7 citations · 7 across the 3 of their papers we have counts for
4 papers
Convergence of Markov Chains for Constant Step-size Stochastic Gradient Descent with Separable Functions
David Shirokoff, Philip Zaleski
Stochastic gradient descent (SGD) is a popular algorithm for minimizing objective functions that arise in machine learning. For constant step-sized SGD, the iterates form a Markov…
A variational model of charged drops in dielectrically matched binary fluids: the effect of charge discreteness
Cyrill B. Muratov, Matteo Novaga, Philip Zaleski
This paper addresses the ill-posedness of the classical Rayleigh variational model of conducting charged liquid drops by incorporating the discreteness of the elementary charges. I…
Numerical Simulation of Superparamagnetic Nanoparticle Motion in Blood Vessels for Magnetic Drug Delivery
M. Lee, A. Shelke, S. Singh +3
A numerical model is developed for the motion of superparamagnetic nanoparticles in a non-Newtonian blood flow under the influence of a magnetic field. The rheological properties o…
Excitation of interfacial waves via near---resonant surface---interfacial wave interactions
Joseph Zaleski, Philip Zaleski, Yuri V Lvov
We consider interactions between surface and interfacial waves in the two layer system. Our approach is based on the Hamiltonian structure of the equations of motion, and includes…