Polynomial Neural Networks
PulseAugur coverage of Polynomial Neural Networks — every cluster mentioning Polynomial Neural Networks across labs, papers, and developer communities, ranked by signal.
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Alexander-Hirschowitz theorem applied to neurovarieties in new arXiv paper
Researchers Alex Massarenti and collaborators have published a paper on arXiv detailing the Alexander-Hirschowitz theorem as applied to neurovarieties. Their work focuses on the dimension and identifiability of neurovar…
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New algorithm precisely computes learning coefficients for singular AI models
Researchers have developed a new deterministic algorithm for precisely calculating learning coefficients in two-dimensional singular models. This method addresses limitations of traditional information criteria like BIC…
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Shallow Neural Networks Over Finite Fields Explored in New Research
Researchers have explored the expressivity of shallow polynomial neural networks (PNNs) utilizing monomial activation functions over finite fields. They defined a 'neuromanifold' for a given architecture as the image of…
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New research challenges unimodal architecture conjecture for polynomial neural networks
A new paper published on arXiv introduces counterexamples to the unimodal minimal filling architecture conjecture for polynomial neural networks (PNNs) utilizing power activation functions. The research, submitted on Ma…