1 code implementation • 16 Dec 2022 • Mo Zhou, Jiequn Han, Manas Rachh, Carlos Borges
We present a neural network warm-start approach for solving the inverse scattering problem, where an initial guess for the optimization problem is obtained using a trained neural network.
8 code implementations • 25 Dec 2017 • George C. Linderman, Manas Rachh, Jeremy G. Hoskins, Stefan Steinerberger, Yuval Kluger
t-distributed Stochastic Neighborhood Embedding (t-SNE) is a method for dimensionality reduction and visualization that has become widely popular in recent years.
1 code implementation • 5 Sep 2017 • Yuanxun Bao, Manas Rachh, Eric Keaveny, Leslie Greengard, Aleksandar Donev
We present a fluctuating boundary integral method (FBIM) for overdamped Brownian Dynamics (BD) of two-dimensional periodic suspensions of rigid particles of complex shape immersed in a Stokes fluid.
Numerical Analysis
no code implementations • 9 Nov 2016 • Xiuyuan Cheng, Manas Rachh, Stefan Steinerberger
We study directed, weighted graphs $G=(V, E)$ and consider the (not necessarily symmetric) averaging operator $$ (\mathcal{L}u)(i) = -\sum_{j \sim_{} i}{p_{ij} (u(j) - u(i))},$$ where $p_{ij}$ are normalized edge weights.