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Decision making for dynamic systems is challenging due to the scale and dynamicity of such systems, and it is comprised of decisions at strategic, tactical, and operational levels. One of the most important aspects of decision making is…

Applications · Statistics 2019-11-12 Sara Masoud , Bijoy Chowdhury , Young-Jun Son , Russell Tronstad

There have been a number of recent proposals to enhance the performance of machine learning strategies for collider physics by combining many distinct events into a single ensemble feature. To evaluate the efficacy of these proposals, we…

Data Analysis, Statistics and Probability · Physics 2021-06-23 Benjamin Nachman , Jesse Thaler

Few-shot algorithms aim at learning new tasks provided only a handful of training examples. In this work we investigate few-shot learning in the setting where the data points are sequences of tokens and propose an efficient learning…

Machine Learning · Computer Science 2020-12-18 Lajanugen Logeswaran , Ann Lee , Myle Ott , Honglak Lee , Marc'Aurelio Ranzato , Arthur Szlam

This paper introduces an adaptive time splitting technique for the solution of stiff evolutionary PDEs that guarantees an effective error control of the simulation, independent of the fastest physical time scale for highly unsteady…

Numerical Analysis · Mathematics 2012-04-10 Stéphane Descombes , Max Duarte , Thierry Dumont , Violaine Louvet , Marc Massot

In this paper, we introduce a new approach for integrating score-based models with the Metropolis-Hastings algorithm. While traditional score-based diffusion models excel in accurately learning the score function from data points, they lack…

Machine Learning · Computer Science 2025-04-01 Ahmed Aloui , Ali Hasan , Juncheng Dong , Zihao Wu , Vahid Tarokh

In the fields of control theory and machine learning, the dynamic low-rank approximation for large-scale matrices has received substantial attention. Considering large-scale semilinear stiff matrix differential equations, we propose…

Numerical Analysis · Mathematics 2025-10-14 Zi Wu , Yong-Liang Zhao , Xian-Ming Gu

In the infectious disease literature, significant effort has been devoted to studying dynamics at a single scale. For example, compartmental models describing population-level dynamics are often formulated using differential equations. In…

Populations and Evolution · Quantitative Biology 2025-04-16 Yuan Yin , Jennifer A. Flegg , Mark B. Flegg

Automated Vehicle (AV) validation based on simulated testing requires unbiased evaluation and high efficiency. One effective solution is to increase the exposure to risky rare events while reweighting the probability measure. However,…

Machine Learning · Computer Science 2024-09-25 Yichun Ye , He Zhang , Ye Tian , Jian Sun , Karl Meinke

The average time between two occurrences of the same event, referred to as its return time (or return period), is a useful statistical concept for practical applications. For instance insurances or public agency may be interested by the…

Statistical Mechanics · Physics 2020-03-13 Thibault Lestang , Francesco Ragone , Charles-Edouard Bréhier , Corentin Herbert , Freddy Bouchet

We establish an abstract, effective, exponential large deviations type estimate for Markov systems satisfying a weaker form of mixing. We employ this result to derive such estimates, as well as a central limit theorem, for the skew product…

Dynamical Systems · Mathematics 2025-07-17 Ao Cai , Pedro Duarte , Silvius Klein

In this work, we investigated the application of score-based gradient learning in discriminative and generative classification settings. Score function can be used to characterize data distribution as an alternative to density. It can be…

Machine Learning · Computer Science 2022-07-25 Yongchao Huang

This paper proposes a novel learning method for a mixture of recurrent neural network (RNN) experts model, which can acquire the ability to generate desired sequences by dynamically switching between experts. Our method is based on maximum…

Adaptation and Self-Organizing Systems · Physics 2008-06-17 Jun Namikawa , Jun Tani

Herein we suggest a mobile robot-training algorithm that is based on the preference approximation of the decision taker who controls the robot, which in its turn is managed by the Markov chain. Setup of the model parameters is made on the…

Robotics · Computer Science 2015-09-07 Valery Vilisov

Reinforcement learning algorithms are commonly analyzed (and designed) under the Markov assumption. This is unrealistic, as most environments encountered in practice are either partially observable, or require function approximation that…

Machine Learning · Computer Science 2026-05-28 Onno Eberhard , Claire Vernade , Michael Muehlebach

We present an algorithm that can efficiently compute a broad class of inferences for discrete-time imprecise Markov chains, a generalised type of Markov chains that allows one to take into account partially specified probabilities and other…

Probability · Mathematics 2019-07-02 Natan T'Joens , Thomas Krak , Jasper De Bock , Gert de Cooman

In this paper we develop a methodology that we call split sampling methods to estimate high dimensional expectations and rare event probabilities. Split sampling uses an auxiliary variable MCMC simulation and expresses the expectation of…

Computation · Statistics 2013-11-04 John R. Birge , Changgee Chang , Nicholas G. Polson

Attention control is a key cognitive ability for humans to select information relevant to the current task. This paper develops a computational model of attention and an algorithm for attention-based probabilistic planning in Markov…

Robotics · Computer Science 2020-12-02 Haoxiang Ma , Jie Fu

We present a method to probe rare molecular dynamics trajectories directly using reinforcement learning. We consider trajectories that are conditioned to transition between regions of configuration space in finite time, like those relevant…

Statistical Mechanics · Physics 2022-01-07 Avishek Das , Dominic C. Rose , Juan P. Garrahan , David T. Limmer

Chance-constrained optimization is a suitable modeling framework for safety-critical applications where violating constraints is nearly unacceptable. The scenario approach is a popular solution method for these problems, due to its…

Optimization and Control · Mathematics 2026-03-19 Jaeseok Choi , Anand Deo , Constantino Lagoa , Anirudh Subramanyam

Differential evolution is one of the most prestigious population-based stochastic optimization algorithm for black-box problems. The performance of a differential evolution algorithm depends highly on its mutation and crossover strategy and…

Neural and Evolutionary Computing · Computer Science 2021-02-09 Jianyong Sun , Xin Liu , Thomas Bäck , Zongben Xu
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