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We present a perfect sampling algorithm for Gibbs point processes, based on the partial rejection sampling of Guo et al. (2017). Our particular focus is on pairwise interaction processes, penetrable spheres mixture models and…

Probability · Mathematics 2019-01-18 Sarat B. Moka , Dirk P. Kroese

[104] introduced a powerful \emph{fully lifted} (fl) statistical interpolating mechanism. It established a nested connection between blirps (bilinearly indexed random processes) and their decoupled (linearly indexed) comparative…

Probability · Mathematics 2025-06-25 Mihailo Stojnic

Thompson sampling (TS) is one of the most popular exploration techniques in reinforcement learning (RL). However, most TS algorithms with theoretical guarantees are difficult to implement and not generalizable to Deep RL. While the emerging…

Machine Learning · Computer Science 2024-06-19 Haque Ishfaq , Yixin Tan , Yu Yang , Qingfeng Lan , Jianfeng Lu , A. Rupam Mahmood , Doina Precup , Pan Xu

We propose a coupled rejection-sampling method for sampling from couplings of arbitrary distributions. The method relies on accepting or rejecting coupled samples coming from dominating marginals. Contrary to existing acceptance-rejection…

Methodology · Statistics 2022-03-11 Adrien Corenflos , Simo Särkkä

A number of algorithms have been developed to solve probabilistic inference problems on belief networks. These algorithms can be divided into two main groups: exact techniques which exploit the conditional independence revealed when the…

Artificial Intelligence · Computer Science 2013-04-08 Ross D. Shachter , Mark Alan Peot

This note describes an algorithm for enumerating all the elements in a finite set based on uniformly random sampling from the set. This algorithm can be used for enumeration by fair sampling with quantum annealing. Our algorithm is based on…

Quantum Physics · Physics 2021-04-06 Yuta Mizuno , Tamiki Komatsuzaki

A new sampling methodology based on incomplete cosine expansion series is presented as an alternative to the traditional sinc function approach. Numerical integration shows that this methodology is efficient and practical. Applying the…

Numerical Analysis · Mathematics 2015-03-24 S. M. Abrarov , B. M. Quine

Partial Rejection Sampling is an algorithmic approach to obtaining a perfect sample from a specified distribution. The objects to be sampled are assumed to be represented by a number of random variables. In contrast to classical rejection…

Data Structures and Algorithms · Computer Science 2024-09-18 Mark Jerrum

We present the first class of perfect sampling (also known as exact simulation) algorithms for the steady-state distribution of non-Markovian loss networks. We use a variation of Dominated Coupling From The Past for which we simulate a…

Probability · Mathematics 2013-12-17 Jose Blanchet , Jing Dong

Temporal point processes are powerful generative models for event sequences that capture complex dependencies in time-series data. They are commonly specified using autoregressive models that learn the distribution of the next event from…

Machine Learning · Computer Science 2025-10-24 Marin Biloš , Anderson Schneider , Yuriy Nevmyvaka

We present a logical system CFP (Concurrent Fixed Point Logic) from whose proofs one can extract nondeterministic and concurrent programs that are provably total and correct with respect to the proven formula. CFP is an intuitionistic…

Logic in Computer Science · Computer Science 2022-02-01 Ulrich Berger , Hideki Tsuiki

In this article we introduce two new perfect simulation algorithms for chains with infinite memory. Both algorithms belong to the coupling of past procedures. The novelty of our approach is that it allows to include unknown states to the…

Probability · Mathematics 2025-10-30 Emilio De Santis , Kádmo Laxa , Eva Löcherbach

Rejection sampling is a well-known method to sample from a target distribution, given the ability to sample from a given distribution. The method has been first formalized by von Neumann (1951) and has many applications in classical…

Quantum Physics · Physics 2015-03-19 Maris Ozols , Martin Roetteler , Jérémie Roland

Despite huge success, deep networks are unable to learn effectively in sequential multitask learning settings as they forget the past learned tasks after learning new tasks. Inspired from complementary learning systems theory, we address…

Machine Learning · Computer Science 2019-06-04 Mohammad Rostami , Soheil Kolouri , Praveen K. Pilly

Federated Bayesian neural networks require fixing a prior on the model parameters together with a likelihood. Eliciting meaningful priors on the weight space of modern overparameterized models is notoriously difficult, and misspecification…

Machine Learning · Computer Science 2026-05-19 Boning Zhang , Matteo Zecchin , Mingzhao Guo , Dongzhu Liu , Osvaldo Simeone

Boltzmann samplers, introduced by Duchon et al. in 2001, make it possible to uniformly draw approximate size objects from any class which can be specified through the symbolic method. This, through by evaluating the associated generating…

Discrete Mathematics · Computer Science 2014-11-14 Olivier Bodini , Jérémie Lumbroso , Nicolas Rolin

Counting perfect matchings has played a central role in the theory of counting problems. The permanent, corresponding to bipartite graphs, was shown to be #P-complete to compute exactly by Valiant (1979), and a fully polynomial randomized…

Data Structures and Algorithms · Computer Science 2017-12-21 Daniel Štefankovič , Eric Vigoda , John Wilmes

Determinantal point processes (DPPs) are an important concept in random matrix theory and combinatorics. They have also recently attracted interest in the study of numerical methods for machine learning, as they offer an elegant "missing…

Machine Learning · Computer Science 2018-04-18 Philipp Hennig , Roman Garnett

We propose an exact slice sampler for Hierarchical Dirichlet process (HDP) and its associated mixture models (Teh et al., 2006). Although there are existing MCMC algorithms for sampling from the HDP, a slice sampler has been missing from…

Machine Learning · Statistics 2019-03-22 Arash A. Amini , Marina Paez , Lizhen Lin , Zahra S. Razaee

Packing for Supervised Fine-Tuning (SFT) in autoregressive models involves concatenating data points of varying lengths until reaching the designed maximum length to facilitate GPU processing. However, randomly concatenating data points can…

Machine Learning · Computer Science 2025-02-27 Jiancheng Dong , Lei Jiang , Wei Jin , Lu Cheng