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10/20/2022
On Representations of Mean-Field Variational Inference
The mean field variational inference (MFVI) formulation restricts the ge...
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02/23/2022
A Class of Geometric Structures in Transfer Learning: Minimax Bounds and Optimality
We study the problem of transfer learning, observing that previous effor...
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02/21/2022
Communication-Efficient Algorithms for Solving Pressure Poisson Equation for Multiphase Flows using Parallel Computers
Numerical solution of partial differential equations on parallel compute...
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02/04/2022
Polynomial convergence of iterations of certain random operators in Hilbert space
We study the convergence of random iterative sequence of a family of ope...
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10/21/2021
Hamiltonian Monte Carlo with Asymmetrical Momentum Distributions
Existing rigorous convergence guarantees for the Hamiltonian Monte Carlo...
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03/12/2021
EventGraD: Event-Triggered Communication in Parallel Machine Learning
Communication in parallel systems imposes significant overhead which oft...
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02/04/2021
HMC, an Algorithms in Data Mining, the Functional Analysis approach
The main purpose of this paper is to facilitate the communication betwee...
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01/21/2021
HMC, an example of Functional Analysis applied to Algorithms in Data Mining. The convergence in L^p
We present a proof of convergence of the Hamiltonian Monte Carlo algorit...
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12/22/2020
Unbiased Gradient Estimation for Distributionally Robust Learning
Seeking to improve model generalization, we consider a new approach base...
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05/22/2018
Efficient Stochastic Gradient Descent for Distributionally Robust Learning
We consider a new stochastic gradient descent algorithm for efficiently ...
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03/03/2018
Slow and Stale Gradients Can Win the Race: Error-Runtime Trade-offs in Distributed SGD
Distributed Stochastic Gradient Descent (SGD) when run in a synchronous ...
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07/05/2016