Search Results for author: Nilin Abrahamsen

Found 6 papers, 1 papers with code

A Kaczmarz-inspired approach to accelerate the optimization of neural network wavefunctions

no code implementations18 Jan 2024 Gil Goldshlager, Nilin Abrahamsen, Lin Lin

Neural network wavefunctions optimized using the variational Monte Carlo method have been shown to produce highly accurate results for the electronic structure of atoms and small molecules, but the high cost of optimizing such wavefunctions prevents their application to larger systems.

Variational Monte Carlo

Inventing art styles with no artistic training data

1 code implementation19 May 2023 Nilin Abrahamsen, Jiahao Yao

We propose two procedures to create painting styles using models trained only on natural images, providing objective proof that the model is not plagiarizing human art styles.

Inductive Bias

Anti-symmetric Barron functions and their approximation with sums of determinants

no code implementations22 Mar 2023 Nilin Abrahamsen, Lin Lin

A fundamental problem in quantum physics is to encode functions that are completely anti-symmetric under permutations of identical particles.

Convergence of variational Monte Carlo simulation and scale-invariant pre-training

no code implementations21 Mar 2023 Nilin Abrahamsen, Zhiyan Ding, Gil Goldshlager, Lin Lin

We provide theoretical convergence bounds for the variational Monte Carlo (VMC) method as applied to optimize neural network wave functions for the electronic structure problem.

Variational Monte Carlo

Efficient anti-symmetrization of a neural network layer by taming the sign problem

no code implementations24 May 2022 Nilin Abrahamsen, Lin Lin

We show that the anti-symmetric projection of a two-layer neural network can be evaluated efficiently, opening the door to using a generic antisymmetric layer as a building block in anti-symmetric neural network Ansatzes.

Sparse Gaussian ICA

no code implementations2 Apr 2018 Nilin Abrahamsen, Philippe Rigollet

Independent component analysis (ICA) is a cornerstone of modern data analysis.

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