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We propose a novel information bottleneck (IB) method named Drop-Bottleneck, which discretely drops features that are irrelevant to the target variable. Drop-Bottleneck not only enjoys a simple and tractable compression objective but also…

机器学习 · 计算机科学 2021-03-24 Jaekyeom Kim , Minjung Kim , Dongyeon Woo , Gunhee Kim

In this paper, we introduce the application of Information Bottleneck as a method to investigate properties of questionnaires developed for the study of motivational profiles based on self-determination theory. Founded on information…

应用统计 · 统计学 2018-06-06 Daniela M L Barbato , Jean-Jacques De Groote

Mixture model-based clustering, usually applied to multidimensional data, has become a popular approach in many data analysis problems, both for its good statistical properties and for the simplicity of implementation of the…

统计方法学 · 统计学 2013-12-30 Allou Samé , Faicel Chamroukhi , Gérard Govaert , Patrice Aknin

The Information bottleneck (IB) method enables optimizing over the trade-off between compression of data and prediction accuracy of learned representations, and has successfully and robustly been applied to both supervised and unsupervised…

信息论 · 计算机科学 2021-05-25 Teng-Hui Huang , Aly El Gamal

In this paper, we develop an ensemble-based time-stepping algorithm to efficiently find numerical solutions to a group of linear, second-order parabolic partial differential equations (PDEs). Particularly, the PDE models in the group could…

数值分析 · 数学 2017-10-18 Yan Luo , Zhu Wang

A new maximum approximate likelihood (ML) estimation algorithm for the mixture of Kent distribution is proposed. The new algorithm is constructed via the BSLM (block successive lower-bound maximization) framework and incorporates manifold…

统计计算 · 统计学 2017-09-15 Hien D. Nguyen

Subspace clustering refers to the problem of clustering high-dimensional data into a union of low-dimensional subspaces. Current subspace clustering approaches are usually based on a two-stage framework. In the first stage, an affinity…

机器学习 · 计算机科学 2019-10-22 Shuai Yang , Wenqi Zhu , Yuesheng Zhu

It is now widely accepted that knowledge can be acquired from networks by clustering their vertices according to connection profiles. Many methods have been proposed and in this paper we concentrate on the Stochastic Block Model (SBM). The…

应用统计 · 统计学 2010-07-27 Pierre Latouche , Etienne Birmele , Christophe Ambroise

The paper presents the algorithm for clustering a dataset by grouping the optimal, from the point of view of the BIC criterion, number of Gaussian clusters into the optimal, from the point of view of their statistical separability,…

机器学习 · 计算机科学 2023-10-31 Oleg I. Berngardt

Clustering is an essential technique for discovering patterns in data. The steady increase in amount and complexity of data over the years led to improvements and development of new clustering algorithms. However, algorithms that can…

机器学习 · 统计学 2021-03-03 Shu Wang , Jonathan G. Yabes , Chung-Chou H. Chang

Clustering is one of the most widely used procedures in the analysis of microarray data, for example with the goal of discovering cancer subtypes based on observed heterogeneity of genetic marks between different tissues. It is well-known…

统计方法学 · 统计学 2009-04-21 Heng Lian

In this paper, we investigate the probabilistic set covering problem (PSCP) in which the right-hand side is a binary random vector and the covering constraint is required to be satisfied with a prespecified probability. We consider the case…

最优化与控制 · 数学 2026-03-24 Wei Lv , Wei-Kun Chen , Yi-Long Chen , Yu-Hong Dai

In many modern applications, there is interest in analyzing enormous data sets that cannot be easily moved across computers or loaded into memory on a single computer. In such settings, it is very common to be interested in clustering.…

统计计算 · 统计学 2020-05-15 Hanyu Song , Yingjian Wang , David B. Dunson

We study graph clustering in the Stochastic Block Model (SBM) in the presence of both large clusters and small, unrecoverable clusters. Previous convex relaxation approaches achieving exact recovery do not allow any small clusters of size…

机器学习 · 计算机科学 2025-02-25 Matthew Zurek , Yudong Chen

We propose a novel architecture and method of explainable classification with Concept Bottleneck Models (CBMs). While SOTA approaches to Image Classification task work as a black box, there is a growing demand for models that would provide…

计算机视觉与模式识别 · 计算机科学 2024-04-05 Andrei Semenov , Vladimir Ivanov , Aleksandr Beznosikov , Alexander Gasnikov

Feature subset selection, as a special case of the general subset selection problem, has been the topic of a considerable number of studies due to the growing importance of data-mining applications. In the feature subset selection problem…

机器学习 · 计算机科学 2014-11-13 Tofigh Naghibi , Sarah Hoffmann , Beat Pfister

Clustering is an important tool for data exploration where the goal is to subdivide a data set into disjoint clusters that fit well into the underlying data structure. When dealing with sensitive data, privacy-preserving algorithms aim to…

密码学与安全 · 计算机科学 2024-08-21 Johannes Liebenow , Yara Schütt , Tanya Braun , Marcel Gehrke , Florian Thaeter , Esfandiar Mohammadi

Clustering high-dimensional data is especially challenging when cluster distributions are heavy tailed and only approximately elliptical. Existing high-dimensional methods are largely built for Gaussian or other light-tailed models, whereas…

统计方法学 · 统计学 2026-05-12 Long Feng , Dan Zhuang

In many real life problems, objects are described by large number of binary features. For instance, documents are characterized by presence or absence of certain keywords; cancer patients are characterized by presence or absence of certain…

应用统计 · 统计学 2016-03-09 Tapesh Santra

We propose the -- to the best of our knowledge -- first fully functional implementation of the ``Separation by a Convex Body'' (SCB) approach first outlined in Grzybowski et al. [1] for classification, separating two data sets using an…

最优化与控制 · 数学 2025-09-01 Antonio Frangioni , Enrico Gorgone , Benedetto Manca