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We present the marginal unbiased score expansion (MUSE) method, an algorithm for generic high-dimensional hierarchical Bayesian inference. MUSE performs approximate marginalization over arbitrary non-Gaussian latent parameter spaces,…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-01 Marius Millea , Uros Seljak

Long-standing challenges in cluster expansion (CE) construction include choosing how to truncate the expansion and which crystal structures to use for training. Compressive sensing (CS), which is emerging as a powerful tool for model…

Materials Science · Physics 2013-10-30 Lance J Nelson , Vidvuds Ozolins , Shane Reese , Fei Zhou , Gus L. W. Hart

This paper addresses the problem of mixed-membership estimation in networks, where the goal is to efficiently estimate the latent mixed-membership structure from the observed network. Recognizing the widespread availability and valuable…

Statistics Theory · Mathematics 2025-02-11 Jianqing Fan , Jiawei Ge , Jikai Hou

We discuss the approach to estimate aggregation and adaptive estimation based upon (nearly optimal) testing of convex hypotheses. We show that in the situation where the observations stem from {\em simple observation schemes} and where set…

Statistics Theory · Mathematics 2021-07-19 Anatoli Juditsky , Arkadi Nemirovski

Loss functions like Categorical Cross Entropy (CCE), Binary Cross Entropy (BCE), and Bayesian Personalized Ranking (BPR) are commonly used in training Recommender Systems (RSs) to differentiate positive items - those interacted with by…

Information Retrieval · Computer Science 2025-04-22 Giulia Di Teodoro , Federico Siciliano , Nicola Tonellotto , Fabrizio Silvestri

Peak Estimation aims to find the maximum value of a state function achieved by a dynamical system. This problem is non-convex when considering standard Barrier and Density methods for invariant sets, and has been treated heuristically by…

Systems and Control · Electrical Eng. & Systems 2022-01-10 Jared Miller , Didier Henrion , Mario Sznaier

Unmeasured confounding bias threatens the validity of observational studies. While sensitivity analyses and study designs have been proposed to address this issue, they often overlook the growing availability of auxiliary data. Using…

Methodology · Statistics 2024-10-22 Jie Kate Hu , Dafne Zorzetto , Francesca Dominici

In this work, we propose a novel approach called Operational Support Estimator Networks (OSENs) for the support estimation task. Support Estimation (SE) is defined as finding the locations of non-zero elements in sparse signals. By its very…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Mete Ahishali , Mehmet Yamac , Serkan Kiranyaz , Moncef Gabbouj

While significant progress has been made in specifying neural networks capable of representing uncertainty, deep networks still often suffer from overconfidence and misaligned predictive distributions. Existing approaches for measuring this…

Machine Learning · Computer Science 2025-10-24 Spencer Young , Riley Sinema , Cole Edgren , Andrew Hall , Nathan Dong , Porter Jenkins

In this work, we establish a method for abstracting information from Computer Aided Engineering (CAE) into graphs. Such graph representations of CAE data can improve design guidelines and support recommendation systems by enabling the…

Artificial Intelligence · Computer Science 2023-06-19 Anahita Pakiman , Jochen Garcke , Axel Schumacher

Dealing with biased data samples is a common task across many statistical fields. In survey sampling, bias often occurs due to unrepresentative samples. In causal studies with observational data, the treated versus untreated group…

Computation · Statistics 2019-07-29 Xiaojing Wang , Jingang Miao , Yunting Sun

Probabilistic encoding introduces Gaussian noise into neural networks, enabling a smooth transition from deterministic to uncertain states and enhancing generalization ability. However, the randomness of Gaussian noise distorts point-based…

Machine Learning · Computer Science 2025-07-24 Pengjiu Xia , Yidian Huang , Wenchao Wei , Yuwen Tan

Conformal Prediction (CP) is a principled framework for quantifying uncertainty in blackbox learning models, by constructing prediction sets with finite-sample coverage guarantees. Traditional approaches rely on scalar nonconformity scores,…

Machine Learning · Statistics 2025-05-07 Gauthier Thurin , Kimia Nadjahi , Claire Boyer

Time Series Anomaly Detection metrics serve as crucial tools for model evaluation. However, existing metrics suffer from several limitations: insufficient discriminative power, strong hyperparameter dependency, sensitivity to perturbations,…

Machine Learning · Computer Science 2025-09-03 Zhijie Zhong , Zhiwen Yu , Yiu-ming Cheung , Kaixiang Yang

Collaboration between different data centers is often challenged by heterogeneity across sites. To account for the heterogeneity, the state-of-the-art method is to re-weight the covariate distributions in each site to match the distribution…

Machine Learning · Statistics 2024-04-25 Tianyu Guo , Sai Praneeth Karimireddy , Michael I. Jordan

Bayesian model selection provides the cosmologist with an exacting tool to distinguish between competing models based purely on the data, via the Bayesian evidence. Previous methods to calculate this quantity either lacked general…

Astrophysics · Physics 2008-11-26 J. R. Shaw , M. Bridges , M. P. Hobson

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

The Heuristic Ratio Estimation (HRE) approach proposes a new way of using the pairwise comparisons matrix. It allows the assumption that the weights of some alternatives (herein referred to as concepts) are known and fixed, hence the weight…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski

For complex crowdsourcing tasks that require collaboration between multiple individuals, teams should be formed by considering both worker compatibility and expertise. Furthermore, the nature of crowdsourcing dictates the budget for tasks…

Social and Information Networks · Computer Science 2025-11-17 Ryota Yamamoto , Kazushi Okamoto

Sparse Inverse Covariance Estimation (SICE) is useful in many practical data analyses. Recovering the connectivity, non-connectivity graph of covariates is classified amongst the most important data mining and learning problems. In this…

Machine Learning · Computer Science 2019-04-05 Ashkan Esmaeili , Farokh Marvasti