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Multivariate Item Response Theory (MIRT) is sought-after widely by applied researchers looking for interpretable (sparse) explanations underlying response patterns in questionnaire data. There is, however, an unmet demand for such sparsity…

统计方法学 · 统计学 2025-03-10 Jiguang Li , Robert Gibbons , Veronika Rockova

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

统计方法学 · 统计学 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Informed Markov chain Monte Carlo (MCMC) methods have been proposed as scalable solutions to Bayesian posterior computation on high-dimensional discrete state spaces, but theoretical results about their convergence behavior in general…

统计计算 · 统计学 2022-02-01 Quan Zhou , Aaron Smith

Although Large language Model (LLM)-powered information extraction (IE) systems have shown impressive capabilities, current fine-tuning paradigms face two major limitations: high training costs and difficulties in aligning with LLM…

计算与语言 · 计算机科学 2025-12-16 Yushen Fang , Jianjun Li , Mingqian Ding , Chang Liu , Xinchi Zou , Wenqi Yang

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

统计方法学 · 统计学 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

We develop a scalable multi-step Monte Carlo algorithm for inference under a large class of nonparametric Bayesian models for clustering and classification. Each step is "embarrassingly parallel" and can be implemented using the same Markov…

统计计算 · 统计学 2018-06-08 Yang Ni , Peter Müller , Maurice Diesendruck , Sinead Williamson , Yitan Zhu , Yuan Ji

There has been considerable interest in making Bayesian inference more scalable. In big data settings, most literature focuses on reducing the computing time per iteration, with less focused on reducing the number of iterations needed in…

统计方法学 · 统计学 2017-09-28 Leo L. Duan , James E. Johndrow , David B. Dunson

Data-driven model discovery (DDMD) algorithms are powerful tools for extracting interpretable symbolic models from data. However, identifying the model that best balances goodness-of-fit and sparsity is often a laborious process requiring…

定量方法 · 定量生物学 2026-02-26 Michael C Chung , Alen Zacharia , Juan Guan

Calibration of individual based models (IBMs), successful in modeling complex ecological dynamical systems, is often performed only ad-hoc. Bayesian inference can be used for both parameter estimation and uncertainty quantification, but its…

统计计算 · 统计学 2017-11-09 Jonas Šukys , Mira Kattwinkel

We propose a new sparse estimation method, termed MIC (Minimum approximated Information Criterion), for generalized linear models (GLM) in fixed dimensions. What is essentially involved in MIC is the approximation of the $\ell_0$-norm with…

统计方法学 · 统计学 2018-07-23 Xiaogang Su , Juanjuan Fan , Richard A. Levine , Martha E. Nunn , Chih-Ling Tsai

Scoring systems are classification models that only require users to add, subtract and multiply a few meaningful numbers to make a prediction. These models are often used because they are practical and interpretable. In this paper, we…

机器学习 · 统计学 2014-04-14 Berk Ustun , Stefano Tracà , Cynthia Rudin

Item response theory (IRT) models for categorical response data are widely used in the analysis of educational data, computerized adaptive testing, and psychological surveys. However, most IRT models rely on both the assumption that…

机器学习 · 统计学 2015-01-14 Ryan Ning , Andrew E. Waters , Christoph Studer , Richard G. Baraniuk

In this paper we consider sparse and identifiable linear latent variable (factor) and linear Bayesian network models for parsimonious analysis of multivariate data. We propose a computationally efficient method for joint parameter and model…

机器学习 · 统计学 2011-06-24 Ricardo Henao , Ole Winther

Item Response Theory (IRT) is a ubiquitous model for understanding human behaviors and attitudes based on their responses to questions. Large modern datasets offer opportunities to capture more nuances in human behavior, potentially…

机器学习 · 计算机科学 2022-07-29 Mike Wu , Richard L. Davis , Benjamin W. Domingue , Chris Piech , Noah Goodman

We propose a Multi-step Screening Procedure (MSP) for the recovery of sparse linear models in high-dimensional data. This method is based on a repeated small penalty strategy that quickly converges to an estimate within a few iterations.…

统计方法学 · 统计学 2019-12-13 Yuehan Yang , Ji Zhu , Edward I. George

Markov chain Monte Carlo (MCMC) samplers are numerical methods for drawing samples from a given target probability distribution. We discuss one particular MCMC sampler, the MALA-within-Gibbs sampler, from the theoretical and practical…

统计计算 · 统计学 2020-03-19 X. T. Tong , M. Morzfeld , Y. M. Marzouk

This work introduces a Bayesian methodology for fitting large discrete graphical models with spike-and-slab priors to encode sparsity. We consider a quasi-likelihood approach that enables node-wise parallel computation resulting in reduced…

统计方法学 · 统计学 2019-10-21 Anwesha Bhattacharyya , Yves Atchade

Item Response Theory (IRT) models aim to assess latent abilities of $n$ examinees along with latent difficulty characteristics of $m$ test items from categorical data that indicates the quality of their corresponding answers. Classical…

机器学习 · 计算机科学 2024-08-16 Susanne Frick , Amer Krivošija , Alexander Munteanu

In this paper we present the SPICE approach for sparse parameter estimation in a framework that unifies it with other hyperparameter-free methods, namely LIKES, SLIM and IAA. Specifically, we show how the latter methods can be interpreted…

统计理论 · 数学 2015-05-12 Petre Stoica , Dave Zachariah , Jian Li

Estimating the size of hidden populations using Multiple Systems Estimation (MSE) is a critical task in quantitative sociology; however, practical application is often hindered by imperfect administrative data and computational constraints.…

应用统计 · 统计学 2026-01-12 Joseph Marsh , Nathan A. Judd , Lax Chan , Rowland G. Seymour
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