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Using tools from topology and functional analysis, we provide a framework where artificial neural networks, and their architectures, can be formally described. We define the notion of machine in a general topological context and show how…

Machine Learning · Computer Science 2022-11-30 Pietro Vertechi , Mattia G. Bergomi

Variational quantum circuits are one of the promising ways to exploit the advantages of quantum computing in the noisy intermediate-scale quantum technology era. The design of the quantum circuit architecture might greatly affect the…

Quantum Physics · Physics 2024-05-14 Gang Wang , Bang-Hai Wang , Shao-Ming Fei

With the overwhelming success in the field of quantum information in the last decades, the "quest" for a Quantum Neural Network (QNN) model began in order to combine quantum computing with the striking properties of neural computing. This…

Quantum Physics · Physics 2014-09-01 M. Schuld , I. Sinayskiy , F. Petruccione

The universality of a quantum neural network refers to its ability to approximate arbitrary functions and is a theoretical guarantee for its effectiveness. A non-universal neural network could fail in completing the machine learning task.…

Quantum Physics · Physics 2023-06-27 Xiaokai Hou , Guanyu Zhou , Qingyu Li , Shan Jin , Xiaoting Wang

Training a high-quality deep neural network requires choosing suitable hyperparameters, which is a non-trivial and expensive process. Current works try to automatically optimize or design principles of hyperparameters, such that they can…

Machine Learning · Computer Science 2024-02-28 Wuyang Chen , Junru Wu , Zhangyang Wang , Boris Hanin

Modern iterations of deep learning models contain millions (billions) of unique parameters, each represented by a b-bit number. Popular attempts at compressing neural networks (such as pruning and quantisation) have shown that many of the…

Machine Learning · Computer Science 2022-10-26 Christopher Subia-Waud , Srinandan Dasmahapatra

Weight sharing, as an approach to speed up architecture performance estimation has received wide attention. Instead of training each architecture separately, weight sharing builds a supernet that assembles all the architectures as its…

Machine Learning · Computer Science 2021-05-06 Yuge Zhang , Quanlu Zhang , Yaming Yang

This work targets the automated minimum-energy optimization of Quantized Neural Networks (QNNs) - networks using low precision weights and activations. These networks are trained from scratch at an arbitrary fixed point precision. At…

Neural and Evolutionary Computing · Computer Science 2017-11-27 Bert Moons , Koen Goetschalckx , Nick Van Berckelaer , Marian Verhelst

Graph neural networks (GNN) has been successfully applied to operate on the graph-structured data. Given a specific scenario, rich human expertise and tremendous laborious trials are usually required to identify a suitable GNN architecture.…

Machine Learning · Computer Science 2019-09-11 Kaixiong Zhou , Qingquan Song , Xiao Huang , Xia Hu

We develop a new quantum neural network layer designed to run efficiently on a quantum computer but that can be simulated on a classical computer when restricted in the way it entangles input states. We first ask how a classical neural…

Quantum Physics · Physics 2020-11-26 Roberto Bondesan , Max Welling

With the constant increase of the number of quantum bits (qubits) in the actual quantum computers, implementing and accelerating the prevalent deep learning on quantum computers are becoming possible. Along with this trend, there emerge…

Quantum Physics · Physics 2021-11-09 Zhepeng Wang , Zhiding Liang , Shanglin Zhou , Caiwen Ding , Yiyu Shi , Weiwen Jiang

Neural architecture search (NAS) aims to automate architecture design processes and improve the performance of deep neural networks. Platform-aware NAS methods consider both performance and complexity and can find well-performing…

Neural and Evolutionary Computing · Computer Science 2022-07-22 Yuhei Noda , Shota Saito , Shinichi Shirakawa

We propose a new algorithm to learn a one-hidden-layer convolutional neural network where both the convolutional weights and the outputs weights are parameters to be learned. Our algorithm works for a general class of (potentially…

Machine Learning · Computer Science 2018-06-05 Simon S. Du , Surbhi Goel

The functional characterization of different neuronal types has been a longstanding and crucial challenge. With the advent of physical quantum computers, it has become possible to apply quantum machine learning algorithms to translate…

Quantum Physics · Physics 2025-02-11 Xavier Vasques , Hanhee Paik , Laura Cif

The construction of robust and scalable quantum gates is a uniquely hard problem in the field of quantum computing. Real-world quantum computers suffer from many forms of noise, characterized by the decoherence and relaxation times of a…

Quantum Physics · Physics 2025-07-14 Diego Fuentealba , Jack Dahn , James Steck , Elizabeth Behrman

Designing architectures for deep neural networks requires expert knowledge and substantial computation time. We propose a technique to accelerate architecture selection by learning an auxiliary HyperNet that generates the weights of a main…

Machine Learning · Computer Science 2017-08-18 Andrew Brock , Theodore Lim , J. M. Ritchie , Nick Weston

We present a global algorithm for training multilayer neural networks in this Letter. The algorithm is focused on controlling the local fields of neurons induced by the input of samples by random adaptations of the synaptic weights. Unlike…

Biological Physics · Physics 2007-05-23 Hong Zhao , Tao Jin

Nearly all model algorithms used in machine learning use two different sets of parameters: the training parameters and the meta-parameters (hyperparameters). While the training parameters are learned during the training phase, the values of…

Machine Learning · Computer Science 2020-03-31 Razvan Andonie , Adrian-Catalin Florea

Machine learning with hierarchical quantum circuits, usually referred to as Quantum Convolutional Neural Networks (QCNNs), is a promising prospect for near-term quantum computing. The QCNN is a circuit model inspired by the architecture of…

Quantum Physics · Physics 2024-03-05 Matt Lourens , Ilya Sinayskiy , Daniel K. Park , Carsten Blank , Francesco Petruccione

Weight-sharing is one of the pillars behind Convolutional Neural Networks and their successes. However, in physical neural systems such as the brain, weight-sharing is implausible. This discrepancy raises the fundamental question of whether…

Machine Learning · Computer Science 2019-10-08 Jordan Ott , Erik Linstead , Nicholas LaHaye , Pierre Baldi
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