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Precision medicine seeks to match patients with treatments that produce the greatest benefit. The Predicted Individual Treatment Effect (PITE)-the difference between predicted outcomes under treatment and control-quantifies this benefit but…

应用统计 · 统计学 2026-02-09 Pamela M. Chiroque-Solano , M Lee Van Horn , Thomas Jaki

We propose a quantum algorithm based on ridge regression model, which get the optimal fitting parameters w and a regularization hyperparameter {\alpha} by analysing the training dataset. The algorithm consists of two subalgorithms. One is…

量子物理 · 物理学 2021-04-28 Menghan Chen , Chaohua Yu , Gongde Guo , Song Lin

We consider the problem of finding tuned regularized parameter estimators for linear models. We start by showing that three known optimal linear estimators belong to a wider class of estimators that can be formulated as a solution to a…

统计理论 · 数学 2023-05-03 Per Mattsson , Dave Zachariah , Petre Stoica

There is tremendous interest in precision medicine as a means to improve patient outcomes by tailoring treatment to individual characteristics. An individualized treatment rule formalizes precision medicine as a map from patient information…

机器学习 · 统计学 2020-05-28 Daniel J. Luckett , Eric B. Laber , Michael R. Kosorok

In recent years, there has been a growing interest in the prediction of individualized treatment effects. While there is a rapidly growing literature on the development of such models, there is little literature on the evaluation of their…

统计方法学 · 统计学 2023-12-22 J Hoogland , O Efthimiou , TL Nguyen , TPA Debray

Ridge estimators regularize the squared Euclidean lengths of parameters. Such estimators are mathematically and computationally attractive but involve tuning parameters that can be difficult to calibrate. In this paper, we show that ridge…

统计方法学 · 统计学 2020-02-28 Shih-Ting Huang , Fang Xie , Johannes Lederer

We propose a prognostic stratum matching framework that addresses the deficiencies of Randomized trial data subgroup analysis and transforms ObservAtional Data to be used as if they were randomized, thus paving the road for precision…

应用统计 · 统计学 2023-11-06 Dimitris Bertsimas , Angelos G. Koulouras , Georgios Antonios Margonis

Precision psychiatry is an ermerging field that aims to provide individualized approaches to mental health care. Multivariate analysis and machine learning are used to create outcome prediction models based on clinical data such as…

定量方法 · 定量生物学 2024-05-29 Edwin van Dellen

This article explores the critical role of statistical analysis in precision medicine. It discusses how personalized healthcare is enhanced by statistical methods that interpret complex, multidimensional datasets, focusing on predictive…

机器学习 · 计算机科学 2024-01-17 Xiaofei Chen

Medical imaging classifiers can achieve high predictive accuracy, but quantifying their uncertainty remains an unresolved challenge, which prevents their deployment in medical clinics. We present an algorithm that can modify any classifier…

机器学习 · 计算机科学 2024-08-12 Roy Hirsch , Jacob Goldberger

Parameter estimation connects mathematical models to real-world data and decision making across many scientific and industrial applications. Standard approaches such as maximum likelihood estimation and Markov chain Monte Carlo estimate…

统计方法学 · 统计学 2026-02-06 Matthew J Simpson , James S Bennett , Alexander Johnston , Ruth E Baker

Machine learning applications often require calibrated predictions, e.g. a 90\% credible interval should contain the true outcome 90\% of the times. However, typical definitions of calibration only require this to hold on average, and offer…

机器学习 · 统计学 2020-09-10 Shengjia Zhao , Tengyu Ma , Stefano Ermon

One primary goal of precision medicine is to estimate the individualized treatment rules (ITRs) that optimize patients' health outcomes based on individual characteristics. Health studies with multiple treatments are commonly seen in…

统计方法学 · 统计学 2025-05-07 Xuqiao Li , Qiuyan Zhou , Ying Wu , Ying Yan

An individualized dose rule recommends a dose level within a continuous safe dose range based on patient level information such as physical conditions, genetic factors and medication histories. Traditionally, personalized dose finding…

统计方法学 · 统计学 2020-07-21 Liangyu Zhu , Wenbin Lu , Michael R. Kosorok , Rui Song

Personalized decision-making, aiming to derive optimal treatment regimes based on individual characteristics, has recently attracted increasing attention in many fields, such as medicine, social services, and economics. Current literature…

统计方法学 · 统计学 2023-02-28 Jianing Chu , Wenbin Lu , Shu Yang

Doctors use statistics to advance medical knowledge; we use a medical analogy to introduce statistical inference "from scratch" and to highlight an improvement. Your doctor, perhaps implicitly, predicts the effectiveness of a treatment for…

统计方法学 · 统计学 2015-11-29 Keli Liu , Xiao-Li Meng

In healthcare applications, predictive uncertainty has been used to assess predictive accuracy. In this paper, we demonstrate that predictive uncertainty estimated by the current methods does not highly correlate with prediction error by…

机器学习 · 计算机科学 2021-07-08 Shi Hu , Nicola Pezzotti , Max Welling

Maximum likelihood estimation in nonlinear models can exhibit substantial instability in finite samples when the data provide limited information about certain parameters. Such instability is driven by rare but extreme realizations of the…

统计方法学 · 统计学 2026-04-15 Masamune Iwasawa

Personalized medicine aims at identifying best treatments for a patient with given characteristics. It has been shown in the literature that these methods can lead to great improvements in medicine compared to traditional methods…

Precision medicine seeks to discover an optimal personalized treatment plan and thereby provide informed and principled decision support, based on the characteristics of individual patients. With recent advancements in medical imaging, it…

统计方法学 · 统计学 2023-04-26 Xinyi Li , Michael R. Kosorok