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Inverse design refers to the problem of optimizing the input of an objective function in order to enact a target outcome. For many real-world engineering problems, the objective function takes the form of a simulator that predicts how the…

We introduce the problem of Poisson sampling over joins: compute a sample of the result of a join query by conceptually performing a Bernoulli trial for each join tuple, using a non-uniform and tuple-specific probability. We propose an…

Databases · Computer Science 2026-03-17 Liese Bekkers , Frank Neven , Lorrens Pantelis , Stijn Vansummeren

This paper illustrates asymptotic properties for a response-adaptive design generated by a two-color, randomly reinforced urn model. The design considered is optimal in the sense that it assigns patients to the best treatment, with…

Statistics Theory · Mathematics 2009-04-03 Caterina May , Nancy Flournoy

This paper considers multiple extended object tracking based on Poisson multi-Bernoulli mixture (PMBM) filtering, which gives the closed-form Bayesian solution for standard multiple extended object models with Poisson birth. To efficiently…

Methodology · Statistics 2026-04-28 Yuxuan Xia , Ángel F. García-Fernández , Lennart Svensson

Non-Gaussian outcomes are often modeled using members of the so-called exponential family. Notorious members are the Bernoulli model for binary data, leading to logistic regression, and the Poisson model for count data, leading to Poisson…

This paper studies inference in randomized controlled trials with multiple treatments, where treatment status is determined according to a "matched tuples" design. Here, by a matched tuples design, we mean an experimental design where units…

Econometrics · Economics 2023-11-06 Yuehao Bai , Jizhou Liu , Max Tabord-Meehan

In a recent paper Dette et al. (2014) introduced optimal design problems for dose fnding studies with an active control. These authors concentrated on regression models with normal distributed errors (with known variance) and the problem of…

Methodology · Statistics 2014-11-03 Holger Dette , Katrin Kettelhake , Frank Bretz

We focus on the estimation of the intensity of a Poisson process in the presence of a uniform noise. We propose a kernel-based procedure fully calibrated in theory and practice. We show that our adaptive estimator is optimal from the oracle…

Methodology · Statistics 2022-06-29 Anna Bonnet , Claire Lacour , Franck Picard , Vincent Rivoirard

In the experimental design literature, Neyman allocation refers to the practice of allocating units into treated and control groups, potentially in unequal numbers proportional to their respective standard deviations, with the objective of…

Methodology · Statistics 2026-01-15 Jinglong Zhao

Generalized linear regressions, such as logistic regressions or Poisson regressions, are long-studied regression analysis approaches, and their applications are widely employed in various classification problems. Our study considers a…

Machine Learning · Statistics 2024-01-17 Vu Duc Anh , Tran Anh Tuan , Tran Ngoc Thang , Nguyen Thi Ngoc Anh

In this paper, we develop optimal designs for growth curve models with count data based on the Rasch Poisson-Gamma counts (RPGCM) model. This model is often used in educational and psychological testing when test results yield count data.…

Methodology · Statistics 2024-05-29 Parisa Parsamaram , Heinz Holling , Rainer Schwabe

Simulation-based optimal design techniques are a convenient tool for solving a particular class of optimal design problems. The goal is to find the optimal configuration of factor settings with respect to an expected utility criterion. This…

Methodology · Statistics 2013-05-21 Markus Hainy , Werner G. Müller , Helga Wagner

Generalized linear mixed models (GLMMs) are widely used in research for their ability to model correlated outcomes with non-Gaussian conditional distributions. The proper selection of fixed and random effects is a critical part of the…

Computation · Statistics 2024-04-18 Hillary M. Heiling , Naim U. Rashid , Quefeng Li , Joseph G. Ibrahim

Linear response theory has found many applications in statistical physics. One of these is to compute minimal-work protocols that drive nonequilibrium systems between different thermodynamic states, which are useful for designing engineered…

Statistical Mechanics · Physics 2026-01-19 Samuel. H. DAmbrosia , Adrianne Zhong , Michael R. DeWeese

Molecular design involves an enormous and irregular search space, where traditional optimizers such as Bayesian optimization, genetic algorithms, and generative models struggle to leverage expert knowledge or handle complex feedback.…

Machine Learning · Computer Science 2025-12-09 Nian Ran , Yue Wang , Xiaoyuan Zhang , Zhongzheng Li , Qingsong Ran , Wenhao Li , Richard Allmendinger

We propose a general design strategy based on genetic optimization to realize asymmetric reflectivity in periodic and non-periodic planar structures containing dielectric and gain-loss layers. By means of an optimization algorithm, it is…

Optics · Physics 2020-08-28 W. W. Ahmed , R. Herrero , M. Botey , Y. Wu , K. Staliunas

We consider the non-parametric Poisson regression problem where the integer valued response $Y$ is the realization of a Poisson random variable with parameter $\lambda(X)$. The aim is to estimate the functional parameter $\lambda$ from…

Statistics Theory · Mathematics 2018-05-14 Martin Kroll

Due to the rapid growth of data and computational resources, distributed optimization has become an active research area in recent years. While first-order methods seem to dominate the field, second-order methods are nevertheless attractive…

Machine Learning · Computer Science 2018-06-21 Celestine Dünner , Aurelien Lucchi , Matilde Gargiani , An Bian , Thomas Hofmann , Martin Jaggi

Generating novel graph structures that optimize given objectives while obeying some given underlying rules is fundamental for chemistry, biology and social science research. This is especially important in the task of molecular graph…

Machine Learning · Computer Science 2019-02-26 Jiaxuan You , Bowen Liu , Rex Ying , Vijay Pande , Jure Leskovec

We propose a distributed algorithm based on Alternating Direction Method of Multipliers (ADMM) to minimize the sum of locally known convex functions using communication over a network. This optimization problem emerges in many applications…

Optimization and Control · Mathematics 2016-01-05 Ali Makhdoumi , Asuman Ozdaglar