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Neural nets are known to be universal approximators. In particular, formal neurons implementing wavelets have been shown to build nets able to approximate any multidimensional task. Such very specialized formal neurons may be, however,…

Disordered Systems and Neural Networks · Physics 2009-11-07 B. G. Giraud , A. Touzeau

In this work, we propose a balanced multi-component and multi-layer neural network (MMNN) structure to accurately and efficiently approximate functions with complex features, in terms of both degrees of freedom and computational cost. The…

Machine Learning · Computer Science 2025-07-17 Shijun Zhang , Hongkai Zhao , Yimin Zhong , Haomin Zhou

We prove two universal approximation theorems for a range of dropout neural networks. These are feed-forward neural networks in which each edge is given a random $\{0,1\}$-valued filter, that have two modes of operation: in the first each…

Machine Learning · Computer Science 2020-12-21 Oxana A. Manita , Mark A. Peletier , Jacobus W. Portegies , Jaron Sanders , Albert Senen-Cerda

We propose methods to train convolutional neural networks (CNNs) with both binarized weights and activations, leading to quantized models that are specifically friendly to mobile devices with limited power capacity and computation…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Bohan Zhuang , Chunhua Shen , Mingkui Tan , Peng Chen , Lingqiao Liu , Ian Reid

Universality of neural networks describes the ability to approximate arbitrary function, and is a key ingredient to keep the method effective. The established models for universal quantum neural networks(QNN), however, require the…

Quantum Physics · Physics 2021-10-22 Xiaokai Hou , Guanyu Zhou , Qingyu Li , Shan Jin , Xiaoting Wang

Functions are rich in meaning and can be interpreted in a variety of ways. Neural networks were proven to be capable of approximating a large class of functions[1]. In this paper, we propose a new class of neural networks called "Neural…

Machine Learning · Computer Science 2020-01-16 Firat Tuna

Videos take a lot of time to transport over the network, hence running analytics on the live video on embedded or mobile devices has become an important system driver. Considering that such devices, e.g., surveillance cameras or AR/VR…

Computer Vision and Pattern Recognition · Computer Science 2021-07-16 Ran Xu , Rakesh Kumar , Pengcheng Wang , Peter Bai , Ganga Meghanath , Somali Chaterji , Subrata Mitra , Saurabh Bagchi

Deep learning has achieved state-of-the-art accuracies on several computer vision tasks. However, the computational and energy requirements associated with training such deep neural networks can be quite high. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Aosong Feng , Priyadarshini Panda

Deep convolutional neural networks (CNNs) have been shown to perform extremely well at a variety of tasks including subtasks of autonomous driving such as image segmentation and object classification. However, networks designed for these…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Yiqi Hou , Sascha Hornauer , Karl Zipser

This work investigates the framework and performance issues of the composite neural network, which is composed of a collection of pre-trained and non-instantiated neural network models connected as a rooted directed acyclic graph for…

Machine Learning · Computer Science 2021-07-20 Ming-Chuan Yang , Meng Chang Chen

In recent years there has been a considerable amount of research on local post hoc explanations for neural networks. However, work on building interpretable neural architectures has been relatively sparse. In this paper, we present a novel…

Machine Learning · Computer Science 2025-06-09 Isha Puri , Amit Dhurandhar , Tejaswini Pedapati , Kartikeyan Shanmugam , Dennis Wei , Kush R. Varshney

Over the past a few years, research and development has made significant progresses on big data analytics. A fundamental issue for big data analytics is the efficiency. If the optimal solution is unable to attain or not required or has a…

Databases · Computer Science 2019-01-03 Shuai Ma , Jinpeng Huai

We propose Trusted Neural Network (TNN) models, which are deep neural network models that satisfy safety constraints critical to the application domain. We investigate different mechanisms for incorporating rule-based knowledge in the form…

Machine Learning · Computer Science 2018-05-21 Shalini Ghosh , Amaury Mercier , Dheeraj Pichapati , Susmit Jha , Vinod Yegneswaran , Patrick Lincoln

Multivariate function approximation is a fundamental problem in machine learning. Classic multivariate function approximations rely on hand-crafted basis functions (e.g., polynomial basis and Fourier basis), which limits their approximation…

Machine Learning · Computer Science 2026-03-17 Wei-Hao Wu , Ting-Zhu Huang , Xi-Le Zhao , Yisi Luo , Deyu Meng

This work proposes the first strategy to make distributed training of neural networks resilient to computing errors, a problem that has remained unsolved despite being first posed in 1956 by von Neumann. He also speculated that the…

Information Theory · Computer Science 2019-03-05 Sanghamitra Dutta , Ziqian Bai , Tze Meng Low , Pulkit Grover

Recurrent neural networks have been widely used in sequence learning tasks. In previous studies, the performance of the model has always been improved by either wider or deeper structures. However, the former becomes more prone to…

Machine Learning · Computer Science 2019-11-20 Yu-Xuan Li , Jin-Yuan Liu , Liang Li , Xiang Guan

We study the problem of designing a controller that satisfies an arbitrary number of affine inequalities at every point in the state space. This is motivated by the fact that a variety of key control objectives, such as stability, safety,…

Optimization and Control · Mathematics 2026-04-20 Pol Mestres , Jorge Cortés , Eduardo D. Sontag

Recent progress in deep learning has been driven by increasingly larger models. However, their computational and energy demands have grown proportionally, creating significant barriers to their deployment and to a wider adoption of deep…

Machine Learning · Computer Science 2025-09-16 Pedro Savarese

Balancing predictive power and interpretability has long been a challenging research area, particularly in powerful yet complex models like neural networks, where nonlinearity obstructs direct interpretation. This paper introduces a novel…

Machine Learning · Computer Science 2025-02-20 Antoine Ledent , Peng Liu

Neural network quantization is frequently used to optimize model size, latency and power consumption for on-device deployment of neural networks. In many cases, a target bit-width is set for an entire network, meaning every layer get…

Machine Learning · Computer Science 2023-02-13 Nilesh Prasad Pandey , Markus Nagel , Mart van Baalen , Yin Huang , Chirag Patel , Tijmen Blankevoort
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