Search Results for author: Akshunna S. Dogra

Found 7 papers, 1 papers with code

Universality of Winning Tickets: A Renormalization Group Perspective

no code implementations7 Oct 2021 William T. Redman, Tianlong Chen, Zhangyang Wang, Akshunna S. Dogra

Foundational work on the Lottery Ticket Hypothesis has suggested an exciting corollary: winning tickets found in the context of one task can be transferred to similar tasks, possibly even across different architectures.

Universality of Deep Neural Network Lottery Tickets: A Renormalization Group Perspective

no code implementations29 Sep 2021 William T Redman, Tianlong Chen, Akshunna S. Dogra, Zhangyang Wang

Foundational work on the Lottery Ticket Hypothesis has suggested an exciting corollary: winning tickets found in the context of one task can be transferred to similar tasks, possibly even across different architectures.

Local error quantification for Neural Network Differential Equation solvers

no code implementations24 Aug 2020 Akshunna S. Dogra, William T Redman

Neural networks have been identified as powerful tools for the study of complex systems.

Error Estimation and Correction from within Neural Network Differential Equation Solvers

no code implementations9 Jul 2020 Akshunna S. Dogra

Our methods do not require advance knowledge of the true solutions and obtain explicit relationships between loss functions and the error associated with solution estimates.

Optimizing Neural Networks via Koopman Operator Theory

no code implementations NeurIPS 2020 Akshunna S. Dogra, William T Redman

Koopman operator theory, a powerful framework for discovering the underlying dynamics of nonlinear dynamical systems, was recently shown to be intimately connected with neural network training.

Dynamical Systems and Neural Networks

no code implementations20 Apr 2020 Akshunna S. Dogra

Neural Networks (NNs) have been identified as a potentially powerful tool in the study of complex dynamical systems.

Dynamical Systems Signal Processing

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