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Stochastic gradient descent (SGD), which dates back to the 1950s, is one of the most popular and effective approaches for performing stochastic optimization. Research on SGD resurged recently in machine learning for optimizing convex loss…

机器学习 · 计算机科学 2019-12-24 Jie Chen , Ronny Luss

A new trend in deep learning, represented by Mutual Information Neural Estimation (MINE) and Information Noise Contrast Estimation (InfoNCE), is emerging. In this trend, similarity functions and Estimated Mutual Information (EMI) are used…

信息论 · 计算机科学 2023-05-25 Chenguang Lu

In this work, we revisit the semi-supervised learning (SSL) problem from a new perspective of explicitly reducing empirical distribution mismatch between labeled and unlabeled samples. Benefited from this new perspective, we first propose a…

计算机视觉与模式识别 · 计算机科学 2022-03-15 Feiyu Wang , Qin Wang , Wen Li , Dong Xu , Luc Van Gool

Regularized linear regression is central to machine learning, yet its high-dimensional behavior with informative priors remains poorly understood. We provide the first exact asymptotic characterization of training and test risks for maximum…

机器学习 · 统计学 2026-01-28 Malik Tiomoko , Ekkehard Schnoor

Stochastic gradient descent (SGD) is commonly used for optimization in large-scale machine learning problems. Langford et al. (2009) introduce a sparse online learning method to induce sparsity via truncated gradient. With high-dimensional…

机器学习 · 统计学 2017-05-10 Yuting Ma , Tian Zheng

The stochastic gradient descent (SGD) optimization algorithm plays a central role in a series of machine learning applications. The scientific literature provides a vast amount of upper error bounds for the SGD method. Much less attention…

数值分析 · 数学 2020-10-05 Arnulf Jentzen , Philippe von Wurstemberger

Acquiring labels are often costly, whereas unlabeled data are usually easy to obtain in modern machine learning applications. Semi-supervised learning provides a principled machine learning framework to address such situations, and has been…

机器学习 · 计算机科学 2017-04-07 Trung Le , Khanh Nguyen , Van Nguyen , Vu Nguyen , Dinh Phung

Supervised learning is all about the ability to generalize knowledge. Specifically, the goal of the learning is to train a classifier using training data, in such a way that it will be capable of classifying new unseen data correctly. In…

机器学习 · 计算机科学 2011-04-04 Ido Ginodi , Amir Globerson

Information-theoretic quantities like entropy and mutual information have found numerous uses in machine learning. It is well known that there is a strong connection between these entropic quantities and submodularity since entropy over a…

机器学习 · 计算机科学 2021-03-04 Rishabh Iyer , Ninad Khargonkar , Jeff Bilmes , Himanshu Asnani

Lack of labeled data is a main obstacle in relation extraction. Semi-supervised relation extraction (SSRE) has been proven to be a promising way for this problem through annotating unlabeled samples as additional training data. Almost all…

计算与语言 · 计算机科学 2021-12-03 Wanli Li , Tieyun Qian

Stochastic gradient descent (SGD) exhibits strong algorithmic regularization effects in practice and plays an important role in the generalization of modern machine learning. However, prior research has revealed instances where the…

机器学习 · 计算机科学 2024-05-28 Junwei Su , Difan Zou , Chuan Wu

Self-supervised learning is a popular and powerful method for utilizing large amounts of unlabeled data, for which a wide variety of training objectives have been proposed in the literature. In this study, we perform a Bayesian analysis of…

机器学习 · 计算机科学 2023-02-08 Emanuele Sansone , Robin Manhaeve

Data fusion enables powerful and generalizable analyses across multiple sources. However, different data collection capacities across different sources lead to blockwise missingness (BM), which poses challenges in practice. Meanwhile, the…

统计方法学 · 统计学 2025-12-09 Yiming Li , Ying Wei , Molei Liu

Distribution regression refers to the supervised learning problem where labels are only available for groups of inputs instead of individual inputs. In this paper, we develop a rigorous mathematical framework for distribution regression…

机器学习 · 计算机科学 2021-09-30 Maud Lemercier , Cristopher Salvi , Theodoros Damoulas , Edwin V. Bonilla , Terry Lyons

Most sentence embedding techniques heavily rely on expensive human-annotated sentence pairs as the supervised signals. Despite the use of large-scale unlabeled data, the performance of unsupervised methods typically lags far behind that of…

计算与语言 · 计算机科学 2022-11-01 Yiming Chen , Yan Zhang , Bin Wang , Zuozhu Liu , Haizhou Li

This paper investigates methods for improving generative data augmentation for deep learning. Generative data augmentation leverages the synthetic samples produced by generative models as an additional dataset for classification with small…

机器学习 · 计算机科学 2023-10-24 Shin'ya Yamaguchi , Daiki Chijiwa , Sekitoshi Kanai , Atsutoshi Kumagai , Hisashi Kashima

In recent years, great progress has been made to incorporate unlabeled data to overcome the inefficiently supervised problem via semi-supervised learning (SSL). Most state-of-the-art models are based on the idea of pursuing consistent model…

机器学习 · 计算机科学 2022-09-27 Yangbangyan Jiang , Xiaodan Li , Yuefeng Chen , Yuan He , Qianqian Xu , Zhiyong Yang , Xiaochun Cao , Qingming Huang

We consider the problem of distributed mean estimation (DME), in which $n$ machines are each given a local $d$-dimensional vector $x_v \in \mathbb{R}^d$, and must cooperate to estimate the mean of their inputs $\mu = \frac 1n\sum_{v = 1}^n…

机器学习 · 计算机科学 2021-04-08 Peter Davies , Vijaykrishna Gurunathan , Niusha Moshrefi , Saleh Ashkboos , Dan Alistarh

Stochastic gradient descent (SGD) method is popular for solving non-convex optimization problems in machine learning. This work investigates SGD from a viewpoint of graduated optimization, which is a widely applied approach for non-convex…

最优化与控制 · 数学 2023-08-15 Da Li , Jingjing Wu , Qingrun Zhang

Stochastic gradient descent (SGD) exhibits strong algorithmic regularization effects in practice, which has been hypothesized to play an important role in the generalization of modern machine learning approaches. In this work, we seek to…

机器学习 · 计算机科学 2022-07-12 Difan Zou , Jingfeng Wu , Vladimir Braverman , Quanquan Gu , Dean P. Foster , Sham M. Kakade