Search Results for author: Pradeep Kr. Banerjee

Found 6 papers, 2 papers with code

FoSR: First-order spectral rewiring for addressing oversquashing in GNNs

1 code implementation21 Oct 2022 Kedar Karhadkar, Pradeep Kr. Banerjee, Guido Montúfar

On the other hand, adding edges to the message-passing graph can lead to increasingly similar node representations and a problem known as oversmoothing.

Graph Classification

Oversquashing in GNNs through the lens of information contraction and graph expansion

1 code implementation6 Aug 2022 Pradeep Kr. Banerjee, Kedar Karhadkar, Yu Guang Wang, Uri Alon, Guido Montúfar

We compare the spectral expansion properties of our algorithm with that of an existing curvature-based non-local rewiring strategy.

graph construction

Learning curves for Gaussian process regression with power-law priors and targets

no code implementations ICLR 2022 Hui Jin, Pradeep Kr. Banerjee, Guido Montúfar

We characterize the power-law asymptotics of learning curves for Gaussian process regression (GPR) under the assumption that the eigenspectrum of the prior and the eigenexpansion coefficients of the target function follow a power law.

GPR regression

Information Complexity and Generalization Bounds

no code implementations4 May 2021 Pradeep Kr. Banerjee, Guido Montúfar

We present a unifying picture of PAC-Bayesian and mutual information-based upper bounds on the generalization error of randomized learning algorithms.

Generalization Bounds

PAC-Bayes and Information Complexity

no code implementations ICLR Workshop Neural_Compression 2021 Pradeep Kr. Banerjee, Guido Montufar

We point out that a number of well-known PAC-Bayesian-style and information-theoretic generalization bounds for randomized learning algorithms can be derived under a common framework starting from a fundamental information exponential inequality.

Generalization Bounds

The Variational Deficiency Bottleneck

no code implementations27 Oct 2018 Pradeep Kr. Banerjee, Guido Montúfar

We introduce a bottleneck method for learning data representations based on information deficiency, rather than the more traditional information sufficiency.

General Classification

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