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We propose thresholding as an approach to deal with class imbalance. We define the concept of thresholding as a process of determining a decision boundary in the presence of a tunable parameter. The threshold is the maximum value of this…

机器学习 · 计算机科学 2016-07-12 Charmgil Hong , Rumi Ghosh , Soundar Srinivasan

Given a connected undirected weighted graph, we are concerned with problems related to partitioning the graph. First of all we look for the closest disconnected graph (the minimum cut problem), here with respect to the Euclidean norm. We…

数值分析 · 数学 2017-12-19 Eleonora Andreotti , Dominik Edelmann , Nicola Guglielmi , Christian Lubich

Graph matching involves combinatorial optimization based on edge-to-edge affinity matrix, which can be generally formulated as Lawler's Quadratic Assignment Problem (QAP). This paper presents a QAP network directly learning with the…

机器学习 · 计算机科学 2021-05-07 Runzhong Wang , Junchi Yan , Xiaokang Yang

Tackling unfairness in graph learning models is a challenging task, as the unfairness issues on graphs involve both attributes and topological structures. Existing work on fair graph learning simply assumes that attributes of all nodes are…

机器学习 · 计算机科学 2023-09-01 Dongliang Guo , Zhixuan Chu , Sheng Li

In this paper, we introduce a graph matching method that can account for constraints of arbitrary order, with arbitrary potential functions. Unlike previous decomposition approaches that rely on the graph structures, we introduce a…

计算机视觉与模式识别 · 计算机科学 2018-02-26 D. Khuê Lê-Huu , Nikos Paragios

Learning the dependence structure among variables in complex systems is a central problem across medical, natural, and social sciences. These structures can be naturally represented by graphs, and the task of inferring such graphs from data…

统计方法学 · 统计学 2026-04-02 Lucas Kook , Søren Wengel Mogensen

The graph matching problem seeks to find an alignment between the nodes of two graphs that minimizes the number of adjacency disagreements. Solving the graph matching is increasingly important due to it's applications in operations…

机器学习 · 统计学 2021-11-11 Ali Saad-Eldin , Benjamin D. Pedigo , Carey E. Priebe , Joshua T. Vogelstein

Various technologies, including computer vision models, are employed for the automatic monitoring of manual assembly processes in production. These models detect and classify events such as the presence of components in an assembly area or…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Anton Sergeev , Victor Minchenkov , Aleksei Soldatov , Vasiliy Kakurin , Yaroslav Mazikov

Although many real-world applications, such as disease prediction, and fault detection suffer from class imbalance, most existing graph-based classification methods ignore the skewness of the distribution of classes; therefore, tend to be…

机器学习 · 计算机科学 2024-07-01 Mahdi Mohammadizadeh , Arash Mozhdehi , Yani Ioannou , Xin Wang

Often the challenge associated with tasks like fraud and spam detection is the lack of all likely patterns needed to train suitable supervised learning models. This problem accentuates when the fraudulent patterns are not only scarce, they…

机器学习 · 计算机科学 2019-05-08 Utkarsh Porwal , Smruthi Mukund

The forcing number of a graph with a perfect matching $M$ is the minimum number of edges in $M$ whose endpoints need to be deleted, such that the remaining graph only has a single perfect matching. This number is of great interest in…

离散数学 · 计算机科学 2024-02-01 Maximilian Gorsky , Fabian Kreßin

Sparse estimation methods capable of tolerating outliers have been broadly investigated in the last decade. We contribute to this research considering high-dimensional regression problems contaminated by multiple mean-shift outliers which…

统计方法学 · 统计学 2025-10-21 Luca Insolia , Ana Kenney , Francesca Chiaromonte , Giovanni Felici

For a graph $G$, let $Z(G,\lambda)$ be the partition function of the monomer-dimer system defined by $\sum_k m_k(G)\lambda^k$, where $m_k(G)$ is the number of matchings of size $k$ in $G$. We consider graphs of bounded degree and develop a…

数据结构与算法 · 计算机科学 2013-09-05 Marc Lelarge , Hang Zhou

Individual fairness guarantees are often desirable properties to have, but they become hard to formalize when the dataset contains outliers. Here, we investigate the problem of developing an individually fair $k$-means clustering algorithm…

机器学习 · 计算机科学 2024-12-17 Binita Maity , Shrutimoy Das , Anirban Dasgupta

Suppose a given observation matrix can be decomposed as the sum of a low-rank matrix and a sparse matrix (outliers), and the goal is to recover these individual components from the observed sum. Such additive decompositions have…

机器学习 · 统计学 2010-12-07 Daniel Hsu , Sham M. Kakade , Tong Zhang

We show that the perfect matching problem in general graphs is in Quasi-NC. That is, we give a deterministic parallel algorithm which runs in $O(\log^3 n)$ time on $n^{O(\log^2 n)}$ processors. The result is obtained by a derandomization of…

计算复杂性 · 计算机科学 2018-09-14 Ola Svensson , Jakub Tarnawski

Zero-Shot learning has been shown to be an efficient strategy for domain adaptation. In this context, this paper builds on the recent work of Bucher et al. [1], which proposed an approach to solve Zero-Shot classification problems (ZSC) by…

机器学习 · 计算机科学 2016-08-29 Maxime Bucher , Stéphane Herbin , Frédéric Jurie

Data association across frames is at the core of Multiple Object Tracking (MOT) task. This problem is usually solved by a traditional graph-based optimization or directly learned via deep learning. Despite their popularity, we find some…

计算机视觉与模式识别 · 计算机科学 2021-03-31 Jiawei He , Zehao Huang , Naiyan Wang , Zhaoxiang Zhang

We describe several algorithms for matrix completion and matrix approximation when only some of its entries are known. The approximation constraint can be any whose approximated solution is known for the full matrix. For low rank…

数值分析 · 数学 2014-07-01 Gil Shabat , Yaniv Shmueli , Amir Averbuch

Many problems in bioinformatics are about finding strings that approximately represent a collection of given strings. We look at more general problems where some input strings can be classified as outliers. The Close to Most Strings problem…

数据结构与算法 · 计算机科学 2012-02-14 Christina Boucher , Gad M. Landau , Avivit Levy , David Pritchard , Oren Weimann