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In the secretary problem of Cayley (1875) and Moser (1956), $n$ non-negative, independent, random variables with common distribution are sequentially presented to a decision maker who decides when to stop and collect the most recent…

概率论 · 数学 2019-10-22 Alessandro Arlotto , Itai Gurvich

The difference-in-differences (DID) design is widely used in observational studies to estimate the causal effect of a treatment when repeated observations over time are available. Yet, almost all existing methods assume linearity in the…

应用统计 · 统计学 2020-09-29 Soichiro Yamauchi

We study episodic linear mixture MDPs with the unknown transition and adversarial rewards under full-information feedback, employing dynamic regret as the performance measure. We start with in-depth analyses of the strengths and limitations…

机器学习 · 计算机科学 2024-11-06 Long-Fei Li , Peng Zhao , Zhi-Hua Zhou

We develop adaptive discretization algorithms for locally optimal experimental design of nonlinear prediction models. With these algorithms, we refine and improve a pertinent state-of-the-art algorithm in various respects. We establish…

最优化与控制 · 数学 2024-06-04 Jochen Schmid , Philipp Seufert , Michael Bortz

The Optimized Gradient Method (OGM), its strongly convex extension, the Information Theoretical Exact Method (ITEM), as well as the related Triple Momentum Method (TMM) have superior convergence guarantees when compared to the Fast Gradient…

最优化与控制 · 数学 2024-05-14 Mihai I. Florea

We study the problem of estimating the average treatment effect (ATE) in adaptive experiments where treatment can only be encouraged -- rather than directly assigned -- via a binary instrumental variable. Building on semiparametric…

统计方法学 · 统计学 2025-10-30 Miruna Oprescu , Brian M Cho , Nathan Kallus

Bayesian optimal experimental design is a sub-field of statistics focused on developing methods to make efficient use of experimental resources. Any potential design is evaluated in terms of a utility function, such as the (theoretically…

机器学习 · 计算机科学 2022-10-21 Noble Kennamer , Steven Walton , Alexander Ihler

The Alternating Direction Method of Multipliers (ADMM) has been studied for years. The traditional ADMM algorithm needs to compute, at each iteration, an (empirical) expected loss function on all training examples, resulting in a…

机器学习 · 统计学 2014-06-10 Peilin Zhao , Jinwei Yang , Tong Zhang , Ping Li

The current work is motivated by the need for robust statistical methods for precision medicine; as such, we address the need for statistical methods that provide actionable inference for a single unit at any point in time. We aim to learn…

统计理论 · 数学 2021-07-02 Ivana Malenica , Aurelien Bibaut , Mark J. van der Laan

Adaptive sampling algorithms are modern and efficient methods that dynamically adjust the sample size throughout the optimization process. However, they may encounter difficulties in risk-averse settings, particularly due to the challenge…

最优化与控制 · 数学 2025-02-17 Sandra Pieraccini , Tommaso Vanzan

In stochastic combinatorial optimization, algorithms differ in their adaptivity: whether or not they query realized randomness and adapt to it. Dean et al. (FOCS '04) formalize the adaptivity gap, which compares the performance of fully…

数据结构与算法 · 计算机科学 2026-03-03 Zohar Barak , Inbal Talgam-Cohen

In randomized experiments, regression adjustment can improve the precision of average treatment effect (ATE) estimation using covariates without requiring a correctly specified outcome model. Although well studied in low-dimensional…

统计理论 · 数学 2026-04-28 Dogyoon Song

We develop a skew-adaptive extension of split conformal prediction for regression. The method starts from an asymmetric interval family centered at a point prediction and uses the gauge approach to deduce the conformity score induced by…

机器学习 · 统计学 2026-05-18 Paulo C. Marques F. , Helton Graziadei

Multi-bit spiking neural networks (SNNs) have recently become a heated research spot, pursuing energy-efficient and high-accurate AI. However, with more bits involved, the associated memory and computation demands escalate to the point…

神经与进化计算 · 计算机科学 2025-12-02 Xingting Yao , Qinghao Hu , Fei Zhou , Tielong Liu , Gang Li , Peisong Wang , Jian Cheng

We give a randomized online algorithm that guarantees near-optimal $\widetilde O(\sqrt T)$ expected swap regret against any sequence of $T$ adaptively chosen Lipschitz convex losses on the unit interval. This improves the previous best…

机器学习 · 计算机科学 2026-02-10 Lunjia Hu , Jon Schneider , Yifan Wu

Graph neural networks (GNN) have recently emerged as a vehicle for applying deep network architectures to graph and relational data. However, given the increasing size of industrial datasets, in many practical situations the message passing…

机器学习 · 计算机科学 2021-11-16 Qingru Zhang , David Wipf , Quan Gan , Le Song

Reinforcement learning with multinomial logistic (MNL) function approximation has become an important framework due to its flexibility and broad applicability. While existing studies have established regret guarantees under worst-case…

机器学习 · 统计学 2026-05-28 Wonyoung Kim , Min-Hwan Oh , Garud Iyengar , Assaf Zeevi

In computerized adaptive testing (CAT), items (questions) are selected in real time based on the already observed responses, so that the ability of the examinee can be estimated as accurately as possible. This is typically formulated as a…

统计理论 · 数学 2015-01-08 Shiyu Wang , Georgios Fellouris , Hua-Hua Chang

Adaptive experiments, including efficient average treatment effect estimation and multi-armed bandit algorithms, have garnered attention in various applications, such as social experiments, clinical trials, and online advertisement…

统计方法学 · 统计学 2021-03-24 Masahiro Kato

In a tie-breaker design (TBD), subjects with high values of a running variable are given some (usually desirable) treatment, subjects with low values are not, and subjects in the middle are randomized. TBDs are intermediate between…

统计方法学 · 统计学 2025-05-12 Tim P. Morrison , Art B. Owen