Guido Montúfar

Orcid: 0000-0002-0131-2669

According to our database1, Guido Montúfar authored at least 81 papers between 2011 and 2024.

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Bibliography

2024
Algebraic optimization of sequential decision problems.
J. Symb. Comput., March, 2024

Fisher-Rao Gradient Flows of Linear Programs and State-Action Natural Policy Gradients.
CoRR, 2024

The Real Tropical Geometry of Neural Networks.
CoRR, 2024

Benign overfitting in leaky ReLU networks with moderate input dimension.
CoRR, 2024

2023
Continuity and additivity properties of information decompositions.
Int. J. Approx. Reason., October, 2023

Implicit Bias of Gradient Descent for Mean Squared Error Regression with Two-Layer Wide Neural Networks.
J. Mach. Learn. Res., 2023

Mildly Overparameterized ReLU Networks Have a Favorable Loss Landscape.
CoRR, 2023

Supermodular Rank: Set Function Decomposition and Optimization.
CoRR, 2023

Function Space and Critical Points of Linear Convolutional Networks.
CoRR, 2023

Expected Gradients of Maxout Networks and Consequences to Parameter Initialization.
Proceedings of the International Conference on Machine Learning, 2023

Critical Points and Convergence Analysis of Generative Deep Linear Networks Trained with Bures-Wasserstein Loss.
Proceedings of the International Conference on Machine Learning, 2023

Characterizing the spectrum of the NTK via a power series expansion.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

FoSR: First-order spectral rewiring for addressing oversquashing in GNNs.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

2022
Sharp Bounds for the Number of Regions of Maxout Networks and Vertices of Minkowski Sums.
SIAM J. Appl. Algebra Geom., March, 2022

Geometry of Linear Convolutional Networks.
SIAM J. Appl. Algebra Geom., 2022

Distributed Learning via Filtered Hyperinterpolation on Manifolds.
Found. Comput. Math., 2022

Geometry and convergence of natural policy gradient methods.
CoRR, 2022

Enumeration of max-pooling responses with generalized permutohedra.
CoRR, 2022

Solving infinite-horizon POMDPs with memoryless stochastic policies in state-action space.
CoRR, 2022

On the Effectiveness of Persistent Homology.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Spectral Bias Outside the Training Set for Deep Networks in the Kernel Regime.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

The Geometry of Memoryless Stochastic Policy Optimization in Infinite-Horizon POMDPs.
Proceedings of the Tenth International Conference on Learning Representations, 2022

Learning Curves for Gaussian Process Regression with Power-Law Priors and Targets.
Proceedings of the Tenth International Conference on Learning Representations, 2022

Implicit Bias of MSE Gradient Optimization in Underparameterized Neural Networks.
Proceedings of the Tenth International Conference on Learning Representations, 2022

Oversquashing in GNNs through the lens of information contraction and graph expansion.
Proceedings of the 58th Annual Allerton Conference on Communication, 2022

2021
Wasserstein distance to independence models.
J. Symb. Comput., 2021

Training Wasserstein GANs without gradient penalties.
CoRR, 2021

On the Expected Complexity of Maxout Networks.
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

Weisfeiler and Lehman Go Cellular: CW Networks.
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021

Decentralized Multi-Agents by Imitation of a Centralized Controller.
Proceedings of the Mathematical and Scientific Machine Learning, 2021

Information Complexity and Generalization Bounds.
Proceedings of the IEEE International Symposium on Information Theory, 2021

How Framelets Enhance Graph Neural Networks.
Proceedings of the 38th International Conference on Machine Learning, 2021

Tight Bounds on the Smallest Eigenvalue of the Neural Tangent Kernel for Deep ReLU Networks.
Proceedings of the 38th International Conference on Machine Learning, 2021

Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks.
Proceedings of the 38th International Conference on Machine Learning, 2021

Wasserstein Proximal of GANs.
Proceedings of the Geometric Science of Information - 5th International Conference, 2021

2020
Factorized mutual information maximization.
Kybernetika, 2020

Can neural networks learn persistent homology features?
CoRR, 2020

Implicit bias of gradient descent for mean squared error regression with wide neural networks.
CoRR, 2020

The Variational Deficiency Bottleneck.
Proceedings of the 2020 International Joint Conference on Neural Networks, 2020

Haar Graph Pooling.
Proceedings of the 37th International Conference on Machine Learning, 2020

