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Montufar, Guido
31 publications
ICLR
2025
Demystifying Topological Message-Passing with Relational Structures: A Case Study on Oversquashing in Simplicial Message-Passing
Diaaeldin Taha
,
James Chapman
,
Marzieh Eidi
,
Karel Devriendt
,
Guido Montufar
ICLR
2025
Implicit Bias of Mirror Flow for Shallow Neural Networks in Univariate Regression
Shuang Liang
,
Guido Montufar
NeurIPS
2025
Low Rank Gradients and Where to Find Them
Rishi Sonthalia
,
Michael Murray
,
Guido Montufar
ICML
2025
On the Local Complexity of Linear Regions in Deep ReLU Networks
Niket Nikul Patel
,
Guido Montufar
NeurIPS
2025
Zero-Shot Context Generalization in Reinforcement Learning from Few Training Contexts
James Chapman
,
Kedar Karhadkar
,
Guido Montufar
NeurIPS
2024
Benign Overfitting in Leaky ReLU Networks with Moderate Input Dimension
Kedar Karhadkar
,
Erin George
,
Michael Murray
,
Guido Montúfar
,
Deanna Needell
NeurIPS
2024
Bounds for the Smallest Eigenvalue of the NTK for Arbitrary Spherical Data of Arbitrary Dimension
Kedar Karhadkar
,
Michael Murray
,
Guido Montúfar
TMLR
2024
Mildly Overparameterized ReLU Networks Have a Favorable Loss Landscape
Kedar Karhadkar
,
Michael Murray
,
Hanna Tseran
,
Guido Montufar
TMLR
2024
Pull-Back Geometry of Persistent Homology Encodings
Shuang Liang
,
Renata Turkes
,
Jiayi Li
,
Nina Otter
,
Guido Montufar
TMLR
2024
The Real Tropical Geometry of Neural Networks for Binary Classification
Marie-Charlotte Brandenburg
,
Georg Loho
,
Guido Montufar
ICLR
2023
Characterizing the Spectrum of the NTK via a Power Series Expansion
Michael Murray
,
Hui Jin
,
Benjamin Bowman
,
Guido Montufar
ICML
2023
Critical Points and Convergence Analysis of Generative Deep Linear Networks Trained with Bures-Wasserstein Loss
Pierre Bréchet
,
Katerina Papagiannouli
,
Jing An
,
Guido Montufar
ICML
2023
Expected Gradients of Maxout Networks and Consequences to Parameter Initialization
Hanna Tseran
,
Guido Montufar
ICLR
2023
FoSR: First-Order Spectral Rewiring for Addressing Oversquashing in GNNs
Kedar Karhadkar
,
Pradeep Kr. Banerjee
,
Guido Montufar
JMLR
2023
Implicit Bias of Gradient Descent for Mean Squared Error Regression with Two-Layer Wide Neural Networks
Hui Jin
,
Guido Montufar
ICLR
2022
Implicit Bias of MSE Gradient Optimization in Underparameterized Neural Networks
Benjamin Bowman
,
Guido Montufar
ICLR
2022
Learning Curves for Gaussian Process Regression with Power-Law Priors and Targets
Hui Jin
,
Pradeep Kr. Banerjee
,
Guido Montufar
ICLR
2022
The Geometry of Memoryless Stochastic Policy Optimization in Infinite-Horizon POMDPs
Johannes Müller
,
Guido Montufar
ICML
2021
How Framelets Enhance Graph Neural Networks
Xuebin Zheng
,
Bingxin Zhou
,
Junbin Gao
,
Yuguang Wang
,
Pietro Lió
,
Ming Li
,
Guido Montufar
ICLRW
2021
PAC-Bayes and Information Complexity
Pradeep Kr. Banerjee
,
Guido Montufar
ICLRW
2021
Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks
Cristian Bodnar
,
Fabrizio Frasca
,
Yu Guang Wang
,
Nina Otter
,
Guido Montufar
,
Pietro Liò
,
Michael M. Bronstein
NeurIPSW
2020
Can Neural Networks Learn Persistent Homology Features?
Guido Montufar
,
Nina Otter
,
Yu Guang Wang
ICML
2020
Haar Graph Pooling
Yu Guang Wang
,
Ming Li
,
Zheng Ma
,
Guido Montufar
,
Xiaosheng Zhuang
,
Yanan Fan
ICLR
2020
Kernelized Wasserstein Natural Gradient
Michael Arbel
,
Arthur Gretton
,
Wuchen Li
,
Guido Montufar
ICML
2020
Optimization Theory for ReLU Neural Networks Trained with Normalization Layers
Yonatan Dukler
,
Quanquan Gu
,
Guido Montufar
ICML
2019
Wasserstein of Wasserstein Loss for Learning Generative Models
Yonatan Dukler
,
Wuchen Li
,
Alex Lin
,
Guido Montufar
ICLR
2015
Deep Narrow Boltzmann Machines Are Universal Approximators
Guido Montúfar
JMLR
2015
Discrete Restricted Boltzmann Machines
Guido Montúfar
,
Jason Morton
JMLR
2015
Geometry and Expressive Power of Conditional Restricted Boltzmann Machines
Guido Montúfar
,
Nihat Ay
,
Keyan Ghazi-Zahedi
ICLR
2014
On the Number of Inference Regions of Deep Feed Forward Networks with Piece-Wise Linear Activations
Razvan Pascanu
,
Guido Montúfar
,
Yoshua Bengio
ICLR
2013
Discrete Restricted Boltzmann Machines
Guido Montúfar
,
Jason Morton