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Implicit deep learning has recently gained popularity with applications ranging from meta-learning to Deep Equilibrium Networks (DEQs). In its general formulation, it relies on expressing some components of deep learning pipelines…

Machine Learning · Computer Science 2023-05-25 Zaccharie Ramzi , Pierre Ablin , Gabriel Peyré , Thomas Moreau

Iterative regularization exploits the implicit bias of an optimization algorithm to regularize ill-posed problems. Constructing algorithms with such built-in regularization mechanisms is a classic challenge in inverse problems but also in…

Optimization and Control · Mathematics 2022-02-02 Cesare Molinari , Mathurin Massias , Lorenzo Rosasco , Silvia Villa

In this work, we study the implications of the implicit bias of gradient flow on generalization and adversarial robustness in ReLU networks. We focus on a setting where the data consists of clusters and the correlations between cluster…

Machine Learning · Computer Science 2023-11-01 Spencer Frei , Gal Vardi , Peter L. Bartlett , Nathan Srebro

Learning curves provide insight into the dependence of a learner's generalization performance on the training set size. This important tool can be used for model selection, to predict the effect of more training data, and to reduce the…

Machine Learning · Computer Science 2022-11-08 Tom Viering , Marco Loog

What neural networks learn depends fundamentally on the geometry of the underlying loss function. We study how different regularizers affect the geometry of this function. One of the most basic geometric properties of a smooth function is…

Machine Learning · Computer Science 2023-08-01 Nathaniel Bottman , Y. Cooper , Antonio Lerario

In recent literature there are plenty of works that combine handcrafted and learnable regularizers to solve inverse imaging problems. While this hybrid approach has demonstrated promising results, the motivation for combining handcrafted…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis

Modern policy optimization methods in reinforcement learning, such as TRPO and PPO, owe their success to the use of parameterized policies. However, while theoretical guarantees have been established for this class of algorithms, especially…

Machine Learning · Statistics 2024-02-14 Carlo Alfano , Rui Yuan , Patrick Rebeschini

Overfitting is a well-known issue in machine learning that occurs when a model struggles to generalize its predictions to new, unseen data beyond the scope of its training set. Traditional techniques to mitigate overfitting include early…

Machine Learning · Computer Science 2025-12-09 Flavio Giorgi , Fabiano Veglianti , Fabrizio Silvestri , Gabriele Tolomei

Existing NLP datasets contain various biases that models can easily exploit to achieve high performances on the corresponding evaluation sets. However, focusing on dataset-specific biases limits their ability to learn more generalizable…

Computation and Language · Computer Science 2020-10-08 Mingzhu Wu , Nafise Sadat Moosavi , Andreas Rücklé , Iryna Gurevych

We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

Image and Video Processing · Electrical Eng. & Systems 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

Overfitting is a well-known issue extending even to state-of-the-art (SOTA) Machine Learning (ML) models, resulting in reduced generalization, and a significant train-test performance gap. Mitigation measures include a combination of…

Machine Learning · Computer Science 2025-05-29 Shreyas Gururaj , Lars Grüne , Wojciech Samek , Sebastian Lapuschkin , Leander Weber

Deep (neural) networks have been applied productively in a wide range of supervised and unsupervised learning tasks. Unlike classical machine learning algorithms, deep networks typically operate in the \emph{overparameterized} regime, where…

Machine Learning · Computer Science 2019-10-14 Daniel LeJeune , Randall Balestriero , Hamid Javadi , Richard G. Baraniuk

Most research on fair machine learning has prioritized optimizing criteria such as Demographic Parity and Equalized Odds. Despite these efforts, there remains a limited understanding of how different bias mitigation strategies affect…

Machine Learning · Computer Science 2024-05-24 Natasa Krco , Thibault Laugel , Vincent Grari , Jean-Michel Loubes , Marcin Detyniecki

Meta-learning models have two objectives. First, they need to be able to make predictions over a range of task distributions while utilizing only a small amount of training data. Second, they also need to adapt to new novel unseen tasks at…

Machine Learning · Computer Science 2021-01-26 Edwin Pan , Pankaj Rajak , Shubham Shrivastava

The importance of regularization has been well established in image reconstruction -- which is the computational inversion of imaging forward model -- with applications including deconvolution for microscopy, tomographic reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2021-06-29 Sanjay Viswanath , Manu Ghulyani , Muthuvel Arigovindan

Merging models becomes a fundamental procedure in some applications that consider model efficiency and robustness. The training randomness or Non-I.I.D. data poses a huge challenge for averaging-based model fusion. Previous research efforts…

Artificial Intelligence · Computer Science 2024-08-23 Yichu Xu , Xin-Chun Li , Le Gan , De-Chuan Zhan

Over-parameterized deep models usually over-fit to a given training distribution, which makes them sensitive to small changes and out-of-distribution samples at inference time, leading to low generalization performance. To this end, several…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Saeid Asgari Taghanaki , Kumar Abhishek , Ghassan Hamarneh

Learning maps between data samples is fundamental. Applications range from representation learning, image translation and generative modeling, to the estimation of spatial deformations. Such maps relate feature vectors, or map between…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Hastings Greer , Roland Kwitt , Francois-Xavier Vialard , Marc Niethammer

This paper addresses the problem of inverse rendering from photometric images. Existing approaches for this problem suffer from the effects of self-shadows, inter-reflections, and lack of constraints on the surface reflectance, leading to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Jingzhi Bao , Guanying Chen , Shuguang Cui

In high-dimensional and/or non-parametric regression problems, regularization (or penalization) is used to control model complexity and induce desired structure. Each penalty has a weight parameter that indicates how strongly the structure…

Machine Learning · Statistics 2017-03-30 Jean Feng , Noah Simon
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