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Constrained clustering leverages limited domain knowledge to improve clustering performance and interpretability, but incorporating pairwise must-link and cannot-link constraints is an NP-hard challenge, making global optimization…

机器学习 · 计算机科学 2025-10-28 Pedro Chumpitaz-Flores , My Duong , Cristobal Heredia , Kaixun Hua

The performance of EM in learning mixtures of product distributions often depends on the initialization. This can be problematic in crowdsourcing and other applications, e.g. when a small number of 'experts' are diluted by a large number of…

机器学习 · 统计学 2016-05-31 Vincent Zhao , Steven W. Zucker

In this paper, we propose a unified framework for sampling, clustering and embedding data points in semi-metric spaces. For a set of data points $\Omega=\{x_1, x_2, \ldots, x_n\}$ in a semi-metric space, we consider a complete graph with…

社会与信息网络 · 计算机科学 2017-08-02 Chia-Tai Chang , Cheng-Shang Chang

The stable principal component pursuit (SPCP) is a non-smooth convex optimization problem, the solution of which enables one to reliably recover the low rank and sparse components of a data matrix which is corrupted by a dense noise matrix,…

最优化与控制 · 数学 2015-02-10 Necdet Serhat Aybat , Garud Iyengar

Clustering is an unsupervised learning method that constitutes a cornerstone of an intelligent data analysis process. It is used for the exploration of inter-relationships among a collection of patterns, by organizing them into homogeneous…

机器学习 · 计算机科学 2010-04-13 G. Nathiya , S. C. Punitha , M. Punithavalli

One of the methodologies that carry out the division of the electrical grid into zones is based on the aggregation of nodes characterized by similar Power Transfer Distribution Factors (PTDFs). Here, we point out that satisfactory…

计算工程、金融与科学 · 计算机科学 2014-08-07 Michal Klos , Karol Wawrzyniak , Marcin Jakubek , Grzegorz Orynczak

The fundamental inverse problem in distance geometry is the one of finding positions from inter-point distances. The Discretizable Molecular Distance Geometry Problem (DMDGP) is a subclass of the Distance Geometry Problem (DGP) whose search…

组合数学 · 数学 2021-11-15 Douglas S. Goncalves , Carlile Lavor , Leo Liberti , Michael Souza

This paper focuses on density-based clustering, particularly the Density Peak (DP) algorithm and the one based on density-connectivity DBSCAN; and proposes a new method which takes advantage of the individual strengths of these two methods…

机器学习 · 计算机科学 2024-01-30 Ye Zhu , Kai Ming Ting , Yuan Jin , Maia Angelova

In this paper we present a family of algorithms that can simultaneously align and cluster sets of multidimensional curves measured on a discrete time grid. Our approach is based on a generative mixture model that allows non-linear time…

应用统计 · 统计学 2012-12-12 Darya Chudova , Scott Gaffney , Padhraic Smyth

We propose a new method based on sparse optimal discriminant clustering (SODC), incorporating a penalty term into the scoring matrix based on convex clustering. With the addition of this penalty term, it is expected to improve the accuracy…

统计方法学 · 统计学 2025-10-15 Mayu Hiraishi , Kensuke Tanioka , Hiroshi Yadohisa

This paper presents SeqClusFD, a top-down sequential clustering method for functional data. The clustering algorithm extracts the splitting information either from trajectories, first or second derivatives. Initial partition is based on gap…

统计方法学 · 统计学 2023-12-29 Ana Justel , Marcela Svarc

We present a novel framework for concomitant dimension reduction and clustering. This framework is based on a novel class of Bayesian clustering factor models. These models assume a factor model structure where the vectors of common factors…

统计方法学 · 统计学 2025-05-09 Hwasoo Shin , Marco A. R. Ferreira , Allison N. Tegge

The Information Bottleneck (IB) provides an information theoretic principle for representation learning, by retaining all information relevant for predicting label while minimizing the redundancy. Though IB principle has been applied to a…

计算机视觉与模式识别 · 计算机科学 2022-12-27 Xudong Tian , Zhizhong Zhang , Shaohui Lin , Yanyun Qu , Yuan Xie , Lizhuang Ma

In many applications, it is desirable to extract only the relevant aspects of data. A principled way to do this is the information bottleneck (IB) method, where one seeks a code that maximizes information about a 'relevance' variable, Y,…

机器学习 · 统计学 2016-10-27 Matthew Chalk , Olivier Marre , Gasper Tkacik

The information bottleneck (IB) approach is popular to improve the generalization, robustness and explainability of deep neural networks. Essentially, it aims to find a minimum sufficient representation $\mathbf{t}$ by striking a trade-off…

机器学习 · 计算机科学 2024-04-30 Shujian Yu , Xi Yu , Sigurd Løkse , Robert Jenssen , Jose C. Principe

A new segmentation fusion method is proposed that ensembles the output of several segmentation algorithms applied on a remotely sensed image. The candidate segmentation sets are processed to achieve a consensus segmentation using a…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Mete Ozay , Fatos T. Yarman Vural , Sanjeev R. Kulkarni , H. Vincent Poor

The weighted ensemble (WE) method stands out as a widely used segment-based sampling technique renowned for its rigorous treatment of kinetics. The WE framework typically involves initially mapping the configuration space onto a…

计算物理 · 物理学 2024-11-19 Dedi Wang , Pratyush Tiwary

We study the problem of distributed information bottleneck, in which multiple encoders separately compress their observations in a manner such that, collectively, the compressed signals preserve as much information as possible about another…

信息论 · 计算机科学 2017-10-04 Inaki Estella Aguerri , Abdellatif Zaidi

We study the problem of non-parametric clustering of data sequences, where each data sequence comprises independent and identically distributed (i.i.d.) samples generated from an unknown distribution. The true clusters are the clusters…

信号处理 · 电气工程与系统科学 2026-01-21 G Dhinesh Chandran , Kota Srinivas Reddy , Srikrishna Bhashyam

Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently, Chaudhuri et al. (2012) and Amini et al.(2012) proposed inspired variations on the algorithm that artificially inflate the node degrees for…

机器学习 · 统计学 2013-09-18 Tai Qin , Karl Rohe