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Advances in the image-based diagnostics of complex biological and manufacturing processes have brought unsupervised image segmentation to the forefront of enabling automated, on the fly decision making. However, most existing unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Ashif Sikandar Iquebal , Satish Bukkapatnam

We develop new $(1+\epsilon)$-approximation algorithms for finding the global minimum edge-cut in a directed edge-weighted graph, and for finding the global minimum vertex-cut in a directed vertex-weighted graph. Our algorithms are…

Data Structures and Algorithms · Computer Science 2025-12-17 Ron Mosenzon

We pull together previously established graph-theoretical results to produce the algorithm in the paper's title. The glue are three easy elementary lemmas.

Data Structures and Algorithms · Computer Science 2018-07-12 Assaf Kfoury

Execution graphs of parallel loop programs exhibit a nested, repeating structure. We show how such graphs that are the result of nested repetition can be represented by succinct parametric structures. This parametric graph template…

Data Structures and Algorithms · Computer Science 2023-07-18 Tal Ben-Nun , Lukas Gianinazzi , Torsten Hoefler , Yishai Oltchik

In this paper, we consider the problem of approximating the densest subgraph in the dynamic graph stream model. In this model of computation, the input graph is defined by an arbitrary sequence of edge insertions and deletions and the goal…

Data Structures and Algorithms · Computer Science 2015-06-16 Andrew McGregor , David Tench , Sofya Vorotnikova , Hoa T. Vu

We give an algorithm that takes a directed graph $G$ undergoing $m$ edge insertions with lengths in $[1, W]$, and maintains $(1+\epsilon)$-approximate shortest path distances from a fixed source $s$ to all other vertices. The algorithm is…

Data Structures and Algorithms · Computer Science 2025-06-25 Yang P. Liu

We consider the CONGEST model on a network with $n$ nodes, $m$ edges, diameter $D$, and integer costs and capacities bounded by $\text{poly} n$. In this paper, we show how to find an exact solution to the minimum cost flow problem in…

Data Structures and Algorithms · Computer Science 2023-04-05 Tijn de Vos

Given a flow network with variable suppliers and fixed consumers, the minimax flow problem consists in minimizing the maximum flow between nodes, subject to flow conservation and capacity constraints. We solve this problem over acyclic…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Marco Coraggio , Saber Jafarpour , Francesco Bullo , Mario di Bernardo

We propose a novel entropy flow on weighted graphs, which provides a principled framework that characterizes the evolution of probability distributions over graph structures while sharing geometric intuition with discrete Ricci flow. We…

Classical Analysis and ODEs · Mathematics 2026-04-10 Juan Zhao , Jicheng Ma , Yunyan Yang , Liang Zhao

This paper focuses on finding a spanning tree of a graph to maximize the number of its internal vertices. We present an approximation algorithm for this problem which can achieve a performance ratio $\frac{4}{3}$ on undirected simple…

Data Structures and Algorithms · Computer Science 2014-09-15 Xingfu Li , Daming Zhu

Reducing the running time of graph algorithms is vital for tackling real-world problems such as shortest paths and matching in large-scale graphs, where path information plays a crucial role. To address this critical challenge, this paper…

Data Structures and Algorithms · Computer Science 2026-04-14 Akshar Chavan , Sanaz Rabinia , Daniel Grosu , Marco Brocanelli

Recently, the dense correlation volume method achieves state-of-the-art performance in optical flow. However, the correlation volume computation requires a lot of memory, which makes prediction difficult on high-resolution images. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Zihua Zheng , Ni Nie , Zhi Ling , Pengfei Xiong , Jiangyu Liu , Hao Wang , Jiankun Li

We present a family of fast pseudo-approximation algorithms for the minimum balanced vertex separator problem in a graph. Given a graph $G=(V,E)$ with $n$ vertices and $m$ edges, and a (constant) balance parameter $c\in(0,1/2)$, where $G$…

Data Structures and Algorithms · Computer Science 2026-03-18 Vladimir Kolmogorov , Jack Spalding-Jamieson

We investigate the complexity and approximability of the budget-constrained minimum cost flow problem, which is an extension of the traditional minimum cost flow problem by a second kind of costs associated with each edge, whose total value…

Data Structures and Algorithms · Computer Science 2016-07-11 Michael Holzhauser , Sven O. Krumke , Clemens Thielen

The aim of this paper is to present how data collected from a water distribution network (WDN) can be used to reconstruct flow rate and flow direction all over the network to enhance knowledge and detection of unforeseen events. The…

Physics and Society · Physics 2018-07-27 Christophe Dumora , David Auber , Jérémie Bigot , Vincent Couallier , Cyril Leclerc

We consider the \textsf{Unit Interval Selection} problem in the one-pass random order streaming model. Here, an algorithm is presented a sequence of $n$ unit-length intervals on the line that arrive in uniform random order, and the…

Data Structures and Algorithms · Computer Science 2026-03-11 Cezar-Mihail Alexandru , Adithya Diddapur , Magnús M. Halldórsson , Christian Konrad , Kheeran K. Naidu

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

Optimization and Control · Mathematics 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

We present an $\tilde O(m+n^{1.5})$-time randomized algorithm for maximum cardinality bipartite matching and related problems (e.g. transshipment, negative-weight shortest paths, and optimal transport) on $m$-edge, $n$-node graphs. For…

Data Structures and Algorithms · Computer Science 2021-10-15 Jan van den Brand , Yin-Tat Lee , Danupon Nanongkai , Richard Peng , Thatchaphol Saranurak , Aaron Sidford , Zhao Song , Di Wang

(Neal and Hinton, 1998) recast maximum likelihood estimation of any given latent variable model as the minimization of a free energy functional $F$, and the EM algorithm as coordinate descent applied to $F$. Here, we explore alternative…

Computation · Statistics 2023-02-21 Juan Kuntz , Jen Ning Lim , Adam M. Johansen

Efficient execution of deep learning workloads on dataflow architectures is crucial for overcoming memory bottlenecks and maximizing performance. While streaming intermediate results between computation kernels can significantly improve…

Hardware Architecture · Computer Science 2025-09-24 Hanchen Ye , Deming Chen
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