On the Depth of Monotone ReLU Neural Networks and ICNNs
Fuente:
arXiv
Saved in:
| Main Authors: | Bakaev, Egor, Brunck, Florestan, Hertrich, Christoph, Reichman, Daniel, Yehudayoff, Amir |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Better Neural Network Expressivity: Subdividing the Simplex
by: Bakaev, Egor, et al.
Published: (2025)
by: Bakaev, Egor, et al.
Published: (2025)
The Computational Complexity of Counting Linear Regions in ReLU Neural Networks
by: Stargalla, Moritz, et al.
Published: (2025)
by: Stargalla, Moritz, et al.
Published: (2025)
Towards Lower Bounds on the Depth of ReLU Neural Networks
by: Hertrich, Christoph, et al.
Published: (2021)
by: Hertrich, Christoph, et al.
Published: (2021)
Depth-Bounds for Neural Networks via the Braid Arrangement
by: Grillo, Moritz, et al.
Published: (2025)
by: Grillo, Moritz, et al.
Published: (2025)
Approximation Depth of Convex Polytopes
by: Bakaev, Egor, et al.
Published: (2025)
by: Bakaev, Egor, et al.
Published: (2025)
Decomposition Polyhedra of Piecewise Linear Functions
by: Brandenburg, Marie-Charlotte, et al.
Published: (2024)
by: Brandenburg, Marie-Charlotte, et al.
Published: (2024)
Provably Good Solutions to the Knapsack Problem via Neural Networks of Bounded Size
by: Hertrich, Christoph, et al.
Published: (2020)
by: Hertrich, Christoph, et al.
Published: (2020)
Parameterized Hardness of Zonotope Containment and Neural Network Verification
by: Froese, Vincent, et al.
Published: (2025)
by: Froese, Vincent, et al.
Published: (2025)
ReLU Neural Networks of Polynomial Size for Exact Maximum Flow Computation
by: Hertrich, Christoph, et al.
Published: (2021)
by: Hertrich, Christoph, et al.
Published: (2021)
The Symmetries of Three-Layer ReLU Networks
by: Gegenfurtner, Johanna Marie, et al.
Published: (2026)
by: Gegenfurtner, Johanna Marie, et al.
Published: (2026)
On Space Folds of ReLU Neural Networks
by: Lewandowski, Michal, et al.
Published: (2025)
by: Lewandowski, Michal, et al.
Published: (2025)
On the Expressiveness of Rational ReLU Neural Networks With Bounded Depth
by: Averkov, Gennadiy, et al.
Published: (2025)
by: Averkov, Gennadiy, et al.
Published: (2025)
Items or Relations -- what do Artificial Neural Networks learn?
by: Krause, Renate, et al.
Published: (2024)
by: Krause, Renate, et al.
Published: (2024)
Weisfeiler-Leman at the margin: When more expressivity matters
by: Franks, Billy J., et al.
Published: (2024)
by: Franks, Billy J., et al.
Published: (2024)
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts
by: Kratsios, Anastasis, et al.
Published: (2024)
by: Kratsios, Anastasis, et al.
Published: (2024)
From Tempered to Benign Overfitting in ReLU Neural Networks
by: Kornowski, Guy, et al.
Published: (2023)
by: Kornowski, Guy, et al.
Published: (2023)
Neural Spacetimes for DAG Representation Learning
by: Borde, Haitz Sáez de Ocáriz, et al.
Published: (2024)
by: Borde, Haitz Sáez de Ocáriz, et al.
Published: (2024)
Nearest Neighbor Representations of Neural Circuits
by: Kilic, Kordag Mehmet, et al.
Published: (2024)
by: Kilic, Kordag Mehmet, et al.
Published: (2024)
The Geometry of ReLU Networks through the ReLU Transition Graph
by: Dhayalkar, Sahil Rajesh
Published: (2025)
by: Dhayalkar, Sahil Rajesh
Published: (2025)
Neural Snowflakes: Universal Latent Graph Inference via Trainable Latent Geometries
by: Borde, Haitz Sáez de Ocáriz, et al.
Published: (2023)
by: Borde, Haitz Sáez de Ocáriz, et al.
Published: (2023)
Causal Explanations from the Geometric Properties of ReLU Neural Networks
by: Woods, Hector, et al.
Published: (2026)
by: Woods, Hector, et al.
Published: (2026)
ReLU-KAN: New Kolmogorov-Arnold Networks that Only Need Matrix Addition, Dot Multiplication, and ReLU
by: Qiu, Qi, et al.
