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How to efficiently and accurately handle image matching outliers is a critical issue in two-view relative estimation. The prevailing RANSAC method necessitates that the minimal point pairs be inliers. This paper introduces a linear relative…

Computer Vision and Pattern Recognition · Computer Science 2024-01-25 Qi Cai , Xinrui Li , Yuanxin Wu

A Graph of Convex Sets (GCS) is a graph in which vertices are associated with convex programs and edges couple pairs of programs through additional convex costs and constraints. Any optimization problem over an ordinary weighted graph…

Optimization and Control · Mathematics 2025-10-24 Tobia Marcucci

We describe algorithms to efficiently compute minimum $(s,t)$-cuts and global minimum cuts of undirected surface-embedded graphs. Given an edge-weighted undirected graph $G$ with $n$ vertices embedded on an orientable surface of genus $g$,…

Data Structures and Algorithms · Computer Science 2019-10-11 Erin W. Chambers , Jeff Erickson , Kyle Fox , Amir Nayyeri

In this work, we propose a graph-adaptive pruning (GAP) method for efficient inference of convolutional neural networks (CNNs). In this method, the network is viewed as a computational graph, in which the vertices denote the computation…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Mengdi Wang , Qing Zhang , Jun Yang , Xiaoyuan Cui , Wei Lin

This work proposes an adaptive trace lasso regularized L1-norm based graph cut method for dimensionality reduction of Hyperspectral images, called as `Trace Lasso-L1 Graph Cut' (TL-L1GC). The underlying idea of this method is to generate…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Ramanarayan Mohanty , S L Happy , Nilesh Suthar , Aurobinda Routray

We propose a scalable framework for solving the Maximum Cut (MaxCut) problem in large graphs using projected gradient ascent on quadratic objectives. Our approach is differentiable and leverages GPUs for gradient-based optimization. It is…

Discrete Mathematics · Computer Science 2026-02-02 Ismail Alkhouri , Mian Wu , Cunxi Yu , Jia Liu , Rongrong Wang , Alvaro Velasquez

Recent advances in machine learning (ML) have shown promise in aiding and accelerating classical combinatorial optimization algorithms. ML-based speed ups that aim to learn in an end to end manner (i.e., directly output the solution) tend…

Machine Learning · Computer Science 2023-10-24 Zohair Shafi , Benjamin A. Miller , Ayan Chatterjee , Tina Eliassi-Rad , Rajmonda S. Caceres

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

Low-rank matrix estimation under heavy-tailed noise is challenging, both computationally and statistically. Convex approaches have been proven statistically optimal but suffer from high computational costs, especially since robust loss…

Statistics Theory · Mathematics 2023-05-12 Yinan Shen , Jingyang Li , Jian-Feng Cai , Dong Xia

Graph similarity computation (GSC) is to calculate the similarity between one pair of graphs, which is a fundamental problem with fruitful applications in the graph community. In GSC, graph edit distance (GED) and maximum common subgraph…

Machine Learning · Computer Science 2024-12-16 Haoran Zheng , Jieming Shi , Renchi Yang

The graphical Lasso (GLASSO) is a widely used algorithm for learning high-dimensional undirected Gaussian graphical models (GGM). Given i.i.d. observations from a multivariate normal distribution, GLASSO estimates the precision matrix by…

Methodology · Statistics 2026-01-15 Ha Nguyen , Sumanta Basu

Estimating the homography matrix between images captured under radically different camera poses and zoom factors is a complex challenge. Traditional methods rely on the Random Sample Consensus (RANSAC) algorithm, which requires pairs of…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 George Nousias , Konstantinos Delibasis , Ilias Maglogiannis

This work addresses the problem of graph learning from data following a Gaussian Graphical Model (GGM) with a time-varying mean. Graphical Lasso (GL), the standard method for estimating sparse precision matrices, assumes that the observed…

Machine Learning · Computer Science 2025-03-26 Samuel Rey , Ernesto Curbelo , Luca Martino , Fernando Llorente , Antonio G. Marques

The Progressive-X algorithm, Prog-X in short, is proposed for geometric multi-model fitting. The method interleaves sampling and consolidation of the current data interpretation via repetitive hypothesis proposal, fast rejection, and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-07 Daniel Barath , Jiri Matas

Robust estimation is primarily concerned with providing reliable parameter estimates in the presence of outliers. Numerous robust loss functions have been proposed in regression and classification, along with various computing algorithms.…

Methodology · Statistics 2024-02-26 Zhu Wang

Normalized graph cut (NGC) has become a popular research topic due to its wide applications in a large variety of areas like machine learning and very large scale integration (VLSI) circuit design. Most of traditional NGC methods are based…

Machine Learning · Computer Science 2015-11-10 Cong Xie , Wu-Jun Li , Zhihua Zhang

In graph signal processing, data samples are associated to vertices on a graph, while edge weights represent similarities between those samples. We propose a convex optimization problem to learn sparse well connected graphs from data. We…

Signal Processing · Electrical Eng. & Systems 2020-04-21 Eduardo Pavez , Antonio Ortega

Robust low-rank matrix completion (RMC), or robust principal component analysis with partially observed data, has been studied extensively for computer vision, signal processing and machine learning applications. This problem aims to…

Machine Learning · Computer Science 2021-06-09 Minhui Huang , Shiqian Ma , Lifeng Lai

Graph partitioning aims to divide a graph into disjoint subsets while optimizing a specific partitioning objective. The majority of formulations related to graph partitioning exhibit NP-hardness due to their combinatorial nature.…

Machine Learning · Computer Science 2024-06-24 Rishi Shah , Krishnanshu Jain , Sahil Manchanda , Sourav Medya , Sayan Ranu

Binary semantic segmentation in computer vision is a fundamental problem. As a model-based segmentation method, the graph-cut approach was one of the most successful binary segmentation methods thanks to its global optimality guarantee of…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Hui Xie , Weiyu Xu , Ya Xing Wang , John Buatti , Xiaodong Wu
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