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Clustering is a fundamental primitive in unsupervised learning which gives rise to a rich class of computationally-challenging inference tasks. In this work, we focus on the canonical task of clustering d-dimensional Gaussian mixtures with…

机器学习 · 计算机科学 2022-01-10 Ilias Zadik , Min Jae Song , Alexander S. Wein , Joan Bruna

This paper presents a novel clustering algorithm from the SPINEX (Similarity-based Predictions with Explainable Neighbors Exploration) algorithmic family. The newly proposed clustering variant leverages the concept of similarity and…

机器学习 · 计算机科学 2024-07-11 MZ Naser , Ahmed Naser

This paper presents a generic technique for improving hybrid algorithms through the discovery of and tuning of meta-heuristics. The idea is to represent a family of push/pull heuristics that are based upon inserting and removing tasks in a…

编程语言 · 计算机科学 2007-05-23 Yves Caseau , Glenn Silverstein , Francois Laburthe

Clustering may be the most fundamental problem in unsupervised learning which is still active in machine learning research because its importance in many applications. Popular methods like K-means, may suffer from instability as they are…

最优化与控制 · 数学 2018-02-21 Yancheng Yuan , Defeng Sun , Kim-Chuan Toh

Dimension reduction is widely regarded as an effective way for decreasing the computation, storage and communication loads of data-driven intelligent systems, leading to a growing demand for statistical methods that allow analysis (e.g.,…

计算机视觉与模式识别 · 计算机科学 2019-08-23 Guangcan Liu , Zhao Zhang , Qingshan Liu , Kongkai Xiong

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

机器学习 · 统计学 2021-06-09 Hankui Peng , Nicos G. Pavlidis

Designing a fast and efficient optimization method with local optima avoidance capability on a variety of optimization problems is still an open problem for many researchers. In this work, the concept of a new global optimization method…

神经与进化计算 · 计算机科学 2012-08-13 Fereydoun Farrahi Moghaddam , Reza Farrahi Moghaddam , Mohamed Cheriet

Modern high-dimensional methods often adopt the "bet on sparsity" principle, while in supervised multivariate learning statisticians may face "dense" problems with a large number of nonzero coefficients. This paper proposes a novel…

机器学习 · 统计学 2022-02-10 Yiyuan She , Jiahui Shen , Chao Zhang

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

数据结构与算法 · 计算机科学 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin

When solving real-world problems, practitioners often hesitate to implement solutions obtained from mathematical models, especially for important decisions. This hesitation stems from practitioners' lack of trust in optimization models and…

最优化与控制 · 数学 2025-07-01 Susumu Hashimoto , Takeaki Uno

Nature-inspired metaheuristic algorithms are important components of artificial intelligence, and are increasingly used across disciplines to tackle various types of challenging optimization problems. This paper demonstrates the usefulness…

神经与进化计算 · 计算机科学 2024-08-20 Elvis Han Cui , Zizhao Zhang , Culsome Junwen Chen , Weng Kee Wong

Current bundle adjustment solvers such as the Levenberg-Marquardt (LM) algorithm are limited by the bottleneck in solving the Reduced Camera System (RCS) whose dimension is proportional to the camera number. When the problem is scaled up,…

计算机视觉与模式识别 · 计算机科学 2023-02-28 Lei Zhou , Zixin Luo , Mingmin Zhen , Tianwei Shen , Shiwei Li , Zhuofei Huang , Tian Fang , Long Quan

We consider clustering problems where the goal is to determine an optimal partition of a given point set in Euclidean space in terms of a collection of affine subspaces. While there is vast literature on heuristics for this kind of problem,…

最优化与控制 · 数学 2016-07-26 Francesco Silvestri , Gerhard Reinelt , Christoph Schnörr

This study investigates the potential of hybrid metaheuristic algorithms to enhance the training of Probabilistic Neural Networks (PNNs) by leveraging the complementary strengths of multiple optimisation strategies. Traditional learning…

神经与进化计算 · 计算机科学 2025-04-16 Piotr A. Kowalski , Szymon Kucharczyk , Jacek Mańdziuk

Clustering analysis by nonnegative low-rank approximations has achieved remarkable progress in the past decade. However, most approximation approaches in this direction are still restricted to matrix factorization. We propose a new low-rank…

机器学习 · 计算机科学 2012-06-22 Zhirong Yang , Erkki Oja

Subspace clustering refers to the problem of segmenting a set of data points approximately drawn from a union of multiple linear subspaces. Aiming at the subspace clustering problem, various subspace clustering algorithms have been proposed…

计算机视觉与模式识别 · 计算机科学 2016-10-17 Yu Song , Yiquan Wu

This paper presents a new multitask learning framework that learns a shared representation among the tasks, incorporating both task and feature clusters. The jointly-induced clusters yield a shared latent subspace where task relationships…

机器学习 · 统计学 2017-03-06 Keerthiram Murugesan , Jaime Carbonell , Yiming Yang

A new metaheuristic optimisation algorithm, called Cuckoo Search (CS), was developed recently by Yang and Deb (2009). This paper presents a more extensive comparison study using some standard test functions and newly designed stochastic…

最优化与控制 · 数学 2010-12-24 Xin-She Yang , Suash Deb

This paper investigates the computational and statistical limits in clustering matrix-valued observations. We propose a low-rank mixture model (LrMM), adapted from the classical Gaussian mixture model (GMM) to treat matrix-valued…

统计理论 · 数学 2023-06-08 Zhongyuan Lyu , Dong Xia

Co-clustering simultaneously clusters rows and columns, revealing more fine-grained groups. However, existing co-clustering methods suffer from poor scalability and cannot handle large-scale data. This paper presents a novel and scalable…

分布式、并行与集群计算 · 计算机科学 2025-03-20 Zihan Wu , Zhaoke Huang , Hong Yan