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Sequential Monte Carlo (SMC) is a class of algorithms that approximate high-dimensional expectations of a Markov chain. SMC algorithms typically include a resampling step. There are many possible ways to resample, but the relative…

Numerical Analysis · Mathematics 2019-04-01 Robert J. Webber

With the advancement in generative language models, the selection of prompts has gained significant attention in recent years. A prompt is an instruction or description provided by the user, serving as a guide for the generative language…

Machine Learning · Statistics 2024-05-21 Haoting Zhang , Jinghai He , Rhonda Righter , Zeyu Zheng

Stock and flow diagrams are already an important tool in epidemiology, but category theory lets us go further and treat these diagrams as mathematical entities in their own right. In this chapter we use communicable disease models created…

Logic in Computer Science · Computer Science 2024-12-12 John C. Baez , Xiaoyan Li , Sophie Libkind , Nathaniel D. Osgood , Eric Redekopp

AnyMOD.jl is a Julia framework for creating large-scale energy system models with multiple periods of capacity expansion. It applies a novel graphbased approach that was developed to address the challenges in modeling high levels of…

Physics and Society · Physics 2022-12-21 Leonard Göke

Large Language Models (LLMs) are becoming ubiquitous to create intelligent virtual assistants that assist users in interacting with a system, as exemplified in marketing. Although LLMs have been discussed in Modeling & Simulation (M&S), the…

Human-Computer Interaction · Computer Science 2024-09-25 Philippe J. Giabbanelli , Jose J. Padilla , Ameeta Agrawal

\textit{Background:} The use of large language models in software testing is growing fast as they support numerous tasks, from test case generation to automation, and documentation. However, their adoption often relies on informal…

Software Engineering · Computer Science 2025-10-21 Maria Deolinda Santana , Cleyton Magalhaes , Ronnie de Souza Santos

Molecular dynamics simulations hold great promise for providing insight into the microscopic behavior of complex molecular systems. However, their effectiveness is often constrained by long timescales associated with rare events. Enhanced…

Computational Physics · Physics 2026-03-03 Kai Zhu , Enrico Trizio , Jintu Zhang , Renling Hu , Linlong Jiang , Tingjun Hou , Luigi Bonati

Quantum circuits that generate coherent superpositions of stochastic processes are key to many downstream quantum-accelerated tasks, such as risk analysis, importance sampling, and DNA sequencing. However, traditional methods for designing…

Quantum Physics · Physics 2026-03-26 Ximing Wang , Chengran Yang , Chidambaram Aditya Somasundaram , Jayne Thompson , Mile Gu

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

Populations and Evolution · Quantitative Biology 2018-12-24 Florian Hartig

State Space Models (SSM) is a MATLAB 7.0 software toolbox for doing time series analysis by state space methods. The software features fully interactive construction and combination of models, with support for univariate and multivariate…

Computation · Statistics 2007-06-26 Jyh-Ying Peng , John A. D. Aston

Consider $K$ processes, each generating a sequence of identical and independent random variables. The probability measures of these processes have random parameters that must be estimated. Specifically, they share a parameter $\theta$…

Machine Learning · Computer Science 2022-10-12 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das

Structural equation modeling (SEM) is a popular tool in the social and behavioural sciences, where it is being applied to ever more complex data types. The high-dimensional data produced by modern sensors, brain images, or (epi)genetic…

Methodology · Statistics 2019-10-11 Erik-Jan van Kesteren , Daniel L. Oberski

Reward Models (RMs) are key components for evaluating and guiding language model outputs. However, traditional scalar RMs often struggle with incorporating contextual and background information during inference, leading to incomplete…

Artificial Intelligence · Computer Science 2025-10-07 Xiaoyu Liu , Di Liang , Chang Dai , Hongyu Shan , Peiyang Liu , Yonghao Liu , Muling Wu , Yuntao Li , Xianjie Wu , LI Miao , Jiangrong Shen , Minlong Peng

We describe a package realized in the Julia programming language which performs symbolic manipulations applied to nonlinear evolution equations, their flows, and commutators of such objects. This tool was employed to perform contrived…

Numerical Analysis · Mathematics 2016-05-03 Winfried Auzinger , Harald Hofstaetter , Othmar Koch

Sum-product networks (SPNs) have recently emerged as a novel deep learning architecture enabling highly efficient probabilistic inference. Since their introduction, SPNs have been applied to a wide range of data modalities and extended to…

Machine Learning · Computer Science 2022-11-15 Adam Dejl , Harsh Deep , Jonathan Fei , Ardavan Saeedi , Li-wei H. Lehman

Simulation-based probabilistic risk assessment (SPRA) is a systematic and comprehensive methodology that has been used and refined over the past few decades to evaluate the risks associated with complex systems. SPRA models are well…

Systems and Control · Electrical Eng. & Systems 2022-07-27 Tarannom Parhizkar

Many recently introduced enhanced sampling techniques are based on biasing coarse descriptors (collective variables) of a molecular system on the fly. Sometimes the calculation of such collective variables is expensive and becomes a…

Computational Physics · Physics 2015-09-01 Marco Jacopo Ferrarotti , Sandro Bottaro , Andrea Pérez-Villa , Giovanni Bussi

When modeling such phenomena as population dynamics, controllable ows, etc., a problem arises of adapting the existing models to a phenomenon under study. For this purpose, we propose to derive new models from the rst principles by…

Symbolic Computation · Computer Science 2018-05-09 D. S. Kulyabov , M. N. Gevorkyan , A. V. Demidova , T. R. Velieva , A. V. Korolkova , L. A. Sevastianov

In the nonlinear timeseries analysis literature, countless quantities have been presented as new ``entropy'' or ``complexity'' measures, often with similar roles. The ever-increasing pool of such measures makes creating a sustainable and…

Software Engineering · Computer Science 2025-09-25 George Datseris , Kristian Agasøster Haaga

This paper focuses on extending the success of large language models (LLMs) to sequential decision making. Existing efforts either (i) re-train or finetune LLMs for decision making, or (ii) design prompts for pretrained LLMs. The former…

Machine Learning · Computer Science 2025-06-17 Dingyang Chen , Qi Zhang , Yinglun Zhu