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Although modern deep learning often relies on massive over-parameterized models, the fundamental interplay between capacity, sparsity, and robustness in low-capacity networks remains a vital area of study. We introduce a controlled…

机器学习 · 计算机科学 2025-07-23 Yash Kumar

In recent years, new regularization methods based on (deep) neural networks have shown very promising empirical performance for the numerical solution of ill-posed problems, e.g., in medical imaging and imaging science. Due to the…

数值分析 · 数学 2024-06-07 Tim Jahn , Bangti Jin

3D shape matching is a long-standing problem in computer vision and computer graphics. While deep neural networks were shown to lead to state-of-the-art results in shape matching, existing learning-based approaches are limited in the…

计算机视觉与模式识别 · 计算机科学 2022-07-21 Dongliang Cao , Florian Bernard

While deep learning is successful in a number of applications, it is not yet well understood theoretically. A satisfactory theoretical characterization of deep learning however, is beginning to emerge. It covers the following questions: 1)…

机器学习 · 计算机科学 2019-08-27 Tomaso Poggio , Andrzej Banburski , Qianli Liao

Unsupervised and self-supervised learning approaches have become a crucial tool to learn representations for downstream prediction tasks. While these approaches are widely used in practice and achieve impressive empirical gains, their…

机器学习 · 计算机科学 2020-10-23 Siddhant Garg , Yingyu Liang

Despite the extreme popularity of deep learning in science and industry, its formal understanding is limited. This thesis puts forth notions of rank as key for developing a theory of deep learning, focusing on the fundamental aspects of…

机器学习 · 计算机科学 2024-12-31 Noam Razin

The success of modern deep learning is attributed to two key elements: huge amounts of training data and large model sizes. Where a vast amount of data allows the model to learn more features, the large model architecture boosts the…

机器学习 · 计算机科学 2024-10-08 Muhammad Asif Khan , Ridha Hamila , Hamid Menouar

Normalization techniques are essential for accelerating the training and improving the generalization of deep neural networks (DNNs), and have successfully been used in various applications. This paper reviews and comments on the past,…

机器学习 · 计算机科学 2020-09-29 Lei Huang , Jie Qin , Yi Zhou , Fan Zhu , Li Liu , Ling Shao

Many techniques have been developed, such as model compression, to make Deep Neural Networks (DNNs) inference more efficiently. Nevertheless, DNNs still lack excellent run-time dynamic inference capability to enable users trade-off accuracy…

计算机视觉与模式识别 · 计算机科学 2020-09-15 Li Yang , Zhezhi He , Yu Cao , Deliang Fan

Although the deep structure guarantees the powerful expressivity of deep networks (DNNs), it also triggers serious overfitting problem. To improve the generalization capacity of DNNs, many strategies were developed to improve the diversity…

机器学习 · 计算机科学 2021-04-06 Chenguang Zhang , Yuexian Hou , Dawei Song , Liangzhu Ge , Yaoshuai Yao

Deep learning based on artificial neural networks is a powerful machine learning method that, in the last few years, has been successfully used to realize tasks, e.g., image classification, speech recognition, translation of languages,…

信息论 · 计算机科学 2019-06-18 Alessio Zappone , Marco Di Renzo , Mérouane Debbah , Thanh Tu Lam , Xuewen Qian

Dropout Regularization, serving to reduce variance, is nearly ubiquitous in Deep Learning models. We explore the relationship between the dropout rate and model complexity by training 2,000 neural networks configured with random…

机器学习 · 计算机科学 2021-08-30 Christopher Sun , Jai Sharma , Milind Maiti

In most practical settings and theoretical analyses, one assumes that a model can be trained until convergence. However, the growing complexity of machine learning datasets and models may violate such assumptions. Indeed, current approaches…

计算机视觉与模式识别 · 计算机科学 2020-07-01 Mengtian Li , Ersin Yumer , Deva Ramanan

While much work has been devoted to understanding the implicit (and explicit) regularization of deep nonlinear networks in the supervised setting, this paper focuses on unsupervised learning, i.e., autoencoders are trained with the…

机器学习 · 计算机科学 2021-10-25 Harald Steck , Dario Garcia Garcia

Regularization is typically understood as improving generalization by altering the landscape of local extrema to which the model eventually converges. Deep neural networks (DNNs), however, challenge this view: We show that removing…

机器学习 · 计算机科学 2019-06-03 Aditya Golatkar , Alessandro Achille , Stefano Soatto

Scaling model capacity has been vital in the success of deep learning. For a typical network, necessary compute resources and training time grow dramatically with model size. Conditional computation is a promising way to increase the number…

机器学习 · 计算机科学 2018-11-14 Louis Kirsch , Julius Kunze , David Barber

The generalization error of deep neural networks via their classification margin is studied in this work. Our approach is based on the Jacobian matrix of a deep neural network and can be applied to networks with arbitrary non-linearities…

机器学习 · 统计学 2017-07-04 Jure Sokolic , Raja Giryes , Guillermo Sapiro , Miguel R. D. Rodrigues

Most deep architectures for image classification--even those that are trained to classify a large number of diverse categories--learn shared image representations with a single model. Intuitively, however, categories that are more similar…

计算机视觉与模式识别 · 计算机科学 2018-03-20 Calvin Murdock , Zhen Li , Howard Zhou , Tom Duerig

Randomized Neural Networks explore the behavior of neural systems where the majority of connections are fixed, either in a stochastic or a deterministic fashion. Typical examples of such systems consist of multi-layered neural network…

机器学习 · 计算机科学 2021-02-03 Claudio Gallicchio , Simone Scardapane

Training a deep neural network to maximize a target objective has become the standard recipe for successful machine learning over the last decade. These networks can be optimized with supervised learning, if the target objective is…

机器学习 · 计算机科学 2025-05-12 Bernhard Jaeger , Andreas Geiger
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