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This paper analyzes regularization terms proposed recently for improving the adversarial robustness of deep neural networks (DNNs), from a theoretical point of view. Specifically, we study possible connections between several effective…

机器学习 · 计算机科学 2020-07-07 Yiwen Guo , Long Chen , Yurong Chen , Changshui Zhang

In the Bayesian reinforcement learning (RL) setting, a prior distribution over the unknown problem parameters -- the rewards and transitions -- is assumed, and a policy that optimizes the (posterior) expected return is sought. A common…

机器学习 · 计算机科学 2021-09-27 Aviv Tamar , Daniel Soudry , Ev Zisselman

The goal of regression and classification methods in supervised learning is to minimize the empirical risk, that is, the expectation of some loss function quantifying the prediction error under the empirical distribution. When facing scarce…

最优化与控制 · 数学 2019-07-15 Soroosh Shafieezadeh-Abadeh , Daniel Kuhn , Peyman Mohajerin Esfahani

Regularizing the input gradient has shown to be effective in promoting the robustness of neural networks. The regularization of the input's Hessian is therefore a natural next step. A key challenge here is the computational complexity.…

机器学习 · 计算机科学 2020-09-15 Waleed Mustafa , Robert A. Vandermeulen , Marius Kloft

Abstract reasoning and logic inference are difficult problems for neural networks, yet essential to their applicability in highly structured domains. In this work we demonstrate that a well known technique such as spectral regularization…

人工智能 · 计算机科学 2020-11-20 Victor Kolev , Bogdan Georgiev , Svetlin Penkov

We propose and analyze a regularization approach for structured prediction problems. We characterize a large class of loss functions that allows to naturally embed structured outputs in a linear space. We exploit this fact to design…

机器学习 · 计算机科学 2017-07-31 Carlo Ciliberto , Alessandro Rudi , Lorenzo Rosasco

Generalization beyond a training dataset is a main goal of machine learning, but theoretical understanding of generalization remains an open problem for many models. The need for a new theory is exacerbated by recent observations in deep…

机器学习 · 统计学 2022-02-08 Abdulkadir Canatar , Blake Bordelon , Cengiz Pehlevan

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

We find that sensory noise delivered together with a weak periodic signal not only enhances nonlinear response of neuronal networks, but also improves the synchronization of the response to the signal. We reveal this phenomenon in neuronal…

神经元与认知 · 定量生物学 2015-08-25 M. A. Lopes , K. -E. Lee , A. V. Goltsev , J. F. F. Mendes

Although overparameterized models have achieved remarkable practical success, their theoretical properties, particularly their generalization behavior, remain incompletely understood. The well known double descents phenomenon suggests that…

机器学习 · 统计学 2026-01-06 Haoran Zhan , Yingcun Xia

Training recurrent neural networks (RNNs) to perform neuroscience-style tasks has become a popular way to generate hypotheses for how neural circuits in the brain might perform computations. Recent work has demonstrated that task-trained…

神经元与认知 · 定量生物学 2025-09-29 William Qian , Cengiz Pehlevan

Network regularization is an effective tool for incorporating structural prior knowledge to learn coherent models over networks, and has yielded provably accurate estimates in applications ranging from spatial economics to neuroimaging…

机器学习 · 计算机科学 2020-06-02 Hongyuan You , Furkan Kocayusufoglu , Ambuj K. Singh

Regularization of Deep Neural Networks (DNNs) for the sake of improving their generalization capability is important and challenging. The development in this line benefits theoretical foundation of DNNs and promotes their usability in…

机器学习 · 计算机科学 2019-11-19 Yingzhen Yang , Jiahui Yu , Xingjian Li , Jun Huan , Thomas S. Huang

Deep neural networks possess strong representational capacity yet remain vulnerable to overfitting, primarily because neurons tend to co-adapt in ways that, while capturing complex and fine-grained feature interactions, also reinforce…

机器学习 · 计算机科学 2025-12-16 Gelesh G Omathil , Sreeja CS

Despite apparent human-level performances of deep neural networks (DNN), they behave fundamentally differently from humans. They easily change predictions when small corruptions such as blur and noise are applied on the input (lack of…

计算机视觉与模式识别 · 计算机科学 2020-03-10 Sanghyuk Chun , Seong Joon Oh , Sangdoo Yun , Dongyoon Han , Junsuk Choe , Youngjoon Yoo

Sequential Bayesian inference over predictive functions is a natural framework for continual learning from streams of data. However, applying it to neural networks has proved challenging in practice. Addressing the drawbacks of existing…

机器学习 · 统计学 2023-12-29 Tim G. J. Rudner , Freddie Bickford Smith , Qixuan Feng , Yee Whye Teh , Yarin Gal

Increasing utilization of machine learning based decision support systems emphasizes the need for resulting predictions to be both accurate and fair to all stakeholders. In this work we present a novel approach to increase a Neural Network…

机器学习 · 计算机科学 2021-11-08 Bhanu Jain , Manfred Huber , Ramez Elmasri

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, it is difficult to understand what exactly they learn. Second, they tend to work poorly on sequences requiring long-term…

机器学习 · 计算机科学 2019-05-08 Cheng Wang , Mathias Niepert

Graph Neural Networks (GNNs) have gained significant popularity for learning representations of graph-structured data due to their expressive power and scalability. However, despite their success in domains such as social network analysis,…

机器学习 · 计算机科学 2024-11-05 Maya Bechler-Speicher , Moshe Eliasof

Sequential learning, also called lifelong learning, studies the problem of learning tasks in a sequence with access restricted to only the data of the current task. In this paper we look at a scenario with fixed model capacity, and…

机器学习 · 统计学 2019-04-15 Rahaf Aljundi , Marcus Rohrbach , Tinne Tuytelaars