A complete classification of symmetries in shallow ReLU networks is achieved by using the non-differentiability of ReLU.
2016.05.015
5 Pith papers cite this work. Polarity classification is still indexing.
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Minimal sufficient Jordan algebras characterize sufficiency for positive trace-preserving maps on quantum states, with Neyman-Pearson tests generating them and equality in data-processing inequalities implying Petz recovery.
Veering triangulations for Anosov flows with orientable foliations admit Legendrian edge realizations in strongly adapted bicontact structures and can be placed in steady position, implying horizontal surgery correspondences via prior author result.
Constructs canonical p-energy measures for strongly local p-energy forms, proves chain/Leibniz rules and uniqueness, and shows coincidence with Korevaar-Schoen-type measures via a p-analogue of Le Jan's domination principle.
Generalizes Iarrobino's symmetric decomposition to self-dual modules over local algebras, classifies local Hilbert functions for small degrees, and extends Kunte's self-duality criterion.
citing papers explorer
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A Complete Symmetry Classification of Shallow ReLU Networks
A complete classification of symmetries in shallow ReLU networks is achieved by using the non-differentiability of ReLU.
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Sufficiency and Petz recovery for positive maps
Minimal sufficient Jordan algebras characterize sufficiency for positive trace-preserving maps on quantum states, with Neyman-Pearson tests generating them and equality in data-processing inequalities implying Petz recovery.
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Legendrian position of veering triangulations
Veering triangulations for Anosov flows with orientable foliations admit Legendrian edge realizations in strongly adapted bicontact structures and can be placed in steady position, implying horizontal surgery correspondences via prior author result.
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Construction of $p$-energy measures associated with strongly local $p$-energy forms
Constructs canonical p-energy measures for strongly local p-energy forms, proves chain/Leibniz rules and uniqueness, and shows coincidence with Korevaar-Schoen-type measures via a p-analogue of Le Jan's domination principle.
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Iarrobino's symmetric decomposition for self-dual modules
Generalizes Iarrobino's symmetric decomposition to self-dual modules over local algebras, classifies local Hilbert functions for small degrees, and extends Kunte's self-duality criterion.