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We consider the problem of learning a loss function which, when minimized over a training dataset, yields a model that approximately minimizes a validation error metric. Though learning an optimal loss function is NP-hard, we present an…

Machine Learning · Computer Science 2019-07-02 Matthew Streeter

The low-dimensional manifold hypothesis posits that the data found in many applications, such as those involving natural images, lie (approximately) on low-dimensional manifolds embedded in a high-dimensional Euclidean space. In this…

Machine Learning · Computer Science 2023-02-07 Juncai He , Richard Tsai , Rachel Ward

Performing controlled experiments on noisy data is essential in understanding deep learning across noise levels. Due to the lack of suitable datasets, previous research has only examined deep learning on controlled synthetic label noise,…

Machine Learning · Computer Science 2020-08-28 Lu Jiang , Di Huang , Mason Liu , Weilong Yang

Linear encoding of sparse vectors is widely popular, but is commonly data-independent -- missing any possible extra (but a priori unknown) structure beyond sparsity. In this paper we present a new method to learn linear encoders that adapt…

In real-world datasets, noisy labels are pervasive. The challenge of learning with noisy labels (LNL) is to train a classifier that discerns the actual classes from given instances. For this, the model must identify features indicative of…

Machine Learning · Computer Science 2023-08-15 Hui Kang , Sheng Liu , Huaxi Huang , Tongliang Liu

Existing metric learning losses can be categorized into two classes: pair-based and proxy-based losses. The former class can leverage fine-grained semantic relations between data points, but slows convergence in general due to its high…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Sungyeon Kim , Dongwon Kim , Minsu Cho , Suha Kwak

It is shown that a class of optical physical unclonable functions (PUFs) can be learned to arbitrary precision with arbitrarily high probability, even in the presence of noise, given access to polynomially many challenge-response pairs and…

Machine Learning · Computer Science 2023-09-08 Apollo Albright , Boris Gelfand , Michael Dixon

In large-scale, data-driven applications, parameters are often only known approximately due to noise and limited data samples. In this paper, we focus on high-dimensional optimization problems with linear constraints under uncertain…

Optimization and Control · Mathematics 2024-03-01 Naqi Huang , Nestor Parolya , Theresia van Essen

The performance of machine learning models often relies on large labeled datasets; however, data collected from diverse sources can contain label noise. Recent work has shown that, in noisy settings, there may exist a subset of the training…

Machine Learning · Computer Science 2026-05-05 Kumar Shubham , Pavan Karjol , Kiran M K , Prathosh AP

We propose a novel framework to perform classification via deep learning in the presence of noisy annotations. When trained on noisy labels, deep neural networks have been observed to first fit the training data with clean labels during an…

Machine Learning · Computer Science 2020-10-26 Sheng Liu , Jonathan Niles-Weed , Narges Razavian , Carlos Fernandez-Granda

Noisy labeled data represent a rich source of information that often are easily accessible and cheap to obtain, but label noise might also have many negative consequences if not accounted for. How to fully utilize noisy labels has been…

Machine Learning · Statistics 2019-02-21 Karl Øyvind Mikalsen , Cristina Soguero-Ruiz , Filippo Maria Bianchi , Robert Jenssen

We consider the basic problem of learning Single-Index Models with respect to the square loss under the Gaussian distribution in the presence of adversarial label noise. Our main contribution is the first computationally efficient algorithm…

Machine Learning · Computer Science 2025-08-07 Puqian Wang , Nikos Zarifis , Ilias Diakonikolas , Jelena Diakonikolas

Learning in the presence of label noise is a challenging yet important task: it is crucial to design models that are robust in the presence of mislabeled datasets. In this paper, we discover that a new class of loss functions called the…

Machine Learning · Computer Science 2020-02-18 Liu Ziyin , Blair Chen , Ru Wang , Paul Pu Liang , Ruslan Salakhutdinov , Louis-Philippe Morency , Masahito Ueda

Learning with Noisy Labels (LNL) has attracted significant attention from the research community. Many recent LNL methods rely on the assumption that clean samples tend to have "small loss". However, this assumption always fails to…

Machine Learning · Computer Science 2022-11-17 MingCai Chen , Yu Zhao , Bing He , Zongbo Han , Bingzhe Wu , Jianhua Yao

We consider the problem of learning a one-hidden-layer neural network: we assume the input $x\in \mathbb{R}^d$ is from Gaussian distribution and the label $y = a^\top \sigma(Bx) + \xi$, where $a$ is a nonnegative vector in $\mathbb{R}^m$…

Machine Learning · Computer Science 2017-11-06 Rong Ge , Jason D. Lee , Tengyu Ma

Label noise is emerging as a pressing issue in sound event classification. This arises as we move towards larger datasets that are difficult to annotate manually, but it is even more severe if datasets are collected automatically from…

Sound · Computer Science 2019-10-29 Eduardo Fonseca , Frederic Font , Xavier Serra

The prevalence of noisy labels in real-world datasets poses a significant impediment to the effective deployment of deep learning models. While meta-learning strategies have emerged as a promising approach for addressing this challenge,…

Machine Learning · Computer Science 2025-02-12 Mengyang Li

This paper studies the classification of high-dimensional Gaussian signals from low-dimensional noisy, linear measurements. In particular, it provides upper bounds (sufficient conditions) on the number of measurements required to drive the…

Information Theory · Computer Science 2016-11-03 Hugo Reboredo , Francesco Renna , Robert Calderbank , Miguel R. D. Rodrigues

Collecting labeled data to train deep neural networks is costly and even impractical for many tasks. Thus, research effort has been focused in automatically curated datasets or unsupervised and weakly supervised learning. The common problem…

Machine Learning · Computer Science 2019-01-03 Nam Le , Jean-Marc Odobez

We study prediction and estimation problems using empirical risk minimization, relative to a general convex loss function. We obtain sharp error rates even when concentration is false or is very restricted, for example, in heavy-tailed…

Machine Learning · Statistics 2014-10-14 Shahar Mendelson
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