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The Real Tropical Geometry of Neural Networks

The Real Tropical Geometry of Neural Networks

18 March 2024
Marie-Charlotte Brandenburg
Georg Loho
Guido Montúfar
ArXiv (abs)PDFHTML

Papers citing "The Real Tropical Geometry of Neural Networks"

10 / 10 papers shown
From Universal Approximation Theorem to Tropical Geometry of Multi-Layer Perceptrons
From Universal Approximation Theorem to Tropical Geometry of Multi-Layer Perceptrons
Yi-Shan Chu
Yueh-Cheng Kuo
78
0
0
16 Oct 2025
On the expressivity of sparse maxout networks
On the expressivity of sparse maxout networks
Moritz Grillo
Tobias Hofmann
89
0
0
15 Oct 2025
Maxout Polytopes
Maxout Polytopes
Andrei Balakin
Shelby Cox
Georg Loho
Bernd Sturmfels
89
0
0
25 Sep 2025
Algebraic Approach to Ridge-Regularized Mean Squared Error Minimization in Minimal ReLU Neural Network
Algebraic Approach to Ridge-Regularized Mean Squared Error Minimization in Minimal ReLU Neural Network
Ryoya Fukasaku
Y. Kabata
Akifumi Okuno
136
0
0
25 Aug 2025
Constraining the outputs of ReLU neural networks
Constraining the outputs of ReLU neural networks
Yulia Alexandr
Guido Montúfar
203
0
0
05 Aug 2025
How to Learn a Star: Binary Classification with Starshaped Polyhedral Sets
How to Learn a Star: Binary Classification with Starshaped Polyhedral Sets
Marie-Charlotte Brandenburg
Katharina Jochemko
863
0
0
02 May 2025
Algebra Unveils Deep Learning -- An Invitation to Neuroalgebraic Geometry
Algebra Unveils Deep Learning -- An Invitation to Neuroalgebraic Geometry
Giovanni Luca Marchetti
Vahid Shahverdi
Stefano Mereta
Matthew Trager
Kathlén Kohn
344
2
0
31 Jan 2025
Neural Networks and (Virtual) Extended Formulations
Neural Networks and (Virtual) Extended Formulations
Christoph Hertrich
Georg Loho
399
8
0
05 Nov 2024
When Deep Learning Meets Polyhedral Theory: A Survey
When Deep Learning Meets Polyhedral Theory: A Survey
Joey Huchette
Gonzalo Muñoz
Thiago Serra
Calvin Tsay
AI4CE
672
44
0
29 Apr 2023
Fast Convex Optimization for Two-Layer ReLU Networks: Equivalent Model Classes and Cone Decompositions
Fast Convex Optimization for Two-Layer ReLU Networks: Equivalent Model Classes and Cone DecompositionsInternational Conference on Machine Learning (ICML), 2022
Aaron Mishkin
Arda Sahiner
Mert Pilanci
OffRL
499
33
0
02 Feb 2022
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