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Adaptive online testing efficiently assesses examinee proficiency by dynamically adjusting the difficulty of test items based on their performance. To achieve this, items are selected so that their difficulty closely matches the test…

统计方法学 · 统计学 2025-11-21 Hideo Hirose

In this paper, we introduce a variation of the group testing problem where each test is specified by an ordered subset of items and returns the first defective item in the specified order or returns null if there are no defectives. We refer…

信息论 · 计算机科学 2024-09-30 Waqar Mirza , Nikhil Karamchandani , Niranjan Balachandran

Reinforcement Learning (RL) is a computational approach to reward-driven learning in sequential decision problems. It implements the discovery of optimal actions by learning from an agent interacting with an environment rather than from…

统计方法学 · 统计学 2022-10-06 Mauricio Tec , Yunshan Duan , Peter Müller

Accelerated life testing (ALT) is typically used to assess the reliability of material's lifetime under desired stress levels. Recent advances in material engineering have made a variety of material alternatives readily available. To…

统计方法学 · 统计学 2020-01-17 Ye Chen , Qiong Zhang , Mingyang Li , Wenjun Cai

We propose a new algorithmic framework for sequential hypothesis testing with i.i.d. data, which includes A/B testing, nonparametric two-sample testing, and independence testing as special cases. It is novel in several ways: (a) it takes…

机器学习 · 统计学 2016-03-03 Akshay Balsubramani , Aaditya Ramdas

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

机器学习 · 计算机科学 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

In contemporary scientific research, it is of great interest to predict a categorical response based on a high-dimensional tensor (i.e. multi-dimensional array) and additional covariates. This mixture of different types of data leads to…

统计方法学 · 统计学 2018-05-14 Yuqing Pan , Qing Mai , Xin Zhang

We consider the problem of identifying the most profitable product design from a finite set of candidates under unknown consumer preference. A standard approach to this problem follows a two-step strategy: First, estimate the preference of…

机器学习 · 统计学 2017-01-06 Max Yi Ren , Clayton Scott

A variational framework, initially developed for high-order mesh optimisation, is being extended for r-adaptation. The method is based on the minimisation of a functional of the mesh deformation. To achieve adaptation, elements of the…

计算几何 · 计算机科学 2019-01-07 Julian Marcon , Michael Turner , David Moxey , Spencer J. Sherwin , Joaquim Peiró

We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters. Our approach considers…

统计计算 · 统计学 2019-03-28 Chi Feng , Youssef M. Marzouk

We consider the group testing problem, in the case where the items are defective independently but with non-constant probability. We introduce and analyse an algorithm to solve this problem by grouping items together appropriately. We give…

信息论 · 计算机科学 2015-02-04 Tom Kealy , Oliver Johnson , Robert Piechocki

We present a theoretical application of an optimal experiment design (OED) methodology to the development of mathematical models to describe the stimulus-response relationship of sensory neurons. Although there are a few related studies in…

神经元与认知 · 定量生物学 2016-10-19 R. Ozgur Doruk , Kechen Zhang

We introduce Deep Adaptive Design (DAD), a method for amortizing the cost of adaptive Bayesian experimental design that allows experiments to be run in real-time. Traditional sequential Bayesian optimal experimental design approaches…

机器学习 · 统计学 2021-06-14 Adam Foster , Desi R. Ivanova , Ilyas Malik , Tom Rainforth

This research is motivated by the need for effective classification in ice-breaking dynamic simulations, aimed at determining the conditions under which an underwater vehicle will break through the ice. This simulation is extremely…

统计方法学 · 统计学 2025-06-05 Tian Bai , Dianpeng Wang , Kuangqi Chen , Xu He

We address the problem of learning to control an unknown nonlinear dynamical system through sequential interactions. Motivated by high-stakes applications in which mistakes can be catastrophic, such as robotics and healthcare, we study…

机器学习 · 计算机科学 2025-04-14 James Wang , Bruce D. Lee , Ingvar Ziemann , Nikolai Matni

Designing models that are both expressive and preserve known invariances of tasks is an increasingly hard problem. Existing solutions tradeoff invariance for computational or memory resources. In this work, we show how to leverage…

机器学习 · 计算机科学 2023-09-29 Leonardo Cotta , Gal Yehuda , Assaf Schuster , Chris J. Maddison

This survey is focused on certain sequential decision-making problems that involve optimizing over probability functions. We discuss the relevance of these problems for learning and control. The survey is organized around a framework that…

最优化与控制 · 数学 2023-01-13 Emiland Garrabe , Giovanni Russo

We consider the problem of constructing optimal designs for population pharmacokinetics which use random effect models. It is common practice in the design of experiments in such studies to assume uncorrelated errors for each subject. In…

应用统计 · 统计学 2010-11-16 Holger Dette , Andrey Pepelyshev , Tim Holland-Letz

Learning an ordering of items based on pairwise comparisons is useful when items are difficult to rate consistently on an absolute scale, for example, when annotators have to make subjective assessments. When exhaustive comparison is…

机器学习 · 计算机科学 2024-10-29 Herman Bergström , Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

Computer experiments with quantitative and qualitative inputs are widely used to study many scientific and engineering processes. Much of the existing work has focused on design and modeling or process optimization for such experiments.…

统计方法学 · 统计学 2025-04-30 A. Shahrokhian , X. Deng , C. D. Lin , P. Ranjan , L. Xu