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An important objective in the development of targeted therapies is to identify the populations where the treatment under consideration has positive benefit risk balance. We consider pivotal clinical trials, where the efficacy of a treatment…

We introduce a new sufficient statistic for the population parameter vector by allowing for the sampling design to first be selected at random amongst a set of candidate sampling designs. In contrast to the traditional approach in survey…

统计理论 · 数学 2014-11-11 Kyle Vincent , Christopher S. Henry

Experimental comparisons of performance represent an important aspect of research on optimization algorithms. In this work we present a methodology for defining the required sample sizes for designing experiments with desired statistical…

神经与进化计算 · 计算机科学 2018-10-16 Felipe Campelo , Fernanda Takahashi

The study proposes a new decision theoretic sampling plan (DSP) for Type-I and Type-I hybrid censored samples when the lifetimes of individual items are exponentially distributed with a scale parameter. The DSP is based on an estimator of…

统计方法学 · 统计学 2018-07-03 Deepak Prajapati , Sharmistha Mitra , Debasis Kundu

Large language models show great potential in generating and optimizing code. Widely used sampling methods such as Nucleus Sampling increase the diversity of generation but often produce repeated samples for low temperatures and incoherent…

机器学习 · 计算机科学 2024-03-01 Dejan Grubisic , Chris Cummins , Volker Seeker , Hugh Leather

In the recent years, branch-and-cut algorithms have been the target of data-driven approaches designed to enhance the decision making in different phases of the algorithm such as branching, or the choice of cutting planes (cuts). In…

最优化与控制 · 数学 2025-06-03 Sammy Khalife , Andrea Lodi

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

理论经济学 · 经济学 2020-08-27 Alex Suzdaltsev

Generating good revenue is one of the most important problems in Bayesian auction design, and many (approximately) optimal dominant-strategy incentive compatible (DSIC) Bayesian mechanisms have been constructed for various auction settings.…

计算机科学与博弈论 · 计算机科学 2020-08-07 Jing Chen , Bo Li , Yingkai Li , Pinyan Lu

Assortment optimization concerns the problem of selling items with fixed prices to a buyer who will purchase at most one. Typically, retailers select a subset of items, corresponding to an "assortment" of brands to carry, and make each…

计算机科学与博弈论 · 计算机科学 2022-05-23 Will Ma

A central issue of many statistical learning problems is to select an appropriate model from a set of candidate models. Large models tend to inflate the variance (or overfitting), while small models tend to cause biases (or underfitting)…

统计理论 · 数学 2020-12-25 Jie Ding , Enmao Diao , Jiawei Zhou , Vahid Tarokh

We study the problem of exploration in Reinforcement Learning and present a novel model-free solution. We adopt an information-theoretical viewpoint and start from the instance-specific lower bound of the number of samples that have to be…

机器学习 · 计算机科学 2024-07-02 Alessio Russo , Alexandre Proutiere

Given a finite set of unknown distributions or arms that can be sampled, we consider the problem of identifying the one with the maximum mean using a $\delta$-correct algorithm (an adaptive, sequential algorithm that restricts the…

机器学习 · 计算机科学 2023-11-27 Shubhada Agrawal , Sandeep Juneja , Peter Glynn

We consider an outsourcing problem where a software agent procures multiple services from providers with uncertain reliabilities to complete a computational task before a strict deadline. The service consumer requires a procurement strategy…

计算机科学与博弈论 · 计算机科学 2021-10-26 Farzaneh Farhadi , Maria Chli , Nicholas R. Jennings

We consider the problem of estimating the support size of a distribution $D$. Our investigations are pursued through the lens of distribution testing and seek to understand the power of conditional sampling (denoted as COND), wherein one is…

数据结构与算法 · 计算机科学 2022-11-23 Diptarka Chakraborty , Gunjan Kumar , Kuldeep S. Meel

We provide sufficient conditions for revenue maximization in a two-good monopoly where the buyer's values for the items come from independent (but not necessarily identical) distributions over bounded intervals. Under certain distributional…

计算机科学与博弈论 · 计算机科学 2015-11-24 Yiannis Giannakopoulos , Elias Koutsoupias

We study independent private values auction environments in which the auctioneer's revenue depends nonlinearly on bidders' interim winning probabilities. Our framework accommodates heterogeneity among bidders and places no ad hoc…

理论经济学 · 经济学 2026-02-23 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

Distributionally balanced sampling designs are low-discrepancy probability designs obtained by minimizing the expected discrepancy between the auxiliary-variable distribution of a random sample and the target population distribution.…

统计方法学 · 统计学 2026-03-26 Anton Grafström , Wilmer Prentius

We consider some classical optimization problems in path planning and network transport, and we introduce new auction-based algorithms for their optimal and suboptimal solution. The algorithms are based on mathematical ideas that are…

最优化与控制 · 数学 2022-07-21 Dimitri Bertsekas

We study the design of truthful auctions for selling identical items in unlimited supply (e.g., digital goods) to n unit demand buyers. This classic problem stands out from profit-maximizing auction design literature as it requires no…

计算机科学与博弈论 · 计算机科学 2014-01-07 Ning Chen , Nick Gravin , Pinyan Lu

In this paper, we propose a sampling-based planning and optimal control method of nonlinear systems under non-differentiable constraints. Motivated by developing scalable planning algorithms, we consider the optimal motion plan to be a…

系统与控制 · 计算机科学 2016-12-19 Jie Fu