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Motivated by applications of large embedding models, we study differentially private (DP) optimization problems under sparsity of individual gradients. We start with new near-optimal bounds for the classic mean estimation problem but with…

机器学习 · 计算机科学 2024-11-01 Badih Ghazi , Cristóbal Guzmán , Pritish Kamath , Ravi Kumar , Pasin Manurangsi

Neuroevolution is an alternative to gradient-based optimisation that has the potential to avoid local minima and allows parallelisation. The main limiting factor is that usually it does not scale well with parameter space dimensionality.…

机器学习 · 计算机科学 2021-04-29 Nemanja Rakicevic , Antoine Cully , Petar Kormushev

We consider the problem of estimating a dose-response curve. Continuous treatments arise often in practice, e.g. in the form of time spent on an operation, distance traveled to a location or dosage of a drug. Letting $A$ denote a continuous…

统计方法学 · 统计学 2026-04-14 Matteo Bonvini , Edward H. Kennedy

We introduce sparse random projection, an important dimension-reduction tool from machine learning, for the estimation of discrete-choice models with high-dimensional choice sets. Initially, high-dimensional data are compressed into a…

机器学习 · 统计学 2016-04-21 Khai X. Chiong , Matthew Shum

Practitioners often face the challenge of deploying prediction models in new environments with shifted distributions of covariates and responses. With observational data, such shifts are often driven by unobserved confounding, and can in…

机器学习 · 计算机科学 2026-04-02 Kulunu Dharmakeerthi , YoonHaeng Hur , Tengyuan Liang

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

Phase I oncology trials aim to identify a safe dose - often the maximum tolerated dose (MTD) - for subsequent studies. Conventional designs focus on population-level toxicity modeling, with recent attention on leveraging pharmacokinetic…

应用统计 · 统计学 2026-01-13 Kyong Ju Lee , Yuan Ji

With the rise of the digital economy and an explosion of available information about consumers, effective personalization of goods and services has become a core business focus for companies to improve revenues and maintain a competitive…

机器学习 · 计算机科学 2022-11-04 Zhaonan Qu , Isabella Qian , Zhengyuan Zhou

We address a physics-informed neural network based on the concept of random projections for the numerical solution of IVPs of nonlinear ODEs in linear-implicit form and index-1 DAEs, which may also arise from the spatial discretization of…

数值分析 · 数学 2024-11-05 Gianluca Fabiani , Evangelos Galaris , Lucia Russo , Constantinos Siettos

Individualized treatment rules tailor treatments to patients based on clinical, demographic, and other characteristics. Estimation of individualized treatment rules requires the identification of individuals who benefit most from the…

统计方法学 · 统计学 2024-06-06 Junwei Shen , Erica E. M. Moodie , Shirin Golchi

Flexible estimation of the mean outcome under a treatment regimen (i.e., value function) is the key step toward personalized medicine. We define our target parameter as a conditional value function given a set of baseline covariates which…

统计理论 · 数学 2023-09-29 Ashkan Ertefaie , Luke Duttweiler , Brent A. Johnson , Mark J. van der Laan

In order to identify important variables that are involved in making optimal treatment decision, Lu et al. (2013) proposed a penalized least squared regression framework for a fixed number of predictors, which is robust against the…

机器学习 · 统计学 2015-10-16 Chengchun Shi , Rui Song , Wenbin Lu

We present a method of directly optimizing on deviations in clinical goal values in radiation therapy treatment planning. Using a new mathematical framework in which metrics derived from the dose-volume histogram are regarded as functionals…

医学物理 · 物理学 2021-09-07 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

Randomized controlled trials typically analyze the effectiveness of treatments with the goal of making treatment recommendations for patient subgroups. With the advance of electronic health records, a great variety of data has been…

机器学习 · 计算机科学 2021-03-31 Zhiliang Wu , Yinchong Yang , Yunpu Ma , Yushan Liu , Rui Zhao , Michael Moor , Volker Tresp

We present novel, computationally efficient, and differentially private algorithms for two fundamental high-dimensional learning problems: learning a multivariate Gaussian and learning a product distribution over the Boolean hypercube in…

数据结构与算法 · 计算机科学 2019-05-31 Gautam Kamath , Jerry Li , Vikrant Singhal , Jonathan Ullman

Estimating individualized treatment effects from longitudinal observational data is central to data-driven medicine, yet existing methods face a fundamental limitation: reducing confounding bias often suppresses clinically informative…

The current study proposes a dimension reduction method, stepwise support vector machine (SVM), to reduce the dimensions of large p small n datasets. The proposed method is compared with other dimension reduction methods, namely, the…

应用统计 · 统计学 2017-11-10 Elizabeth P. Chou , Tzu-Wei Ko

This paper proposes a generalized framework with joint normalization which learns lower-dimensional subspaces with maximum discriminative power by making use of the Riemannian geometry. In particular, we model the similarity/dissimilarity…

计算机视觉与模式识别 · 计算机科学 2017-11-20 Tianci Liu , Zelin Shi , Yunpeng Liu

The effectiveness of dimensionality reduction with quadratic manifolds hinges on the choice of a reduced basis and the associated quadratic correction terms. Existing approaches typically rely on subspaces spanned by the leading principal…

数值分析 · 数学 2026-05-27 Gavin Paxton , Seunghee Cheon , Rudy Geelen , Shane A. McQuarrie

When performing classification tasks, raw high dimensional features often contain redundant information, and lead to increased computational complexity and overfitting. In this paper, we assume the data samples lie on a single underlying…

图像与视频处理 · 电气工程与系统科学 2020-08-11 Bowen Jiang , Maohao Shen