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In this work, we propose a generalized likelihood ratio method capable of training the artificial neural networks with some biological brain-like mechanisms,.e.g., (a) learning by the loss value, (b) learning via neurons with discontinuous…

Machine Learning · Computer Science 2019-07-12 Li Xiao , Yijie Peng , Jeff Hong , Zewu Ke , Shuhuai Yang

Low bit-width weights and activations are an effective way of combating the increasing need for both memory and compute power of Deep Neural Networks. In this work, we present a probabilistic training method for Neural Network with both…

Machine Learning · Computer Science 2018-09-11 Jorn W. T. Peters , Max Welling

Bayesian neural networks (BNNs) have developed into useful tools for probabilistic modelling due to recent advances in variational inference enabling large scale BNNs. However, BNNs remain brittle and hard to train, especially: (1) when…

Machine Learning · Computer Science 2019-10-24 Felix McGregor , Arnu Pretorius , Johan du Preez , Steve Kroon

Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

Machine Learning · Computer Science 2022-02-03 Michael Everett

Interpreting complex neural networks is crucial for understanding their decision-making processes, particularly in applications where transparency and accountability are essential. This proposed method addresses this need by focusing on…

Neural and Evolutionary Computing · Computer Science 2024-12-10 Deepshikha Bhati , Fnu Neha , Md Amiruzzaman , Angela Guercio , Deepak Kumar Shukla , Ben Ward

AI's widespread integration has led to neural networks (NNs) deployment on edge and similar limited-resource platforms for safety-critical scenarios. Yet, NN's fragility raises concerns about reliable inference. Moreover, constrained…

Computer Vision and Pattern Recognition · Computer Science 2023-11-22 Sawinder Kaur , Yi Xiao , Asif Salekin

We consider adversarial training of deep neural networks through the lens of Bayesian learning, and present a principled framework for adversarial training of Bayesian Neural Networks (BNNs) with certifiable guarantees. We rely on…

Machine Learning · Computer Science 2021-02-24 Matthew Wicker , Luca Laurenti , Andrea Patane , Zhoutong Chen , Zheng Zhang , Marta Kwiatkowska

Visual prompting, an efficient method for transfer learning, has shown its potential in vision tasks. However, previous works focus exclusively on VP from standard source models, it is still unknown how it performs under the scenario of a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Qi Li , Liangzhi Li , Zhouqiang Jiang , Bowen Wang

Neural networks are very successful at detecting patterns in noisy data, and have become the technology of choice in many fields. However, their usefulness is hampered by their susceptibility to adversarial attacks. Recently, many methods…

Machine Learning · Computer Science 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Matthew L. Daggitt , Wen Kokke , Guy Katz , Guy Amir , Idan Refaeli

With the growth of model and data sizes, a broad effort has been made to design pruning techniques that reduce the resource demand of deep learning pipelines, while retaining model performance. In order to reduce both inference and training…

Machine Learning · Computer Science 2026-02-24 Dayana Savostianova , Emanuele Zangrando , Gianluca Ceruti , Francesco Tudisco

Pruning methods have shown to be effective at reducing the size of deep neural networks while keeping accuracy almost intact. Among the most effective methods are those that prune a network while training it with a sparsity prior loss and…

Neural and Evolutionary Computing · Computer Science 2019-12-20 Carl Lemaire , Andrew Achkar , Pierre-Marc Jodoin

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

In safety-critical but computationally resource-constrained applications, deep learning faces two key challenges: lack of robustness against adversarial attacks and large neural network size (often millions of parameters). While the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Vikash Sehwag , Shiqi Wang , Prateek Mittal , Suman Jana

Verification of neural networks enables us to gauge their robustness against adversarial attacks. Verification algorithms fall into two categories: exact verifiers that run in exponential time and relaxed verifiers that are efficient but…

Machine Learning · Computer Science 2020-01-13 Hadi Salman , Greg Yang , Huan Zhang , Cho-Jui Hsieh , Pengchuan Zhang

Deep neural networks are known to be fragile to small adversarial perturbations. This issue becomes more critical when a neural network is interconnected with a physical system in a closed loop. In this paper, we show how to combine recent…

Machine Learning · Computer Science 2019-08-20 Yuh-Shyang Wang , Tsui-Wei Weng , Luca Daniel

Information plane (IP) analysis has been suggested to study the training dynamics of deep neural networks through mutual information (MI) between inputs, representations, and targets. However, its statistical validity is often compromised…

Machine Learning · Computer Science 2026-05-06 Maximilian Nothnagel , Bernhard C. Geiger

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

Optimization and Control · Mathematics 2025-03-04 Yuhao Zhang , Xiangru Xu

Local robustness verification can verify that a neural network is robust wrt. any perturbation to a specific input within a certain distance. We call this distance Robustness Radius. We observe that the robustness radii of correctly…

Machine Learning · Computer Science 2024-02-14 Jiangchao Liu , Liqian Chen , Antoine Mine , Ji Wang

Neuron death is a complex phenomenon with implications for model trainability: the deeper the network, the lower the probability of finding a valid initialization. In this work, we derive both upper and lower bounds on the probability that…

Machine Learning · Computer Science 2021-06-14 Blaine Rister , Daniel L. Rubin

The tremendous recent progress in analyzing the training dynamics of overparameterized neural networks has primarily focused on wide networks and therefore does not sufficiently address the role of depth in deep learning. In this work, we…

Machine Learning · Computer Science 2022-06-29 Jongmin Lee , Joo Young Choi , Ernest K. Ryu , Albert No