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Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

Statistical Mechanics · Physics 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Stratified sampling is a fast and simple method to generate point sets with uniform distribution in hypercubes. However, for the most common paraxial stratfication it has the prominent drawback that the number of sampled points in n…

Computation · Statistics 2018-06-14 Simon Wessing

Nested sampling is an iterative integration procedure that shrinks the prior volume towards higher likelihoods by removing a "live" point at a time. A replacement point is drawn uniformly from the prior above an ever-increasing likelihood…

Computation · Statistics 2014-12-03 Johannes Buchner

This paper establishes the theoretical foundation for statistical applications of an intriguing new type of spatial point processes called critical point processes. These point processes, residing in Euclidean space, consist of the critical…

Probability · Mathematics 2025-07-08 Julien Chevallier , Jean-François Coeurjolly , Rasmus Waagepetersen

In this paper, a simulation-based method for the analysis and design of abstracted models for a stochastic hybrid system is proposed. The accuracy of a model is evaluated in terms of its capability to reproduce the system output for all the…

Systems and Control · Computer Science 2014-05-29 M. Prandini , S. Garatti , R. Vignali

Recently, a novel coded compressed sensing (CCS) approach was proposed in [1] for dealing with the scalability problem for large sensing matrices in massive machine-type communications. The approach is to divide the compressed sensing (CS)…

Networking and Internet Architecture · Computer Science 2021-09-01 Yi-Jheng Lin , Chia-Ming Chang , Cheng-Shang Chang

Sampling from diffusion probabilistic models (DPMs) is often expensive for high-quality image generation and typically requires many steps with a large model. In this paper, we introduce sampling Trajectory Stitching T-Stitch, a simple yet…

Computer Vision and Pattern Recognition · Computer Science 2024-02-23 Zizheng Pan , Bohan Zhuang , De-An Huang , Weili Nie , Zhiding Yu , Chaowei Xiao , Jianfei Cai , Anima Anandkumar

We introduce Ensemble Rejection Sampling, a scheme for exact simulation from the posterior distribution of the latent states of a class of non-linear non-Gaussian state-space models. Ensemble Rejection Sampling relies on a proposal for the…

Computation · Statistics 2020-01-28 George Deligiannidis , Arnaud Doucet , Sylvain Rubenthaler

Particle-optimization-based sampling (POS) is a recently developed effective sampling technique that interactively updates a set of particles. A representative algorithm is the Stein variational gradient descent (SVGD). We prove, under…

Machine Learning · Statistics 2020-03-31 Jianyi Zhang , Ruiyi Zhang , Lawrence Carin , Changyou Chen

The etching process is one of the most important processes in semiconductor manufacturing. We have introduced the state-of-the-art deep learning model to predict the etching profiles. However, the significant problems violating physics have…

Machine Learning · Statistics 2021-04-07 Sanghoon Myung , Hyunjae Jang , Byungseon Choi , Jisu Ryu , Hyuk Kim , Sang Wuk Park , Changwook Jeong , Dae Sin Kim

The kinetics of collective rearrangements in solution, such as protein folding and nanocrystal phase transitions, often involve free energy barriers that are both long and rough. Applying methods of transition path sampling to harvest…

Statistical Mechanics · Physics 2009-11-13 M. Grünwald , P. L. Geissler , C. Dellago

Generating realistic time series samples is crucial for stress-testing models and protecting user privacy by using synthetic data. In engineering and safety-critical applications, these samples must meet certain hard constraints that are…

Machine Learning · Computer Science 2025-10-31 Sai Shankar Narasimhan , Shubhankar Agarwal , Litu Rout , Sanjay Shakkottai , Sandeep P. Chinchali

The stable under iterated tessellation (STIT) process is a stochastic process that produces a recursive partition of space with cut directions drawn independently from a distribution over the sphere. The case of random axis-aligned cuts is…

Machine Learning · Statistics 2021-09-15 Eliza O'Reilly , Ngoc Tran

Consider a symmetrical conflict relationship between the points of a point process. The Mat\'ern type constructions provide a generic way of selecting a subset of this point process which is conflict-free. The simplest one consists in…

Probability · Mathematics 2013-11-21 Tien Viet Nguyen , François Baccelli

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

Statistical Mechanics · Physics 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare

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

Markov chains have long been used for generating random variates from spatial point processes. Broadly speaking, these chains fall into two categories: Metropolis-Hastings type chains running in discrete time and spatial birth-death chains…

Probability · Mathematics 2012-07-31 Mark Huber

Innovative numerical scheme studied in this work enables to overcome two main limitations of Building Performance Simulation (BPS) programs as high computational cost and the choice of a very fine numerical grid. The method, called…

Computational Engineering, Finance, and Science · Computer Science 2020-01-07 Madina Abdykarim , Julien Berger , Denys Dutykh , Amen Agbossou

Fitting models for non-Poisson point processes is complicated by the lack of tractable models for much of the data. By using large samples of independent and identically distributed realizations and statistical learning, it is possible to…

Methodology · Statistics 2007-12-04 Jeffrey Picka , Mingxia Deng

In Bayesian optimization, Thompson sampling selects the evaluation point by sampling from the posterior distribution over the objective function maximizer. Because this sampling problem is intractable for Gaussian process (GP) surrogates,…

Machine Learning · Computer Science 2026-04-13 Donney Fan , Geoff Pleiss