Polynomial Neural Networks

Polynomial Neural Networks are in the classes of Neural Networks that can be expressed as a pure polynomial of the inputs to the network

Papers

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Showing 1–29 of 29 papers

Title	Date	Tasks	Status	Hype
P-nets: Deep Polynomial Neural Networks	Jun 1, 2020	Image GenerationPolynomial Neural Networks	CodeCode Available	1
Π-nets: Deep Polynomial Neural Networks	Mar 8, 2020	Audio ClassificationGraph Representation Learning	CodeCode Available	1
Discontinuous Piecewise Polynomial Neural Networks	May 15, 2015	Polynomial Neural Networks	CodeCode Available	1
Deep Polynomial Neural Networks	Jun 20, 2020	Conditional Image GenerationFace Identification	CodeCode Available	1
Bayesian polynomial neural networks and polynomial neural ordinary differential equations	Aug 17, 2023	Bayesian InferencePolynomial Neural Networks	—Unverified	0
The Spectral Bias of Polynomial Neural Networks	Feb 27, 2022	Face RecognitionImage Generation	—Unverified	0
Activation degree thresholds and expressiveness of polynomial neural networks	Aug 8, 2024	Polynomial Neural Networks	—Unverified	0
An Approach to Stable Gradient Descent Adaptation of Higher-Order Neural Units	Jun 23, 2016	Polynomial Neural Networks	—Unverified	0
A practical, fast method for solving sum-of-squares problems for very large polynomials	Oct 21, 2024	Polynomial Neural Networks	—Unverified	0
Physics-Based Deep Neural Networks for Beam Dynamics in Charged Particle Accelerators	Jul 7, 2020	Polynomial Neural Networks	—Unverified	0
Physics-based polynomial neural networks for one-shot learning of dynamical systems from one or a few samples	May 24, 2020	One-Shot LearningPolynomial Neural Networks	—Unverified	0
Plant Species Recognition with Optimized 3D Polynomial Neural Networks and Variably Overlapping Time-Coherent Sliding Window	Mar 4, 2022	Polynomial Neural Networks	—Unverified	0
PNeRV: A Polynomial Neural Representation for Videos	Jun 27, 2024	Polynomial Neural Networks	—Unverified	0
Polynomial Neural Networks and Taylor maps for Dynamical Systems Simulation and Learning	Dec 19, 2019	Polynomial Neural Networks	—Unverified	0
1-Dimensional polynomial neural networks for audio signal related problems	Sep 9, 2020	Polynomial Neural Networks	—Unverified	0
Extrapolation and Spectral Bias of Neural Nets with Hadamard Product: a Polynomial Net Study	Sep 16, 2022	Generalization BoundsPolynomial Neural Networks	—Unverified	0
Geometry of Polynomial Neural Networks	Feb 1, 2024	Polynomial Neural Networks	—Unverified	0
Globally Optimal Training of Generalized Polynomial Neural Networks with Nonlinear Spectral Methods	Oct 28, 2016	Polynomial Neural Networks	—Unverified	0
Identifiability of Deep Polynomial Neural Networks	Jun 20, 2025	DecoderPolynomial Neural Networks	—Unverified	0
Ladder Polynomial Neural Networks	Jun 25, 2021	Polynomial Neural Networks	—Unverified	0
Learning on a Razor's Edge: the Singularity Bias of Polynomial Neural Networks	May 17, 2025	Polynomial Neural Networks	—Unverified	0
Nonconvex Matrix Factorization from Rank-One Measurements	Feb 17, 2018	Polynomial Neural NetworksQuantum State Tomography	—Unverified	0
On the Study of Sample Complexity for Polynomial Neural Networks	Jul 18, 2022	Face RecognitionImage Generation	—Unverified	0
CoPE: Conditional image generation using Polynomial Expansions	Apr 11, 2021	AttributeConditional Image Generation	CodeCode Available	0
Augmenting Deep Classifiers with Polynomial Neural Networks	Apr 16, 2021	Audio ClassificationGeneral Classification	CodeCode Available	0
Matrix Lie Maps and Neural Networks for Solving Differential Equations	Aug 16, 2019	Polynomial Neural Networks	CodeCode Available	0
Conditional Generation Using Polynomial Expansions	Dec 1, 2021	AttributeImage Generation	CodeCode Available	0
A Training Framework for Optimal and Stable Training of Polynomial Neural Networks	May 16, 2025	Audio ClassificationHomomorphic Encryption for Deep Learning	CodeCode Available	0
On the Expressive Power of Deep Polynomial Neural Networks	May 29, 2019	Polynomial Neural Networks	CodeCode Available	0

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