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In hearing aids, the presence of babble noise degrades hearing intelligibility of human speech greatly. However, removing the babble without creating artifacts in human speech is a challenging task in a low SNR environment. Here, we sought…

Machine Learning · Computer Science 2016-09-23 Se Rim Park , Jinwon Lee

The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. Despite the reputation of learned NN models to behave as black boxes and…

Artificial Intelligence · Computer Science 2018-05-23 Rudy Bunel , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

Artificial neural networks (ANNs) especially deep convolutional networks are very popular these days and have been proved to successfully offer quite reliable solutions to many vision problems. However, the use of deep neural networks is…

Machine Learning · Computer Science 2020-07-28 Yangzi Guo , Yiyuan She , Adrian Barbu

This paper presents an algorithm for searching for the minimum number of neurons in fully connected layers of an arbitrary network solving given problem, which does not require multiple training of the network with different number of…

Machine Learning · Computer Science 2024-05-24 Oleg I. Berngardt

Neural network pruning is a popular technique used to reduce the inference costs of modern, potentially overparameterized, networks. Starting from a pre-trained network, the process is as follows: remove redundant parameters, retrain, and…

Machine Learning · Computer Science 2021-03-05 Lucas Liebenwein , Cenk Baykal , Brandon Carter , David Gifford , Daniela Rus

The problem of probabilistic verification of a neural network investigates the probability of satisfying the safe constraints in the output space when the input is given by a probability distribution. It is significant to answer this…

Artificial Intelligence · Computer Science 2026-04-24 Jingyang Li , Xin Chen , Hongfei Fu , Guoqiang Li

Verifying robustness of neural network classifiers has attracted great interests and attention due to the success of deep neural networks and their unexpected vulnerability to adversarial perturbations. Although finding minimum adversarial…

Machine Learning · Statistics 2018-11-30 Akhilan Boopathy , Tsui-Wei Weng , Pin-Yu Chen , Sijia Liu , Luca Daniel

We present a scalable and precise verifier for recurrent neural networks, called Prover based on two novel ideas: (i) a method to compute a set of polyhedral abstractions for the non-convex and nonlinear recurrent update functions by…

Machine Learning · Computer Science 2021-06-14 Wonryong Ryou , Jiayu Chen , Mislav Balunovic , Gagandeep Singh , Andrei Dan , Martin Vechev

Neural networks have been widely used to solve complex real-world problems. Due to the complicate, nonlinear, non-convex nature of neural networks, formal safety guarantees for the output behaviors of neural networks will be crucial for…

Machine Learning · Computer Science 2017-12-25 Weiming Xiang , Hoang-Dung Tran , Taylor T. Johnson

This work introduces HyParLyVe (Hyperplane Partitioned Lyapunov Verifier), a novel algorithm for sound and complete verification of neural Lyapunov candidates by interpreting shallow ReLU networks as hyperplane arrangements. This…

Systems and Control · Electrical Eng. & Systems 2026-05-06 Jesse Wayment , Brian Yarbrough , Jingbo Wang , Shreyas Sundaram , Philip E. Paré

Sparsifying neural networks often suffers from seemingly inevitable performance degradation, and it remains challenging to restore the original performance despite much recent progress. Motivated by recent studies in robust optimization, we…

Machine Learning · Computer Science 2025-06-17 Dongyeop Lee , Kwanhee Lee , Jinseok Chung , Namhoon Lee

We introduce and analyze a new technique for model reduction for deep neural networks. While large networks are theoretically capable of learning arbitrarily complex models, overfitting and model redundancy negatively affects the prediction…

Machine Learning · Computer Science 2017-11-27 Alireza Aghasi , Afshin Abdi , Nam Nguyen , Justin Romberg

Efficiently solving constrained optimization problems is crucial for numerous real-world applications, yet traditional solvers are often computationally prohibitive for real-time use. Machine learning-based approaches have emerged as a…

Machine Learning · Computer Science 2025-10-27 Hoang T. Nguyen , Priya L. Donti

Deep neural networks (NN) are extensively used for machine learning tasks such as image classification, perception and control of autonomous systems. Increasingly, these deep NNs are also been deployed in high-assurance applications. Thus,…

Machine Learning · Computer Science 2017-09-27 Souradeep Dutta , Susmit Jha , Sriram Sanakaranarayanan , Ashish Tiwari

Artificial neural network pruning is a method in which artificial neural network sizes can be reduced while attempting to preserve the predicting capabilities of the network. This is done to make the model smaller or faster during inference…

Machine Learning · Computer Science 2025-05-21 Alexandre Broggi , Nathaniel Bastian , Lance Fiondella , Gokhan Kul

The verification problem for neural networks is verifying whether a neural network will suffer from adversarial samples, or approximating the maximal allowed scale of adversarial perturbation that can be endured. While most prior work…

Machine Learning · Computer Science 2018-11-16 Qinglong Wang , Kaixuan Zhang , Xue Liu , C. Lee Giles

For deep neural networks (DNNs) to be used in safety-critical autonomous driving tasks, it is desirable to monitor in operation time if the input for the DNN is similar to the data used in DNN training. While recent results in monitoring…

Machine Learning · Computer Science 2021-09-28 Chih-Hong Cheng

Verification plays an essential role in the formal analysis of safety-critical systems. Most current verification methods have specific requirements when working on Deep Neural Networks (DNNs). They either target one particular network…

Machine Learning · Computer Science 2023-04-04 Chi Zhang , Wenjie Ruan , Fu Wang , Peipei Xu , Geyong Min , Xiaowei Huang

This paper presents Verisig, a hybrid system approach to verifying safety properties of closed-loop systems using neural networks as controllers. Although techniques exist for verifying input/output properties of the neural network itself,…

Systems and Control · Computer Science 2018-11-06 Radoslav Ivanov , James Weimer , Rajeev Alur , George J. Pappas , Insup Lee

We investigate the computational complexity of various problems for simple recurrent neural networks (RNNs) as formal models for recognizing weighted languages. We focus on the single-layer, ReLU-activation, rational-weight RNNs with…

Formal Languages and Automata Theory · Computer Science 2018-03-06 Yining Chen , Sorcha Gilroy , Andreas Maletti , Jonathan May , Kevin Knight