activity
20202026
most citedWave function Ansatz (but Periodic) Networks and the Homogeneous Electron Gas

55 citations · 129 across the 18 of their papers we have counts for

collaborators

19 papers

cs.LG2026

Derivative Informed Learning of Exchange-Correlation Functionals

Eike S. Eberhard, Luca A. Thiede, Abdul Aldossary +5

Machine-learned (ML) exchange-correlation (XC) functionals aim to replace human-designed density functional approximations by learning directly from reference data, but they still…

cs.LG2026

Excited Pfaffians: Generalized Neural Wave Functions Across Structure and State

Nicholas Gao, Till Grutschus, Frank Noé +1

Neural-network wave functions in Variational Monte Carlo (VMC) have achieved great success in accurately representing both ground and excited states. However, achieving sufficient…

physics.chem-ph2025

An ab initio foundation model of wavefunctions that accurately describes chemical bond breaking

Adam Foster, Zeno Schätzle, P. Bernát Szabó +7

Reliable description of bond breaking remains a major challenge for quantum chemistry due to the multireference character of the electronic structure in dissociating species. Multi…

physics.comp-ph2025

Accurate Ab-initio Neural-network Solutions to Large-Scale Electronic Structure Problems

Michael Scherbela, Nicholas Gao, Philipp Grohs +1

We present finite-range embeddings (FiRE), a novel wave function ansatz for accurate large-scale ab-initio electronic structure calculations. Compared to contemporary neural-networ…

cs.LG2024

Learning Equivariant Non-Local Electron Density Functionals

Nicholas Gao, Eike Eberhard, Stephan Günnemann

The accuracy of density functional theory hinges on the approximation of non-local contributions to the exchange-correlation (XC) functional. To date, machine-learned and human-des…

cs.LG2024★ 1 cited

Lift Your Molecules: Molecular Graph Generation in Latent Euclidean Space

Mohamed Amine Ketata, Nicholas Gao, Johanna Sommer +2

We introduce a new framework for molecular graph generation with 3D molecular generative models. Our Synthetic Coordinate Embedding (SyCo) framework maps molecular graphs to Euclid…

cs.LG2024★ 1 cited

Neural Pfaffians: Solving Many Many-Electron Schrödinger Equations

Nicholas Gao, Stephan Günnemann

Neural wave functions accomplished unprecedented accuracies in approximating the ground state of many-electron systems, though at a high computational cost. Recent works proposed a…

quant-ph2024

On Representing Electronic Wave Functions with Sign Equivariant Neural Networks

Nicholas Gao, Stephan Günnemann

Recent neural networks demonstrated impressively accurate approximations of electronic ground-state wave functions. Such neural networks typically consist of a permutation-equivari…

cs.LG2023★ 16 cited

Artificial Intelligence for Science in Quantum, Atomistic, and Continuum Systems

Xuan Zhang, Limei Wang, Jacob Helwig +60

Advances in artificial intelligence (AI) are fueling a new paradigm of discoveries in natural sciences. Today, AI has started to advance natural sciences by improving, accelerating…

physics.chem-ph2023★ 5 cited

Uncertainty Estimation for Molecules: Desiderata and Methods

Tom Wollschläger, Nicholas Gao, Bertrand Charpentier +2

Graph Neural Networks (GNNs) are promising surrogates for quantum mechanical calculations as they establish unprecedented low errors on collections of molecular dynamics (MD) traje…

cs.LG2023★ 7 cited

Ewald-based Long-Range Message Passing for Molecular Graphs

Arthur Kosmala, Johannes Gasteiger, Nicholas Gao +1

Neural architectures that learn potential energy surfaces from molecular data have undergone fast improvement in recent years. A key driver of this success is the Message Passing N…

cs.LG2023★ 3 cited

Generalizing Neural Wave Functions

Nicholas Gao, Stephan Günnemann

Recent neural network-based wave functions have achieved state-of-the-art accuracies in modeling ab-initio ground-state potential energy surface. However, these networks can only s…

cs.LG2022★ 5 cited

Sampling-free Inference for Ab-Initio Potential Energy Surface Networks

Nicholas Gao, Stephan Günnemann

Recently, it has been shown that neural networks not only approximate the ground-state wave functions of a single molecular system well but can also generalize to multiple geometri…

quant-ph2022★ 1 cited

Quantum Robustness Verification: A Hybrid Quantum-Classical Neural Network Certification Algorithm

Nicola Franco, Tom Wollschlaeger, Nicholas Gao +2

In recent years, quantum computers and algorithms have made significant progress indicating the prospective importance of quantum computing (QC). Especially combinatorial optimizat…

physics.chem-ph2022★ 55 cited

Wave function Ansatz (but Periodic) Networks and the Homogeneous Electron Gas

Max Wilson, Saverio Moroni, Markus Holzmann +4

We design a neural network Ansatz for variationally finding the ground-state wave function of the Homogeneous Electron Gas, a fundamental model in the physics of extended systems o…

cs.LG2021★ 5 cited

Ab-Initio Potential Energy Surfaces by Pairing GNNs with Neural Wave Functions

Nicholas Gao, Stephan Günnemann

Solving the Schrödinger equation is key to many quantum mechanical properties. However, an analytical solution is only tractable for single-electron systems. Recently, neural netwo…

physics.chem-ph2021★ 8 cited

Simulations of state-of-the-art fermionic neural network wave functions with diffusion Monte Carlo

Max Wilson, Nicholas Gao, Filip Wudarski +2

Recently developed neural network-based \emph{ab-initio} solutions (Pfau et. al arxiv:1909.02487v2) for finding ground states of fermionic systems can generate state-of-the-art res…

cs.LG2020★ 16 cited

High-Dimensional Similarity Search with Quantum-Assisted Variational Autoencoder

Nicholas Gao, Max Wilson, Thomas Vandal +3

Recent progress in quantum algorithms and hardware indicates the potential importance of quantum computing in the near future. However, finding suitable application areas remains a…

cs.LG2020★ 6 cited

Fast and Flexible Temporal Point Processes with Triangular Maps

Oleksandr Shchur, Nicholas Gao, Marin Biloš +1

Temporal point process (TPP) models combined with recurrent neural networks provide a powerful framework for modeling continuous-time event data. While such models are flexible, th…