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This paper studies the problem of signal tracking and disturbance rejection for sampled-data control systems, where the pertinent signals can reside beyond the so-called Nyquist frequency. In light of the sampling theorem, it is generally…

系统与控制 · 电气工程与系统科学 2022-12-27 Kaoru Yamamoto , Yutaka Yamamoto , Masaaki Nagahara

Balancing a rare and serious possibility against a more common and less serious one is a familiar problem in many situations, such as the prediction of rare diseases. The relative costs of forecasting errors can be used for any prediction…

统计方法学 · 统计学 2009-05-04 Paul T Seed

The problem of individualized prediction can be addressed using variants of conformal prediction, obtaining the intervals to which the actual values of the variables of interest belong. Here we present a method based on detecting the…

统计方法学 · 统计学 2023-04-12 Fernando Delbianco , Fernando Tohmé

This article analyzes the problem of estimating the time until an event occurs, also known as survival modeling. We observe through substantial experiments on large real-world datasets and use-cases that populations are largely…

机器学习 · 计算机科学 2019-05-13 David Hubbard , Benoit Rostykus , Yves Raimond , Tony Jebara

The coincidence-time loophole was identified by Larsson & Gill (Europhys. Lett. 67, 707 (2004)); a concrete model that exploits this loophole has recently been described by De Raedt et al. (Found. Phys., to appear). It is emphasized here…

量子物理 · 物理学 2008-01-14 Peter Morgan

In machine learning and statistics, probabilistic inference involving multimodal distributions is quite difficult. This is especially true in high dimensional problems, where most existing algorithms cannot easily move from one mode to…

统计计算 · 统计学 2015-06-22 Shiwei Lan , Jeffrey Streets , Babak Shahbaba

Real-time coupled cluster (CC) methods have several advantages over their frequency-domain counterparts, namely, response and equation of motion CC theories. Broadband spectra, strong fields, and pulse manipulation allow for the simulation…

化学物理 · 物理学 2023-08-04 Benjamin G. Peyton , Zhe Wang , T. Daniel Crawford

Delayed-acceptance is a technique for reducing computational effort for Bayesian models with expensive likelihoods. Using a delayed-acceptance kernel for Markov chain Monte Carlo can reduce the number of expensive likelihoods evaluations…

统计计算 · 统计学 2026-01-07 Joshua J Bon , Anthony Lee , Christopher Drovandi

Using techniques from Poisson approximation, we prove explicit error bounds on the number of permutations that avoid any pattern. Most generally, we bound the total variation distance between the joint distribution of pattern occurrences…

组合数学 · 数学 2023-06-22 Harry Crane , Stephen DeSalvo

The leapfrog integrator is routinely used within the Hamiltonian Monte Carlo method and its variants. We give strong numerical evidence that alternative, easy to implement algorithms yield fewer rejections with a given computational effort.…

统计计算 · 统计学 2021-04-05 M. P. Calvo , D. Sanz-Alonso , J. M. Sanz-Serna

Factorizing low-rank matrices is a problem with many applications in machine learning and statistics, ranging from sparse PCA to community detection and sub-matrix localization. For probabilistic models in the Bayes optimal setting, general…

信息论 · 计算机科学 2018-12-07 Jean Barbier , Mohamad Dia , Nicolas Macris , Florent Krzakala , Lenka Zdeborová

In this paper, we study randomized methods for feedback design of uncertain systems. The first contribution is to derive the sample complexity of various constrained control problems. In particular, we show the key role played by the…

系统与控制 · 计算机科学 2014-07-22 T. Alamo , R. Tempo , A. Luque , D. R. Ramirez

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…

量子物理 · 物理学 2015-03-19 Maris Ozols , Martin Roetteler , Jérémie Roland

Nonprobability (convenience) samples are increasingly sought to stabilize estimations for one or more population variables of interest that are performed using a randomized survey (reference) sample by increasing the effective sample size.…

We show how a simple scheme of symbolic dynamics distinguishes a chaotic from a random time series and how it can be used to detect structural relationships in coupled dynamics. This is relevant for the question at which scale in complex…

混沌动力学 · 物理学 2009-10-26 Fatihcan Atay , Sarika Jalan , Jürgen Jost

In the study of natural and artificial complex systems, responses that are not completely determined by the considered decision variables are commonly modelled probabilistically, resulting in response distributions varying across decision…

统计方法学 · 统计学 2021-10-07 Athénaïs Gautier , David Ginsbourger , Guillaume Pirot

The availability of data sets with large numbers of variables is rapidly increasing. The effective application of Bayesian variable selection methods for regression with these data sets has proved difficult since available Markov chain…

统计计算 · 统计学 2019-05-08 Jim Griffin , Krys Latuszynski , Mark Steel

The sequential sampling of populations with unequal probabilities and with replacement in a closed population is a recurrent problem in ecology and evolution. Many of these questions can be reformulated as urn problems, often as special…

We consider the problem of inferring a latent function in a probabilistic model of data. When dependencies of the latent function are specified by a Gaussian process and the data likelihood is complex, efficient computation often involve…

机器学习 · 统计学 2018-07-23 Martin Tegner , Benjamin Bloem-Reddy , Stephen Roberts

Addressing selection bias in latent variable causal discovery is important yet underexplored, largely due to a lack of suitable statistical tools: While various tools beyond basic conditional independencies have been developed to handle…

机器学习 · 计算机科学 2025-12-15 Haoyue Dai , Yiwen Qiu , Ignavier Ng , Xinshuai Dong , Peter Spirtes , Kun Zhang