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Polynomial functions have plenty of useful analytical properties, but they are rarely used as learning models because their function class is considered to be restricted. This work shows that when trained properly polynomial functions can…

Machine Learning · Computer Science 2021-06-30 Li-Ping Liu , Ruiyuan Gu , Xiaozhe Hu

Neural networks with binary weights are computation-efficient and hardware-friendly, but their training is challenging because it involves a discrete optimization problem. Surprisingly, ignoring the discrete nature of the problem and using…

Machine Learning · Computer Science 2020-08-19 Xiangming Meng , Roman Bachmann , Mohammad Emtiyaz Khan

This study explores the challenge of improving multiclass image classification through quantum machine-learning techniques. It explores how the discarded qubit states of Noisy Intermediate-Scale Quantum (NISQ) quantum convolutional neural…

Quantum Physics · Physics 2025-08-26 Shuchismita Anwar , Sowmitra Das , Muhammad Iqbal Hossain , Jishnu Mahmud

In this paper, we introduce a quantum extension of classical DNN, QDNN. The QDNN consisting of quantum structured layers can uniformly approximate any continuous function and has more representation power than the classical DNN. It still…

Quantum Physics · Physics 2020-10-20 Chen Zhao , Xiao-Shan Gao

The excellent performance of deep neural networks has enabled us to solve several automatization problems, opening an era of autonomous devices. However, current deep net architectures are heavy with millions of parameters and require…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Dat Thanh Tran , Alexandros Iosifidis , Moncef Gabbouj

The utilization of residual learning has become widespread in deep and scalable neural nets. However, the fundamental principles that contribute to the success of residual learning remain elusive, thus hindering effective training of plain…

Computer Vision and Pattern Recognition · Computer Science 2024-02-14 Tunhou Zhang , Feng Yan , Hai Li , Yiran Chen

A large collection of time series poses significant challenges for classical and neural forecasting approaches. Classical time series models fail to fit data well and to scale to large problems, but succeed at providing uncertainty…

Machine Learning · Statistics 2018-12-04 Danielle C. Maddix , Yuyang Wang , Alex Smola

Quantum neural networks (QNNs), harnessing superposition and entanglement, have shown potential to surpass classical methods in complex learning tasks but remain limited by hardware constraints and noisy conditions. In this work, we present…

Quantum Physics · Physics 2025-03-04 Mohammad Junayed Hasan , M. R. C. Mahdy

The classical perceptron is a simple neural network that performs a binary classification by a linear mapping between static inputs and outputs and application of a threshold. For small inputs, neural networks in a stationary state also…

Disordered Systems and Neural Networks · Physics 2020-08-18 David Dahmen , Matthieu Gilson , Moritz Helias

A efficient incremental learning algorithm for classification tasks, called NetLines, well adapted for both binary and real-valued input patterns is presented. It generates small compact feedforward neural networks with one hidden layer of…

Artificial Intelligence · Computer Science 2009-04-30 Juan-Manuel Torres-Moreno , Mirta B. Gordon

Recently, deep learning has achieved huge successes in many important applications. In our previous studies, we proposed quadratic/second-order neurons and deep quadratic neural networks. In a quadratic neuron, the inner product of a vector…

Machine Learning · Computer Science 2019-08-29 Fenglei Fan , Jinjun Xiong , Ge Wang

We describe a novel family of models of multi- layer feedforward neural networks in which the activation functions are encoded via penalties in the training problem. Our approach is based on representing a non-decreasing activation function…

Machine Learning · Computer Science 2018-06-22 Armin Askari , Geoffrey Negiar , Rajiv Sambharya , Laurent El Ghaoui

In this era of artificial intelligence, deep neural networks like Convolutional Neural Networks (CNNs) have emerged as front-runners, often surpassing human capabilities. These deep networks are often perceived as the panacea for all…

Computer Vision and Pattern Recognition · Computer Science 2023-11-15 Neeraj Kumar Singh , Nikhil R. Pal

As deep neural networks grow in size, from thousands to millions to billions of weights, the performance of those networks becomes limited by our ability to accurately train them. A common naive question arises: if we have a system with…

Machine Learning · Computer Science 2018-05-29 Nathan O. Hodas , Panos Stinis

Inverse problems in imaging such as denoising, deblurring, superresolution (SR) have been addressed for many decades. In recent years, convolutional neural networks (CNNs) have been widely used for many inverse problem areas. Although their…

Machine Learning · Computer Science 2018-10-26 Cem Tarhan , Gozde Bozdagi Akar

We introduce Natural Learning (NL), a novel algorithm that elevates the explainability and interpretability of machine learning to an extreme level. NL simplifies decisions into intuitive rules, like "We rejected your loan because your…

Machine Learning · Computer Science 2024-04-10 Hadi Fanaee-T

Researchers have proposed that deep learning, which is providing important progress in a wide range of high complexity tasks, might inspire new insights into learning in the brain. However, the methods used for deep learning by artificial…

Neural and Evolutionary Computing · Computer Science 2019-07-03 Isabella Pozzi , Sander Bohté , Pieter Roelfsema

The resurgence of self-supervised learning, whereby a deep learning model generates its own supervisory signal from the data, promises a scalable way to tackle the dramatically increasing size of real-world data sets without human…

Quantum Physics · Physics 2022-04-05 Ben Jaderberg , Lewis W. Anderson , Weidi Xie , Samuel Albanie , Martin Kiffner , Dieter Jaksch

The emergence of ResNet provides a powerful tool for training extremely deep networks. The core idea behind it is to change the learning goals of the network. It no longer learns new features from scratch but learns the difference between…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Peng Hui , Jiamuyang Zhao , Changxin Li , Qingzhen Zhu

Quantum machine learning is receiving significant attention currently, but its usefulness in comparison to classical machine learning techniques for practical applications remains unclear. However, there are indications that certain quantum…