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We derive a new Bayesian Information Criterion (BIC) by formulating the problem of estimating the number of clusters in an observed data set as maximization of the posterior probability of the candidate models. Given that some mild…

统计理论 · 数学 2018-08-28 Freweyni K. Teklehaymanot , Michael Muma , Abdelhak M. Zoubir

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

机器学习 · 统计学 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev

Bayesian dynamic borrowing methods incorporate historical control data into current clinical trial analyses while allowing the degree of borrowing to depend on the compatibility between historical and current data. Although many methods…

统计方法学 · 统计学 2026-05-27 Tomohiro Ohigashi , Wataru Murasaki , Masahiko Gosho

Bayesian Optimization (BO) is a well-established method for addressing black-box optimization problems. In many real-world scenarios, optimization often involves multiple functions, emphasizing the importance of leveraging data and learned…

机器学习 · 计算机科学 2025-03-11 Khoa Nguyen , Viet Huynh , Binh Tran , Tri Pham , Tin Huynh , Thin Nguyen

Recently, a number of competitive methods have tackled unsupervised representation learning by maximising the mutual information between the representations produced from augmentations. The resulting representations are then invariant to…

计算机视觉与模式识别 · 计算机科学 2020-03-20 Luke Nicholas Darlow , Amos Storkey

We revisit the classical problem of Bayesian ensembles and address the challenge of learning optimal combinations of Bayesian models in an online, continual learning setting. To this end, we reinterpret existing approaches such as Bayesian…

机器学习 · 计算机科学 2026-01-26 Daniel Waxman , Fernando Llorente , Petar M. Djurić

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

机器学习 · 计算机科学 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

We propose a new clustering algorithm that is robust to the presence of outliers in the dataset. We perform Lloyd-type iterations with robust estimates of the centroids. More precisely, we build on the idea of median-of-means statistics to…

统计方法学 · 统计学 2020-08-20 Camille Brunet-Saumard , Edouard Genetay , Adrien Saumard

The explosion in high-resolution data capture technologies in health has increased interest in making inferences about individual-level parameters. While technology may provide substantial data on a single individual, how best to use…

统计方法学 · 统计学 2021-12-16 Ziyu Ji , Julian Wolfson

With the rapid development of online social media, online shopping sites and cyber-physical systems, heterogeneous information networks have become increasingly popular and content-rich over time. In many cases, such networks contain…

数据库 · 计算机科学 2012-02-01 Yizhou Sun , Charu C. Aggarwal , Jiawei Han

Information borrowing from historical data is gaining attention in clinical trials of rare and pediatric diseases, where statistical power may be insufficient for confirmation of efficacy if the sample size is small. Although Bayesian…

统计方法学 · 统计学 2023-05-25 Masahiro Kojima

Most of the research on clustering ensemble focuses on designing practical consistency learning algorithms.To solve the problems that the quality of base clusters varies and the low-quality base clusters have an impact on the performance of…

机器学习 · 计算机科学 2024-11-04 Jianwen Gan , Yan Chen , Peng Zhou , Liang Du

A wide range of Bayesian models have been proposed for data that is divided hierarchically into groups. These models aim to cluster the data at different levels of grouping, by assigning a mixture component to each datapoint, and a mixture…

机器学习 · 计算机科学 2015-04-21 Adway Mitra

Clustering of mixed-type datasets can be a particularly challenging task as it requires taking into account the associations between variables with different level of measurement, i.e., nominal, ordinal and/or interval. In some cases,…

统计方法学 · 统计学 2022-04-22 Odysseas Moschidis , Angelos Markos , Theodore Chadjipadelis

Basket trials have emerged as a new class of efficient approaches in oncology to evaluate a new treatment in several patient subgroups simultaneously. In this paper, we extend the key ideas to disease areas outside of oncology, developing a…

统计方法学 · 统计学 2020-06-01 Haiyan Zheng , James M. S. Wason

The Boltzmann-Shannon Index (BSI) for clustered continuous data is introduced as a normalized measure that captures the relationship between geometry-based and frequency-based probability distributions defined over the clusters. In essence,…

信息论 · 计算机科学 2025-12-18 Emanuele Bossi , C. Tyler Diggans , Abd AlRahman R. AlMomani

In this paper, we adopt the maximizing mutual information (MI) approach to tackle the problem of unsupervised learning of binary hash codes for efficient cross-modal retrieval. We proposed a novel method, dubbed Cross-Modal Info-Max Hashing…

计算机视觉与模式识别 · 计算机科学 2021-12-14 Tuan Hoang , Thanh-Toan Do , Tam V. Nguyen , Ngai-Man Cheung

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

机器学习 · 统计学 2015-12-01 Eric F. Lock , David B. Dunson

Recent advancements in Mixed Integer Optimization (MIO) algorithms, paired with hardware enhancements, have led to significant speedups in resolving MIO problems. These strategies have been utilized for optimal subset selection,…

统计方法学 · 统计学 2024-03-27 Madhav Sankaranarayanan , Intekhab Hossain , Tom Chen

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka