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Various applications involve assigning discrete label values to a collection of objects based on some pairwise noisy data. Due to the discrete---and hence nonconvex---structure of the problem, computing the optimal assignment (e.g.~maximum…

Information Theory · Computer Science 2017-12-11 Yuxin Chen , Emmanuel Candes

Partial orders may be used for modeling and summarising ranking data when the underlying order relations are less strict than a total order. They are a natural choice when the data are lists recording individuals' positions in queues in…

Methodology · Statistics 2024-08-28 Chuxuan , Jiang , Geoff K. Nicholls

Group testing concerns itself with the accurate recovery of a set of "defective" items from a larger population via a series of tests. While most works in this area have considered the classical group testing model, where tests are binary…

Information Theory · Computer Science 2026-05-13 Daniel McMorrow , Nikhil Karamchandani , Sidharth Jaggi

We consider an experiment with at least two stages or batches and $O(N)$ subjects per batch. First, we propose a semiparametric treatment effect estimator that efficiently pools information across the batches, and show it asymptotically…

Methodology · Statistics 2023-09-28 Harrison H. Li , Art B. Owen

Adaptive sample size re-estimation, early stopping, and trial re-design at interim analyses can reduce expected sample sizes in randomised trials. Cluster randomised trials, in which groups of participants are randomly allocated to…

Methodology · Statistics 2026-03-09 Samuel I. Watson , James Martin

The orienteering problem (OP) is a combinatorial optimization problem that seeks a path visiting a subset of locations to maximize collected rewards under a limited resource budget. This article presents a systematic PRISMA-based review of…

Optimization and Control · Mathematics 2025-12-19 Songhao Shen , Yufeng Zhou , Qin Lei , Zhibin Wu

We investigate the impact of high-order moments on the learning dynamics of an online Independent Component Analysis (ICA) algorithm under a high-dimensional data model composed of a weighted sum of two non-Gaussian random variables. This…

Machine Learning · Statistics 2025-09-19 M. Oguzhan Gultekin , Samet Demir , Zafer Dogan

Randomized experiments have been the gold standard for assessing the effectiveness of a treatment or policy. The classical complete randomization approach assigns treatments based on a prespecified probability and may lead to inefficient…

Methodology · Statistics 2023-10-26 Waverly Wei , Xinwei Ma , Jingshen Wang

This paper introduces a problem in which the state of a system needs to be determined through costly tests of its components by a limited number of testing units and before a given deadline. We also consider a closely related search problem…

Discrete Mathematics · Computer Science 2021-01-15 Alessandro Agnetis , Ben Hermans , Roel Leus , Salim Rostami

Space filling designs are central to studying complex systems in various areas of science. They are used for obtaining an overall understanding of the behaviour of the response over the input space, model construction and uncertainty…

Methodology · Statistics 2016-08-10 Shirin Golchi , Jason L. Loeppky

Conventional multi-objective optimisation approaches (e.g., MOO-CP or MIP) fail in group decision-making by aggregating heterogeneous objectives without a valid preference foundation, producing Pareto sets instead of a unique actionable…

Optimization and Control · Mathematics 2026-03-20 A. R. M. Wolfert

Algorithmic fairness, and in particular the fairness of scoring and classification algorithms, has become a topic of increasing social concern and has recently witnessed an explosion of research in theoretical computer science, machine…

Machine Learning · Computer Science 2019-09-10 Cynthia Dwork , Christina Ilvento

Identifying optimal designs for generalized linear models with a binary response can be a challenging task, especially when there are both continuous and discrete independent factors in the model. Theoretical results rarely exist for such…

Applications · Statistics 2016-02-09 Joshua Lukemire , Abhyuday Mandal , Weng Kee Wong

Online Learning to Rank (OL2R) eliminates the need of explicit relevance annotation by directly optimizing the rankers from their interactions with users. However, the required exploration drives it away from successful practices in offline…

Machine Learning · Computer Science 2021-06-03 Yiling Jia , Huazheng Wang , Stephen Guo , Hongning Wang

We introduce an application of the group lasso to design of experiments. Note that we are NOT trying to explain experimental design for the group lasso. Conversely, we explain how we can use the idea of the group lasso in experimental…

Machine Learning · Statistics 2018-02-26 Kentaro Tanaka , Masami Miyakawa

Graded posets frequently arise throughout combinatorics, where it is natural to try to count the number of elements of a fixed rank. These counting problems are often $\#\textbf{P}$-complete, so we consider approximation algorithms for…

Data Structures and Algorithms · Computer Science 2023-04-11 Prateek Bhakta , Ben Cousins , Matthew Fahrbach , Dana Randall

We establish that there are properties of quantum many-body dynamics which are efficiently learnable if we are given access to out-of-time-order correlators (OTOCs), but which require exponentially many operations in the system size if we…

Quantum Physics · Physics 2022-08-05 Jordan Cotler , Thomas Schuster , Masoud Mohseni

Bayesian optimal design is considered for experiments where the response distribution depends on the solution to a system of non-linear ordinary differential equations. The motivation is an experiment to estimate parameters in the equations…

Methodology · Statistics 2019-05-02 Antony Overstall , David Woods , Ben Parker

The subject of this work is multiple group random coefficients regression models with several treatments and one control group. Such models are often used for studies with cluster randomized trials. We investigate A-, D- and E-optimal…

Statistics Theory · Mathematics 2018-07-27 Maryna Prus

We present a new experimental design procedure that divides a set of experimental units into two groups so that the two groups are balanced on a prespecified set of covariates and being almost as random as complete randomization. Under…

Statistics Theory · Mathematics 2016-12-08 Abba M. Krieger , David Azriel , Adam Kapelner
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