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Clustering provides a common means of identifying structure in complex data, and there is renewed interest in clustering as a tool for the analysis of large data sets in many fields. A natural question is how many clusters are appropriate…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Susanne Still , William Bialek

Clustering algorithms frequently require the number of clusters to be chosen in advance, but it is usually not clear how to do this. To tackle this challenge when clustering within sequential data, we present a method for estimating the…

Machine Learning · Statistics 2024-07-29 Thomas van Vuren , Thomas Cronk , Jaron Sanders

Recent advances in Bayesian models for random partitions have led to the formulation and exploration of Exchangeable Sequences of Clusters (ESC) models. Under ESC models, it is the cluster sizes that are exchangeable, rather than the…

Statistics Theory · Mathematics 2022-09-08 Keith Levin , Brenda Betancourt

We propose a computationally simple framework for clustering functional data based on Gaussian-process-generated random projections. In this approach, each curve is first projected onto a large collection of independent Gaussian process…

Methodology · Statistics 2026-05-22 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

We present a new corpus comprising annotations of medical entities in case reports, originating from PubMed Central's open access library. In the case reports, we annotate cases, conditions, findings, factors and negation modifiers.…

Computation and Language · Computer Science 2020-03-31 Sarah Schulz , Jurica Ševa , Samuel Rodriguez , Malte Ostendorff , Georg Rehm

In online clustering problems, there is often a large amount of uncertainty over possible cluster assignments that cannot be resolved until more data are observed. This difficulty is compounded when clusters follow complex distributions, as…

Machine Learning · Statistics 2026-04-17 Connie Trojan , Pavel Myshkov , Paul Fearnhead , James Hensman , Tom Minka , Christopher Nemeth

In model-based clustering using finite mixture models, it is a significant challenge to determine the number of clusters (cluster size). It used to be equal to the number of mixture components (mixture size); however, this may not be valid…

Machine Learning · Computer Science 2020-07-16 Shunki Kyoya , Kenji Yamanishi

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating the basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less…

Populations and Evolution · Quantitative Biology 2022-11-23 Alexander F. Siegenfeld , Pratyush K. Kollepara , Yaneer Bar-Yam

Measuring dataset similarity is fundamental in machine learning, particularly for transfer learning and domain adaptation. In the context of supervised learning, most existing approaches quantify similarity of two data sets based on their…

Machine Learning · Statistics 2026-04-22 Shudong Sun , Hao Helen Zhang , Joseph C Watkins

When scholars suspect units are dependent on each other within clusters but independent of each other across clusters, they employ cluster-robust standard errors (CRSEs). Nevertheless, what to cluster over is sometimes unknown. For…

Methodology · Statistics 2025-11-12 Kentaro Fukumoto

In stochastic optimisation, the large number of scenarios required to faithfully represent the underlying uncertainty is often a barrier to finding efficient numerical solutions. This motivates the scenario reduction problem: by find a…

Optimization and Control · Mathematics 2021-06-23 Julien Keutchayan , Janosch Ortmann , Walter Rei

Electronic health records (EHRs) contain important clinical information about patients. Efficient and effective use of this information could supplement or even replace manual chart review as a means of studying and improving the quality…

Computation and Language · Computer Science 2017-06-21 Efsun Sarioglu Kayi , Kabir Yadav , James M. Chamberlain , Hyeong-Ah Choi

In many government applications we often find that information about entities, such as persons, are available in disparate data sources such as passports, driving licences, bank accounts, and income tax records. Similar scenarios are…

Databases · Computer Science 2014-02-19 Pankaj Malhotra , Puneet Agarwal , Gautam Shroff

Large language models (LLMs) are increasingly used as agents to solve complex tasks such as question answering (QA), scientific debate, and software development. A standard evaluation procedure aggregates multiple responses from LLM agents…

Machine Learning · Statistics 2026-02-19 Chihiro Watanabe , Jingyu Sun

Entity Resolution (ER) is typically implemented as a batch task that processes all available data before identifying duplicate records. However, applications with time or computational constraints, e.g., those running in the cloud, require…

Databases · Computer Science 2025-03-12 Jakub Maciejewski , Konstantinos Nikoletos , George Papadakis , Yannis Velegrakis

This paper introduces a new clustering technique, called {\em dimensional clustering}, which clusters each data point by its latent {\em pointwise dimension}, which is a measure of the dimensionality of the data set local to that point.…

Machine Learning · Statistics 2018-05-29 Shohei Hidaka , Neeraj Kashyap

We present a new theoretical and numerical assessment methodology for a one-dimensional process chain with general applicability to management problems such as the optimization of decision chains or production chains. The process is thereby…

Economics · Quantitative Finance 2017-12-04 Johannes Freiesleben , Nicolas Guérin

We present Connected-Component~(CC)-Metrics, a novel semantic segmentation evaluation protocol, targeted to align existing semantic segmentation metrics to a multi-instance detection scenario in which each connected component matters. We…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Alexander Jaus , Constantin Seibold , Simon Reiß , Zdravko Marinov , Keyi Li , Zeling Ye , Stefan Krieg , Jens Kleesiek , Rainer Stiefelhagen

To gain deeper insights into a complex sensor system through the lens of causality, we present common and individual causal mechanism estimation (CICME), a novel three-step approach to inferring causal mechanisms from heterogeneous data…

Machine Learning · Computer Science 2025-08-21 Jingyi Yu , Tim Pychynski , Marco F. Huber

Logs are crucial for analyzing large-scale software systems, offering insights into system health, performance, security threats, potential bugs, etc. However, their chaotic nature$\unicode{x2013}$characterized by sheer volume, lack of…

Software Engineering · Computer Science 2025-02-20 Dmytro Borysenkov , Adriano Vogel , Sören Henning , Esteban Perez-Wohlfeil