Better Neural Network Expressivity: Subdividing the Simplex
Fuente:
arXiv
Saved in:
| Main Authors: | Bakaev, Egor, Brunck, Florestan, Hertrich, Christoph, Stade, Jack, Yehudayoff, Amir |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the Depth of Monotone ReLU Neural Networks and ICNNs
by: Bakaev, Egor, et al.
Published: (2025)
by: Bakaev, Egor, et al.
Published: (2025)
Depth-Bounds for Neural Networks via the Braid Arrangement
by: Grillo, Moritz, et al.
Published: (2025)
by: Grillo, 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)
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)
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)
Approximation Depth of Convex Polytopes
by: Bakaev, Egor, et al.
Published: (2025)
by: Bakaev, Egor, 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)
Nearest Neighbor Representations of Neural Circuits
by: Kilic, Kordag Mehmet, et al.
Published: (2024)
by: Kilic, Kordag Mehmet, et al.
Published: (2024)
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)
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)
Nearest Neighbor Representations of Neurons
by: Kilic, Kordag Mehmet, et al.
Published: (2024)
by: Kilic, Kordag Mehmet, 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)
Graph Normalization: Fast Binarizing Dynamics for Differentiable MWIS
by: Guigues, Laurent
Published: (2026)
by: Guigues, Laurent
Published: (2026)
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)
Arithmetic Circuits and Neural Networks for Regular Matroids
by: Hertrich, Christoph, et al.
Published: (2025)
by: Hertrich, Christoph, 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)
Non-Spatial Hash Chemistry as a Minimalistic Open-Ended Evolutionary System
by: Sayama, Hiroki
Published: (2024)
by: Sayama, Hiroki
Published: (2024)
A Memetic Algorithm To Find a Hamiltonian Cycle in a Hamiltonian Graph
by: Ali, Sarwan, et al.
Published: (2024)
by: Ali, Sarwan, et al.
Published: (2024)
High-level hybridization of heuristics and metaheuristics to solve symmetric TSP: a comparative study
by: Junior, Carlos Alberto da Silva, et al.
Published: (2024)
by: Junior, Carlos Alberto da Silva, et al.
Published: (2024)
Metaheuristics for (Variable-Size) Mixed Optimization Problems: A Unified Taxonomy and Survey
by: Talbi, El-Ghazali
Published: (2024)
by: Talbi, El-Ghazali
Published: (2024)
Training Neural Networks is NP-Hard in Fixed Dimension
by: Froese, Vincent, et al.
Published: (2023)
by: Froese, Vincent, et al.
Published: (2023)
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)
Training Fully Connected Neural Networks is $\exists\mathbb{R}$-Complete
by: Bertschinger, Daniel, et al.
Published: (2022)
by: Bertschinger, Daniel, et al.
Published: (2022)
Connected Subtraction Games on Subdivided Stars
by: Dailly, Antoine, et al.
Published: (2018)
by: Dailly, Antoine, et al.
Published: (2018)
Quantization in Spiking Neural Networks
by: Moser, Bernhard A., et al.
Published: (2023)
by: Moser, Bernhard A., et al.
Published: (2023)
On the Architectural Complexity of Neural Networks
by: Cooper, Nicholas J., et al.
Published: (2026)
by: Cooper, Nicholas J., et al.
Published: (2026)
Local search for valued constraint satisfaction parameterized by treedepth
by: Kaznatcheev, Artem
Published: (2024)
by: Kaznatcheev, Artem
Published: (2024)
Expressivity of Neural Networks with Random Weights and Learned Biases
by: Williams, Ezekiel, et al.
Published: (2024)
by: Williams, Ezekiel, et al.
Published: (2024)
On the Expressive Power of Spectral Invariant Graph Neural Networks
by: Zhang, Bohang, et al.
Published: (2024)
by: Zhang, Bohang, et al.
Published: (2024)
Mode Connectivity in Auction Design
by: Hertrich, Christoph, et al.
Published: (2023)
by: Hertrich, Christoph, et al.
Published: (2023)
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)
Balancing Efficiency and Expressiveness: Subgraph GNNs with Walk-Based Centrality
by: Southern, Joshua, et al.
Published: (2025)
by: Southern, Joshua, et al.
Published: (2025)
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)
Towards an Algebraic Framework For Approximating Functions Using Neural Network Polynomials
by: Rafi, Shakil, et al.
Published: (2024)
by: Rafi, Shakil, et al.
Published: (2024)
Similar Items
-
On the Depth of Monotone ReLU Neural Networks and ICNNs
by: Bakaev, Egor, et al.
Published: (2025) -
Depth-Bounds for Neural Networks via the Braid Arrangement
by: Grillo, Moritz, et al.
Published: (2025) -
Towards Lower Bounds on the Depth of ReLU Neural Networks
by: Hertrich, Christoph, et al.
Published: (2021) -
The Computational Complexity of Counting Linear Regions in ReLU Neural Networks
by: Stargalla, Moritz, et al.
Published: (2025) -
Decomposition Polyhedra of Piecewise Linear Functions
by: Brandenburg, Marie-Charlotte, et al.
Published: (2024)