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The average energy curvature as a function of the particle number is a molecule-specific quantity, which measures the deviation of a given functional from the exact conditions of density functional theory (DFT). Related to the lack of…

Chemical Physics · Physics 2020-11-11 Alberto Fabrizio , Benjamin Meyer , Clemence Corminboeuf

Combinatorial optimization (CO) problems are often NP-hard and thus out of reach for exact algorithms, making them a tempting domain to apply machine learning methods. The highly structured constraints in these problems can hinder either…

Machine Learning · Computer Science 2023-11-21 Dinghuai Zhang , Hanjun Dai , Nikolay Malkin , Aaron Courville , Yoshua Bengio , Ling Pan

Generative models based on invertible transformations provide a physics-aware route to sample equilibrium configurations directly from the Boltzmann distribution, enabling efficient exploration of complex thermodynamic landscapes. Here, we…

Statistical Mechanics · Physics 2026-03-06 Luigi de Santis , John Russo , Andrea Ninarello

Real-world data is often assumed to lie within a low-dimensional structure embedded in high-dimensional space. In practical settings, we observe only a finite set of samples, forming what we refer to as the sample data subspace. It serves…

Machine Learning · Computer Science 2024-11-01 Weiguo Gao , Ming Li

Molecular representation learning methods typically tokenize molecules as individual atoms or use rigid, rule-based fragment decompositions, limiting their ability to capture meaningful chemical substructure context. We introduce…

Machine Learning · Computer Science 2026-05-26 Ankur Samanta , Rohan Gupta , Aditi Misra , Christian McIntosh Clarke , Jayakumar Rajadas

Discovery of atomistic systems with desirable properties is a major challenge in chemistry and material science. Here we introduce a novel, autoregressive, convolutional deep neural network architecture that generates molecular equilibrium…

Machine Learning · Statistics 2018-10-29 Niklas W. A. Gebauer , Michael Gastegger , Kristof T. Schütt

We consider feature representation learning problem of molecular graphs. Graph Neural Networks have been widely used in feature representation learning of molecular graphs. However, most existing methods deal with molecular graphs…

Machine Learning · Computer Science 2022-06-08 Zhaoning Yu , Hongyang Gao

We discuss and demonstrate an unsupervised machine-learning procedure to detect topological order in quantum many-body systems. Using a restricted Boltzmann machine to define a variational ansatz for the low-energy spectrum, we sample wave…

Quantum Physics · Physics 2023-11-29 Yanting Teng , Subir Sachdev , Mathias S. Scheurer

Recent advances in machine learning for molecules exhibit great potential for facilitating drug discovery from in silico predictions. Most models for molecule generation rely on the decomposition of molecules into frequently occurring…

Chemical Physics · Physics 2023-11-08 Leon Hetzel , Johanna Sommer , Bastian Rieck , Fabian Theis , Stephan Günnemann

In the past decade, Artificial Intelligence driven drug design and discovery has been a hot research topic, where an important branch is molecule generation by generative models, from GAN-based models and VAE-based models to the latest…

Biomolecules · Quantitative Biology 2023-10-10 Siyuan Guo , Jihong Guan , Shuigeng Zhou

Biological machines like molecular motors and enzymes operate in dynamic cycles representable as stochastic flows on networks. Current stochastic dynamics describes such flows on fixed networks. Here, we develop a scalable approach to…

Statistical Mechanics · Physics 2026-03-02 Ying-Jen Yang , Ken A. Dill

Learning representations of molecular structures using deep learning is a fundamental problem in molecular property prediction tasks. Molecules inherently exist in the real world as three-dimensional structures; furthermore, they are not…

Machine Learning · Computer Science 2024-01-22 Daiki Koge , Naoaki Ono , Shigehiko Kanaya

Recent molecular dynamics simulations show that thermal gradients can induce electric fields in water that are comparable in magnitude to electric fields seen in ionic thin films and biomembranes. This surprising non-equilibrium phenomenon…

Statistical Mechanics · Physics 2016-12-09 Alpha A. Lee

Most proteins perform their biological function by interacting with one or more molecular partners. In this respect, characterizing the features of the molecular surface, especially in the portions where the interaction takes place, turned…

In this paper, we aim to synthesize cell microscopy images under different molecular interventions, motivated by practical applications to drug development. Building on the recent success of graph neural networks for learning molecular…

Biomolecules · Quantitative Biology 2020-06-16 Karren Yang , Samuel Goldman , Wengong Jin , Alex Lu , Regina Barzilay , Tommi Jaakkola , Caroline Uhler

Among the many variants of graph neural network (GNN) architectures capable of modeling data with cross-instance relations, an important subclass involves layers designed such that the forward pass iteratively reduces a graph-regularized…

Machine Learning · Computer Science 2025-03-03 Haitian Jiang , Renjie Liu , Zengfeng Huang , Yichuan Wang , Xiao Yan , Zhenkun Cai , Minjie Wang , David Wipf

Bayesian Inference offers principled tools to tackle many critical problems with modern neural networks such as poor calibration and generalization, and data inefficiency. However, scaling Bayesian inference to large architectures is…

Using normalizing flows and reweighting, Boltzmann Generators enable equilibrium sampling from a Boltzmann distribution, defined by an energy function and thermodynamic state. In this work, we introduce Thermodynamic Interpolation (TI),…

Chemical Physics · Physics 2024-11-18 Selma Moqvist , Weilong Chen , Mathias Schreiner , Feliks Nüske , Simon Olsson

The rational design of molecules with desired properties is a long-standing challenge in chemistry. Generative neural networks have emerged as a powerful approach to sample novel molecules from a learned distribution. Here, we propose a…

One of the grand challenges of cell biology is inferring the gene regulatory network (GRN) which describes interactions between genes and their products that control gene expression and cellular function. We can treat this as a causal…

Machine Learning · Computer Science 2023-12-27 Lazar Atanackovic , Alexander Tong , Bo Wang , Leo J. Lee , Yoshua Bengio , Jason Hartford