no code implementations • 24 Jan 2024 • Lokman Abbas-Turki, Stéphane Crépey, Botao Li, Bouazza Saadeddine
Motivated by the equations of cross valuation adjustments (XVAs) in the realistic case where capital is deemed fungible as a source of funding for variation margin, we introduce a simulation/regression scheme for a class of anticipated BSDEs, where the coefficient entails a conditional expected shortfall of the martingale part of the solution.
no code implementations • 23 Mar 2023 • Liu Ziyin, Botao Li, Tomer Galanti, Masahito Ueda
Characterizing and understanding the stability of Stochastic Gradient Descent (SGD) remains an open problem in deep learning.
no code implementations • 10 Feb 2022 • Liu Ziyin, Botao Li, Xiangming Meng
This work finds the analytical expression of the global minima of a deep linear network with weight decay and stochastic neurons, a fundamental model for understanding the landscape of neural networks.
no code implementations • ICLR 2022 • Liu Ziyin, Botao Li, James B Simon, Masahito Ueda
Stochastic gradient descent (SGD) is widely used for the nonlinear, nonconvex problem of training deep neural networks, but its behavior remains poorly understood.
no code implementations • 25 Jul 2021 • Liu Ziyin, Botao Li, James B. Simon, Masahito Ueda
Previous works on stochastic gradient descent (SGD) often focus on its success.
1 code implementation • 23 Apr 2020 • Botao Li, Synge Todo, A. C. Maggs, Werner Krauth
We present a multithreaded event-chain Monte Carlo algorithm (ECMC) for hard spheres.
Computational Physics Soft Condensed Matter