Optimization Theory for ReLU Neural Networks Trained with Normalization Layers.
Proceedings of the 37th International Conference on Machine Learning, 2020

Kernelized Wasserstein Natural Gradient.
Proceedings of the 8th International Conference on Learning Representations, 2020

2019
Stochastic Feedforward Neural Networks: Universal Approximation.
CoRR, 2019

How Well Do WGANs Estimate the Wasserstein Metric?
CoRR, 2019

HaarPooling: Graph Pooling with Compressive Haar Basis.
CoRR, 2019

Wasserstein Diffusion Tikhonov Regularization.
CoRR, 2019

Optimal Transport to a Variety.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

Wasserstein of Wasserstein Loss for Learning Generative Models.
Proceedings of the 36th International Conference on Machine Learning, 2019

Affine Natural Proximal Learning.
Proceedings of the Geometric Science of Information - 4th International Conference, 2019

2018
Ricci curvature for parametric statistics via optimal transport.
CoRR, 2018

Restricted Boltzmann Machines: Introduction and Review.
CoRR, 2018

Natural gradient via optimal transport I.
CoRR, 2018

Computing the Unique Information.
Proceedings of the 2018 IEEE International Symposium on Information Theory, 2018

2017
Dimension of Marginals of Kronecker Product Models.
SIAM J. Appl. Algebra Geom., 2017

Hierarchical models as marginals of hierarchical models.
Int. J. Approx. Reason., 2017

Morphological computation: The good, the bad, and the ugly.
Proceedings of the 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2017

Geometry of Policy Improvement.
Proceedings of the Geometric Science of Information - Third International Conference, 2017

2016
Evaluating Morphological Computation in Muscle and DC-Motor Driven Models of Hopping Movements.
Frontiers Robotics AI, 2016

Information Theoretically Aided Reinforcement Learning for Embodied Agents.
CoRR, 2016

2015
When Does a Mixture of Products Contain a Product of Mixtures?
SIAM J. Discret. Math., 2015

A Theory of Cheap Control in Embodied Systems.
PLoS Comput. Biol., 2015

Discrete restricted Boltzmann machines.
J. Mach. Learn. Res., 2015

Geometry and expressive power of conditional restricted Boltzmann machines.
J. Mach. Learn. Res., 2015

Geometry and Determinism of Optimal Stationary Control in Partially Observable Markov Decision Processes.
CoRR, 2015

Universal Approximation of Markov Kernels by Shallow Stochastic Feedforward Networks.
CoRR, 2015

Deep Narrow Boltzmann Machines are Universal Approximators.
Proceedings of the 3rd International Conference on Learning Representations, 2015

Evaluating Morphological Computation in Muscle and DC-motor Driven Models of Human Hopping.
CoRR, 2015

2014
Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units.
Neural Comput., 2014

Scaling of model approximation errors and expected entropy distances.
Kybernetika, 2014

On the Fisher Metric of Conditional Probability Polytopes.
Entropy, 2014

On the number of inference regions of deep feed forward networks with piece-wise linear activations.
Proceedings of the 2nd International Conference on Learning Representations, 2014

Expressive Power of Conditional Restricted Boltzmann Machines for Sensorimotor Control.
CoRR, 2014

A Framework for Cheap Universal Approximation in Embodied Systems.
CoRR, 2014

Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type.
CoRR, 2014

On the Number of Linear Regions of Deep Neural Networks.
Proceedings of the Advances in Neural Information Processing Systems 27: Annual Conference on Neural Information Processing Systems 2014, 2014

2013
Mixture decompositions of exponential families - using a decomposition of their sample spaces.
Kybernetika, 2013

Universally typical sets for ergodic sources of multidimensional data.
Kybernetika, 2013

Maximal Information Divergence from Statistical Models Defined by Neural Networks.
Proceedings of the Geometric Science of Information - First International Conference, 2013

2012
On the expressive power of discrete mixture models, restricted Boltzmann machines, and deep belief networks: a unified mathematical treatment.
PhD thesis, 2012

2011
Refinements of Universal Approximation Results for Deep Belief Networks and Restricted Boltzmann Machines.
Neural Comput., 2011

Expressive Power and Approximation Errors of Restricted Boltzmann Machines.
Proceedings of the Advances in Neural Information Processing Systems 24: 25th Annual Conference on Neural Information Processing Systems 2011. Proceedings of a meeting held 12-14 December 2011, 2011


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