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We present an autodifferentiable rejection sampling algorithm termed Rejection Sampling with Autodifferentiation (RSA). In conjunction with reweighting, we show that RSA can be used for efficient parameter estimation and model exploration.…

High Energy Physics - Phenomenology · Physics 2024-12-09 Nick Heller , Phil Ilten , Tony Menzo , Stephen Mrenna , Benjamin Nachman , Andrzej Siodmok , Manuel Szewc , Ahmed Youssef

The safety assessment of automated vehicles (AVs) is an important aspect of the development cycle of AVs. A scenario-based assessment approach is accepted by many players in the field as part of the complete safety assessment. A scenario is…

Artificial Intelligence · Computer Science 2024-08-28 Erwin de Gelder , Eric Cator , Jan-Pieter Paardekooper , Olaf Op den Camp , Bart De Schutter

The paper presents a novel learning-based sampling strategy that guarantees rejection-free sampling of the free space under both biased and approximately uniform conditions, leveraging multivariate kernel densities. Historical data from a…

Robotics · Computer Science 2025-05-15 Thomas T. Enevoldsen , Roberto Galeazzi

Approximate Bayesian Computation (ABC) methods are increasingly used for inference in situations in which the likelihood function is either computationally costly or intractable to evaluate. Extensions of the basic ABC rejection algorithm…

Computation · Statistics 2020-05-01 Umberto Simola , Jessica Cisewski-Kehe , Michael U. Gutmann , Jukka Corander

This article develops a general-purpose adaptive sampler that approximates the target density by a mixture of multivariate t densities. The adaptive sampler is based on reversible proposal distributions each of which has the mixture of…

Methodology · Statistics 2013-08-22 Minh-Ngoc Tran , Michael K. Pitt , Robert Kohn

Respondent-driven sampling (RDS) is widely used to study hidden or hard-to-reach populations by incentivizing study participants to recruit their social connections. The success and efficiency of RDS can depend critically on the nature of…

Methodology · Statistics 2025-01-06 Justin Weltz , Angela Yoon , Yichi Zhang , Alexander Volfovsky , Eric Laber

The adaptive Metropolis (AM) algorithm of Haario, Saksman and Tamminen [Bernoulli 7 (2001) 223-242] uses the estimated covariance of the target distribution in the proposal distribution. This paper introduces a new robust adaptive…

Computation · Statistics 2011-05-30 Matti Vihola

Adaptive importance sampling is a class of techniques for finding good proposal distributions for importance sampling. Often the proposal distributions are standard probability distributions whose parameters are adapted based on the…

Computation · Statistics 2021-03-10 Topi Paananen , Juho Piironen , Paul-Christian Bürkner , Aki Vehtari

Annealed Importance Sampling (AIS) synthesizes weighted samples from an intractable distribution given its unnormalized density function. This algorithm relies on a sequence of interpolating distributions bridging the target to an initial…

Machine Learning · Statistics 2023-06-28 Shirin Goshtasbpour , Victor Cohen , Fernando Perez-Cruz

Efficient topology optimization based on the adaptive auxiliary reduced model reanalysis (AARMR) is proposed to improve computational efficiency and scale. In this method, a projection auxiliary reduced model (PARM) is integrated into the…

Computational Engineering, Finance, and Science · Computer Science 2023-01-04 Jichao Yin , Hu Wang , Shuhao Li , Daozhen Guo

This paper presents an iterative detection and decoding scheme along with an adaptive strategy to improve the selection of access points (APs) in a grant-free uplink cell-free scenario. With the requirement for the APs to have…

Information Theory · Computer Science 2023-12-29 R. Di Renna , R. C. de Lamare

Rejection sampling is a popular method used to generate numbers that follow some given distribution. We study the use of this method to generate random numbers in the unit interval from increasing probability density functions. We focus on…

Data Structures and Algorithms · Computer Science 2025-09-30 Louis-Roy Langevin , Alex Waese-Perlman

Selecting a subset of promising candidates from a large pool is crucial across various scientific and real-world applications. Conformal selection offers a distribution-free and model-agnostic framework for candidate selection with…

Machine Learning · Statistics 2025-08-20 Kangdao Liu , Huajun Xi , Chi-Man Vong , Hongxin Wei

A common strategy in transfer learning is few shot fine-tuning, but its success is highly dependent on the quality of samples selected as training examples. Active learning methods such as uncertainty sampling and diversity sampling can…

Computation and Language · Computer Science 2026-04-23 Wei Han , David Martinez , Anna Khanina , Lawrence Cavedon , Karin Verspoor

Response-adaptive randomization (RAR) has been studied extensively in conventional, single-stage clinical trials, where it has been shown to yield ethical and statistical benefits, especially in trials with many treatment arms. However, RAR…

Methodology · Statistics 2024-01-09 Peter Norwood , Marie Davidian , Eric Laber

Generating random variates from high-dimensional distributions is often done approximately using Markov chain Monte Carlo. In certain cases, perfect simulation algorithms exist that allow one to draw exactly from the stationary…

Data Structures and Algorithms · Computer Science 2017-01-05 Mark Huber

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

Computation · Statistics 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

Kernel matrices (e.g. Gram or similarity matrices) are essential for many state-of-the-art approaches to classification, clustering, and dimensionality reduction. For large datasets, the cost of forming and factoring such kernel matrices…

Machine Learning · Statistics 2015-05-21 Raajen Patel , Thomas A. Goldstein , Eva L. Dyer , Azalia Mirhoseini , Richard G. Baraniuk

In this paper we combine the Alias method with the concept of systematic sampling, a method commonly used in particle filters for efficient low-variance resampling. The proposed method allows very fast sampling from a discrete distribution:…

Data Structures and Algorithms · Computer Science 2025-09-30 Ilari Vallivaara , Katja Poikselkä , Pauli Rikula , Juha Röning

The emergence of massive data in recent years brings challenges to automatic statistical inference. This is particularly true if the data are too numerous to be read into memory as a whole. Accordingly, new sampling techniques are needed to…

Methodology · Statistics 2021-10-05 Rui Pan , Yingqiu Zhu , Baishan Guo , Xuening Zhu , Hansheng Wang
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