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Understanding when learning is statistically possible yet computationally hard is a central challenge in high-dimensional statistics. In this work, we investigate this question in the context of single- and multi-index models, classes of…

Machine Learning · Statistics 2026-03-19 Leonardo Defilippis , Florent Krzakala , Bruno Loureiro , Antoine Maillard

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

Weakly Supervised Semantic Segmentation (WSSS) is a challenging task aiming to learn the segmentation labels from class-level labels. In the literature, exploiting the information obtained from Class Activation Maps (CAMs) is widely used…

Computer Vision and Pattern Recognition · Computer Science 2022-11-24 Cenk Bircanoglu , Nafiz Arica

One crucial factor behind the success of deep learning lies in the implicit bias induced by noise inherent in gradient-based training algorithms. Motivated by empirical observations that training with noisy labels improves model…

Machine Learning · Computer Science 2026-03-12 Tongcheng Zhang , Zhanpeng Zhou , Mingze Wang , Andi Han , Wei Huang , Taiji Suzuki , Junchi Yan

We study the problem of learning nonparametric distributions in a finite mixture, and establish tight bounds on the sample complexity for learning the component distributions in such models. Namely, we are given i.i.d. samples from a pdf…

Machine Learning · Computer Science 2023-07-06 Bryon Aragam , Wai Ming Tai

Most existing distance metric learning methods assume perfect side information that is usually given in pairwise or triplet constraints. Instead, in many real-world applications, the constraints are derived from side information, such as…

Machine Learning · Computer Science 2012-03-19 Kaizhu Huang , Rong Jin , Zenglin Xu , Cheng-Lin Liu

Sparse high-dimensional functions have arisen as a rich framework to study the behavior of gradient-descent methods using shallow neural networks, showcasing their ability to perform feature learning beyond linear models. Amongst those…

Machine Learning · Computer Science 2023-10-26 Joan Bruna , Loucas Pillaud-Vivien , Aaron Zweig

Recent unsupervised contrastive representation learning follows a Single Instance Multi-view (SIM) paradigm where positive pairs are usually constructed with intra-image data augmentation. In this paper, we propose an effective approach…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Xiangxiang Chu , Xiaohang Zhan , Bo Zhang

We develop the first active learning method for contextual linear optimization. Specifically, we introduce a label acquisition algorithm that sequentially decides whether to request the ``labels'' of feature samples from an unlabeled data…

Machine Learning · Computer Science 2025-01-31 Mo Liu , Paul Grigas , Heyuan Liu , Zuo-Jun Max Shen

In this paper, we propose a novel framework for speech-image retrieval. We utilize speech-image contrastive (SIC) learning tasks to align speech and image representations at a coarse level and speech-image matching (SIM) learning tasks to…

Computation and Language · Computer Science 2024-09-12 Lifeng Zhou , Yuke Li

In a semi-supervised learning scenario, (possibly noisy) partially observed labels are used as input to train a classifier, in order to assign labels to unclassified samples. In this paper, we study this classifier learning problem from a…

Machine Learning · Computer Science 2017-07-21 Gene Cheung , Weng-Tai Su , Yu Mao , Chia-Wen Lin

We propose a two-step pseudo-maximum likelihood procedure for semiparametric single-index regression models where the conditional variance is a known function of the regression and an additional parameter. The Poisson single-index…

Statistics Theory · Mathematics 2017-04-27 Marian Hristache , Weiyu Li , Valentin Patilea

We study the problem of gradient descent learning of a single-index target function $f_*(\boldsymbol{x}) = \textstyle\sigma_*\left(\langle\boldsymbol{x},\boldsymbol{\theta}\rangle\right)$ under isotropic Gaussian data in $\mathbb{R}^d$,…

Machine Learning · Computer Science 2024-12-24 Jason D. Lee , Kazusato Oko , Taiji Suzuki , Denny Wu

We focus on the challenging problem of learning an unbiased classifier from a large number of potentially relevant but noisily labeled web images given only a few clean labeled images. This problem is particularly practical because it…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Chao Liang , Linchao Zhu , Zongxin Yang , Wei Chen , Yi Yang

Assessing the similarity of two images is a complex task that attracts significant efforts in the image processing community. The widely used Structural Similarity Index Measure (SSIM) addresses this problem by quantifying a perceptual…

Numerical Analysis · Mathematics 2022-11-29 Francesco Marchetti , Gabriele Santin

We consider the problem of estimating how well a model class is capable of fitting a distribution of labeled data. We show that it is often possible to accurately estimate this "learnability" even when given an amount of data that is too…

Machine Learning · Computer Science 2019-03-26 Weihao Kong , Gregory Valiant

Image compression is a fundamental research field and many well-known compression standards have been developed for many decades. Recently, learned compression methods exhibit a fast development trend with promising results. However, there…

Image and Video Processing · Electrical Eng. & Systems 2020-03-31 Zhengxue Cheng , Heming Sun , Masaru Takeuchi , Jiro Katto

There is a growing need for models that are interpretable and have reduced energy and computational cost (e.g., in health care analytics and federated learning). Examples of algorithms to train such models include logistic regression and…

Machine Learning · Computer Science 2023-02-21 Tyler Sypherd , Nathan Stromberg , Richard Nock , Visar Berisha , Lalitha Sankar

The Structural Similarity (SSIM) Index is a very widely used image/video quality model that continues to play an important role in the perceptual evaluation of compression algorithms, encoding recipes and numerous other image/video…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 Abhinau K. Venkataramanan , Chengyang Wu , Alan C. Bovik , Ioannis Katsavounidis , Zafar Shahid

In many applications, the training data, from which one needs to learn a classifier, is corrupted with label noise. Many standard algorithms such as SVM perform poorly in presence of label noise. In this paper we investigate the robustness…

Machine Learning · Computer Science 2015-09-11 Aritra Ghosh , Naresh Manwani , P. S. Sastry