1 code implementation • 21 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.
1 code implementation • 6 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.
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.
no code implementations • 4 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.
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.
no code implementations • 27 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.