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A pressing challenge in medical research is to identify optimal treatments for individual patients. This is particularly challenging in mental health settings where mean responses are often similar across multiple treatments. For example,…

Methodology · Statistics 2022-03-08 Lanqiu Yao , Thaddeus Tarpey

In this paper, we deal with the data-driven selection of multidimensional and possibly anisotropic bandwidths in the general framework of kernel empirical risk minimization. We propose a universal selection rule, which leads to optimal…

Statistics Theory · Mathematics 2016-08-11 Michaël Chichignoud , Sébastien Loustau

The multiple-biomarker classifier problem and its assessment are reviewed against the background of some fundamental principles from the field of statistical pattern recognition, machine learning, or the recently so-called "data science". A…

Genomics · Quantitative Biology 2019-11-01 Waleed A. Yousef

Given data generated by an observable stochastic process, we study how to construct statistically optimal decisions for general stochastic optimization problems. Our setting encompasses non-standard data structures, including data…

Optimization and Control · Mathematics 2025-08-01 Radek Salač , Michael Kupper , Tobias Sutter

A key question in clinical practice is accurate prediction of patient prognosis. To this end, nowadays, physicians have at their disposal a variety of tests and biomarkers to aid them in optimizing medical care. These tests are often…

Motivated by differential co-expression analysis in genomics, we consider in this paper estimation and testing of high-dimensional differential correlation matrices. An adaptive thresholding procedure is introduced and theoretical…

Methodology · Statistics 2015-10-22 T. Tony Cai , Anru Zhang

When to initiate treatment on patients is an important problem in many medical studies such as AIDS and cancer. In this article, we formulate the treatment initiation time problem for time-to-event data and propose an optimal individualized…

Methodology · Statistics 2021-09-30 Xin Chen , Rui Song , Jiajia Zhang , Swann Arp Adams , Liuquan Sun , Wenbin Lu

Marginal structural models have been widely used in causal inference to estimate mean outcomes under either a static or a prespecified set of treatment decision rules. This approach requires imposing a working model for the mean outcome…

Methodology · Statistics 2024-02-27 Cuong Pham , Benjamin R. Baer , Ashkan Ertefaie

We provide methods to validate and compare sensor outputs, or inference algorithms applied to sensor data, by adapting statistical scoring rules. The reported output should either be in the form of a prediction interval or of a parameter…

Data Analysis, Statistics and Probability · Physics 2015-07-07 A. D. Martin , T. C. A. Molteno , M. Parry

Adaptive enrichment allows for pre-defined patient subgroups of interest to be investigated throughout the course of a clinical trial. Many trials which measure a long-term time-to-event endpoint often also routinely collect repeated…

Methodology · Statistics 2024-02-26 Abigail J. Burdon , Richard D. Baird , Thomas Jaki

Estimation and evaluation of individualized treatment rules have been studied extensively, but real-world treatment resource constraints have received limited attention in existing methods. We investigate a setting in which treatment is…

Methodology · Statistics 2022-11-24 Hongxiang Qiu , Marco Carone , Alex Luedtke

Checklists are simple decision aids that are often used to promote safety and reliability in clinical applications. In this paper, we present a method to learn checklists for clinical decision support. We represent predictive checklists as…

Machine Learning · Computer Science 2022-01-19 Haoran Zhang , Quaid Morris , Berk Ustun , Marzyeh Ghassemi

An important tool to evaluate the performance of any design is an optimal benchmark proposed by O'Quigley and others (2002, Biostatistics 3(1), 51-56) that provides an upper bound on the performance of a design under a given scenario. The…

Statistics Theory · Mathematics 2018-03-06 Pavel Mozgunov , Thomas Jaki , Xavier Paoletti

We provide a general theoretical analysis of expected out-of-sample utility, also referred to as decision-theoretic classification, for non-decomposable binary classification metrics such as F-measure and Jaccard coefficient. Our key result…

Machine Learning · Computer Science 2015-05-08 Nagarajan Natarajan , Oluwasanmi Koyejo , Pradeep Ravikumar , Inderjit S. Dhillon

With the increasing adoption of electronic health records, there is an increasing interest in developing individualized treatment rules, which recommend treatments according to patients' characteristics, from large observational data.…

Methodology · Statistics 2021-05-05 Muxuan Liang , Young-Geun Choi , Yang Ning , Maureen A Smith , Ying-Qi Zhao

Biomarker subpopulations have become increasingly important for drug development in targeted therapies. The use of biomarkers has the potential to facilitate more effective outcomes by guiding patient selection appropriately, thus enhancing…

Methodology · Statistics 2020-08-07 Ting-Yu Chen , Jing Zhao , Linda Sun , Keaven Anderson

Recent advances in experimental methods have enabled researchers to collect data on thousands of analytes simultaneously. This has led to correlational studies that associated molecular measurements with diseases such as Alzheimer's, Liver,…

Quantitative Methods · Quantitative Biology 2024-05-20 Divyagna Bavikadi , Ayushi Agarwal , Shashank Ganta , Yunro Chung , Lusheng Song , Ji Qiu , Paulo Shakarian

Phase 1-2 designs provide a methodological advance over phase 1 designs for dose finding by using both clinical response and toxicity. A phase 1-2 trial still may fail to select a truly optimal dose. because early response is not a perfect…

Applications · Statistics 2024-04-03 Cheng-Han Yang , Peter F. Thall , Ruitao Lin

A common goal in modern biostatistics is to form a biomarker signature from high dimensional gene expression data that is predictive of some outcome of interest. After learning this biomarker signature, an important question to answer is…

Statistics Theory · Mathematics 2015-10-05 Samuel M. Gross , Jonathan Taylor , Robert Tibshirani

In this paper, we propose a new estimation methodology based on a projected non-linear conjugate gradient (PNCG) algorithm with an efficient line search technique. We develop a general PNCG algorithm for a survival model incorporating a…

Statistics Theory · Mathematics 2020-07-07 Suvra Pal , Souvik Roy