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Privacy preservation in machine learning, particularly through Differentially Private Stochastic Gradient Descent (DP-SGD), is critical for sensitive data analysis. However, existing statistical inference methods for SGD predominantly focus…

机器学习 · 统计学 2025-12-15 Xintao Xia , Linjun Zhang , Zhanrui Cai

We present a novel Bayesian approach for high-dimensional grouped regression under sparsity. We leverage a sparse projection method that uses a sparsity-inducing map to derive an induced posterior on a lower-dimensional parameter space. Our…

统计方法学 · 统计学 2026-05-25 Samhita Pal , Subhashis Ghosal

Sparse penalized quantile regression provides an effective framework for variable selection and robust estimation in high-dimensional data analysis. When ex planatory variables are organized into groups, achieving sparsity both within and…

统计计算 · 统计学 2026-04-23 Huayan Kou , Yuwen Gu , Yi Lian , Rui Zhang , Jun Fan

We propose a new method for high-dimensional semi-supervised learning problems based on the careful aggregation of the results of a low-dimensional procedure applied to many axis-aligned random projections of the data. Our primary goal is…

统计方法学 · 统计学 2023-04-19 Tengyao Wang , Edgar Dobriban , Milana Gataric , Richard J. Samworth

Network complexity and computational efficiency have become increasingly significant aspects of deep learning. Sparse deep learning addresses these challenges by recovering a sparse representation of the underlying target function by…

机器学习 · 统计学 2024-08-22 Sanket Jantre , Shrijita Bhattacharya , Tapabrata Maiti

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

计量经济学 · 经济学 2020-06-12 Matteo Mogliani , Anna Simoni

Scene Graph Generation (SGG) aims to explore the relationships between objects in images and obtain scene summary graphs, thereby better serving downstream tasks. However, the long-tailed problem has adversely affected the scene graph's…

计算机视觉与模式识别 · 计算机科学 2024-07-30 Yansheng Li , Tingzhu Wang , Kang Wu , Linlin Wang , Xin Guo , Wenbin Wang

Estimating spatial regression models on large, irregularly structured datasets poses significant computational hurdles. While Pairwise Likelihood (PL) methods offer a pathway to simplify these estimations, the efficient selection of…

统计方法学 · 统计学 2025-07-11 Giuseppe Arbia , Vincenzo Nardelli , Niccolo Salvini

In the context of variable selection, ensemble learning has gained increasing interest due to its great potential to improve selection accuracy and to reduce false discovery rate. A novel ordering-based selective ensemble learning strategy…

机器学习 · 统计学 2017-04-28 Chunxia Zhang , Yilei Wu , Mu Zhu

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

机器学习 · 统计学 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete

Stochastic Optimization is a cornerstone of operations research, providing a framework to solve optimization problems under uncertainty. Despite the development of numerous algorithms to tackle these problems, several persistent challenges…

最优化与控制 · 数学 2025-03-28 Di Zhang , Suvrajeet Sen

Posterior sampling with the spike-and-slab prior [MB88], a popular multimodal distribution used to model uncertainty in variable selection, is considered the theoretical gold standard method for Bayesian sparse linear regression [CPS09,…

机器学习 · 统计学 2025-03-05 Syamantak Kumar , Purnamrita Sarkar , Kevin Tian , Yusong Zhu

We consider the variable selection problem of generalized linear models (GLMs). Stability selection (SS) is a promising method proposed for solving this problem. Although SS provides practical variable selection criteria, it is…

机器学习 · 统计学 2025-08-06 Takashi Takahashi , Yoshiyuki Kabashima

Stochastic Gradient Descent (SGD) is a popular optimization method which has been applied to many important machine learning tasks such as Support Vector Machines and Deep Neural Networks. In order to parallelize SGD, minibatch training is…

机器学习 · 统计学 2014-05-14 Peilin Zhao , Tong Zhang

We consider the high-dimensional sparse linear regression problem of accurately estimating a sparse vector using a small number of linear measurements that are contaminated by noise. It is well known that the standard cadre of…

统计理论 · 数学 2014-02-25 Divyanshu Vats , Richard G. Baraniuk

With the prevalence of social media, there has recently been a proliferation of recommenders that shift their focus from individual modeling to group recommendation. Since the group preference is a mixture of various predilections from…

信息检索 · 计算机科学 2022-03-22 Junwei Zhang , Min Gao , Junliang Yu , Lei Guo , Jundong Li , Hongzhi Yin

We improve upon the two-stage sparse vector autoregression (sVAR) method in Davis et al. (2016) by proposing an alternative two-stage modified sVAR method which relies on time series graphical lasso to estimate sparse inverse spectral…

统计计算 · 统计学 2021-07-06 Aramayis Dallakyan , Rakheon Kim , Mohsen Pourahmadi

Stochastic gradient descent~(SGD) and its variants have become more and more popular in machine learning due to their efficiency and effectiveness. To handle large-scale problems, researchers have recently proposed several parallel SGD…

机器学习 · 统计学 2015-08-25 Shen-Yi Zhao , Wu-Jun Li

Applying Differentially Private Stochastic Gradient Descent (DPSGD) to training modern, large-scale neural networks such as transformer-based models is a challenging task, as the magnitude of noise added to the gradients at each iteration…

机器学习 · 计算机科学 2022-07-07 Ryuichi Ito , Seng Pei Liew , Tsubasa Takahashi , Yuya Sasaki , Makoto Onizuka

High-dimensional learning problems, where the number of features exceeds the sample size, often require sparse regularization for effective prediction and variable selection. While established for fully supervised data, these techniques…

机器学习 · 计算机科学 2026-01-01 The Tien Mai , Mai Anh Nguyen , Trung Nghia Nguyen
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