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Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

Entropy-stable (ES) schemes have gained considerable attention over the last decade, especially in the context of turbulent flow simulations using high-order methods. While promising because of their nonlinear stability properties, ES…

Numerical Analysis · Mathematics 2018-11-26 Ayoub Gouasmi , Karthik Duraisamy , Scott Murman

Early Classification of Time Series (ECTS) addresses decision-making problems in which predictions must be made as early as possible while maintaining high accuracy. Most existing ECTS methods assume that the time-dependent decision costs…

Machine Learning · Computer Science 2026-04-06 Aurélien Renault , Alexis Bondu , Antoine Cornuéjols , Vincent Lemaire

Spatial interference (SI) occurs when the treatment at one location affects the outcomes at other locations. Accounting for spatial interference in spatiotemporal settings poses further challenges as interference violates the stable unit…

Machine Learning · Computer Science 2024-09-02 Sahara Ali , Omar Faruque , Jianwu Wang

Exploration in sparse reward environments remains a significant challenge in reinforcement learning, particularly in Contextual Markov Decision Processes (CMDPs), where environments differ across episodes. Existing episodic intrinsic…

Machine Learning · Computer Science 2025-01-28 Yuhua Jiang , Qihan Liu , Yiqin Yang , Xiaoteng Ma , Dianyu Zhong , Hao Hu , Jun Yang , Bin Liang , Bo Xu , Chongjie Zhang , Qianchuan Zhao

Temporal distribution shift (TDS) erodes the long-term accuracy of recommender systems, yet industrial practice still relies on periodic incremental training, which struggles to capture both stable and transient patterns. Existing…

Machine Learning · Computer Science 2025-11-27 Yuxuan Zhu , Cong Fu , Yabo Ni , Anxiang Zeng , Yuan Fang

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

Statistics Theory · Mathematics 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

The aim of this paper is to establish a causal link between the policies implemented by technology companies and the outcomes they yield within intricate temporal and/or spatial dependent experiments. We propose a novel…

Methodology · Statistics 2023-12-05 Shikai Luo , Ying Yang , Chengchun Shi , Fang Yao , Jieping Ye , Hongtu Zhu

Effective medium theory of transport in disordered systems, whose basis is the replacement of spatial disorder by temporal memory, is extended in several practical directions. Restricting attention to a 1-dimensional system with bond…

Statistical Mechanics · Physics 2009-11-13 V. M. Kenkre , Z. Kalay , P. E. Parris

'Causal' direction is of great importance when dealing with complex systems. Often big volumes of data in the form of time series are available and it is important to develop methods that can inform about possible causal connections between…

Statistical Mechanics · Physics 2014-01-24 Fatimah Abdul Razak , Henrik Jeldtoft Jensen

We study the problem of traffic forecasting, aiming to predict the inflow and outflow of a region in the subsequent time slot. The problem is complex due to the intricate spatial and temporal interdependence among regions. Prior works study…

Artificial Intelligence · Computer Science 2025-11-12 Zheng Chenghong , Zongyin Deng , Liu Cheng , Xiong Simin , Di Deshi , Li Guanyao

Entropy production is often interpreted as a proxy for microscopic disorder or environmental roughness in stochastic systems. We test this interpretation using controlled simulations of overdamped stochastic dynamics on curved surfaces in…

Statistical Mechanics · Physics 2026-02-23 Patrick Romanescu

In this work, we determine the full expression for the global truncation error of hyperbolic partial differential equations (PDEs). In particular, we use theoretical analysis and symbolic algebra to find exact expressions for the…

Numerical Analysis · Mathematics 2022-12-05 Siddhartha Bishnu , Mark Petersen , Bryan Quaife

Low-rank approximation using time-dependent bases (TDBs) has proven effective for reduced-order modeling of stochastic partial differential equations (SPDEs). In these techniques, the random field is decomposed to a set of deterministic…

Numerical Analysis · Mathematics 2022-11-08 Prerna Patil , Hessam Babaee

We find a new physical regime in the trapped Bose-Hubbard Hamiltonian using time-evolving block decimation. Between Mott-insulating and superfluid phases, the latter induced by trap compression, a spatially self-organized state appears in…

Quantum Gases · Physics 2009-06-26 Lincoln D. Carr , Markus K. Oberthaler

Air pollution and carbon emissions caused by modern transportation are closely related to global climate change. With the help of next-generation information technology such as Internet of Things (IoT) and Artificial Intelligence (AI),…

Machine Learning · Computer Science 2022-10-03 Wei Zhao , Shiqi Zhang , Bing Zhou , Bei Wang

A fourth-order finite volume embedded boundary (EB) method is presented for the unsteady Stokes equations. The algorithm represents complex geometries on a Cartesian grid using EB, employing a technique to mitigate the "small cut-cell"…

Numerical Analysis · Mathematics 2022-09-08 Nathaniel Overton-Katz , Xinfeng Gao , Stephen Guzik , Oscar Antepara , Daniel T. Graves , Hans Johansen

We introduce Targeted Smooth Bayesian Causal Forests (tsBCF), a nonparametric Bayesian approach for estimating heterogeneous treatment effects which vary smoothly over a single covariate in the observational data setting. The tsBCF method…

Spatial time series visualization offers scientific research pathways and analytical decision-making tools across various spatiotemporal domains. Despite many advanced methodologies, the seamless integration of temporal and spatial…

Human-Computer Interaction · Computer Science 2025-07-15 Zikun Deng , Jiabao Huang , Chenxi Ruan , Jialing Li , Shaowu Gao , Yi Cai

The physical design process of large-scale designs is a time-consuming task, often requiring hours to days to complete, with routing being the most critical and complex step. As the the complexity of Integrated Circuits (ICs) increases,…

Machine Learning · Computer Science 2023-08-02 Biao Liu , Congyu Qiao , Ning Xu , Xin Geng , Ziran Zhu , Jun Yang