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We introduce collaborative learning in which multiple classifier heads of the same network are simultaneously trained on the same training data to improve generalization and robustness to label noise with no extra inference cost. It…

机器学习 · 统计学 2018-11-08 Guocong Song , Wei Chai

Deep learning empirically achieves high performance in many applications, but its training dynamics has not been fully understood theoretically. In this paper, we explore theoretical analysis on training two-layer ReLU neural networks in a…

机器学习 · 统计学 2021-06-30 Shunta Akiyama , Taiji Suzuki

A common strategy to train deep neural networks (DNNs) is to use very large architectures and to train them until they (almost) achieve zero training error. Empirically observed good generalization performance on test data, even in the…

机器学习 · 统计学 2021-07-26 Nicole Mücke , Ingo Steinwart

Deep learning methods operate in regimes that defy the traditional statistical mindset. Neural network architectures often contain more parameters than training samples, and are so rich that they can interpolate the observed labels, even if…

统计理论 · 数学 2020-12-14 Song Mei , Andrea Montanari

Aimed at explaining the surprisingly good generalization behavior of overparameterized deep networks, recent works have developed a variety of generalization bounds for deep learning, all based on the fundamental learning-theoretic…

机器学习 · 计算机科学 2021-10-19 Vaishnavh Nagarajan , J. Zico Kolter

The notion of neural collapse refers to several emergent phenomena that have been empirically observed across various canonical classification problems. During the terminal phase of training a deep neural network, the feature embedding of…

机器学习 · 计算机科学 2023-04-05 Duc Anh Nguyen , Ron Levie , Julian Lienen , Gitta Kutyniok , Eyke Hüllermeier

The success of deep neural networks is in part due to the use of normalization layers. Normalization layers like Batch Normalization, Layer Normalization and Weight Normalization are ubiquitous in practice, as they improve generalization…

机器学习 · 计算机科学 2020-06-15 Yonatan Dukler , Quanquan Gu , Guido Montúfar

We present a computational method for empirically characterizing the training loss level-sets of deep neural networks. Our method numerically constructs a path in parameter space that is constrained to a set with a fixed near-zero training…

机器学习 · 计算机科学 2021-04-27 Naveed Tahir , Garrett E. Katz

Re-initializing a neural network during training has been observed to improve generalization in recent works. Yet it is neither widely adopted in deep learning practice nor is it often used in state-of-the-art training protocols. This…

A continuing mystery in understanding the empirical success of deep neural networks is their ability to achieve zero training error and generalize well, even when the training data is noisy and there are more parameters than data points. We…

机器学习 · 计算机科学 2019-09-10 Vidya Muthukumar , Kailas Vodrahalli , Vignesh Subramanian , Anant Sahai

In this paper we propose to study generalization of neural networks on small algorithmically generated datasets. In this setting, questions about data efficiency, memorization, generalization, and speed of learning can be studied in great…

机器学习 · 计算机科学 2022-01-07 Alethea Power , Yuri Burda , Harri Edwards , Igor Babuschkin , Vedant Misra

Contemporary neural networks have achieved a series of developments and successes in many aspects; however, when exposed to data outside the training distribution, they may fail to predict correct answers. In this work, we were concerned…

计算与语言 · 计算机科学 2022-03-22 Wanshui Li , Pasquale Minervini

State-of-the-art, high capacity deep neural networks not only require large amounts of labelled training data, they are also highly susceptible to label errors in this data, typically resulting in large efforts and costs and therefore…

机器学习 · 计算机科学 2020-07-20 Christian Haase-Schütz , Rainer Stal , Heinz Hertlein , Bernhard Sick

Recently, a spate of papers have provided positive theoretical results for training over-parameterized neural networks (where the network size is larger than what is needed to achieve low error). The key insight is that with sufficient…

机器学习 · 计算机科学 2022-03-01 Gilad Yehudai , Ohad Shamir

Data augmentation is used in machine learning to make the classifier invariant to label-preserving transformations. Usually this invariance is only encouraged implicitly by including a single augmented input during training. However,…

机器学习 · 计算机科学 2022-03-08 Aleksander Botev , Matthias Bauer , Soham De

Despite the widespread empirical success of ResNet, the generalization properties of deep ResNet are rarely explored beyond the lazy training regime. In this work, we investigate \emph{scaled} ResNet in the limit of infinitely deep and wide…

机器学习 · 计算机科学 2024-03-18 Yihang Chen , Fanghui Liu , Yiping Lu , Grigorios G. Chrysos , Volkan Cevher

We propose a simple but effective multi-source domain generalization technique based on deep neural networks by incorporating optimized normalization layers that are specific to individual domains. Our approach employs multiple…

机器学习 · 计算机科学 2020-07-22 Seonguk Seo , Yumin Suh , Dongwan Kim , Geeho Kim , Jongwoo Han , Bohyung Han

The large capacity of neural networks enables them to learn complex functions. To avoid overfitting, networks however require a lot of training data that can be expensive and time-consuming to collect. A common practical approach to…

机器学习 · 计算机科学 2020-03-10 Majed El Helou , Frederike Dümbgen , Sabine Süsstrunk

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

Deep learning models have lately shown great performance in various fields such as computer vision, speech recognition, speech translation, and natural language processing. However, alongside their state-of-the-art performance, it is still…

机器学习 · 计算机科学 2019-04-09 Daniel Jakubovitz , Raja Giryes , Miguel R. D. Rodrigues