Published: (2024)
by: Qiu, Qi, et al.
Published: (2024)
Neural Networks and (Virtual) Extended Formulations
by: Hertrich, Christoph, et al.
Published: (2024)
by: Hertrich, Christoph, et al.
Published: (2024)
Approximately Optimal Search on a Higher-dimensional Sliding Puzzle
by: Merleau, Nono SC, et al.
Published: (2024)
by: Merleau, Nono SC, et al.
Published: (2024)
Future Directions in the Theory of Graph Machine Learning
by: Morris, Christopher, et al.
Published: (2024)
by: Morris, Christopher, et al.
Published: (2024)
Nearest Neighbor Representations of Neurons
by: Kilic, Kordag Mehmet, et al.
Published: (2024)
by: Kilic, Kordag Mehmet, et al.
Published: (2024)
Graph Normalization: Fast Binarizing Dynamics for Differentiable MWIS
by: Guigues, Laurent
Published: (2026)
by: Guigues, Laurent
Published: (2026)
Topological Expressivity of ReLU Neural Networks
by: Ergen, Ekin, et al.
Published: (2023)
by: Ergen, Ekin, et al.
Published: (2023)
Arithmetic Circuits and Neural Networks for Regular Matroids
by: Hertrich, Christoph, et al.
Published: (2025)
by: Hertrich, Christoph, et al.
Published: (2025)
Complexity of Injectivity and Verification of ReLU Neural Networks
by: Froese, Vincent, et al.
Published: (2024)
by: Froese, Vincent, et al.
Published: (2024)
A Denoising Diffusion-Based Evolutionary Algorithm Framework: Application to the Maximum Independent Set Problem
by: Soler, Joan Salvà, et al.
Published: (2025)
by: Soler, Joan Salvà, et al.
Published: (2025)
A reinforcement learning guided hybrid evolutionary algorithm for the latency location routing problem
by: Zou, Yuji, et al.
Published: (2024)
by: Zou, Yuji, et al.
Published: (2024)
Expressivity and Approximation Properties of Deep Neural Networks with ReLU$^k$ Activation
by: He, Juncai, et al.
Published: (2023)
by: He, Juncai, et al.
Published: (2023)
Provable Unlearning with Gradient Ascent on Two-Layer ReLU Neural Networks
by: Melamed, Odelia, et al.
Published: (2025)
by: Melamed, Odelia, et al.
Published: (2025)
Covered Forest: Fine-grained generalization analysis of graph neural networks
by: Vasileiou, Antonis, et al.
Published: (2024)
by: Vasileiou, Antonis, et al.
Published: (2024)
Sign Gradient Descent-based Neuronal Dynamics: ANN-to-SNN Conversion Beyond ReLU Network
by: Oh, Hyunseok, et al.
Published: (2024)
by: Oh, Hyunseok, et al.
Published: (2024)
ReLU Networks for Exact Generation of Similar Graphs
by: Ghafoor, Mamoona, et al.
Published: (2026)
by: Ghafoor, Mamoona, et al.
Published: (2026)
Zorro: A Flexible and Differentiable Parametric Family of Activation Functions That Extends ReLU and GELU
by: Roodschild, Matias, et al.
Published: (2024)
by: Roodschild, Matias, et al.
Published: (2024)
Geometry-induced Regularization in Deep ReLU Neural Networks
by: Bona-Pellissier, Joachim, et al.
Published: (2024)
by: Bona-Pellissier, Joachim, et al.
Published: (2024)
Designing ReLU Generative Networks to Enumerate Trees with a Given Tree Edit Distance
by: Ghafoor, Mamoona, et al.
Published: (2025)
by: Ghafoor, Mamoona, et al.
Published: (2025)
Similar Items
-
Better Neural Network Expressivity: Subdividing the Simplex
by: Bakaev, Egor, et al.
Published: (2025) -
The Computational Complexity of Counting Linear Regions in ReLU Neural Networks
by: Stargalla, Moritz, et al.
Published: (2025) -
Towards Lower Bounds on the Depth of ReLU Neural Networks
by: Hertrich, Christoph, et al.
Published: (2021) -
Depth-Bounds for Neural Networks via the Braid Arrangement
by: Grillo, Moritz, et al.
Published: (2025) -
Approximation Depth of Convex Polytopes
by: Bakaev, Egor, et al.
Published: (2025)