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Deep neural networks have achieved remarkable success in various challenging tasks. However, the black-box nature of such networks is not acceptable to critical applications, such as healthcare. In particular, the existence of adversarial…

Machine Learning · Computer Science 2019-09-12 Shaeke Salman , Seyedeh Neelufar Payrovnaziri , Xiuwen Liu , Pablo Rengifo-Moreno , Zhe He

Understanding the power of depth in feed-forward neural networks is an ongoing challenge in the field of deep learning theory. While current works account for the importance of depth for the expressive power of neural-networks, it remains…

Machine Learning · Computer Science 2019-03-11 Eran Malach , Shai Shalev-Shwartz

At rest, human brain functional networks display striking modular architecture in which coherent clusters of brain regions are activated. The modular account of brain function is pervasive, reliable, and reproducible. Yet, a complementary…

We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problems in mechanics. In this sense, we strike out in a new…

Computational Physics · Physics 2018-07-19 David Finol , Yan Lu , Vijay Mahadevan , Ankit Srivastava

Finding the common structural brain connectivity network for a given population is an open problem, crucial for current neuro-science. Recent evidence suggests there's a tightly connected network shared between humans. Obtaining this…

Neurons and Cognition · Quantitative Biology 2017-01-10 Nahuel Lascano , Guillermo Gallardo , Rachid Deriche , Dorian Mazauric , Demian Wassermann

Deep learning as represented by the artificial deep neural networks (DNNs) has achieved great success in many important areas that deal with text, images, videos, graphs, and so on. However, the black-box nature of DNNs has become one of…

Machine Learning · Computer Science 2021-09-29 Fenglei Fan , Jinjun Xiong , Mengzhou Li , Ge Wang

In this manuscript, we show that any neural network with any activation function can be represented as a decision tree. The representation is equivalence and not an approximation, thus keeping the accuracy of the neural network exactly as…

Machine Learning · Computer Science 2022-10-26 Caglar Aytekin

Neural networks have been successfully used for classification tasks in a rapidly growing number of practical applications. Despite their popularity and widespread use, there are still many aspects of training and classification that are…

Machine Learning · Computer Science 2016-05-03 Ewout van den Berg

Artificial and natural neural network models are a new toolkit which could be potentially have been used for clarifying of complex brain functions. To attend this goal, such models need to be neurobiologically realistic. However, although…

Neurons and Cognition · Quantitative Biology 2022-07-08 Arsenii Onuchin

A central question in deep learning is to understand the functions learned by deep networks. What is their approximation class? Do the learned weights and representations depend on initialization? Previous empirical work has evidenced that…

Machine Learning · Computer Science 2024-10-28 Florentin Guth , Brice Ménard , Gaspar Rochette , Stéphane Mallat

In cognitive network neuroscience, the connectivity and community structure of the brain network is related to cognition. Much of this research has focused on two measures of connectivity - modularity and flexibility - which frequently have…

Neurons and Cognition · Quantitative Biology 2017-11-28 Aurora I. Ramos-Nuñez , Simon Fischer-Baum , Randi Martin , Qiuhai Yue , Fengdan Ye , Michael W. Deem

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

The large-scale structural ingredients of the brain and neural connectomes have been identified in recent years. These are, similar to the features found in many other real networks: the arrangement of brain regions into modules and the…

Neurons and Cognition · Quantitative Biology 2018-11-01 Gorka Zamora-López , Yuhan Chen , Gustavo Deco , Morten L. Kringelbach , Changsong Zhou

Computational modeling plays an increasingly important role in neuroscience, highlighting the philosophical question of how computational models explain. In the context of neural network models for neuroscience, concerns have been raised…

Neurons and Cognition · Quantitative Biology 2021-04-15 Rosa Cao , Daniel Yamins

In this era of artificial intelligence, deep neural networks like Convolutional Neural Networks (CNNs) have emerged as front-runners, often surpassing human capabilities. These deep networks are often perceived as the panacea for all…

Computer Vision and Pattern Recognition · Computer Science 2023-11-15 Neeraj Kumar Singh , Nikhil R. Pal

Deep learning techniques are increasingly being adopted for classification tasks over the past decade, yet explaining how deep learning architectures can achieve state-of-the-art performance is still an elusive goal. While all the training…

Machine Learning · Computer Science 2021-10-12 Sakib Mostafa , Debajyoti Mondal

In recent years numerous attempts to understand the human brain were undertaken from a network point of view. A network framework takes into account the relationships between the different parts of the system and enables to examine how…

Neurons and Cognition · Quantitative Biology 2018-03-13 Nir Lahav , Baruch Ksherim , Eti Ben-Simon , Adi Maron-Katz , Reuven Cohen , Shlomo Havlin

Individual differences in human intelligence can be modeled and predicted from in vivo neurobiological connectivity. Many established modeling frameworks for predicting intelligence, however, discard higher-order information about…

Neurons and Cognition · Quantitative Biology 2022-03-07 Evan D. Anderson , Ramsey Wilcox , Anuj Nayak , Christopher Zwilling , Pablo Robles-Granda , Been Kim , Lav R. Varshney , Aron K. Barbey

Deep neural networks have achieved success across a wide range of applications, including as models of human behavior and neural representations in vision tasks. However, neural network training and human learning differ in fundamental…

Computer Vision and Pattern Recognition · Computer Science 2025-09-04 Lukas Muttenthaler , Klaus Greff , Frieda Born , Bernhard Spitzer , Simon Kornblith , Michael C. Mozer , Klaus-Robert Müller , Thomas Unterthiner , Andrew K. Lampinen

The effectiveness of deep neural architectures has been widely supported in terms of both experimental and foundational principles. There is also clear evidence that the activation function (e.g. the rectifier and the LSTM units) plays a…

Machine Learning · Computer Science 2018-10-08 Giuseppe Marra , Dario Zanca , Alessandro Betti , Marco Gori