English
Related papers

Related papers: On Training Derivative-Constrained Neural Networks

200 papers

Element-wise activation functions play a critical role in deep neural networks via affecting the expressivity power and the learning dynamics. Learning-based activation functions have recently gained increasing attention and success. We…

Machine Learning · Computer Science 2020-10-05 Dengsheng Chen , Jun Li , Kai Xu

Neural networks have recently become popular for a wide variety of uses, but have seen limited application in safety-critical domains such as robotics near and around humans. This is because it remains an open challenge to train a neural…

Machine Learning · Computer Science 2021-07-19 Long Kiu Chung , Adam Dai , Derek Knowles , Shreyas Kousik , Grace X. Gao

We draw connections between simple neural networks and under-determined linear systems to comprehensively explore several interesting theoretical questions in the study of neural networks. First, we emphatically show that it is unsurprising…

Numerical Analysis · Mathematics 2020-11-02 Austin R. Benson , Anil Damle , Alex Townsend

This paper presents a new optimisation approach to train Deep Neural Networks (DNNs) with discriminative sequence criteria. At each iteration, the method combines information from the Natural Gradient (NG) direction with local curvature…

Machine Learning · Computer Science 2018-10-05 Adnan Haider , P. C. Woodland

In this article we investigate blow up phenomena for gradient descent optimization methods in the training of artificial neural networks (ANNs). Our theoretical analysis is focused on shallow ANNs with one neuron on the input layer, one…

Optimization and Control · Mathematics 2022-11-29 Davide Gallon , Arnulf Jentzen , Felix Lindner

In recent years, the amount of Cyber Security data generated in the form of unstructured texts, for example, social media resources, blogs, articles, and so on has exceptionally increased. Named Entity Recognition (NER) is an initial step…

Computation and Language · Computer Science 2020-04-02 Simran K , Sriram S , Vinayakumar R , Soman KP

Autonomous systems (AS) often use Deep Neural Network (DNN) classifiers to allow them to operate in complex, high-dimensional, non-linear, and dynamically changing environments. Due to the complexity of these environments, DNN classifiers…

Machine Learning · Computer Science 2024-08-16 Abanoub Ghobrial , Xuan Zheng , Darryl Hond , Hamid Asgari , Kerstin Eder

We present a novel algorithm for training deep neural networks in supervised (classification and regression) and unsupervised (reinforcement learning) scenarios. This algorithm combines the standard stochastic gradient descent and the…

Machine Learning · Computer Science 2023-05-23 Arunselvan Ramaswamy , Shalabh Bhatnagar , Naman Saxena

A novel convolution neural network model, abbreviated NL-CNN is proposed, where nonlinear convolution is emulated in a cascade of convolution + nonlinearity layers. The code for its implementation and some trained models are made publicly…

Machine Learning · Computer Science 2021-02-03 Radu Dogaru , Ioana Dogaru

Private computation of nonlinear functions, such as Rectified Linear Units (ReLUs) and max-pooling operations, in deep neural networks (DNNs) poses significant challenges in terms of storage, bandwidth, and time consumption. To address…

Machine Learning · Computer Science 2023-12-27 Toluwani Aremu

The primary goal of training in early convolutional neural networks (CNN) is the higher generalization performance of the model. However, as the expected calibration error (ECE), which quantifies the explanatory power of model inference,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Seungbum Hong , Jihun Yoon , Bogyu Park , Min-Kook Choi

Recurrent neural networks (RNNs) are widely used throughout neuroscience as models of local neural activity. Many properties of single RNNs are well characterized theoretically, but experimental neuroscience has moved in the direction of…

Machine Learning · Computer Science 2023-01-31 Leo Kozachkov , Michaela Ennis , Jean-Jacques Slotine

The training of artificial neural networks (ANNs) is nowadays a highly relevant algorithmic procedure with many applications in science and industry. Roughly speaking, ANNs can be regarded as iterated compositions between affine linear…

Optimization and Control · Mathematics 2022-07-14 Simon Eberle , Arnulf Jentzen , Adrian Riekert , Georg Weiss

In this work, we analyze the capabilities and practical limitations of neural networks (NNs) for sequence-based signal processing which can be seen as an omnipresent property in almost any modern communication systems. In particular, we…

Information Theory · Computer Science 2019-11-22 Daniel Tandler , Sebastian Dörner , Sebastian Cammerer , Stephan ten Brink

We propose Deep Companion Learning (DCL), a novel training method for Deep Neural Networks (DNNs) that enhances generalization by penalizing inconsistent model predictions compared to its historical performance. To achieve this, we train a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Ruizhao Zhu , Venkatesh Saligrama

The study of Deep Network (DN) training dynamics has largely focused on the evolution of the loss function, evaluated on or around train and test set data points. In fact, many DN phenomenon were first introduced in literature with that…

Machine Learning · Computer Science 2023-10-23 Ahmed Imtiaz Humayun , Randall Balestriero , Richard Baraniuk

When fine-tuning Deep Neural Networks (DNNs) to new data, DNNs are prone to overwriting network parameters required for task-specific functionality on previously learned tasks, resulting in a loss of performance on those tasks. We propose…

Machine Learning · Computer Science 2025-01-22 Christopher Angelini , Nidhal Bouaynaya

For most state-of-the-art architectures, Rectified Linear Unit (ReLU) becomes a standard component accompanied with each layer. Although ReLU can ease the network training to an extent, the character of blocking negative values may suppress…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Xuanyi Dong , Guoliang Kang , Kun Zhan , Yi Yang

Residual deep neural networks (ResNets) are mathematically described as interacting particle systems. In the case of infinitely many layers the ResNet leads to a system of coupled system of ordinary differential equations known as neural…

Analysis of PDEs · Mathematics 2022-05-11 M. Herty , A. Thuenen , T. Trimborn , G. Visconti

Deep neural models have achieved state of the art performance on a wide range of problems in computer science, especially in computer vision. However, deep neural networks often require large datasets of labeled samples to generalize…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Patrick Kage , Jay C. Rothenberger , Pavlos Andreadis , Dimitrios I. Diochnos