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We consider the problem of clustering datasets in the presence of arbitrary outliers. Traditional clustering algorithms such as k-means and spectral clustering are known to perform poorly for datasets contaminated with even a small number…

机器学习 · 统计学 2021-02-02 Prateek R. Srivastava , Purnamrita Sarkar , Grani A. Hanasusanto

Finding vertex-to-vertex correspondences in real-world graphs is a challenging task with applications in a wide variety of domains. Structural matching based on graphs connectivities has attracted considerable attention, while the…

数据结构与算法 · 计算机科学 2024-10-01 Raphaël Candelier

Recently, several clustering algorithms have been used to solve variety of problems from different discipline. This dissertation aims to address different challenging tasks in computer vision and pattern recognition by casting the problems…

计算机视觉与模式识别 · 计算机科学 2018-02-08 Yonatan Tariku Tesfaye

Attribute-missing graph clustering has emerged as a significant unsupervised task, where only attribute vectors of partial nodes are available and the graph structure is intact. The related models generally follow the two-step paradigm of…

机器学习 · 计算机科学 2025-10-30 Mulin Chen , Bocheng Wang , Jiaxin Zhong , Zongcheng Miao , Xuelong Li

How to obtain a graph from data samples is an important problem in graph signal processing. One way to formulate this graph learning problem is based on Gaussian maximum likelihood estimation, possibly under particular topology constraints.…

信号处理 · 电气工程与系统科学 2017-11-02 Keng-Shih Lu , Antonio Ortega

We consider the class of conditional graph patterns (\emph{CGPs}) that allow user to query data graphs with complex patterns that contain negation and predicates. To overcome the prohibitive cost of subgraph isomorphism, we consider…

数据库 · 计算机科学 2022-07-27 Houari Mahfoud

Many real-world problems can be formulated as geometric optimization problems in high dimensions, especially in the fields of machine learning and data mining. Moreover, we often need to take into account of outliers when optimizing the…

计算几何 · 计算机科学 2020-05-04 Hu Ding

Outlier recognition is a fundamental problem in data analysis and has attracted a great deal of attention in the past decades. However, most existing methods still suffer from several issues such as high time and space complexities or…

计算几何 · 计算机科学 2019-04-09 Hu Ding , Mingquan Ye

We study the quadratic assignment problem, in computer vision also known as graph matching. Two leading solvers for this problem optimize the Lagrange decomposition duals with sub-gradient and dual ascent (also known as message passing)…

计算机视觉与模式识别 · 计算机科学 2017-01-13 Paul Swoboda , Carsten Rother , Hassan Abu Alhaija , Dagmar Kainmueller , Bogdan Savchynskyy

Matrix-variate distributions are a recent addition to the model-based clustering field, thereby making it possible to analyze data in matrix form with complex structure such as images and time series. Due to its recent appearance, there is…

机器学习 · 统计学 2025-08-04 Katharine M. Clark , Paul D. McNicholas

We propose a unified and systematic framework for performing online nonnegative matrix factorization in the presence of outliers. Our framework is particularly suited to large-scale data. We propose two solvers based on projected gradient…

机器学习 · 统计学 2016-12-21 Renbo Zhao , Vincent Y. F. Tan

Graph matching has important applications in pattern recognition and beyond. Current approaches predominantly adopt supervised learning, demanding extensive labeled data which can be limited or costly. Meanwhile, self-supervised learning…

机器学习 · 计算机科学 2024-06-26 Jianyuan Bo , Yuan Fang

The graph alignment problem, which considers the optimal node correspondence across networks, has recently gained significant attention due to its wide applications. There are graph alignment methods suited for various network types, but we…

社会与信息网络 · 计算机科学 2025-05-15 Ashley Wang , Peter Chin

This paper addresses the Graph Matching problem, which consists of finding the best possible alignment between two input graphs, and has many applications in computer vision, network deanonymization and protein alignment. A common approach…

机器学习 · 统计学 2024-08-12 Ernesto Araya Valdivia , Hemant Tyagi

In graph modification problems, one is given a graph G and the goal is to apply a minimum number of modification operations (such as edge deletions) to G such that the resulting graph fulfills a certain property. For example, the Cluster…

数据结构与算法 · 计算机科学 2016-06-13 Christian Komusiewicz , André Nichterlein , Rolf Niedermeier

By definition, outliers are rarely observed in reality, making them difficult to detect or analyse. Artificial outliers approximate such genuine outliers and can, for instance, help with the detection of genuine outliers or with…

机器学习 · 计算机科学 2021-05-07 Georg Steinbuss , Klemens Böhm

It is common practice of the outlier mining community to repurpose classification datasets toward evaluating various detection models. To that end, often a binary classification dataset is used, where samples from one of the classes is…

机器学习 · 计算机科学 2021-05-20 Lingxiao Zhao , Leman Akoglu

This paper considers the problem of estimating multiple related Gaussian graphical models from a $p$-dimensional dataset consisting of different classes. Our work is based upon the formulation of this problem as group graphical lasso. This…

机器学习 · 计算机科学 2015-06-19 Qingming Tang , Chao Yang , Jian Peng , Jinbo Xu

We provide a randomized linear time approximation scheme for a generic problem about clustering of binary vectors subject to additional constrains. The new constrained clustering problem encompasses a number of problems and by solving it,…

数据结构与算法 · 计算机科学 2018-07-20 Fedor V. Fomin , Petr A. Golovach , Daniel Lokshtanov , Fahad Panolan , Saket Saurabh

In recent years, there has been a growing interest in using machine learning techniques for the estimation of treatment effects. Most of the best-performing methods rely on representation learning strategies that encourage shared behavior…

机器学习 · 计算机科学 2024-04-19 Roger Pros , Jordi Vitrià