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The need for more transparency of the decision-making processes in artificial neural networks steadily increases driven by their applications in safety critical and ethically challenging domains such as autonomous driving or medical…

Neural and Evolutionary Computing · Computer Science 2020-05-12 Richard Meyes , Constantin Waubert de Puiseau , Andres Posada-Moreno , Tobias Meisen

Recurrent Neural Networks (RNNs) are very successful at solving challenging problems with sequential data. However, this observed efficiency is not yet entirely explained by theory. It is known that a certain class of multiplicative RNNs…

Machine Learning · Computer Science 2019-01-31 Valentin Khrulkov , Oleksii Hrinchuk , Ivan Oseledets

Unrolled networks have become prevalent in various computer vision and imaging tasks. Although they have demonstrated remarkable efficacy in solving specific computer vision and computational imaging tasks, their adaptation to other…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Eric Chen , Xi Chen , Arian Maleki , Shirin Jalali

Although neural networks are widely used, it remains challenging to formally verify the safety and robustness of neural networks in real-world applications. Existing methods are designed to verify the network before deployment, which are…

Machine Learning · Computer Science 2023-02-06 Tianhao Wei , Changliu Liu

The brain modifies its synaptic strengths during learning in order to better adapt to its environment. However, the underlying plasticity rules that govern learning are unknown. Many proposals have been suggested, including Hebbian…

Neurons and Cognition · Quantitative Biology 2020-12-09 Aran Nayebi , Sanjana Srivastava , Surya Ganguli , Daniel L. K. Yamins

Linear networks provide valuable insights into the workings of neural networks in general. This paper identifies conditions under which the gradient flow provably trains a linear network, in spite of the non-strict saddle points present in…

Optimization and Control · Mathematics 2020-06-30 Armin Eftekhari

This literature review studies the field of automated process extraction, i.e., transforming textual descriptions into structured processes using Natural Language Processing (NLP). We found that Machine Learning (ML) / Deep Learning (DL)…

Computation and Language · Computer Science 2024-09-24 William Van Woensel , Soroor Motie

Network pruning reduces the size of neural networks by removing (pruning) neurons such that the performance drop is minimal. Traditional pruning approaches focus on designing metrics to quantify the usefulness of a neuron which is often…

Computer Vision and Pattern Recognition · Computer Science 2021-11-01 Shehryar Malik , Muhammad Umair Haider , Omer Iqbal , Murtaza Taj

The machine learning problem of extracting neural network parameters has been proposed for nearly three decades. Functionally equivalent extraction is a crucial goal for research on this problem. When the adversary has access to the raw…

Cryptography and Security · Computer Science 2024-09-19 Yi Chen , Xiaoyang Dong , Jian Guo , Yantian Shen , Anyu Wang , Xiaoyun Wang

Complex networks are everywhere. They appear for example in the form of biological networks, social networks, or computer networks and have been studied extensively. Efficient algorithms to solve problems on complex networks play a central…

Discrete Mathematics · Computer Science 2020-06-26 Jan Dreier , Philipp Kuinke , Peter Rossmanith

Deep learning is recognized to be capable of discovering deep features for representation learning and pattern recognition without requiring elegant feature engineering techniques by taking advantage of human ingenuity and prior knowledge.…

Machine Learning · Computer Science 2020-04-02 Zhi Han , Siquan Yu , Shao-Bo Lin , Ding-Xuan Zhou

With the rapid development of deep learning, the sizes of neural networks become larger and larger so that the training and inference often overwhelm the hardware resources. Given the fact that neural networks are often over-parameterized,…

Machine Learning · Computer Science 2022-06-20 Zhangheng Li , Tianlong Chen , Linyi Li , Bo Li , Zhangyang Wang

In theory, a neural network can be trained to act as an artificial specification for a program by showing it samples of the programs executions. In practice, the training turns out to be very hard. Programs often operate on discrete domains…

Software Engineering · Computer Science 2018-09-18 I. S. W. B. Prasetya , Minh An Tran

Neural Networks (NNs) have increasingly apparent safety implications commensurate with their proliferation in real-world applications: both unanticipated as well as adversarial misclassifications can result in fatal outcomes. As a…

Machine Learning · Computer Science 2021-04-20 Haitham Khedr , James Ferlez , Yasser Shoukry

Neural networks can learn complex, non-convex functions, and it is challenging to guarantee their correct behavior in safety-critical contexts. Many approaches exist to find failures in networks (e.g., adversarial examples), but these…

In this article we present new results on neural networks with linear threshold activation functions. We precisely characterize the class of functions that are representable by such neural networks and show that 2 hidden layers are…

Machine Learning · Computer Science 2023-10-20 Sammy Khalife , Hongyu Cheng , Amitabh Basu

Given a neural network, training data, and a threshold, it was known that it is NP-hard to find weights for the neural network such that the total error is below the threshold. We determine the algorithmic complexity of this fundamental…

Computational Complexity · Computer Science 2021-11-22 Mikkel Abrahamsen , Linda Kleist , Tillmann Miltzow

Machine-learning models are ubiquitous. In some domains, for instance, in medicine, the models' predictions must be interpretable. Decision trees, classification rules, and subgroup discovery are three broad categories of supervised…

Machine Learning · Computer Science 2022-04-29 Vadim Arzamasov , Benjamin Jochum , Klemens Böhm

We introduce a new framework for the analysis of the dynamics of networks, based on randomly reinforced urn (RRU) processes, in which the weight of the edges is determined by a reinforcement mechanism. We rigorously explain the empirical…

Physics and Society · Physics 2012-03-08 Guido Caldarelli , Alessandro Chessa , Irene Crimaldi , Fabio Pammolli

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang