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Entropy-regularized optimal transport, which has strong links to the Schr\"odinger bridge problem in statistical mechanics, enjoys a variety of applications from trajectory inference to generative modeling. A major driver of renewed…

机器学习 · 统计学 2026-01-27 Anand Srinivasan , Jean-Jacques Slotine

We consider an evolving system for which a sequence of observations is being made, with each observation revealing additional information about current and past states of the system. We suppose each observation is made without error, but…

统计计算 · 统计学 2021-03-10 Valentina Di Marco , Jonathan Keith

We use extreme value theory to estimate the probability of successive exceedances of a threshold value of a time-series of an observable on several classes of chaotic dynamical systems. The observables have either a Fr\'echet (fat-tailed)…

动力系统 · 数学 2023-11-07 Meagan Carney , Mark Holland , Matthew Nicol , Phuong Tran

Deep within the networks of distributed systems, one often finds anomalies that affect their efficiency and performance. These anomalies are difficult to detect because the distributed systems may not have sufficient sensors to monitor the…

计算机与社会 · 计算机科学 2014-12-09 Freddy Chong Tat Chua , Ee-Peng Lim , Bernardo A. Huberman

Environmental disasters such as flash floods are becoming more and more prevalent and carry an increasing burden on human civilization. They are usually unpredictable, fast in development, and extend across large geographical areas. The…

系统与控制 · 电气工程与系统科学 2020-10-30 Kun Qian , Christian G. Claudel

A wide range of decision problems can be formulated as bilevel programs with independent followers, which as a special case include two-stage stochastic programs. These problems are notoriously difficult to solve especially when a large…

最优化与控制 · 数学 2025-09-25 Timothy C. Y. Chan , Bo Lin , Shoshanna Saxe

Influence maximization in networks is a central problem in machine learning and causal inference, where an intervention on a subset of individuals triggers a diffusion process through the network. Existing approaches typically optimize…

统计方法学 · 统计学 2026-03-13 Renjie Cao , Zhuoxin Yan , Xinyan Su , Zhiheng Zhang

We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

统计方法学 · 统计学 2018-05-01 Hao Chen

The increasing installation of controllable Distributed Energy Resources (DERs) in Distribution Networks (DNs) opens up new opportunities for the provision of ancillary services to the Transmission Network (TN) level. As the penetration of…

最优化与控制 · 数学 2020-06-30 Stavros Karagiannopoulos , Costas Mylonas , Petros Aristidou , Gabriela Hug

We explore the dependence structure in the sampled sequence of large networks. We consider randomized algorithms to sample the nodes and study extremal properties in any associated stationary sequence of characteristics of interest like…

社会与信息网络 · 计算机科学 2015-02-25 Konstantin Avrachenkov , Natalia M. Markovich , Jithin K. Sreedharan

Water supplies are crucial for the development of living beings. However, change in the hydrological process i.e. climate and land usage are the key issues. Sustaining water level and accurate estimating for dynamic conditions is a critical…

神经与进化计算 · 计算机科学 2019-06-27 Sadaqat ur Rehman , Zhongliang Yang , Muhammad Shahid , Nan Wei , Yongfeng Huang , Muhammad Waqas , Shanshan Tu , Obaid ur Rehman

Extreme events gain the attention of researchers due to their utmost importance in various contexts ranging from finance to climatology. This brings such recurrent events to the limelight of attention in interdisciplinary research. A…

数据分析、统计与概率 · 物理学 2022-05-18 Sayantan Nag Chowdhury , Arnob Ray , Syamal K. Dana , Dibakar Ghosh

Projections of extreme sea levels (ESLs) are critical for managing coastal risks, but are made complicated by deep uncertainties. One key uncertainty is the choice of model structure used to estimate coastal hazards. Differences in model…

数据分析、统计与概率 · 物理学 2020-06-15 Tony E. Wong , Travis Torline , Mingxuan Zhang

We study the numerical solution of nonlinear partially observed optimal stopping problems. The system state is taken to be a multi-dimensional diffusion and drives the drift of the observation process, which is another multi-dimensional…

最优化与控制 · 数学 2010-01-20 Mike Ludkovski

In this paper, we propose a risk-based data-driven approach to optimal power flow (DROPF) with dynamic line rating. The risk terms, including penalties for load shedding, wind generation curtailment and line overload, are embedded into the…

最优化与控制 · 数学 2017-12-22 Cheng Wang , Rui Gao , Feng Qiu , Jianhui Wang , Linwei Xin

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

统计方法学 · 统计学 2012-03-13 B. D. Youngman

Feedback control algorithms traditionally rely on periodic execution on digital platforms. While this simplifies design and analysis, it often leads to inefficient resource usage (e.g., CPU, network bandwidth) in embedded control and shared…

系统与控制 · 电气工程与系统科学 2025-11-04 Abbas Tariverdi

Optimal design facilitates intelligent data collection. In this paper, we introduce a fully Bayesian design approach for spatial processes with complex covariance structures, like those typically exhibited in natural ecosystems. Coordinate…

This paper investigates sensor scheduling for state estimation of complex networks over shared transmission channels. For a complex network of dynamical systems, referred to as nodes, a sensor network is adopted to measure and estimate the…

系统与控制 · 电气工程与系统科学 2023-01-12 Peihu Duan , Lidong He , Lingying Huang , Guanrong Chen , Ling Shi

The configuration model is a cornerstone of statistical assessment of network structure. While the Chung-Lu model is among the most widely used configuration models, it systematically oversamples edges between large-degree nodes, leading to…

社会与信息网络 · 计算机科学 2025-10-23 Xuanchi Li , Xin Wang , Sadamori Kojaku