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The Poisson-Gamma model is a generalization of the Poisson model, which can be used for modelling count data. We show that the $D$-optimality criterion for the Poisson-Gamma model is equivalent to a combined weighted optimality criterion of…

统计理论 · 数学 2018-08-17 Marius Schmidt , Rainer Schwabe

Decision making algorithms are used in a multitude of different applications. Conventional approaches for designing decision algorithms employ principled and simplified modelling, based on which one can determine decisions via tractable…

信号处理 · 电气工程与系统科学 2022-06-23 Nir Shlezinger , Yonina C. Eldar , Stephen P. Boyd

In this two-part paper, we identify a broad class of decentralized output-feedback LQG systems for which the optimal control strategies have a simple intuitive estimation structure and can be computed efficiently. Roughly, we consider the…

系统与控制 · 计算机科学 2014-08-13 Ashutosh Nayyar , Laurent Lessard

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

统计理论 · 数学 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

The treatment assignment mechanism in a randomized clinical trial can be optimized for statistical efficiency within a specified class of randomization mechanisms. Optimal designs of this type have been characterized in terms of the…

统计方法学 · 统计学 2025-09-03 Wei Zhang , Zhiwei Zhang , Aiyi Liu

A comprehensive review of the literature on crossover design is needed to highlight its evolution, applications, and methodological advancements across various fields. Given its widespread use in clinical trials and other research domains,…

统计方法学 · 统计学 2024-10-14 Salil Koner

Language models achieve impressive performance on a variety of knowledge, language, and reasoning tasks due to the scale and diversity of pretraining data available. The standard training recipe is a two-stage paradigm: pretraining first on…

In this paper, we consider the optimal coordination of automated vehicles at intersections under fixed crossing orders. We formulate the problem using direct optimal control and exploit the structure to construct a semi-distributed…

系统与控制 · 电气工程与系统科学 2021-11-22 Robert Hult , Mario Zanon , Sebastien Gros , Paolo Falcone

We consider the problem of cooperative intersection management. It arises in automated transportation systems for people or goods but also in multi-robots environment. Therefore many solutions have been proposed to avoid collisions. The…

系统与控制 · 计算机科学 2013-10-30 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

In distributed learning, the goal is to perform a learning task over data distributed across multiple nodes with minimal (expensive) communication. Prior work (Daume III et al., 2012) proposes a general model that bounds the communication…

机器学习 · 计算机科学 2012-04-17 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

We provide a new approach to approximate emulation of large computer experiments. By focusing expressly on desirable properties of the predictive equations, we derive a family of local sequential design schemes that dynamically define the…

统计方法学 · 统计学 2014-10-13 Robert B. Gramacy , Daniel W. Apley

We consider dimensional crossover for an $O(N)$ Landau-Ginzburg-Wilson model on a $d$-dimensional film geometry of thickness $L$ in the large $N$-limit. We calculate the full universal crossover scaling forms for the free energy and the…

凝聚态物理 · 物理学 2009-10-28 Denjoe O'Connor , C. R. Stephens , A. J. Bray

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem.…

最优化与控制 · 数学 2012-09-18 Amir Noori

To increase the interpretability and prediction accuracy of the Machine Learning (ML) models, visualization of ML models is a key part of the ML process. Decision Trees (DTs) are essential in machine learning (ML) because they are used to…

机器学习 · 计算机科学 2023-05-31 Boris Kovalerchuk Andrew Dunn , Alex Worland , Sridevi Wagle

In transfer learning, the learner leverages auxiliary data to improve generalization on a main task. However, the precise theoretical understanding of when and how auxiliary data help remains incomplete. We provide new insights on this…

机器学习 · 计算机科学 2026-03-31 Meitong Liu , Christopher Jung , Rui Li , Xue Feng , Han Zhao

Quantitative assessment of the uncertainties tainting the results of computer simulations is nowadays a major topic of interest in both industrial and scientific communities. One of the key issues in such studies is to get information about…

统计理论 · 数学 2023-12-05 Guillaume Damblin , Mathieu Couplet , Bertrand Iooss

Traditional accelerated life test plans are typically based on optimizing the C-optimality for minimizing the variance of an interested quantile of the lifetime distribution. The traditional methods rely on some specified planning values…

应用统计 · 统计学 2018-12-04 Lu Lu , I-Chen Lee , Yili Hong

The generalized linear models (GLMs) are widely used in statistical analysis and the related design issues are undoubtedly challenging. The state-of-the-art works mostly apply to design criteria on the estimates of regression coefficients.…

统计方法学 · 统计学 2020-04-21 Yiou Li , Xinwei Deng

Among the major difficulties that one may encounter when estimating parameters in a nonlinear regression model are the nonuniqueness of the estimator, its instability with respect to small perturbations of the observations and the presence…

统计理论 · 数学 2014-08-29 Andrej Pázman , Luc Pronzato

In this paper, we propose an optimization framework to design a network of positive linear systems whose structure switches according to a Markov process. The optimization framework herein proposed allows the network designer to optimize…

最优化与控制 · 数学 2019-03-19 Masaki Ogura , Victor M. Preciado