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Theoretically understanding stochastic gradient descent (SGD) in overparameterized models has led to the development of several optimization algorithms that are widely used in practice today. Recent work by~\citet{zou2021benign} provides…

机器学习 · 计算机科学 2025-06-19 Alexandru Meterez , Depen Morwani , Costin-Andrei Oncescu , Jingfeng Wu , Cengiz Pehlevan , Sham Kakade

Mathematical formulas are the crystallization of human wisdom in exploring the laws of nature for thousands of years. Describing the complex laws of nature with a concise mathematical formula is a constant pursuit of scientists and a great…

机器学习 · 计算机科学 2024-09-20 Yanjie Li , Jingyi Liu , Weijun Li , Lina Yu , Min Wu , Wenqiang Li , Meilan Hao , Su Wei , Yusong Deng

Meta-learning involves training models on a variety of training tasks in a way that enables them to generalize well on new, unseen test tasks. In this work, we consider meta-learning within the framework of high-dimensional multivariate…

统计理论 · 数学 2024-04-01 Yanhao Jin , Krishnakumar Balasubramanian , Debashis Paul

Expected Shortfall (ES), also known as superquantile or Conditional Value-at-Risk, has been recognized as an important measure in risk analysis and stochastic optimization, and is also finding applications beyond these areas. In finance, it…

统计方法学 · 统计学 2022-12-13 Xuming He , Kean Ming Tan , Wen-Xin Zhou

The scarcity of labeled data often impedes the application of deep learning to the segmentation of medical images. Semi-supervised learning seeks to overcome this limitation by exploiting unlabeled examples in the learning process. In this…

计算机视觉与模式识别 · 计算机科学 2021-06-25 Jizong Peng , Marco Pedersoli , Christian Desrosiers

We propose a novel framework for incorporating unlabeled data into semi-supervised classification problems, where scenarios involving the minimization of either i) adversarially robust or ii) non-robust loss functions have been considered.…

With the increasing multimedia information, multimodal recommendation has received extensive attention. It utilizes multimodal information to alleviate the data sparsity problem in recommendation systems, thus improving recommendation…

信息检索 · 计算机科学 2024-03-01 Jinfeng Xu , Zheyu Chen , Shuo Yang , Jinze Li , Hewei Wang , Edith C. -H. Ngai

Using information-theoretic principles, we consider the generalization error (gen-error) of iterative semi-supervised learning (SSL) algorithms that iteratively generate pseudo-labels for a large amount of unlabelled data to progressively…

机器学习 · 计算机科学 2022-09-20 Haiyun He , Hanshu Yan , Vincent Y. F. Tan

In scientific machine learning, regression networks have been recently applied to approximate solution maps (e.g., potential-ground state map of Schr\"odinger equation). In this paper, we aim to reduce the generalization error without…

数值分析 · 数学 2021-02-16 Zhihan Li , Yuwei Fan , Lexing Ying

Different types of training data have led to numerous schemes for supervised classification. Current learning techniques are tailored to one specific scheme and cannot handle general ensembles of training data. This paper presents a…

机器学习 · 统计学 2020-10-20 Santiago Mazuelas , Aritz Perez

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

机器学习 · 统计学 2022-05-04 Thomas Lartigue , Sach Mukherjee

Score-based generative models (SGMs) are a popular family of deep generative models that achieve leading image generation quality. Early studies extend SGMs to tackle class-conditional generation by coupling an unconditional SGM with the…

计算机视觉与模式识别 · 计算机科学 2024-02-08 Paul Kuo-Ming Huang , Si-An Chen , Hsuan-Tien Lin

Given a task of predicting $Y$ from $X$, a loss function $L$, and a set of probability distributions $\Gamma$ on $(X,Y)$, what is the optimal decision rule minimizing the worst-case expected loss over $\Gamma$? In this paper, we address…

机器学习 · 统计学 2017-07-05 Farzan Farnia , David Tse

In video surveillance, person re-identification is the task of searching person images in non-overlapping cameras. Though supervised methods for person re-identification have attained impressive performance, obtaining large scale cross-view…

计算机视觉与模式识别 · 计算机科学 2019-10-10 T M Feroz Ali , Subhasis Chaudhuri

Regularized linear regression is a promising approach for binary classification problems in which the training set has noisy labels since the regularization term can help to avoid interpolating the mislabeled data points. In this paper we…

机器学习 · 计算机科学 2023-11-07 Danil Akhtiamov , Reza Ghane , Babak Hassibi

We consider the problem of sequentially learning to estimate, in the mean squared error (MSE) sense, a Gaussian $K$-vector of unknown covariance by observing only $m < K$ of its entries in each round. We propose two MSE estimators, and…

机器学习 · 计算机科学 2025-05-05 Ayon Ghosh , L. A. Prashanth , Dipayan Sen , Aditya Gopalan

Estimating the Generalization Error (GE) of Deep Neural Networks (DNNs) is an important task that often relies on availability of held-out data. The ability to better predict GE based on a single training set may yield overarching DNN…

机器学习 · 计算机科学 2022-07-20 Angus Galloway , Anna Golubeva , Mahmoud Salem , Mihai Nica , Yani Ioannou , Graham W. Taylor

Empirical Risk Minimization (ERM) based machine learning algorithms have suffered from weak generalization performance on data obtained from out-of-distribution (OOD). To address this problem, Invariant Risk Minimization (IRM) objective was…

机器学习 · 计算机科学 2021-03-25 Jun-Hyun Bae , Inchul Choi , Minho Lee

R\'enyi's information provides a theoretical foundation for tractable and data-efficient non-parametric density estimation, based on pair-wise evaluations in a reproducing kernel Hilbert space (RKHS). This paper extends this framework to…

机器学习 · 计算机科学 2022-03-09 Bo Hu , Shujian Yu , Jose C. Principe

Recent semi-supervised learning (SSL) methods are commonly based on pseudo labeling. Since the SSL performance is greatly influenced by the quality of pseudo labels, mutual learning has been proposed to effectively suppress the noises in…

计算机视觉与模式识别 · 计算机科学 2021-12-28 Pan Zhang , Bo Zhang , Ting Zhang , Dong Chen , Fang Wen