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The proposed stochastic model for pedestrian dynamics is based on existing approaches using cellular automata, combined with substantial extensions, to compensate the deficiencies resulting of the discrete grid structure. This agent motion…

物理与社会 · 物理学 2021-04-01 Michael Schultz

Temporal sequences have become pervasive in various real-world applications. Consequently, the volume of data generated in the form of continuous time-event sequence(s) or CTES(s) has increased exponentially in the past few years. Thus, a…

机器学习 · 计算机科学 2023-07-20 Vinayak Gupta , Srikanta Bedathur , Abir De

We propose a new stochastic model for biological neural nets which is a continuous time version of the model proposed by Galves and L\"ocherbach in [A. Galves and E. L\"ocherbach, "Infinite systems of interacting chains with memory of…

概率论 · 数学 2015-07-24 Leonardo Nagami Coregliano

Speech-to-text alignment is a critical component of neural text to speech (TTS) models. Autoregressive TTS models typically use an attention mechanism to learn these alignments on-line, while non-autoregressive end to end TTS models rely on…

声音 · 计算机科学 2025-09-01 Junjie Cao

Neural marked temporal point processes have been a valuable addition to the existing toolbox of statistical parametric models for continuous-time event data. These models are useful for sequences where each event is associated with a single…

机器学习 · 计算机科学 2024-03-20 Yuxin Chang , Alex Boyd , Padhraic Smyth

The measurement of $B_s$-meson branching fractions is a fundamental tool to probe physics beyond the Standard Model. Every measurement of untagged time-integrated $B_s$-meson branching fractions is model-dependent due to the time dependence…

高能物理 - 唯象学 · 物理学 2018-08-01 Francesco Dettori , Diego Guadagnoli

Estimating the entropy rate of discrete time series is a challenging problem with important applications in numerous areas including neuroscience, genomics, image processing and natural language processing. A number of approaches have been…

统计方法学 · 统计学 2023-03-22 Ioannis Papageorgiou , Ioannis Kontoyiannis

Due to its broad applications in practice, the minimum spanning tree problem and its all kinds of variations have been studied extensively during the last decades, for which a host of efficient exact and heuristic algorithms have been…

最优化与控制 · 数学 2026-05-05 Yang Xu , Lianmin Zhang

In this paper we present the concept of description of random processes in complex systems with the discrete time. It involves the description of kinetics of discrete processes by means of the chain of finite-difference non-Markov equations…

统计力学 · 物理学 2009-10-31 Renat Yulmetyev , Reter Hanggi , Fail Gafarov

We prove a general existence result in stochastic optimal control in discrete time where controls take values in conditional metric spaces, and depend on the current state and the information of past decisions through the evolution of a…

最优化与控制 · 数学 2018-12-19 Asgar Jamneshan , Michael Kupper , José Miguel Zapata

Strong Branching (SB) is a cornerstone of all modern branching rules used in the Branch-and-Bound (BnB) algorithm, which is at the center of Mixed-Integer Programming solvers. In its full form, SB evaluates all variables to branch on and…

最优化与控制 · 数学 2024-04-08 Gioni Mexi , Somayeh Shamsi , Mathieu Besançon , Pierre Le Bodic

Spatial-temporal causal time series (STC-TS) involve region-specific temporal observations driven by causally relevant covariates and interconnected across geographic or network-based spaces. Existing methods often model spatial and…

机器学习 · 计算机科学 2025-11-13 Yang Yang , Du Yin , Hao Xue , Flora Salim

We introduce for the first time a neural-certificate framework for continuous-time stochastic dynamical systems. Autonomous learning systems in the physical world demand continuous-time reasoning, yet existing learnable certificates for…

系统与控制 · 电气工程与系统科学 2025-09-01 Grigory Neustroev , Mirco Giacobbe , Anna Lukina

Representations of sequential data are commonly based on the assumption that observed sequences are realizations of an unknown underlying stochastic process, where the learning problem includes determination of the model parameters. In this…

机器学习 · 统计学 2019-09-17 Ronny Hug , Wolfgang Hübner , Michael Arens

This article introduces a flexible and adaptive nonparametric method for estimating the association between multiple covariates and power spectra of multiple time series. The proposed approach uses a Bayesian sum of trees model to capture…

统计方法学 · 统计学 2021-10-01 Yakun Wang , Zeda Li , Scott A. Bruce

Stochastic differential equations (SDEs) are a staple of mathematical modelling of temporal dynamics. However, a fundamental limitation has been that such models have typically been relatively inflexible, which recent work introducing…

机器学习 · 计算机科学 2021-05-12 Patrick Kidger , James Foster , Xuechen Li , Harald Oberhauser , Terry Lyons

Dynamical systems are essential to model various phenomena in physics, finance, economics, and are also of current interest in machine learning. A central modeling task is investigating parameter sensitivity, whether tuning atmospheric…

数值分析 · 数学 2026-01-14 Rishi Leburu , Levon Nurbekyan , Lars Ruthotto

By introducing the notions of living and dead nodes a new model of random tree evolution with continuous time parameter has been constructed. It is assumed that two random variables, the lifetime and the offspring number of living nodes…

统计力学 · 物理学 2007-05-23 L. Pal

Deep neural networks can be roughly divided into deterministic neural networks and stochastic neural networks.The former is usually trained to achieve a mapping from input space to output space via maximum likelihood estimation for the…

In the present paper, we studied a Dynamic Stochastic Block Model (DSBM) under the assumptions that the connection probabilities, as functions of time, are smooth and that at most $s$ nodes can switch their class memberships between two…

统计方法学 · 统计学 2017-05-04 Marianna Pensky , Teng Zhang