computational fluid dynamics…

计算工程、金融与科学 · 计算机科学 2026-04-21 Ganesh Sahadeo Meshram , Suman Chakraborty , Nishant Sinha , Partha Pratim Chakrabarti

The Feedback-based Algorithm for Quantum Optimization (FALQON) offers a deterministic alternative to variational quantum algorithms by bypassing classical optimization loops. However, maintaining convergence on large problem instances often…

Rectified flow models have become a de facto standard in image generation due to their stable sampling trajectories and high-fidelity outputs. Despite their strong generative capabilities, they face critical limitations in image editing…

计算机视觉与模式识别 · 计算机科学 2025-10-31 Sung-Hoon Yoon , Minghan Li , Gaspard Beaudouin , Congcong Wen , Muhammad Rafay Azhar , Mengyu Wang

To apply optical flow in practice, it is often necessary to resize the input to smaller dimensions in order to reduce computational costs. However, downsizing inputs makes the estimation more challenging because objects and motion ranges…

计算机视觉与模式识别 · 计算机科学 2023-03-30 Hyunyoung Jung , Zhuo Hui , Lei Luo , Haitao Yang , Feng Liu , Sungjoo Yoo , Rakesh Ranjan , Denis Demandolx

We introduce the notion of {\em fair cuts} as an approach to leverage approximate $(s,t)$-mincut (equivalently $(s,t)$-maxflow) algorithms in undirected graphs to obtain near-linear time approximation algorithms for several cut problems.…

数据结构与算法 · 计算机科学 2023-01-13 Jason Li , Danupon Nanongkai , Debmalya Panigrahi , Thatchaphol Saranurak

We present Im2Flow2Act, a scalable learning framework that enables robots to acquire real-world manipulation skills without the need of real-world robot training data. The key idea behind Im2Flow2Act is to use object flow as the…

机器人学 · 计算机科学 2024-10-07 Mengda Xu , Zhenjia Xu , Yinghao Xu , Cheng Chi , Gordon Wetzstein , Manuela Veloso , Shuran Song

The permutation flow shop scheduling (PFSS), aiming at finding the optimal permutation of jobs, is widely used in manufacturing systems. When solving large-scale PFSS problems, traditional optimization algorithms such as heuristics could…

机器学习 · 计算机科学 2023-12-15 Longkang Li , Siyuan Liang , Zihao Zhu , Chris Ding , Hongyuan Zha , Baoyuan Wu

The increasing computational demands of modern neural networks present deployment challenges on resource-constrained devices. Network pruning offers a solution to reduce model size and computational cost while maintaining performance.…

机器学习 · 计算机科学 2024-03-13 Xiang Meng , Wenyu Chen , Riade Benbaki , Rahul Mazumder

We give faster algorithms for weak expander decompositions and approximate max flow on undirected graphs. First, we show that it is possible to "warm start" the cut-matching game when computing weak expander decompositions, avoiding the…

数据结构与算法 · 计算机科学 2025-11-06 Henry Fleischmann , George Z. Li , Jason Li

Graphs are a natural representation of data from various contexts, such as social connections, the web, road networks, and many more. In the last decades, many of these networks have become enormous, requiring efficient algorithms to cut…

数据结构与算法 · 计算机科学 2021-08-11 Alexander Noe

Flows in networks (or graphs) play a significant role in numerous computer vision tasks. The scalar-valued edges in these graphs often lead to a loss of information and thereby to limitations in terms of expressiveness. For example,…

计算机视觉与模式识别 · 计算机科学 2023-05-16 Viktoria Ehm , Daniel Cremers , Florian Bernard