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We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

最优化与控制 · 数学 2019-05-28 Lukáš Adam , Martin Branda

Robust estimation is much more challenging in high dimensions than it is in one dimension: Most techniques either lead to intractable optimization problems or estimators that can tolerate only a tiny fraction of errors. Recent work in…

机器学习 · 计算机科学 2018-03-14 Ilias Diakonikolas , Gautam Kamath , Daniel M. Kane , Jerry Li , Ankur Moitra , Alistair Stewart

Procedures in assessing the impact of serial dependency on performance analysis are usually built on parametrically specified models. In this paper, we propose a robust, nonparametric approach to carry out this assessment, by computing the…

统计方法学 · 统计学 2016-06-22 Henry Lam

Any performance analysis based on stochastic simulation is subject to the errors inherent in misspecifying the modeling assumptions, particularly the input distributions. In situations with little support from data, we investigate the use…

概率论 · 数学 2018-04-12 Soumyadip Ghosh , Henry Lam

This paper presents a sensitivity-based approach for the placement of distributed energy resources (DERs) in power systems. The approach is based on the fact that most planning studies utilize some form of optimization, and solutions to…

系统与控制 · 电气工程与系统科学 2020-09-08 Mukesh Gautam , Narayan Bhusal , Mohammed Benidris , Chanan Singh , Joydeep Mitra

We study optimal conformity measures for various criteria of efficiency of classification in an idealised setting. This leads to an important class of criteria of efficiency that we call probabilistic; it turns out that the most standard…

机器学习 · 计算机科学 2016-09-15 Vladimir Vovk , Ilia Nouretdinov , Valentina Fedorova , Ivan Petej , Alex Gammerman

The doubly robust estimator, which models both the propensity score and outcomes, is a popular approach to estimate the average treatment effect in the potential outcome setting. The primary appeal of this estimator is its theoretical…

统计方法学 · 统计学 2024-09-11 Kaoru Babasaki , Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn

Aiming at analyzing performance in cloud computing, some unpredictable perturbations which may lead to performance downgrade are essential factors that should not be neglected. To avoid performance downgrade in cloud computing system, it is…

分布式、并行与集群计算 · 计算机科学 2023-11-30 Jiaxin Zhou , Siyi Chen , Haiyang Kuang

Many conventional statistical procedures are extremely sensitive to seemingly minor deviations from modeling assumptions. This problem is exacerbated in modern high-dimensional settings, where the problem dimension can grow with and…

机器学习 · 统计学 2017-02-27 Simon S. Du , Sivaraman Balakrishnan , Aarti Singh

In this work, we propose a new estimation method of a Structural Equation Model. Our method is based on the EM likelihood-maximization algorithm. We show that this method provides estimators, not only of the coefficients of the model, but…

统计理论 · 数学 2015-10-02 Xavier Bry , Christian Lavergne , Myriam Tami

Energy systems resilience is becoming increasingly important as the frequency of major grid outages increases. In this work, we present a methodology to optimize a behind-the-meter distributed energy resource system to sustain a site's…

系统与控制 · 电气工程与系统科学 2021-06-29 Sakshi Mishra , Kate Anderson

Specifying a proper input distribution is often a challenging task in simulation modeling. In practice, there may be multiple plausible distributions that can fit the input data reasonably well, especially when the data volume is not large.…

统计方法学 · 统计学 2019-03-15 Weiwei Fan , L. Jeff Hong , Xiaowei Zhang

Beyond their impressive sampling capabilities, score-based diffusion models offer a powerful analysis tool in the form of unbiased density estimation of a query sample under the training data distribution. In this work, we investigate the…

机器学习 · 计算机科学 2023-10-12 Marius Arvinte , Cory Cornelius , Jason Martin , Nageen Himayat

In this paper we investigate the convergence of the Policy Iteration Algorithm (PIA) for a class of general continuous-time entropy-regularized stochastic control problems. In particular, instead of employing sophisticated PDE estimates for…

最优化与控制 · 数学 2025-04-24 Jin Ma , Gaozhan Wang , Jianfeng Zhang

Stochastic and (distributionally) robust optimization problems often become computationally challenging as the number of scenarios or data points increases. Scenario reduction is therefore a key technique for improving tractability. We…

最优化与控制 · 数学 2026-03-10 Kevin-Martin Aigner , Sebastian Denzler , Frauke Liers , Sebastian Pokutta , Kartikey Sharma

When comparing performance (of products, services, entities, etc.), multiple attributes are involved. This paper deals with a way of weighting these attributes when one is seeking an overall score. It presents an objective approach to…

统计方法学 · 统计学 2024-09-04 Chris Tofallis

Discriminant analysis (DA) is one of the most popular methods for classification due to its conceptual simplicity, low computational cost, and often solid performance. In its standard form, DA uses the arithmetic mean and sample covariance…

统计方法学 · 统计学 2026-05-12 Mia Hubert , Jakob Raymaekers , Peter J. Rousseeuw

Good robust estimators can be tuned to combine a high breakdown point and a specified asymptotic efficiency at a central model. This happens in regression with MM- and tau-estimators among others. However, the finite-sample efficiency of…

统计理论 · 数学 2013-11-21 Ricardo Maronna , Víctor Yohai

Solving linear diophantine equations in two variables have applications in computer science and mathematics. In this paper, we revisit an algorithm for solving linear diophantine equations in two variables, which we refer as DEA-R…

数据结构与算法 · 计算机科学 2025-08-01 Mayank Deora , Pinakpani Pal

Probabilistic solvers provide a flexible and efficient framework for simulation, uncertainty quantification, and inference in dynamical systems. However, like standard solvers, they suffer performance penalties for certain stiff systems,…

数值分析 · 数学 2023-12-20 Nathanael Bosch , Philipp Hennig , Filip Tronarp