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Physical systems are modelled and investigated within simulation software in an increasing range of applications. In reality an investigation of the system is often performed by empirical test scenarios which are related to typical…

Machine Learning · Statistics 2018-10-05 Dirk Surmann , Uwe Ligges , Claus Weihs

Selecting the optimal recommender via online exploration-exploitation is catching increasing attention where the traditional A/B testing can be slow and costly, and offline evaluations are prone to the bias of history data. Finding the…

Information Retrieval · Computer Science 2022-03-29 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan

We state a sufficient condition for a fusion system to be saturated. This is then used to investigate localities with kernels, i.e. localities which are (in a particular way) extensions of groups by localities. As an application of these…

Group Theory · Mathematics 2022-08-17 Valentina Grazian , Ellen Henke

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

Optimization and Control · Mathematics 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

Generalized linear models (GLMs) have been used widely for modelling the mean response both for discrete and continuous random variables with an emphasis on categorical response. Recently Yang, Mandal and Majumdar (2013) considered full…

Statistics Theory · Mathematics 2013-05-06 Jie Yang , Abhyuday Mandal

In this short paper, we describe an efficient numerical solver for the optimal sampling problem considered in "Designing Sampling Schemes for Multi-Dimensional Data". An implementation may be found on…

Signal Processing · Electrical Eng. & Systems 2021-11-11 Filip Elvander , Johan Swärd , Andreas Jakobsson

We introduce an approach to inferring the causal architecture of stochastic dynamical systems that extends rate distortion theory to use causal shielding---a natural principle of learning. We study two distinct cases of causal inference:…

Information Theory · Computer Science 2010-08-23 Susanne Still , James P. Crutchfield , Christopher J. Ellison

In this paper, we derive optimality results for greedy Bayesian-network search algorithms that perform single-edge modifications at each step and use asymptotically consistent scoring criteria. Our results extend those of Meek (1997) and…

Artificial Intelligence · Computer Science 2013-01-07 David Maxwell Chickering , Christopher Meek

A/B test, a simple type of controlled experiment, refers to the statistical procedure of experimenting to compare two treatments applied to test subjects. For example, many IT companies frequently conduct A/B tests on their users who are…

Methodology · Statistics 2026-05-12 Qiong Zhang , Lulu Kang

The goal of this thesis is to advance the exploration of the statistical language learning design space. In pursuit of that goal, the thesis makes two main theoretical contributions: (i) it identifies a new class of designs by specifying an…

cmp-lg · Computer Science 2008-02-03 Mark Lauer

Systems with both quantitative and qualitative responses are widely encountered in many applications. Design of experiment methods are needed when experiments are conducted to study such systems. Classic experimental design methods are…

Methodology · Statistics 2023-04-24 Lulu Kang , Xinwei Deng , Ran Jin

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

In this experience report, we apply deep active learning to the field of design optimization to reduce the number of computationally expensive numerical simulations. We are interested in optimizing the design of structural components, where…

Machine Learning · Computer Science 2024-03-21 Jens Decke , Christian Gruhl , Lukas Rauch , Bernhard Sick

We characterize the identified sets of a wide range of stochastic choice models, including random utility, various models of boundedly-rational behavior, and dynamic discrete choice. In each of these settings, we show two distributions over…

Theoretical Economics · Economics 2026-02-24 Peter Caradonna , Christopher Turansick

This paper presents a new and efficient method for the construction of optimal designs for regression models with dependent error processes. In contrast to most of the work in this field, which starts with a model for a finite number of…

Methodology · Statistics 2015-11-06 Holger Dette , Maria Konstantinou , Anatoly Zhigljavsky

A systematic study is carried out regarding universally optimal designs under the interference model, previously investigated by Kunert and Martin [Ann. Statist. 28 (2000) 1728-1742] and Kunert and Mersmann [J. Statist. Plann. Inference 141…

Statistics Theory · Mathematics 2015-04-06 Wei Zheng

We examine a fundamental problem that models various active sampling setups, such as network tomography. We analyze sampling of a multivariate normal distribution with an unknown expectation that needs to be estimated: in our setup it is…

Machine Learning · Statistics 2012-08-14 Assaf Hallak , Shie Mannor

We study the averaging-based distributed optimization solvers over random networks. We show a general result on the convergence of such schemes using weight-matrices that are row-stochastic almost surely and column-stochastic in expectation…

Optimization and Control · Mathematics 2020-10-06 Adel Aghajan , Behrouz Touri

We have established the method of characterizing the unitary design generated by a symmetric local random circuit. Concretely, we have shown that the necessary and sufficient condition for the circuit asymptotically forming a t-design is…

Quantum Physics · Physics 2025-05-12 Yosuke Mitsuhashi , Ryotaro Suzuki , Tomohiro Soejima , Nobuyuki Yoshioka

The paper aims at the development of an apparatus for analysis and construction of near optimal solutions of singularly perturbed (SP) optimal controls problems (that is, problems of optimal control of SP systems) considered on the infinite…

Optimization and Control · Mathematics 2014-08-20 Vladimir Gaitsgory , Sergei Rossomakhine