Search Results for author: Pulkit Gopalani

Found 5 papers, 1 papers with code

Global Convergence of SGD For Logistic Loss on Two Layer Neural Nets

no code implementations17 Sep 2023 Pulkit Gopalani, Samyak Jha, Anirbit Mukherjee

In this note, we demonstrate a first-of-its-kind provable convergence of SGD to the global minima of appropriately regularized logistic empirical risk of depth $2$ nets -- for arbitrary data and with any number of gates with adequately smooth and bounded activations like sigmoid and tanh.

Global Convergence of SGD On Two Layer Neural Nets

no code implementations20 Oct 2022 Pulkit Gopalani, Anirbit Mukherjee

In this note we demonstrate provable convergence of SGD to the global minima of appropriately regularized $\ell_2-$empirical risk of depth $2$ nets -- for arbitrary data and with any number of gates, if they are using adequately smooth and bounded activations like sigmoid and tanh.

Vocal Bursts Valence Prediction

Towards Size-Independent Generalization Bounds for Deep Operator Nets

no code implementations23 May 2022 Pulkit Gopalani, Sayar Karmakar, Dibyakanti Kumar, Anirbit Mukherjee

In recent times machine learning methods have made significant advances in becoming a useful tool for analyzing physical systems.

BIG-bench Machine Learning Generalization Bounds +1

Investigating the Role of Overparameterization While Solving the Pendulum with DeepONets

no code implementations NeurIPS Workshop DLDE 2021 Pulkit Gopalani, Anirbit Mukherjee

DeepONets [1] are one of the most prominent ideas in this theme which entails an optimization over a space of inner-products of neural nets.

On Adversarial Robustness: A Neural Architecture Search perspective

1 code implementation16 Jul 2020 Chaitanya Devaguptapu, Devansh Agarwal, Gaurav Mittal, Pulkit Gopalani, Vineeth N Balasubramanian

We show that NAS, which is popular for achieving SoTA accuracy, can provide adversarial accuracy as a free add-on without any form of adversarial training.

Adversarial Robustness Neural Architecture Search

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