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This paper explores Bayesian estimation for categorical data, focusing on simple yet effective models that provide a foundation for applying more advanced methods accurately and reliably in real-world applications. We begin by revisiting…

Methodology · Statistics 2025-09-03 Jan Kalina

We consider comparisons of statistical learning algorithms using multiple data sets, via leave-one-in cross-study validation: each of the algorithms is trained on one data set; the resulting model is then validated on each remaining data…

Applications · Statistics 2015-06-02 Lorenzo Trippa , Levi Waldron , Curtis Huttenhower , Giovanni Parmigiani

Bayesian optimization is a sample-efficient method for solving expensive, black-box optimization problems. Stochastic programming concerns optimization under uncertainty where, typically, average performance is the quantity of interest. In…

Machine Learning · Statistics 2025-02-19 Jack M. Buckingham , Ivo Couckuyt , Juergen Branke

Raman spectroscopy is a powerful and non-invasive method for analysis of chemicals and detection of unknown substances. However, Raman signal is so weak that background noise can distort the actual Raman signal. These baseline shifts that…

Signal Processing · Electrical Eng. & Systems 2021-04-28 M. Hamed Mozaffari , Li-Lin Tay

A new smoothing method for the improvement on the identification and quantification of spectral functions based on the previous knowledge of the signals that are expected to be quantified, is presented. These signals are used as weighted…

Atomic Physics · Physics 2017-01-31 Leonardo Bennun

We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters. Our approach considers…

Computation · Statistics 2019-03-28 Chi Feng , Youssef M. Marzouk

We present a Bayesian model for estimating the joint distribution of multivariate categorical data when units are nested within groups. Such data arise frequently in social science settings, for example, people living in households. The…

Methodology · Statistics 2016-10-31 Jingchen Hu , Jerome P. Reiter , Quanli Wang

During the last decade, a large number of different numerical methods have been proposed to tackle the automatic identification and quantification in {\gamma}-ray spectrometry. However, the lack of common benchmarks, including datasets,…

Machine Learning · Computer Science 2025-08-13 Dinh Triem Phan , Jérôme Bobin , Cheick Thiam , Christophe Bobin

Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting…

Methodology · Statistics 2019-08-29 Panagiotis Papastamoulis

Collected data, which is used for analysis or prediction tasks, often have a hierarchical structure, for example, data from various people performing the same task. Modeling the data's structure can improve the reliability of the derived…

Applications · Statistics 2018-11-12 Dennis Becker

Molecule- and particle-based simulations provide the tools to test, in microscopic detail, the validity of classical nucleation theory. In this endeavour, determining nucleation mechanisms and rates for phase separation requires an…

Materials Science · Physics 2023-02-27 Aaron R. Finney , Matteo Salvalaglio

Bayesian hierarchical modeling is a popular approach to capturing unobserved heterogeneity across individual units. However, standard estimation methods such as Markov chain Monte Carlo (MCMC) can be impracticable for modeling outcomes from…

Methodology · Statistics 2014-11-04 Michael Braun , Paul Damien

Quantum parameter estimation offers solid conceptual grounds for the design of sensors enjoying quantum advantage. This is realised not only by means of hardware supporting and exploiting quantum properties, but data analysis has its impact…

With the advance of imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

Methodology · Statistics 2020-12-10 Qiwei Li , Xinlei Wang , Faming Liang , Guanghua Xiao

We present a Bayesian hierarchical multi-view mixture model termed Symphony that simultaneously learns clusters of cells representing cell types and their underlying gene regulatory networks by integrating data from two views: single-cell…

Machine Learning · Statistics 2019-02-22 Cassandra Burdziak , Elham Azizi , Sandhya Prabhakaran , Dana Pe'er

In regression models, predictor variables with inherent ordering, such as tumor staging ranging and ECOG performance status, are commonly seen in medical settings. Statistically, it may be difficult to determine the functional form of an…

Methodology · Statistics 2020-08-04 Emily Roberts , Lili Zhao

Models of biological systems often have many unknown parameters that must be determined in order for model behavior to match experimental observations. Commonly-used methods for parameter estimation that return point estimates of the…

Quantitative Methods · Quantitative Biology 2018-01-31 Sanjana Gupta , Liam Hainsworth , Justin S. Hogg , Robin E. C. Lee , James R. Faeder

Bayesian multinomial logistic regression provides a principled, interpretable approach to multiclass classification, but posterior sampling becomes increasingly expensive as the model dimension grows. Prior work has studied scalability in…

Computation · Statistics 2026-02-27 Jared D. Fisher , Kyle R. McEvoy

Classically, Bayesian clustering interprets each component of a mixture model as a cluster. The inferred clustering posterior is highly sensitive to any inaccuracies in the kernel within each component. As this kernel is made more flexible,…

Methodology · Statistics 2025-12-12 David Buch , Miheer Dewaskar , David B. Dunson

Raman spectroscopy is a well established tool for the analysis of vibration spectra, which then allow for the determination of individual substances in a chemical sample, or for their phase transitions. In the…

Numerical Analysis · Mathematics 2020-07-15 Konstantin Fackeldey , Jonas Röhm , Amir Niknejad , Surahit Chewle , Marcus Weber