On the Expressive Power of Deep Polynomial Neural Networks

29 May 2019

Matthew Trager

Joan Bruna

Papers citing "On the Expressive Power of Deep Polynomial Neural Networks"

20 / 20 papers shown

Title
Learnable polynomial, trigonometric, and tropical activations Ismail Khalfaoui-Hassani Stefan Kesselheim 64 0 0 03 Feb 2025
An Invitation to Neuroalgebraic Geometry G. Marchetti V. Shahverdi Stefano Mereta Matthew Trager Kathlén Kohn 119 2 0 31 Jan 2025
Geometry and Optimization of Shallow Polynomial Networks Yossi Arjevani Joan Bruna Joe Kileel Elzbieta Polak Matthew Trager 36 1 0 10 Jan 2025
A Tensor Decomposition Perspective on Second-order RNNs M. Lizaire Michael Rizvi-Martel Marawan Gamal Abdel Hameed Guillaume Rabusseau 52 0 0 07 Jun 2024
Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation Madison Cooley Shandian Zhe Robert M. Kirby Varun Shankar 62 1 0 04 Jun 2024
DeepBern-Nets: Taming the Complexity of Certifying Neural Networks using Bernstein Polynomial Activations and Precise Bound Propagation Haitham Khedr Yasser Shoukry 47 5 0 22 May 2023
Function Space and Critical Points of Linear Convolutional Networks Kathlén Kohn Guido Montúfar V. Shahverdi Matthew Trager 24 11 0 12 Apr 2023
Abstract Visual Reasoning: An Algebraic Approach for Solving Raven's Progressive Matrices Jingyi Xu Tushar Vaidya Y. Blankenship Saket Chandra Zhangsheng Lai Kai Fong Ernest Chong 41 8 0 21 Mar 2023
One Neuron Saved Is One Neuron Earned: On Parametric Efficiency of Quadratic Networks Fenglei Fan Hangcheng Dong Zhongming Wu Lecheng Ruan T. Zeng Yiming Cui Jing-Xiao Liao 59 8 0 11 Mar 2023
Polynomial Neural Fields for Subband Decomposition and Manipulation Guandao Yang Sagie Benaim Varun Jampani Kyle Genova Jonathan T. Barron Thomas Funkhouser Bharath Hariharan Serge Belongie 44 20 0 09 Feb 2023
The Mechanism of Prediction Head in Non-contrastive Self-supervised Learning Zixin Wen Yuanzhi Li SSL 27 34 0 12 May 2022
DSGN++: Exploiting Visual-Spatial Relation for Stereo-based 3D Detectors Yilun Chen Shijia Huang Shu Liu Bei Yu Jiaya Jia 3DPC 33 26 0 06 Apr 2022
The Spectral Bias of Polynomial Neural Networks Moulik Choraria L. Dadi Grigorios G. Chrysos Julien Mairal V. Cevher 24 18 0 27 Feb 2022
Expressivity of Neural Networks via Chaotic Itineraries beyond Sharkovsky's Theorem Clayton Sanford Vaggos Chatziafratis 16 1 0 19 Oct 2021
Augmenting Deep Classifiers with Polynomial Neural Networks Grigorios G. Chrysos Markos Georgopoulos Jiankang Deng Jean Kossaifi Yannis Panagakis Anima Anandkumar 19 18 0 16 Apr 2021
On the Equivalence Between Temporal and Static Graph Representations for Observational Predictions Jianfei Gao Bruno Ribeiro 29 11 0 12 Mar 2021
Deep Polynomial Neural Networks Grigorios G. Chrysos Stylianos Moschoglou Giorgos Bouritsas Jiankang Deng Yannis Panagakis S. Zafeiriou 29 92 0 20 Jun 2020
$Π-$ nets: Deep Polynomial Neural Networks Grigorios G. Chrysos Stylianos Moschoglou Giorgos Bouritsas Yannis Panagakis Jiankang Deng S. Zafeiriou 29 59 0 08 Mar 2020
Computational complexity of learning algebraic varieties Oliver Gäfvert 20 3 0 08 Oct 2019
Generating Accurate Pseudo-labels in Semi-Supervised Learning and Avoiding Overconfident Predictions via Hermite Polynomial Activations Vishnu Suresh Lokhande Songwong Tasneeyapant Abhay Venkatesh Sathya Ravi Vikas Singh 18 29 0 12 Sep 2019