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We consider the problem of approximately reconstructing a partially-observed, approximately low-rank matrix. This problem has received much attention lately, mostly using the trace-norm as a surrogate to the rank. Here we study low-rank…

机器学习 · 计算机科学 2011-05-27 Rina Foygel , Nathan Srebro

We consider unconstrained multi-criteria optimization problems with finite sum objective functions. The proposed algorithm belongs to a non-monotone trust region framework where additional sampling approach is used to govern the sample size…

最优化与控制 · 数学 2026-03-13 Nataša Krklec Jerinkić , Luka Rutešić , Ilaria Trombini

Given a social network $G$ and an integer $k$, the influence maximization (IM) problem asks for a seed set $S$ of $k$ nodes from $G$ to maximize the expected number of nodes influenced via a propagation model. The majority of the existing…

社会与信息网络 · 计算机科学 2020-04-15 Keke Huang , Jing Tang , Kai Han , Xiaokui Xiao , Wei Chen , Aixin Sun , Xueyan Tang , Andrew Lim

Satisfiability Modulo Counting (SMC) encompasses problems that require both symbolic decision-making and statistical reasoning. Its general formulation captures many real-world problems at the intersection of symbolic and statistical…

人工智能 · 计算机科学 2024-01-02 Jinzhao Li , Nan Jiang , Yexiang Xue

Matrix completion is fundamental for predicting missing data with a wide range of applications in personalized healthcare, e-commerce, recommendation systems, and social network analysis. Traditional matrix completion approaches typically…

机器学习 · 计算机科学 2025-03-19 Patrick Hytla , Tran T. A. Nghia , Duy Nhat Phan , Andrew Rice

In this work we study approximation algorithms for the \textit{Bounded Color Matching} problem (a.k.a. Restricted Matching problem) which is defined as follows: given a graph in which each edge $e$ has a color $c_e$ and a profit $p_e \in…

数据结构与算法 · 计算机科学 2013-11-22 Monaldo Mastrolilli , Georgios Stamoulis

Motivated by social network analysis and network-based recommendation systems, we study a semi-supervised community detection problem in which the objective is to estimate the community label of a new node using the network topology and…

社会与信息网络 · 计算机科学 2023-06-05 Yicong Jiang , Tracy Ke

Traditional social group analysis mostly uses interaction models, event models, or other methods to identify and distinguish groups. This type of method can divide social participants into different groups based on their geographic…

社会与信息网络 · 计算机科学 2021-03-18 Guliu Liu , Lei Li , Guanfeng Liu , Xindong Wu

We propose a general method for optimally approximating an arbitrary matrix $\mathbf{M}$ by a structured matrix $\mathbf{T}$ (circulant, Toeplitz/Hankel, etc.) and examine its use for estimating the spectra of genomic linkage disequilibrium…

应用统计 · 统计学 2024-09-10 Chris Salahub , Jeffrey Uhlmann

In recent years, the prediction of multidimensional time series data has become increasingly important due to its wide-ranging applications. Tensor-based prediction methods have gained attention for their ability to preserve the inherent…

机器学习 · 计算机科学 2025-01-28 Hao Shu , Jicheng Li , Yu Jin , Hailin Wang

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

计算机视觉与模式识别 · 计算机科学 2017-01-13 Mengtian Li , Daniel Huber

We study a new connection between a technical measure called $\mu$-conductance that arises in the study of Markov chains for sampling convex bodies and the network community profile that characterizes size-resolved properties of clusters…

社会与信息网络 · 计算机科学 2023-03-28 Yufan Huang , C. Seshadhri , David F. Gleich

In distributed networks, calculating the maximum element is a fundamental task in data analysis, known as the distributed maximum consensus problem. However, the sensitive nature of the data involved makes privacy protection essential.…

分布式、并行与集群计算 · 计算机科学 2024-09-17 Wenrui Yu , Richard Heusdens , Jun Pang , Qiongxiu Li

The community detection problem requires to cluster the nodes of a network into a small number of well-connected "communities". There has been substantial recent progress in characterizing the fundamental statistical limits of community…

In social network analysis, the size of the k-core, i.e., the maximal induced subgraph of the network with minimum degree at least k, is frequently adopted as a typical metric to evaluate the cohesiveness of a community. We address the…

最优化与控制 · 数学 2023-05-03 Martina Cerulli , Domenico Serra , Carmine Sorgente , Claudia Archetti , Ivana Ljubic

Massive network datasets are becoming increasingly common in scientific applications. Existing community detection methods encounter significant computational challenges for such massive networks due to two reasons. First, the full network…

统计方法学 · 统计学 2025-03-24 Subhankar Bhadra , Marianna Pensky , Srijan Sengupta

Procrustes problems are matrix approximation problems searching for a~transformation of the given dataset to fit another dataset. They find applications in numerous areas, such as factor and multivariate analysis, computer vision,…

最优化与控制 · 数学 2023-05-01 Terézia Fulová , Mária Trnovská

Submodular optimization plays a key role in many real-world problems. In many real-world scenarios, it is also necessary to handle uncertainty, and potentially disruptive events that violate constraints in stochastic settings need to be…

机器学习 · 计算机科学 2019-11-27 Benjamin Doerr , Carola Doerr , Aneta Neumann , Frank Neumann , Andrew M. Sutton

We propose a novel trust metric for social networks which is suitable for application in recommender systems. It is personalised and dynamic and allows to compute the indirect trust between two agents which are not neighbours based on the…

计算机与社会 · 计算机科学 2009-05-09 Frank E. Walter , Stefano Battiston , Frank Schweitzer

Social media has transformed global communication, yet its network structure can systematically distort perceptions through effects like the majority illusion and echo chambers. We introduce the perception gap index, a graph-based measure…

社会与信息网络 · 计算机科学 2025-11-18 Hemant Kumar Gehlot , Mohammad Shirzadi , Junhao Gan , Ahad N. Zehmakan