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Nonlinear manifold learning algorithms, such as diffusion maps, have been fruitfully applied in recent years to the analysis of large and complex data sets. However, such algorithms still encounter challenges when faced with real data. One…

数学物理 · 物理学 2015-05-25 Carmeline J. Dsilva , Ronen Talmon , Ronald R. Coifman , Ioannis G. Kevrekidis

We propose a novel and computationally efficient approach for nonparametric conditional density estimation in high-dimensional settings that achieves dimension reduction without imposing restrictive distributional or functional form…

计量经济学 · 经济学 2025-10-14 Jianhua Mei , Fu Ouyang , Thomas T. Yang

Purpose: We propose a general framework for quantifying predictive uncertainties of dose-related quantities and leveraging this information in a dose mimicking problem in the context of automated radiation therapy treatment planning.…

医学物理 · 物理学 2021-09-08 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

Dimensionality reduction is a fundamental task in modern data science. Several projection methods specifically tailored to take into account the non-linearity of the data via local embeddings have been proposed. Such methods are often based…

机器学习 · 统计学 2026-01-28 Antonio Di Noia , Federico Ravenda , Antonietta Mira

We introduce a method to construct a stochastic surrogate model from the results of dimensionality reduction in forward uncertainty quantification. The hypothesis is that the high-dimensional input augmented by the output of a computational…

应用统计 · 统计学 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

Personalized decision-making, tailored to individual characteristics, is gaining significant attention. The optimal treatment regime aims to provide the best-expected outcome in the entire population, known as the value function. One…

统计方法学 · 统计学 2024-05-28 Yuwen Cheng , Shu Yang

Decision-making in personalized medicine such as cancer therapy or critical care must often make choices for dosage combinations, i.e., multiple continuous treatments. Existing work for this task has modeled the effect of multiple…

机器学习 · 计算机科学 2023-10-30 Jonas Schweisthal , Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

Bayesian inverse problems use observed data to update a prior probability distribution for an unknown state or parameter of a scientific system to a posterior distribution conditioned on the data. In many applications, the unknown parameter…

数值分析 · 数学 2026-05-12 Josie König , Elizabeth Qian , Melina A. Freitag

We propose dimension reduction methods for sparse, high-dimensional multivariate response regression models. Both the number of responses and that of the predictors may exceed the sample size. Sometimes viewed as complementary, predictor…

统计理论 · 数学 2013-02-14 Florentina Bunea , Yiyuan She , Marten H. Wegkamp

Individualized treatment rules, cornerstones of precision medicine, inform patient treatment decisions with the goal of optimizing patient outcomes. These rules are generally unknown functions of patients' pre-treatment covariates, meaning…

统计方法学 · 统计学 2025-04-23 Philippe Boileau , Ning Leng , Sandrine Dudoit

Having a large number of covariates can have a negative impact on the quality of causal effect estimation since confounding adjustment becomes unreliable when the number of covariates is large relative to the samples available. Propensity…

统计方法学 · 统计学 2020-09-15 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu

In both the fields of computer science and medicine there is very strong interest in developing personalized treatment policies for patients who have variable responses to treatments. In particular, I aim to find an optimal personalized…

机器学习 · 计算机科学 2014-07-01 Yousuf M. Soliman

Sufficient dimension reduction aims for reduction of dimensionality of a regression without loss of information by replacing the original predictor with its lower-dimensional subspace. Partial (sufficient) dimension reduction arises when…

统计方法学 · 统计学 2019-09-27 Lu Li , Kai Tan , Xuerong Meggie Wen , Zhou Yu

This paper proposes a novel paradigm for machine learning that moves beyond traditional parameter optimization. Unlike conventional approaches that search for optimal parameters within a fixed geometric space, our core idea is to treat the…

机器学习 · 计算机科学 2025-10-31 Di Zhang

Dimensionality reduction is an effective method for learning high-dimensional data, which can provide better understanding of decision boundaries in human-readable low-dimensional subspace. Linear methods, such as principal component…

机器学习 · 计算机科学 2020-07-09 Koji Maruhashi , Heewon Park , Rui Yamaguchi , Satoru Miyano

Early phase, personalized dose-finding trials for combination therapies seek to identify patient-specific optimal biological dose (OBD) combinations, which are defined as safe dose combinations which maximize therapeutic benefit for a…

统计方法学 · 统计学 2024-04-18 James Willard , Shirin Golchi , Erica EM Moodie

The purpose of a phase I dose-finding clinical trial is to investigate the toxicity profiles of various doses for a new drug and identify the maximum tolerated dose. Over the past three decades, various dose-finding designs have been…

统计方法学 · 统计学 2021-11-25 Yunshan Duan , Shijie Yuan , Yuan Ji , Peter Mueller

There is a growing interest in estimating heterogeneous treatment effects across individuals using their high-dimensional feature attributes. Achieving high performance in such high-dimensional heterogeneous treatment effect estimation is…

机器学习 · 统计学 2024-06-04 Yoichi Chikahara , Kansei Ushiyama

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

Understanding the dose-response relation between a continuous treatment and the outcome for an individual can greatly drive decision-making, particularly in areas like personalized drug dosing and personalized healthcare interventions.…

机器学习 · 计算机科学 2026-01-07 Jarne Verhaeghe , Jef Jonkers , Sofie Van Hoecke