The Quantum Path Kernel: a Generalized Quantum Neural Tangent Kernel for Deep Quantum Machine Learning

22 December 2022

Massimiliano Incudini

Papers citing "The Quantum Path Kernel: a Generalized Quantum Neural Tangent Kernel for Deep Quantum Machine Learning"

38 / 38 papers shown

Title
Catapult Dynamics and Phase Transitions in Quadratic Nets David Meltzer Junyu Liu 53 9 0 18 Jan 2023
Symmetric Pruning in Quantum Neural Networks Xinbiao Wang Junyu Liu Tongliang Liu Yong Luo Yuxuan Du Dacheng Tao 47 25 0 30 Aug 2022
Laziness, Barren Plateau, and Noise in Machine Learning Junyu Liu Zexi Lin Liang Jiang 50 21 0 19 Jun 2022
Analytic theory for the dynamics of wide quantum neural networks Junyu Liu K. Najafi Kunal Sharma F. Tacchino Liang Jiang Antonio Mezzacapo 43 53 0 30 Mar 2022
Quantum Lazy Training E. Abedi Salman Beigi Leila Taghavi 44 6 0 16 Feb 2022
Quantum advantage in learning from experiments Hsin-Yuan Huang Michael Broughton Jordan S. Cotler Sitan Chen Jingkai Li ... Hartmut Neven Ryan Babbush R. Kueng J. Preskill Jarrod R. McClean 41 476 0 01 Dec 2021
On the Equivalence between Neural Network and Support Vector Machine Yilan Chen Wei Huang Lam M. Nguyen Tsui-Wei Weng AAML 51 18 0 11 Nov 2021
Representation Learning via Quantum Neural Tangent Kernels Junyu Liu F. Tacchino Jennifer R. Glick Liang Jiang Antonio Mezzacapo 53 63 0 08 Nov 2021
Quantum tangent kernel Norihito Shirai K. Kubo K. Mitarai Keisuke Fujii 66 28 0 04 Nov 2021
Quantum machine learning beyond kernel methods Sofiene Jerbi Lukas J. Fiderer Hendrik Poulsen Nautrup Jonas M. Kubler Hans J. Briegel Vedran Dunjko 51 169 0 25 Oct 2021
Theory of overparametrization in quantum neural networks Martín Larocca Nathan Ju Diego García-Martín Patrick J. Coles M. Cerezo 74 191 0 23 Sep 2021
The Principles of Deep Learning Theory Daniel A. Roberts Sho Yaida Boris Hanin FaML PINN GNN 59 245 0 18 Jun 2021
Classifying high-dimensional Gaussian mixtures: Where kernel methods fail and neural networks succeed Maria Refinetti Sebastian Goldt Florent Krzakala Lenka Zdeborová 52 74 0 23 Feb 2021
Supervised quantum machine learning models are kernel methods Maria Schuld 136 370 0 26 Jan 2021
Connecting ansatz expressibility to gradient magnitudes and barren plateaus Zoë Holmes Kunal Sharma M. Cerezo Patrick J. Coles 189 429 0 06 Jan 2021
Every Model Learned by Gradient Descent Is Approximately a Kernel Machine Pedro M. Domingos MLT 67 73 0 30 Nov 2020
Power of data in quantum machine learning Hsin-Yuan Huang Michael Broughton Masoud Mohseni Ryan Babbush Sergio Boixo Hartmut Neven Jarrod R. McClean 76 645 0 03 Nov 2020
The power of quantum neural networks Amira Abbas David Sutter Christa Zoufal Aurelien Lucchi Alessio Figalli Stefan Woerner 103 753 0 30 Oct 2020
A rigorous and robust quantum speed-up in supervised machine learning Yunchao Liu Srinivasan Arunachalam K. Temme 72 542 0 05 Oct 2020
On the linearity of large non-linear models: when and why the tangent kernel is constant Chaoyue Liu Libin Zhu M. Belkin 104 141 0 02 Oct 2020
Layerwise learning for quantum neural networks Andrea Skolik Jarrod R. McClean Masoud Mohseni Patrick van der Smagt Martin Leib 56 285 0 26 Jun 2020
Towards Understanding Hierarchical Learning: Benefits of Neural Representations Minshuo Chen Yu Bai Jason D. Lee T. Zhao Huan Wang Caiming Xiong R. Socher SSL 61 49 0 24 Jun 2020
When Do Neural Networks Outperform Kernel Methods? Behrooz Ghorbani Song Mei Theodor Misiakiewicz Andrea Montanari 83 188 0 24 Jun 2020
Trainability of Dissipative Perceptron-Based Quantum Neural Networks Kunal Sharma M. Cerezo L. Cincio Patrick J. Coles GNN 54 148 0 26 May 2020
Taylorized Training: Towards Better Approximation of Neural Network Training at Finite Width Yu Bai Ben Krause Huan Wang Caiming Xiong R. Socher 56 22 0 10 Feb 2020
A Model of Double Descent for High-dimensional Binary Linear Classification Zeyu Deng A. Kammoun Christos Thrampoulidis 77 146 0 13 Nov 2019
Asymptotic Bayes risk for Gaussian mixture in a semi-supervised setting Marc Lelarge Léo Miolane 44 28 0 08 Jul 2019
On Exact Computation with an Infinitely Wide Neural Net Sanjeev Arora S. Du Wei Hu Zhiyuan Li Ruslan Salakhutdinov Ruosong Wang 215 922 0 26 Apr 2019
An Investigation into Neural Net Optimization via Hessian Eigenvalue Density Behrooz Ghorbani Shankar Krishnan Ying Xiao ODL 62 323 0 29 Jan 2019
Reconciling modern machine learning practice and the bias-variance trade-off M. Belkin Daniel J. Hsu Siyuan Ma Soumik Mandal 227 1,644 0 28 Dec 2018
On Lazy Training in Differentiable Programming Lénaïc Chizat Edouard Oyallon Francis R. Bach 106 833 0 19 Dec 2018
Neural Tangent Kernel: Convergence and Generalization in Neural Networks Arthur Jacot Franck Gabriel Clément Hongler 265 3,194 0 20 Jun 2018
A Simple Quantum Neural Net with a Periodic Activation Function Ammar Daskin 25 24 0 20 Apr 2018
Barren plateaus in quantum neural network training landscapes Jarrod R. McClean Sergio Boixo V. Smelyanskiy Ryan Babbush Hartmut Neven 71 1,816 0 29 Mar 2018
Quantum Neuron: an elementary building block for machine learning on quantum computers Yudong Cao G. Guerreschi Alán Aspuru-Guzik 40 158 0 30 Nov 2017
Interpretation of Neural Networks is Fragile Amirata Ghorbani Abubakar Abid James Zou FAtt AAML 126 865 0 29 Oct 2017
Simulating a perceptron on a quantum computer Maria Schuld I. Sinayskiy Francesco Petruccione 49 146 0 11 Dec 2014
The spectrum of kernel random matrices N. Karoui 149 224 0 04 Jan 2010