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Clustering is a popular form of unsupervised learning for geometric data. Unfortunately, many clustering algorithms lead to cluster assignments that are hard to explain, partially because they depend on all the features of the data in a…

机器学习 · 计算机科学 2020-09-23 Sanjoy Dasgupta , Nave Frost , Michal Moshkovitz , Cyrus Rashtchian

In this paper, we consider two paradigms that are developed to account for uncertainty in optimization models: robust optimization (RO) and joint estimation-optimization (JEO). We examine recent developments on efficient and scalable…

最优化与控制 · 数学 2018-04-16 Nam Ho-Nguyen , Fatma Kilinc-Karzan

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

机器学习 · 统计学 2023-08-14 Luca Coraggio , Pietro Coretto

Leave-one-problem-out (LOPO) performance prediction requires machine learning (ML) models to extrapolate algorithms' performance from a set of training problems to a previously unseen problem. LOPO is a very challenging task even for…

机器学习 · 计算机科学 2023-06-01 Ana Nikolikj , Michal Pluháček , Carola Doerr , Peter Korošec , Tome Eftimov

Chain-of-thought (CoT) reasoning with self-consistency improves performance by aggregating multiple sampled reasoning paths. In this setting, correctness is no longer tied to a single reasoning trace but to the aggregation rule over a pool…

机器学习 · 统计学 2026-05-15 Yu Gu , Zijun Yu , Vahid Partovi Nia , Masoud Asgharian

We consider the task of estimating a Gaussian graphical model in the high-dimensional setting. The graphical lasso, which involves maximizing the Gaussian log likelihood subject to an l1 penalty, is a well-studied approach for this task. We…

机器学习 · 统计学 2013-07-23 Kean Ming Tan , Daniela Witten , Ali Shojaie

In this paper, a round-table group optimization (RTGO) algorithm is presented. RTGO is a simple metaheuristic framework using the insights of research on group creativity. In a cooperative group, the agents work in iterative sessions to…

神经与进化计算 · 计算机科学 2018-08-08 Xiao-Feng Xie

Consensus clustering (or clustering aggregation) inputs $k$ partitions of a given ground set $V$, and seeks to create a single partition that minimizes disagreement with all input partitions. State-of-the-art algorithms for consensus…

数据结构与算法 · 计算机科学 2023-07-11 Nathan Cordner , George Kollios

Network models provide a powerful and flexible framework for analyzing a wide range of structured data sources. In many situations of interest, however, multiple networks can be constructed to capture different aspects of an underlying…

社会与信息网络 · 计算机科学 2021-11-03 Madeline Navarro , Genevera I. Allen , Michael Weylandt

We present YOLO, a new approach to object detection. Prior work on object detection repurposes classifiers to perform detection. Instead, we frame object detection as a regression problem to spatially separated bounding boxes and associated…

计算机视觉与模式识别 · 计算机科学 2016-05-11 Joseph Redmon , Santosh Divvala , Ross Girshick , Ali Farhadi

There is a clear need for efficient algorithms to tune hyperparameters for statistical learning schemes, since the commonly applied search methods (such as grid search with N-fold cross-validation) are inefficient and/or approximate.…

机器学习 · 计算机科学 2020-04-07 Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

A limitation of many clustering algorithms is the requirement to tune adjustable parameters for each application or even for each dataset. Some techniques require an \emph{a priori} estimate of the number of clusters while density-based…

统计方法学 · 统计学 2016-05-20 Jeremy F. Magland , Alex H. Barnett

We consider the problem of estimating the number of clusters (k) in a dataset. We propose a non-parametric approach to the problem that utilizes similarity graphs to construct a robust statistic that effectively captures similarity…

统计方法学 · 统计学 2025-06-13 Yichuan Bai , Lynna Chu

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

We consider clustering in group decision making where the opinions are given by pairwise comparison matrices. In particular, the k-medoids model is suggested to classify the matrices since it has a linear programming problem formulation…

最优化与控制 · 数学 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató

Multi-group data are commonly seen in practice. Such data structure consists of data from multiple groups and can be challenging to analyze due to data heterogeneity. We propose a novel Joint and Individual Component Regression (JICO) model…

统计方法学 · 统计学 2022-09-27 Peiyao Wang , Haodong Wang , Quefeng Li , Dinggang Shen , Yufeng Liu

In variable or graph selection problems, finding a right-sized model or controlling the number of false positives is notoriously difficult. Recently, a meta-algorithm called Stability Selection was proposed that can provide reliable…

机器学习 · 统计学 2017-12-14 George Philipp , Seunghak Lee , Eric P. Xing

Determining the number of clusters in a dataset is a fundamental issue in data clustering. Many methods have been proposed to solve the problem of selecting the number of clusters, considering it to be a problem with regard to model…

机器学习 · 计算机科学 2022-10-04 Ryosuke Motegi , Yoichi Seki

Despite the widespread application of latent factor analysis, existing methods suffer from the following weaknesses: requiring the number of factors to be known, lack of theoretical guarantees for learning the model structure, and…

统计方法学 · 统计学 2023-06-06 Dale S. Kim , Qing Zhou

Hypergraph clustering is a basic algorithmic primitive for analyzing complex datasets and systems characterized by multiway interactions, such as group email conversations, groups of co-purchased retail products, and co-authorship data.…

数据结构与算法 · 计算机科学 2023-01-31 Nate Veldt