Search Results for author: Botao Li

Found 6 papers, 1 papers with code

An Explicit Scheme for Pathwise XVA Computations

no code implementations24 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.

regression

The Probabilistic Stability of Stochastic Gradient Descent

no code implementations23 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.

Learning Theory

Exact Solutions of a Deep Linear Network

no code implementations10 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.

SGD Can Converge to Local Maxima

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.

SGD with a Constant Large Learning Rate Can Converge to Local Maxima

no code implementations25 Jul 2021 Liu Ziyin, Botao Li, James B. Simon, Masahito Ueda

Previous works on stochastic gradient descent (SGD) often focus on its success.

Multithreaded event-chain Monte Carlo with local times

1 code implementation23 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

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