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We consider the question of learning $Q$-function in a sample efficient manner for reinforcement learning with continuous state and action spaces under a generative model. If $Q$-function is Lipschitz continuous, then the minimal sample…

Machine Learning · Computer Science 2020-06-12 Devavrat Shah , Dogyoon Song , Zhi Xu , Yuzhe Yang

We study non-convex empirical risk minimization for learning halfspaces and neural networks. For loss functions that are $L$-Lipschitz continuous, we present algorithms to learn halfspaces and multi-layer neural networks that achieve…

Machine Learning · Computer Science 2015-11-26 Yuchen Zhang , Jason D. Lee , Martin J. Wainwright , Michael I. Jordan

Metric learning seeks a transformation of the feature space that enhances prediction quality for the given task at hand. In this work we provide PAC-style sample complexity rates for supervised metric learning. We give matching lower- and…

Machine Learning · Computer Science 2015-05-12 Nakul Verma , Kristin Branson

Deep neural networks excel in high-dimensional problems, outperforming models such as kernel methods, which suffer from the curse of dimensionality. However, the theoretical foundations of this success remain poorly understood. We follow…

Machine Learning · Statistics 2025-10-06 Shuo Huang , Hippolyte Labarrière , Ernesto De Vito , Tomaso Poggio , Lorenzo Rosasco

In this paper, we present a new algorithm for semi-supervised representation learning. In this algorithm, we first find a vector representation for the labels of the data points based on their local positions in the space. Then, we map the…

Machine Learning · Computer Science 2020-08-05 Ershad Banijamali , Ali Ghodsi

Labels are costly and sometimes unreliable. Noisy label learning, semi-supervised learning, and contrastive learning are three different strategies for designing learning processes requiring less annotation cost. Semi-supervised learning…

Machine Learning · Computer Science 2021-11-24 Xin Zhang , Zixuan Liu , Kaiwen Xiao , Tian Shen , Junzhou Huang , Wei Yang , Dimitris Samaras , Xiao Han

Masked Image Modeling (MIM) has emerged as a promising method for deriving visual representations from unlabeled image data by predicting missing pixels from masked portions of images. It excels in region-aware learning and provides strong…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Yibing Wei , Abhinav Gupta , Pedro Morgado

The "Curse of dimensionality" is prevalent across various data patterns, which increases the risk of model overfitting and leads to a decline in model classification performance. However, few studies have focused on this issue in Partial…

Machine Learning · Computer Science 2025-06-06 Wanfu Gao , Hanlin Pan , Qingqi Han , Kunpeng Liu

We study the task of agnostically learning halfspaces under the Gaussian distribution. Specifically, given labeled examples $(\mathbf{x},y)$ from an unknown distribution on $\mathbb{R}^n \times \{ \pm 1\}$, whose marginal distribution on…

Machine Learning · Computer Science 2023-02-14 Ilias Diakonikolas , Daniel M. Kane , Lisheng Ren

We introduce a simple framework for designing private boosting algorithms. We give natural conditions under which these algorithms are differentially private, efficient, and noise-tolerant PAC learners. To demonstrate our framework, we use…

Machine Learning · Computer Science 2020-02-05 Mark Bun , Marco Leandro Carmosino , Jessica Sorrell

The existence of noisy labels in real-world data negatively impacts the performance of deep learning models. Although much research effort has been devoted to improving robustness to noisy labels in classification tasks, the problem of…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Chang Liu , Han Yu , Boyang Li , Zhiqi Shen , Zhanning Gao , Peiran Ren , Xuansong Xie , Lizhen Cui , Chunyan Miao

A variety of modern applications exhibit multi-view multi-label learning, where each sample has multi-view features, and multiple labels are correlated via common views. Current methods usually fail to directly deal with the setting where…

Machine Learning · Computer Science 2023-08-30 Zhiwei Li , Zijian Yang , Lu Sun , Mineichi Kudo , Kego Kimura

This paper explores the challenges of PAC learning in semi-enclosed environments that face persistent disruptive noise and demonstrates the weaknesses of traditional learning models based on noise-free data. We present a novel algorithm…

Machine Learning · Computer Science 2024-11-05 Shirmohammad Tavangari , Zahra Shakarami , Aref Yelghi , Asef Yelghi

Model quantization enables efficient deployment of deep neural networks on edge devices through low-bit parameter representation, yet raises critical challenges for implementing machine unlearning (MU) under data privacy regulations.…

Machine Learning · Computer Science 2025-03-19 Yujia Tong , Yuze Wang , Jingling Yuan , Chuang Hu

In traditional models of supervised learning, the goal of a learner -- given examples from an arbitrary joint distribution on $\mathbb{R}^d \times \{\pm 1\}$ -- is to output a hypothesis that is competitive (to within $\epsilon$) of the…

Machine Learning · Computer Science 2025-05-02 Gautam Chandrasekaran , Adam Klivans , Vasilis Kontonis , Raghu Meka , Konstantinos Stavropoulos

Masked image modeling (MIM) has attracted much research attention due to its promising potential for learning scalable visual representations. In typical approaches, models usually focus on predicting specific contents of masked patches,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 Haochen Wang , Kaiyou Song , Junsong Fan , Yuxi Wang , Jin Xie , Zhaoxiang Zhang

We study the problem of multiple kernel learning from noisy labels. This is in contrast to most of the previous studies on multiple kernel learning that mainly focus on developing efficient algorithms and assume perfectly labeled training…

Machine Learning · Computer Science 2012-06-22 Tianbao Yang , Mehrdad Mahdavi , Rong Jin , Lijun Zhang , Yang Zhou

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

Learning intersections of halfspaces is a central problem in Computational Learning Theory. Even for just two halfspaces, it remains a major open question whether learning is possible in polynomial time with respect to the margin $\gamma$…

Machine Learning · Computer Science 2025-11-18 Ilias Diakonikolas , Mingchen Ma , Lisheng Ren , Christos Tzamos

Humans exhibit a remarkable ability to learn quickly from a limited number of labeled samples, a capability that starkly contrasts with that of current machine learning systems. Unsupervised Few-Shot Learning (U-FSL) seeks to bridge this…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Zhenyu Zhang , Guangyao Chen , Yixiong Zou , Zhimeng Huang , Yuhua Li , Ruixuan Li
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