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When training a machine learning model with observational data, it is often encountered that some values are systemically missing. Learning from the incomplete data in which the missingness depends on some covariates may lead to biased…

Machine Learning · Computer Science 2018-12-24 Kanghoon Lee , Jihye Choi , Moonsu Cha , Jung-Kwon Lee , Taeyoon Kim

Differentially Private Stochastic Gradient Descent (DP-SGD) has been widely used for solving optimization problems with privacy guarantees in machine learning and statistics. Despite this, a systematic non-asymptotic convergence analysis…

Methodology · Statistics 2025-07-10 Enze Shi , Jinhan Xie , Bei Jiang , Linglong Kong , Xuming He

We introduce incremental variational inference and apply it to latent Dirichlet allocation (LDA). Incremental variational inference is inspired by incremental EM and provides an alternative to stochastic variational inference. Incremental…

Machine Learning · Statistics 2015-07-23 Cedric Archambeau , Beyza Ermis

The development of a digital twin (DT) framework for fast online adaptive proton therapy planning in prostate stereotactic body radiation therapy (SBRT) with dominant intraprostatic lesion (DIL) boost represents a significant advancement in…

This work investigates the performance of the final iterate produced by stochastic gradient descent (SGD) under temporally dependent data. We consider two complementary sources of dependence: $(i)$ martingale-type dependence in both the…

Statistics Theory · Mathematics 2026-01-06 Yinan Shen , Yichen Zhang , Wen-Xin Zhou

Electronic health records and other sources of observational data are increasingly used for drawing causal inferences. The estimation of a causal effect using these data not meant for research purposes is subject to confounding and…

Methodology · Statistics 2023-04-19 Janie Coulombe , Shu Yang

With multiple iterations of updates, local statistical gradient descent (L-SGD) has been proven to be very effective in distributed machine learning schemes such as federated learning. In fact, many innovative works have shown that L-SGD…

Machine Learning · Computer Science 2023-05-29 Linxuan Pan , Shenghui Song

In precision medicine, one of the most important problems is estimating the optimal individualized treatment rules (ITR), which typically involves recommending treatment decisions based on fully observed individual characteristics of…

Methodology · Statistics 2025-10-15 Yue Zhang , Shanshan Luo , Zhi Geng , Yangbo He

The deep image prior (DIP) is a well-established unsupervised deep learning method for image reconstruction; yet it is far from being flawless. The DIP overfits to noise if not early stopped, or optimized via a regularized objective. We…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Marco Nittscher , Michael Lameter , Riccardo Barbano , Johannes Leuschner , Bangti Jin , Peter Maass

In this paper, we prove that Distributional Reinforcement Learning (DistRL), which learns the return distribution, can obtain second-order bounds in both online and offline RL in general settings with function approximation. Second-order…

Machine Learning · Computer Science 2024-02-13 Kaiwen Wang , Owen Oertell , Alekh Agarwal , Nathan Kallus , Wen Sun

Because different patients may response quite differently to the same drug or treatment, there is increasing interest in discovering individualized treatment rule. In particular, people are eager to find the optimal individualized treatment…

Methodology · Statistics 2016-04-14 Wei Xiao , Hao Helen Zhang , Wenbin Lu

We extend the result on the spectral projected gradient method by Birgin et al. in 2000 to a log-determinant semidefinite problem (SDP) with linear constraints and propose a spectral projected gradient method for the dual problem. Our…

Optimization and Control · Mathematics 2018-12-04 Takashi Nakagaki , Mituhiro Fukuda , Sunyoung Kim , Makoto Yamashita

Estimating treatment effects, especially individualized treatment effects (ITE), using observational data is challenging due to the complex situations of confounding bias. Existing approaches for estimating treatment effects from…

Machine Learning · Statistics 2022-07-26 Zheng Feng , Mattia Prosperi , Jiang Bian

The paradigm of Differentially Private SGD~(DP-SGD) can provide a theoretical guarantee for training data in both centralized and federated settings. However, the utility degradation caused by DP-SGD limits its wide application in…

Cryptography and Security · Computer Science 2025-04-15 Haichao Sha , Ruixuan Liu , Yixuan Liu , Hong Chen

We consider the robust multi-dimensional scaling (RMDS) problem in this paper. The goal is to localize point locations from pairwise distances that may be corrupted by outliers. Inspired by classic MDS theories, and nonconvex works for the…

Machine Learning · Statistics 2025-01-07 Tong Deng , Tianming Wang

The pursuit of robustness has recently been a popular topic in reinforcement learning (RL) research, yet the existing methods generally suffer from efficiency issues that obstruct their real-world implementation. In this paper, we introduce…

Machine Learning · Computer Science 2024-04-15 Yang Hu , Haitong Ma , Bo Dai , Na Li

Identification in a regression discontinuity (RD) research design hinges on the discontinuity in the probability of treatment when a covariate (assignment variable) exceeds a known threshold. When the assignment variable is measured with…

Methodology · Statistics 2016-09-07 Zhuan Pei , Yi Shen

We propose a new method for estimating causal effects in longitudinal/panel data settings that we call generalized difference-in-differences. Our approach unifies two alternative approaches in these settings: ignorability estimators (e.g.,…

Methodology · Statistics 2023-12-12 Denis Agniel , Max Rubinstein , Jessie Coe , Maria DeYoreo

A deep reinforcement learning (DRL) agent observes its states through observations, which may contain natural measurement errors or adversarial noises. Since the observations deviate from the true states, they can mislead the agent into…

Machine Learning · Computer Science 2021-07-15 Huan Zhang , Hongge Chen , Chaowei Xiao , Bo Li , Mingyan Liu , Duane Boning , Cho-Jui Hsieh

Existing permutation-invariant methods can be divided into two categories according to the aggregation scope, i.e. global aggregation and local one. Although the global aggregation methods, e. g., PointNet and Deep Sets, get involved in…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Jiajun Fei , Ziyu Zhu , Wenlei Liu , Zhidong Deng , Mingyang Li , Huanjun Deng , Shuo Zhang
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