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Neural network binarization accelerates deep models by quantizing their weights and activations into 1-bit. However, there is still a huge performance gap between Binary Neural Networks (BNNs) and their full-precision (FP) counterparts. As…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Yuzhang Shang , Dan Xu , Ziliang Zong , Liqiang Nie , Yan Yan

The distribution of the weights of modern deep neural networks (DNNs) - crucial for uncertainty quantification and robustness - is an eminently complex object due to its extremely high dimensionality. This paper proposes one of the first…

Machine Learning · Statistics 2023-10-13 Olivier Laurent , Emanuel Aldea , Gianni Franchi

Skip connections and normalisation layers form two standard architectural components that are ubiquitous for the training of Deep Neural Networks (DNNs), but whose precise roles are poorly understood. Recent approaches such as Deep Kernel…

Machine Learning · Computer Science 2023-02-22 Bobby He , James Martens , Guodong Zhang , Aleksandar Botev , Andrew Brock , Samuel L Smith , Yee Whye Teh

We study the performance of stochastically trained deep neural networks (DNNs) whose synaptic weights are implemented using emerging memristive devices that exhibit limited dynamic range, resolution, and variability in their programming…

Machine Learning · Statistics 2017-11-13 Anakha V Babu , Bipin Rajendran

We propose a novel deep neural network (DNN) based approximation architecture to learn estimates of measurements. We detail an algorithm that enables training of the DNN. The DNN estimator only uses measurements, if and when they are…

Machine Learning · Computer Science 2022-09-13 Shivangi Agarwal , Sanjit K. Kaul , Saket Anand , P. B. Sujit

The capabilities of natural neural systems have inspired new generations of machine learning algorithms as well as neuromorphic very large-scale integrated (VLSI) circuits capable of fast, low-power information processing. However, it has…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Alpha Renner , Forrest Sheldon , Anatoly Zlotnik , Louis Tao , Andrew Sornborger

In recent years, deep neural networks (DNNs) have known an important rise in popularity. However, although they are state-of-the-art in many machine learning challenges, they still suffer from several limitations. For example, DNNs require…

Machine Learning · Computer Science 2021-10-11 Carlos Lassance , Myriam Bontonou , Mounia Hamidouche , Bastien Pasdeloup , Lucas Drumetz , Vincent Gripon

Neural network (NN) models are increasingly used in scientific simulations, AI, and other high performance computing (HPC) fields to extract knowledge from datasets. Each dataset requires tailored NN model architecture, but designing…

Machine Learning · Computer Science 2021-08-12 Ariel Keller Rorabaugh , Silvina Caíno-Lores , Michael R. Wyatt , Travis Johnston , Michela Taufer

We present a formal measure-theoretical theory of neural networks (NN) built on probability coupling theory. Our main contributions are summarized as follows. * Built on the formalism of probability coupling theory, we derive an algorithm…

Machine Learning · Computer Science 2018-12-03 Shuai Li

We theoretically discuss why deep neural networks (DNNs) performs better than other models in some cases by investigating statistical properties of DNNs for non-smooth functions. While DNNs have empirically shown higher performance than…

Machine Learning · Statistics 2018-07-10 Masaaki Imaizumi , Kenji Fukumizu

Deep neural networks (DNNs) are being widely applied for various real-world applications across domains due to their high performance (e.g., high accuracy on image classification). Nevertheless, a well-trained DNN after deployment could…

Machine Learning · Computer Science 2020-11-20 Bing Yu , Hua Qi , Qing Guo , Felix Juefei-Xu , Xiaofei Xie , Lei Ma , Jianjun Zhao

In recent studies, several asymptotic upper bounds on generalization errors on deep neural networks (DNNs) are theoretically derived. These bounds are functions of several norms of weights of the DNNs, such as the Frobenius and spectral…

Machine Learning · Computer Science 2019-05-23 Mete Ozay

In many cases, the computing resources are limited without the benefit from GPU, especially in the edge devices of IoT enabled systems. It may not be easy to implement complex AI models in edge devices. The Universal Approximation Theorem…

Neural and Evolutionary Computing · Computer Science 2021-05-10 Hongmei He , Mengyuan Chen , Gang Xu , Zhilong Zhu , Zhenhuan Zhu

A novel neural network (NN) approach is proposed for constrained optimization. The proposed method uses a specially designed NN architecture and training/optimization procedure called Neural Optimization Machine (NOM). The objective…

Machine Learning · Statistics 2022-08-10 Jie Chen , Yongming Liu

Random backpropagation (RBP) is a variant of the backpropagation algorithm for training neural networks, where the transpose of the forward matrices are replaced by fixed random matrices in the calculation of the weight updates. It is…

Machine Learning · Computer Science 2017-12-25 Pierre Baldi , Peter Sadowski , Zhiqin Lu

Neural networks are often regarded as "black boxes" due to their complex functions and numerous parameters, which poses significant challenges for interpretability. This study addresses these challenges by introducing methods to enhance the…

Machine Learning · Statistics 2024-09-26 Mohamad Yamen AL Mohamad , Hossein Bevrani , Ali Akbar Haydari

Deep learning, as a highly efficient method for metasurface inverse design, commonly use simulation data to train deep neural networks (DNNs) that can map desired functionalities to proper metasurface designs. However, the assumptions and…

Signal Processing · Electrical Eng. & Systems 2023-08-07 Jingxin Zhang , Jiawei Xi , Peixing Li , Ray C. C. Cheung , Alex M. H. Wong , Jensen Li

Deep Neural Networks (DNNs) have improved the accuracy of classification problems in lots of applications. One of the challenges in training a DNN is its need to be fed by an enriched dataset to increase its accuracy and avoid it suffering…

Machine Learning · Computer Science 2020-08-25 Iman Saberi , Fathiyeh Faghih

It has been proposed by many researchers that combining deep neural networks with graphical models can create more efficient and better regularized composite models. The main difficulties in implementing this in practice are associated with…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Patrick Knöbelreiter , Christian Sormann , Alexander Shekhovtsov , Friedrich Fraundorfer , Thomas Pock

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo
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