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While it is commonly observed in practice that pruning networks to a certain level of sparsity can improve the quality of the features, a theoretical explanation of this phenomenon remains elusive. In this work, we investigate this by…

机器学习 · 统计学 2024-06-14 Nuri Mert Vural , Murat A. Erdogdu

In stochastic optimisation, the large number of scenarios required to faithfully represent the underlying uncertainty is often a barrier to finding efficient numerical solutions. This motivates the scenario reduction problem: by find a…

最优化与控制 · 数学 2021-06-23 Julien Keutchayan , Janosch Ortmann , Walter Rei

In this paper, we present an approach to search result clustering, using partitioning of underlying link graph. We define the notion of "query-induced subgraph" and formulate the problem of search result clustering as a problem of efficient…

信息检索 · 计算机科学 2008-11-27 Aleksandar Bradic

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

数据库 · 计算机科学 2020-03-11 Mujahid Sultan

The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally considered an unsupervised learning task. In recent years, the use of background knowledge to improve the cluster quality and promote…

最优化与控制 · 数学 2022-07-26 Veronica Piccialli , Anna Russo Russo , Antonio M. Sudoso

This paper studies the problem of graph-level clustering, which is a novel yet challenging task. This problem is critical in a variety of real-world applications such as protein clustering and genome analysis in bioinformatics. Recent years…

机器学习 · 计算机科学 2023-03-09 Wei Ju , Yiyang Gu , Binqi Chen , Gongbo Sun , Yifang Qin , Xingyuming Liu , Xiao Luo , Ming Zhang

We investigate task clustering for deep-learning based multi-task and few-shot learning in a many-task setting. We propose a new method to measure task similarities with cross-task transfer performance matrix for the deep learning scenario.…

机器学习 · 计算机科学 2018-05-21 Mo Yu , Xiaoxiao Guo , Jinfeng Yi , Shiyu Chang , Saloni Potdar , Gerald Tesauro , Haoyu Wang , Bowen Zhou

Graph contrastive learning (GCL) has been widely applied to text classification tasks due to its ability to generate self-supervised signals from unlabeled data, thus facilitating model training. However, existing GCL-based text…

机器学习 · 计算机科学 2024-10-25 Wei Ai , Jianbin Li , Ze Wang , Jiayi Du , Tao Meng , Yuntao Shou , Keqin Li

The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weight sum of the cut edges. Here, we introduce a linear-time algorithm to compute near-minimum cuts. Our…

数据结构与算法 · 计算机科学 2019-06-05 Monika Henzinger , Alexander Noe , Christian Schulz , Darren Strash

Packet classification is a fundamental problem in computer networking. This problem exposes a hard tradeoff between the computation and state complexity, which makes it particularly challenging. To navigate this tradeoff, existing solutions…

网络与互联网体系结构 · 计算机科学 2019-02-28 Eric Liang , Hang Zhu , Xin Jin , Ion Stoica

In this work we propose a simple and easily parallelizable algorithm for multiway graph partitioning. The algorithm alternates between three basic components: diffusing seed vertices over the graph, thresholding the diffused seeds, and then…

机器学习 · 统计学 2014-06-17 Xavier Bresson , Huiyi Hu , Thomas Laurent , Arthur Szlam , James von Brecht

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…

离散数学 · 计算机科学 2026-02-02 Ismail Alkhouri , Mian Wu , Cunxi Yu , Jia Liu , Rongrong Wang , Alvaro Velasquez

This paper presents a parallel adaptive clustering (PAC) algorithm to automatically classify data while simultaneously choosing a suitable number of classes. Clustering is an important tool for data analysis and understanding in a broad set…

机器学习 · 计算机科学 2021-04-07 Benjamin McLaughlin , Sung Ha Kang

This paper studies the Graph-Connected Clique-Partitioning Problem (GCCP), a clustering optimization model in which units are characterized by both individual and relational data. This problem, introduced by Benati et al. (2017) under the…

最优化与控制 · 数学 2021-04-13 Stefano Benati , Diego Ponce , Justo Puerto , Antonio M. Rodríguez-Chía

Spectral clustering has been one of the widely used methods for community detection in networks. However, large-scale networks bring computational challenges to the eigenvalue decomposition therein. In this paper, we study the spectral…

社会与信息网络 · 计算机科学 2022-01-07 Hai Zhang , Xiao Guo , Xiangyu Chang

Subgraph similarity search, one of the core problems in graph search, concerns whether a target graph approximately contains a query graph. The problem is recently touched by neural methods. However, current neural methods do not consider…

机器学习 · 计算机科学 2022-10-20 Linfeng Liu , Xu Han , Dawei Zhou , Li-Ping Liu

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

数据结构与算法 · 计算机科学 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

Correlation clustering is a central problem in unsupervised learning, with applications spanning community detection, duplicate detection, automated labelling and many more. In the correlation clustering problem one receives as input a set…

This paper introduces a novel mixture model-based approach for simultaneous clustering and optimal segmentation of functional data which are curves presenting regime changes. The proposed model consists in a finite mixture of piecewise…

统计方法学 · 统计学 2014-05-02 Faicel Chamroukhi

Image clustering is one of the most important computer vision applications, which has been extensively studied in literature. However, current clustering methods mostly suffer from lack of efficiency and scalability when dealing with…

机器学习 · 计算机科学 2017-08-10 Kamran Ghasedi Dizaji , Amirhossein Herandi , Cheng Deng , Weidong Cai , Heng Huang