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Finding the model that best describes a high-dimensional dataset is a daunting task, even more so if one aims to consider all possible high-order patterns of the data, going beyond pairwise models. For binary data, we show that this task…

人工智能 · 计算机科学 2024-08-28 Clélia de Mulatier , Matteo Marsili

Dynamical models of cognition play an increasingly important role in driving theoretical and experimental research in psychology. Therefore, parameter estimation, model analysis and comparison of dynamical models are of essential…

Unbinned likelihood fits aim at maximizing the information one can extract from experimental data, yet their application in realistic statistical analyses is often hindered by the computational cost of profiling systematic uncertainties.…

高能物理 - 唯象学 · 物理学 2026-02-16 Davide Valsecchi , Mauro Donegà , Rainer Wallny

Multiple imputation (MI) is a method for repairing and analyzing data with missing values. MI replaces missing values with a sample of random values drawn from an imputation model. The most popular form of MI, which we call posterior draw…

统计方法学 · 统计学 2019-11-18 Paul T. von Hippel , Jonathan Bartlett

Statistical estimation often involves tradeoffs between expensive, high-quality measurements and a variety of lower-quality proxies. We introduce Multiple-Prediction-Powered Inference (MultiPPI): a general framework for constructing…

This article addresses the problem of derivative-free (single- or multi-objective) optimization subject to multiple inequality constraints. Both the objective and constraint functions are assumed to be smooth, non-linear and expensive to…

统计计算 · 统计学 2017-07-28 Paul Feliot , Julien Bect , Emmanuel Vazquez

Stochastic variational inference (SVI) is emerging as the most promising candidate for scaling inference in Bayesian probabilistic models to large datasets. However, the performance of these methods has been assessed primarily in the…

机器学习 · 统计学 2015-06-29 Amar Shah , David A. Knowles , Zoubin Ghahramani

Simulator-based models are models for which the likelihood is intractable but simulation of synthetic data is possible. They are often used to describe complex real-world phenomena, and as such can often be misspecified in practice.…

统计方法学 · 统计学 2022-12-20 Charita Dellaporta , Jeremias Knoblauch , Theodoros Damoulas , François-Xavier Briol

Simulation-based inference techniques are indispensable for parameter estimation of mechanistic and simulable models with intractable likelihoods. While traditional statistical approaches like approximate Bayesian computation and Bayesian…

统计方法学 · 统计学 2024-03-08 Ryan P. Kelly , David J. Nott , David T. Frazier , David J. Warne , Chris Drovandi

Multilevel models (MLMs) are a central building block of the Bayesian workflow. They enable joint, interpretable modeling of data across hierarchical levels and provide a fully probabilistic quantification of uncertainty. Despite their…

When a statistical model $\{P_{\theta} : \theta \in \Theta\}$ lacks analytically tractable likelihoods, parametric statistical inference based on data generated from an unknown underlying distribution $P$ can still be performed as long as…

统计方法学 · 统计学 2026-05-19 Peter Matthew Jacobs , Lekha Patel , Anirban Bhattacharya , Debdeep Pati

We present Sequential Neural Likelihood (SNL), a new method for Bayesian inference in simulator models, where the likelihood is intractable but simulating data from the model is possible. SNL trains an autoregressive flow on simulated data…

机器学习 · 统计学 2019-01-23 George Papamakarios , David C. Sterratt , Iain Murray

Bayesian optimization (BO) is a sequential decision-making tool widely used for optimizing expensive black-box functions. Recently, Large Language Models (LLMs) have shown remarkable adaptability in low-data regimes, making them promising…

机器学习 · 计算机科学 2025-10-10 Chih-Yu Chang , Milad Azvar , Chinedum Okwudire , Raed Al Kontar

Probabilistic programming provides the means to represent and reason about complex probabilistic models using programming language constructs. Even simple probabilistic programs can produce models with infinitely many variables. Factored…

人工智能 · 计算机科学 2015-09-14 Avi Pfeffer , Brian Ruttenberg , Amy Sliva , Michael Howard , Glenn Takata

Functional mixed models are widely useful for regression analysis with dependent functional data, including longitudinal functional data with scalar predictors. However, existing algorithms for Bayesian inference with these models only…

统计方法学 · 统计学 2023-06-14 Thomas Y. Sun , Daniel R. Kowal

Reconstructing the position of an interaction for any dual-phase time projection chamber (TPC) with the best precision is key to directly detecting Dark Matter. Using the likelihood-free framework, a new algorithm to reconstruct the 2-D (x;…

天体物理仪器与方法 · 物理学 2019-03-27 U. Simola , B. Pelssers , D. Barge , J. Conrad , J. Corander

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

统计方法学 · 统计学 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Many scientific models are composed of multiple discrete components, and scientists often make heuristic decisions about which components to include. Bayesian inference provides a mathematical framework for systematically selecting model…

机器学习 · 计算机科学 2024-05-31 Cornelius Schröder , Jakob H. Macke

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

统计方法学 · 统计学 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

This paper proposes approaches for the analysis of multiple changepoint models when dependency in the data is modelled through a hierarchical Gaussian Markov random field. Integrated nested Laplace approximations are used to approximate…

统计计算 · 统计学 2015-03-17 Jason Wyse , Nial Friel , Håvard Rue