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Recent developments in sequential experimental design look to construct a policy that can efficiently navigate the design space, in a way that maximises the expected information gain. Whilst there is work on achieving tractable policies for…

机器学习 · 计算机科学 2025-08-20 Yasir Zubayr Barlas , Kizito Salako

We present algorithms for nonparametric regression in settings where the data are obtained sequentially. While traditional estimators select bandwidths that depend upon the sample size, for sequential data the effective sample size is…

统计方法学 · 统计学 2012-07-03 Haijie Gu , John Lafferty

Adaptive approaches, allowing for more flexible trial design, have been proposed for individually randomized trials to save time or reduce sample size. However, adaptive designs for cluster-randomized trials in which groups of participants…

统计方法学 · 统计学 2022-01-10 Junwei Shen , Shirin Golchi , Erica E. M. Moodie , David Benrimoh

We study nonlinear regression of real valued data in an individual sequence manner, where we provide results that are guaranteed to hold without any statistical assumptions. We address the convergence and undertraining issues of…

机器学习 · 计算机科学 2014-10-08 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

A continuous adaptive control design is developed for nonlinear dynamical systems with linearly parameterizable uncertainty involving time-varying uncertain parameters. The key feature of this design is a robust integral of the sign of the…

系统与控制 · 电气工程与系统科学 2020-07-24 Omkar Sudhir Patil , Runhan Sun , Shubhendu Bhasin , Warren E. Dixon

Item Response Theory (IRT) models aim to assess latent abilities of $n$ examinees along with latent difficulty characteristics of $m$ test items from categorical data that indicates the quality of their corresponding answers. Classical…

机器学习 · 计算机科学 2024-08-16 Susanne Frick , Amer Krivošija , Alexander Munteanu

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

机器学习 · 统计学 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar

Response-adaptive randomization has recently attracted a lot of attention in the literature. In this paper, we propose a new and simple family of response-adaptive randomization procedures that attain the Cramer--Rao lower bounds on the…

统计理论 · 数学 2009-08-25 Feifang Hu , Li-Xin Zhang , Xuming He

In this paper we investigate the problem of designing experiments for series estimators in nonparametric regression models with correlated observations. We use projection based estimators to derive an explicit solution of the best linear…

统计理论 · 数学 2018-12-14 Holger Dette , Maria Konstantinou , Kirsten Schorning

Most predictive models assume that training and test data are generated from a stationary process. However, this assumption does not hold true in practice. In this paper, we consider the scenario of a gradual concept drift due to the…

机器学习 · 计算机科学 2020-02-12 Subhro Das , Prasanth Lade , Soundar Srinivasan

The linear model uses the space defined by the input to project the target or desired signal and find the optimal set of model parameters. When the problem is nonlinear, the adaption requires nonlinear models for good performance, but it…

机器学习 · 计算机科学 2018-02-05 Zhengda Qin , Badong Chen , Nanning Zheng , Jose C. Principe

In recent years, more attention has been paid prominently to accelerated degradation testing in order to characterize accurate estimation of reliability properties for systems that are designed to work properly for years of even decades.…

应用统计 · 统计学 2021-09-23 Helmi Shat

Consider a decision maker who is responsible to collect observations so as to enhance his information in a speedy manner about an underlying phenomena of interest. The policies under which the decision maker selects sensing actions can be…

信息论 · 计算机科学 2015-06-12 Mohammad Naghshvar , Tara Javidi

In many practical settings one can sequentially and adaptively guide the collection of future data, based on information extracted from data collected previously. These sequential data collection procedures are known by different names,…

统计理论 · 数学 2013-11-28 Ervin Tánczos , Rui M. Castro

Response times collected in computerised assessments provide information about the underlying response process and may exhibit within-person variation over the course of a test. We propose a latent variable model for log response times that…

统计方法学 · 统计学 2026-05-29 Gabriel Wallin , Nivedita Bhaktha

The problem of differentiating a function with bounded second derivative in the presence of bounded measurement noise is considered in both continuous-time and sampled-data settings. Fundamental performance limitations of causal…

系统与控制 · 电气工程与系统科学 2023-03-28 Richard Seeber , Hernan Haimovich

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and is relevant in applications such as medical testing, communication protocols, pattern…

信息论 · 计算机科学 2018-10-05 Jonathan Scarlett

We present adaptive sequential SAA (sample average approximation) algorithms to solve large-scale two-stage stochastic linear programs. The iterative algorithm framework we propose is organized into \emph{outer} and \emph{inner} iterations…

最优化与控制 · 数学 2020-12-08 Raghu Pasupathy , Yongjia Song

In this paper, a model reference adaptive control architecture is proposed for uncertain nonlinear systems to achieve prescribed performance guarantees. Specifically, a general nonlinear reference model system is considered that captures an…

系统与控制 · 电气工程与系统科学 2021-06-11 Ehsan Arabi , Kunal Garg , Dimitra Panagou

We propose a new procedure named PASOA, for Bayesian experimental design, that performs sequential design optimization by simultaneously providing accurate estimates of successive posterior distributions for parameter inference. The…

机器学习 · 统计学 2024-10-16 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes