• December 20, 2024
• in Python, ML
• 11 min read

Neural Network Models for Chemistry

# Neural-Network-Models-for-Chemistry

A collection of Neural Network Models for chemistry - Quantum Chemistry Method - Force Field Method - Kernel Methods - Not based on Graph Models - Graph Domain Models - Transformer Domain Models - Universal models - Empirical force field

• Semi-Empirical Method
• Coarse-Grained Method
• Enhanced Sampling Method
• QM/MM Method

Quantum Chemistry Method

• DeePKS, DeePHF
  DeePKS-kit is a program to generate accurate energy functionals for quantum chemistry systems, for both perturbative scheme (DeePHF) and self-consistent scheme (DeePKS).

• NeuralXC
  Implementation of a machine-learned density functional.

• MOB-ML
  Machine Learning for Molecular Orbital Theory, they offer analytic gradient.

• DM21
  Pushing the Frontiers of Density Functionals by Solving the Fractional Electron Problem.

• NN-GGA, NN-NRA, NN-meta-GGA, NN-LSDA
  Completing density functional theory by machine-learning hidden messages from molecules.

• FemiNet
  FermiNet is a neural network for learning highly accurate ground state wavefunctions of atoms and molecules using a variational Monte Carlo approach.

• PauliNet
  PauliNet builds upon HF or CASSCF orbitals as a physically meaningful baseline and takes a neural network approach to the SJB wavefunction in order tocorrect this baseline towards a high-accuracy solution.

• DeePErwin
  DeepErwin is python package that implements and optimizes wave function models for numerical solutions to the multi-electron Schrödinger equation.

• Jax-DFT
  JAX-DFT implements one-dimensional density functional theory (DFT) in JAX. It uses powerful JAX primitives to enable JIT compilation, automatical differentiation, and high-performance computation on GPUs.

• sns-mp2
  Improving the accuracy of Moller-Plesset perturbation theory with neural networks

• DeepH-pack
  
  Deep neural networks for density functional theory Hamiltonian.

• DeepH-E3
  
  General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian

• kdft
  The Kernel Density Functional (KDF) code allows generating ML-based DFT functionals.

• ML-DFT
  ML-DFT: Machine learning for density functional approximations This repository contains the implementation for the kernel ridge regression based density functional approximation method described in the paper "Quantum chemical accuracy from density functional approximations via machine learning".

• D4FT
  this work proposed a deep-learning approach to KS-DFT. First, in contrast to the conventional SCF loop, directly minimizing the total energy by reparameterizing the orthogonal constraint as a feed-forward computation. They prove that such an approach has the same expressivity as the SCF method yet reduces the computational complexity from O(N^4) to O(N^3)

• SchOrb
  Unifying machine learning and quantum chemistry with a deep neural network for molecular wavefunctions

• CiderPress
  Tools for training and evaluating CIDER functionals for use in Density Functional Theory calculations.

• ML-RPA
  This work demonstrates how machine learning can extend the applicability of the RPA to larger system sizes, time scales, and chemical spaces.

• ΔOF-MLFF
  a Δ-machine learning model for obtaining Kohn–Sham accuracy from orbital-free density functional theory (DFT) calculations

• PairNet
  A molecular orbital based machine learning model for predicting accurate CCSD(T) correlation energies. The model, named as PairNet, shows excellent transferability on several public data sets using features inspired by pair natural orbitals(PNOs).

• SPAHM(a,b)
  SPAHM(a,b): encoding the density information from guess Hamiltonian in quantum machine learning representations

• GradDFT
  GradDFT is a JAX-based library enabling the differentiable design and experimentation of exchange-correlation functionals using machine learning techniques.

• lapnet
  A JAX implementation of the algorithm and calculations described in Forward Laplacian: A New Computational Framework for Neural Network-based Variational Monte Carlo.

• M-OFDFT
  M-OFDFT is a deep-learning implementation of orbital-free density functional theory that achieves DFT-level accuracy on molecular systems but with lower cost complexity, and can extrapolate to much larger molecules than those seen during training

• ACE-Kohn-Sham DM
  we present a parameterized representation for learning the mapping from a molecular configuration to its corresponding density matrix using the Atomic Cluster Expansion (ACE) framework, which preserves the physical symmetries of the mapping, including isometric equivariance and Grassmannianity.

• ANN for Schrodinger
  Artificial neural networks (NN) are universal function approximators and have shown great ability in computing the ground state energy of the electronic Schrödinger equation, yet NN has not established itself as a practical and accurate approach to solving the vibrational Schrödinger equation for realistic polyatomic molecules to obtain vibrational energies and wave functions for the excited states

• equivariant_electron_density
  Generate and predict molecular electron densities with Euclidean Neural Networks

• DeePDFT
  This is the official Implementation of the DeepDFT model for charge density prediction.

• DFA_recommeder
  System-specific density functional recommender

• EG-XC
  The accuracy of density functional theory hinges on the approximation of nonlocal contributions to the exchange-correlation (XC) functional. To date, machine-learned and human-designed approximations suffer from insufficient accuracy, limited scalability, or dependence on costly reference data. To address these issues, we introduce Equivariant Graph Exchange Correlation (EG-XC), a novel non-local XC functional based on equivariant graph neural network

• scdp
  Machine learning methods are promising in significantly accelerating charge density prediction, yet existing approaches either lack accuracy or scalability. They propose a recipe that can achieve both. In particular, they identify three key ingredients: (1) representing the charge density with atomic and virtual orbitals (spherical fields centered at atom/virtual coordinates); (2) using expressive and learnable orbital basis sets (basis function for the spherical fields); and (3) using high-capacity equivariant neural network architecture

• physics-informed-DFT
  We have developed an approach for physics-informed training of flexible empirical density functionals. In this approach, the “physics knowledge” is transferred from PBE, or any other exact-constraints-based functional, using local exchange−correlation energy density regularization, i.e., by adding its local energies into the training set

• SchrodingerNet
  SchrödingerNet offers a novel approach to solving the full electronic-nuclear Schrödinger equation (SE) by defining a custom loss function designed to equalize local energies throughout the system.

• qmlearn
  Quantum Machine Learning by learning one-body reduced density matrices in the AO basis.

• Multi-task-electronic
  This package provides a python realization of the multi-task EGNN (equivariant graph neural network) for molecular electronic structure described in the paper "Multi-task learning for molecular electronic structure approaching coupled-cluster accuracy".

• aPBE0
  We propose adaptive hybrid functionals, generating optimal exact exchange admixture ratios on the fly using data- efficient quantum machine learning models with negligible overhead. The adaptive Perdew-Burke-Ernzerhof hybrid density functional (aPBE0) improves energetics, electron densities, and HOMO- LUMO gaps in QM9, QM7b, and GMTKN55 benchmark datasets.

• Skala
  In this work, we present Skala, a modern deep learning-based XC functional that bypasses expensive hand-designed features by learning representations directly from data. Skala achieves chemical accuracy for atomization energies of small molecules while retaining the computational efficiency typical of semi-local DFT.

Quantum Monte Carlo

• DeePQMC
  DeepQMC implements variational quantum Monte Carlo for electrons in molecules, using deep neural networks written in PyTorch as trial wave functions.

• oneqmc
  This package provides an implementation of the Orbformer wave function foundation model.

Green Function

• DeepGreen
  The many-body Green's function provides access to electronic properties beyond density functional theory level in ab inito calculations. It present proof-of-concept benchmark results for both molecules and simple periodic systems, showing that our method is able to provide accurate estimate of physical observables such as energy and density of states based on the predicted Green's function.

Force Field Method

Kernel Methods

• wigner_kernel
  They propose a novel density-based method which involves computing "Wigner kernels".

• sGDML
  Symmetric Gradient Domain Machine Learning, focusing on kernel-based representations for molecular force fields.

Not based on Graph Models

• DeePMD
  A package designed to minimize the effort required to build deep learning based model of interatomic potential energy and force field and to perform molecular dynamics.

• GAP
  This package is part of QUantum mechanics and Interatomic Potentials Part of the QUantum mechanics and Interatomic Potentials package, using Gaussian process regression for invariant potentials.

• QUIP
  The QUIP package is a collection of software tools to carry out molecular dynamics simulations. It implements a variety of interatomic potentials and tight binding quantum mechanics, and is also able to call external packages, and serve as plugins to other software such as LAMMPS, CP2K and also the python framework ASE.

• EANN
  Embedded Atomic Neural Network (EANN) is a physically-inspired neural network framework. The EANN package is implemented using the PyTorch framework used to train interatomic potentials, dipole moments, transition dipole moments and polarizabilities of various systems.

• REANN
  Recursively embedded atom neural network (REANN) is a PyTorch-based end-to-end multi-functional Deep Neural Network Package for Molecular, Reactive and Periodic Systems.

• FIREANN
  Field-induced Recursively embedded atom neural network (FIREANN) is a PyTorch-based end-to-end multi-functional Deep Neural Network Package for Molecular, Reactive and Periodic Systems under the presence of the external field with rigorous rotational equivariance.

• SCFNN
  A self consistent field neural network (SCFNN) model.

• Torch-ANI
  TorchANI is a pytorch implementation of ANI model.

• PESPIP
  Mathematica programs for choosing the best basis of permutational invariant polynomials for fitting a potential energy surface

• RuNNer
  A program package for constructing high-dimensional neural network potentials,4G-HDNNPs,3G-HDNNPs.

• aenet
  The Atomic Energy NETwork (ænet) package is a collection of tools for the construction and application of atomic interaction potentials based on artificial neural networks.

• aevmod
  
  This package provides functionality for computing an atomic environment vector (AEV), as well as its Jacobian and Hessian.

• TensorMol
  A pakcages of NN model chemistry, contains Behler-Parrinello with electrostatics, Many Body Expansion Bonds in Molecules NN, Atomwise, Forces, Inductive Charges.

• PairNet-OPs/PairFE-Net
  In PairFE-Net, an atomic structure is encoded using pairwise nuclear repulsion forces

Graph Domain models

• Nequip
  NequIP is an open-source code for building E(3)-equivariant interatomic potentials.

• E3NN
  Euclidean neural networks,The aim of this library is to help the development of E(3) equivariant neural networks. It contains fundamental mathematical operations such as tensor products and spherical harmonics.

• XequiNet
  XequiNet is an equivariant graph neural network for predicting the properties of chemical molecules or periodical systems.

• SchNet
  SchNet is a deep learning architecture that allows for spatially and chemically resolved insights into quantum-mechanical observables of atomistic systems.

• SchNetPack
  SchNetPack aims to provide accessible atomistic neural networks that can be trained and applied out-of-the-box, while still being extensible to custom atomistic architectures. contains schnet,painn,filedschnet,so3net

• G-SchNet
  Implementation of G-SchNet - a generative model for 3d molecular structures.

• PhysNet
  PhysNet: A Neural Network for Predicting Energies, Forces, Dipole Moments and Partial Charges.

• DimeNet
  Directional Message Passing Neural Network.

• GemNet
  Universal Directional Graph Neural Networks for Molecules.

• DeePMoleNet
  DeepMoleNet is a deep learning package for molecular properties prediction.

• AirNet
  A new GNN-based deep molecular model by MindSpore.

• TorchMD-Net
  TorchMD-NET provides graph neural networks and equivariant transformer neural networks potentials for learning molecular potentials.

• charge_transfer_nnp
  About Graph neural network potential with charge-transfer with nequip model.

• ForceNet
  We demonstrate that force-centric GNN models without any explicit physical constraints are able to predict atomic forces more accurately than state-of-the-art energy centric GNN models, while being faster both in training and inference.

• DIG
  A library for graph deep learning research.

• scn
  Spherical Channels for Modeling Atomic Interactions

• spinconv
  
  Rotation Invariant Graph Neural Networks using Spin Convolutions.

• VisNet
  a scalable and accurate geometric deep learning potential for molecular dynamics simulation

• alignn
  The Atomistic Line Graph Neural Network (https://www.nature.com/articles/s41524-021-00650-1) introduces a new graph convolution layer that explicitly models both two and three body interactions in atomistic systems.

• So3krates
  Repository for training, testing and developing machine learned force fields using the So3krates model.

• spice-model-five-net
  Contains the five equivariant transformer models about the spice datasets(https://github.com/openmm/spice-dataset/releases/tag/1.1).

• sake
  Spatial Attention Kinetic Networks with E(n)-Equivariance

• eqgat
  Pytorch implementation for the manuscript Representation Learning on Biomolecular Structures using Equivariant Graph Attention

• GNN-LF
  Graph Neural Network With Local Frame for Molecular Potential Energy Surface

• Cormorant
  We propose Cormorant, a rotationally covariant neural network architecture for learning the behavior and properties of complex many-body physical systems.

• LieConv
  Generalizing Convolutional Neural Networks for Equivariance to Lie Groups on Arbitrary Continuous Data

• torchmd-net/ET
  Neural network potentials based on graph neural networks and equivariant transformers

• torchmd-net/TensorNet+0.1S
  On the Inclusion of Charge and Spin States in Cartesian Tensor Neural Network Potentials

• GemNet
  GemNet: Universal Directional Graph Neural Networks for Molecules

• equiformer
  Equiformer: Equivariant Graph Attention Transformer for 3D Atomistic Graphs

• VisNet-LSRM
  Inspired by fragmentation-based methods, we propose the Long-Short-Range Message-Passing (LSR-MP) framework as a generalization of the existing equivariant graph neural networks (EGNNs) with the intent to incorporate long-range interactions efficiently and effectively.

• AP-net
  AP-Net: An atomic-pairwise neural network for smooth and transferable interaction potentials

• MACE
  MACE provides fast and accurate machine learning interatomic potentials with higher order equivariant message passing.

• Unimol+
  Uni-Mol+ first generates a raw 3D molecule conformation from inexpensive methods such as RDKit. Then, the raw conformation is iteratively updated to its target DFT equilibrium conformation using neural networks, and the learned conformation will be used to predict the QC properties.

• ColfNet
  Inspired by differential geometry and physics, we introduce equivariant local complete frames to graph neural networks, such that tensor information at given orders can be projected onto the frames.

• LeftNet
  A New Perspective on Building Efficient and Expressive 3D Equivariant Graph Neural Networks

• SO3krates with transformer
  we propose a transformer architecture called SO3krates that combines sparse equivariant representations.

• LEIGNN A lightweight equivariant interaction graph neural network (LEIGNN) that can enable accurate and efficient interatomic potential and force predictions in crystals. Rather than relying on higher-order representations, LEIGNN employs a scalar-vector dual representation to encode equivariant feature.

• Multi-fidelity GNNs
  Multi-fidelity GNNs for drug discovery and quantum mechanics

• GPIP
  GPIP: Geometry-enhanced Pre-training on Interatomic Potentials.they propose a geometric structure learning framework that leverages the unlabeled configurations to improve the performance of MLIPs. Their framework consists of two stages: firstly, using CMD simulations to generate unlabeled configurations of the target molecular system; and secondly, applying geometry-enhanced self-supervised learning techniques, including masking, denoising, and contrastive learning, to capture structural information

• ictp
  Official repository for the paper "Higher Rank Irreducible Cartesian Tensors for Equivariant Message Passing". It is built upon the ALEBREW repository and implements irreducible Cartesian tensors and their products.

• CHGNet
  A pretrained universal neural network potential for charge-informed atomistic modeling (see publication)

• GPTFF
  GPTFF(graph-based pre-trained transformer forcefield): A high-accuracy out-of-the-box universal AI force field for arbitrary inorganic materials

• cace
  The Cartesian Atomic Cluster Expansion (CACE) is a new approach for developing machine learning interatomic potentials. This method utilizes Cartesian coordinates to provide a complete description of atomic environments, maintaining interaction body orders. It integrates low-dimensional embeddings of chemical elements with inter-atomic message passing.

Transformer Domain

• SpookyNet
  Spookynet: Learning force fields with electronic degrees of freedom and nonlocal effects.

• trip
  Transformer Interatomic Potential (TrIP): a chemically sound potential based on the SE(3)-Transformer

• e3x
  E3x is a JAX library for constructing efficient E(3)-equivariant deep learning architectures built on top of Flax. The goal is to provide common neural network building blocks for E(3)-equivariant architectures to make the development of models operating on three-dimensional data (point clouds, polygon meshes, etc.) easier.

• EScAIP
  EScAIP: Efficiently Scaled Attention Interatomic Potential.

• graph-free-transformer
  Our findings suggest that Transformers can learn many of the graph-based inductive biases typically built into current ML models for chemistry—while doing so more flexibly.

Universal model

• egret
  This repository contains the Egret family of neural network potentials, developed by Rowan using the MACE architecture.

• eSEN
  The resulting model, eSEN, provides state-of-the-art results on a range of physical property prediction tasks,

• UNA
  UMA: A Family of Universal Models for Atoms, a modified model of eSEN.

• AIMNET
  This repository contains reference AIMNet implementation along with some examples and menchmarks.

• AIMNet2
  A general-purpose neural netrork potential for organic and element-organic molecules.

• MACE-OFF23
  This repository contains the MACE-OFF23 pre-traained transferable organic force fields.

• Orb-V3
  Trained on the Open Molecules 2025 (OMol25) dataset—over 100M high-accuracy DFT calculations (ωB97M-V/def2-TZVPD) on diverse molecular systems including metal complexes, biomolecules, and electrolytes.

Empirical force field

• PAMNet
  PAMNet(Physics-aware Multiplex Graph Neural Network) is an improved version of MXMNet and outperforms state-of-the-art baselines regarding both accuracy and efficiency in diverse tasks including small molecule property prediction, RNA 3D structure prediction, and protein-ligand binding affinity prediction.

• grappa
  A machine-learned molecular mechanics force field using a deep graph attentional network

• espaloma
  Extensible Surrogate Potential of Ab initio Learned and Optimized by Message-passing Algorithm.
• FeNNol
  FeNNol is a library for building, training and running neural network potentials for molecular simulations. It is based on the JAX library and is designed to be fast and flexible.
• ByteFF
  In this study, we address this issue usinga modern data-driven approach, developing ByteFF, an Amber-compatible force fi eld for drug-like molecules. To create ByteFF, we generated an expansive and highly diverse molecular dataset at the B3LYP-D3(BJ)/DZVP level of theory. This dataset includes 2.4 million optimized molecular fragment geometries with analytical Hessian matrices, along with 3.2 million torsion profiles

• GB-FFs
  Graph-Based Force Fields Model to parameterize Force Fields by Graph Attention Networks

• ARROW-NN
  The simulation conda package contains the InterX ARBALEST molecular dynamics simulation software along with all the necessary database files to run ARROW-NN molecular simulations

• AMOEBA+NN
  It present an integrated non-reactive hybrid model, AMOEBA+NN, which employs the AMOEBA potential for the short- and long-range non-bonded interactions and an NNP to capture the remaining local (covalent) contributions

• bamboo Welcome to the repository of BAMBOO! This repository hosts the source code for creating a machine learning-based force field (MLFF) for molecular dynamics (MD) simulations of lithium battery electrolytes. Whether you're interested in simulating lithium battery electrolytes or other types of liquids, BAMBOO provides a robust and versatile solution.

• ResFF
  
  We introduce ResFF, a hybrid machine learning force field that employs deep residual learning to integrate explicit physics-based bonded terms with residual corrections from a lightweight equivariant neural network. Through a three-stage joint optimization, ResFF decomposes molecular energy into dominant bonded contributions and complex noncovalent deviations.

Tools and potentials

• rascaline
  Rascaline is a library for the efficient computing of representations for atomistic machine learning also called "descriptors" or "fingerprints". These representations can be used for atomistic machine learning (ml) models including ml potentials, visualization or similarity analysis.

• AIRS
  AIRS is a collection of open-source software tools, datasets, and benchmarks associated with our paper entitled “Artificial Intelligence for Science in Quantum, Atomistic, and Continuum Systems”.

• phast
  PyTorch implementation for PhAST: Physics-Aware, Scalable and Task-specific GNNs for Accelerated Catalyst Design

• mdgrad
  Pytorch differentiable molecular dynamics

• NerualForceFild
  The Neural Force Field (NFF) code is an API based on SchNet, DimeNet, PaiNN and DANN. It provides an interface to train and evaluate neural networks for force fields. It can also be used as a property predictor that uses both 3D geometries and 2D graph information.

• NNPOps
  The goal of this project is to promote the use of neural network potentials (NNPs) by providing highly optimized, open-source implementations of bottleneck operations that appear in popular potentials.

• jax-md
  JAX MD is a functional and data driven library. Data is stored in arrays or tuples of arrays and functions transform data from one state to another.

• AQML
  AQML is a mixed Python/Fortran/C++ package, intends to simulate quantum chemistry problems through the use of the fundamental building blocks of larger systems.

• MDsim
  Training and simulating MD with ML force fields

• AMP
  Amp: A modular approach to machine learning in atomistic simulations(https://github.com/ulissigroup/amptorch)

• HIPPYNN
  a modular library for atomistic machine learning with pytorch.

• flare
  FLARE is an open-source Python package for creating fast and accurate interatomic potentials.

• nnp-pre-training
  Synthetic pre-training for neural-network interatomic potentials

• mlp-train
  General machine learning potentials (MLP) training for molecular systems in gas phase and solution

• NNP-MM
  NNP/MM embeds a Neural Network Potential into a conventional molecular mechanical (MM) model.

• GAMD
  Data and code for Graph neural network Accelerated Molecular Dynamics.

• PFP
  Here we report a development of universal NNP called PreFerred Potential (PFP), which is able to handle any combination of 45 elements. Particular emphasis is placed on the datasets, which include a diverse set of virtual structures used to attain the universality.

• TeaNet
  universal neural network interatomic potential inspired by iterative electronic relaxations.

• n2p2
  This repository provides ready-to-use software for high-dimensional neural network potentials in computational physics and chemistry.

• charge3net
  Official implementation of ChargeE3Net, introduced in Higher-Order Equivariant Neural Networks for Charge Density Prediction in Materials.

• jax-nb
  This is a JAX implementation of Polarizable Charge Equilibrium (PQEq) and DFT-D3 dispersion correction.

• AlF_dimer
  a global potential for AlF-AlF dimer

• Schrodinger-ANI
  A neural network potential energy function for use in drug discovery, with chemical element support extended from 41% to 94% of druglike molecules based on ChEMBL.

• q-AQUA,q-AQUA-pol
  CCSD(T) potential for water, interfaced with TTM3-F

• gimlet
  Graph Inference on Molecular Topology. A package for modelling, learning, and inference on molecular topological space written in Python and TensorFlow.

Semi-Empirical Quantum Mechanical Method

with SQM feature

• DeePaTB
  We present Deep Atomic Density-Based Tight-Binding (DeePaTB), a novel machine learning-based semi-empirical quantum mechanical (ML-SQM) framework, developed upon our recently proposed atomic density-based tight-binding (aTB) method, which can generate the descriptor by Amesp, "eigenvalue of the local density matrix." This neural network-enhanced semi-empirical quantum mechanical model demonstrates remarkable computational efficiency and transferability across diverse chemical systems.

• OrbNet; OrbNet Denali
  OrbNet Denali: A machine learning potential for biological and organic chemistry with semi-empirical cost and DFT accuracy.

• OrbNet-Equi
  INFORMING GEOMETRIC DEEP LEARNING WITH ELECTRONIC INTERACTIONS TO ACCELERATE QUANTUM CHEMISTRY

• OrbNet-Spin,OrbitAll
  OrbNet-Spin incorporates a spin-polarized treatment into the underlying semiempirical quantum mechanics orbital featurization and adjusts the model architecture accordingly while maintaining the geometrical constraints.

• EHM-ML
  Machine Learned Hückel Theory: Interfacing Physics and Deep Neural Networks. The Hückel Hamiltonian is an incredibly simple tight-binding model known for its ability to capture qualitative physics phenomena arising from electron interactions in molecules and materials.

• DFTBML
  DFTBML provides a systematic way to parameterize the Density Functional-based Tight Binding (DFTB) semiempirical quantum chemical method for different chemical systems by learning the underlying Hamiltonian parameters rather than fitting the potential energy surface directly.

• NN-xTB
  Fast, general, and interpretable quantum accuracy remains a challenge. To address it, we introduce Neural Network Extended Tight-Binding (NN-xTB), a Hamiltonian-preserving scheme that augments the GFN2-xTB operator with small, bounded, environment-dependent shifts to a compact set of physically interpretable parameters predicted by neural network.

without SQM fearure

• AIQM1, AIQM2
  Artificial intelligence-enhanced quantum chemical method with broad applicability.

• BpopNN
  Incorporating Electronic Information into Machine Learning Potential Energy Surfaces via Approaching the Ground-State Electronic Energy as a Function of Atom-Based Electronic Populations.

• Delfta
  The DelFTa application is an easy-to-use, open-source toolbox for predicting quantum-mechanical properties of drug-like molecules. Using either ∆-learning (with a GFN2-xTB baseline) or direct-learning (without a baseline), the application accurately approximates DFT reference values (ωB97X-D/def2-SVP).

• PYSEQM
  PYSEQM is a Semi-Empirical Quantum Mechanics package implemented in PyTorch.

• PM6-ML
  MOPAC-ML implements the PM6-ML method, a semiempirical quantum-mechanical computational method that augments PM6 with a machine learning (ML) correction. It acts as a wrapper calling a modified version of MOPAC, to which it provides the ML correction.

• XpaiNN@xTB
  A model can deal with optimization, and frequency prediction

• hotpp
  HotPP is an open-source package designed for constructing message passing network interatomic potentials. It facilitates the utilization of arbitrary order Cartesian tensors as messages while maintaining equivalence maintenance

• LiTEN, LiTEN-FF
  LiTEN, a novel equivariant neural network with Tensorized Quadrangle Attention (TQA). TQA efficiently models three- and four-body interactions with linear complexity by reparameterizing high-order tensor features via vector operations, avoiding costly spherical harmonics.

Coarse-Grained Method

• cgnet
  Coarse graining for molecular dynamics

• SchNet-CG
  We explore the application of SchNet models to obtain a CG potential for liquid benzene, investigating the effect of model architecture and hyperparameters on the thermodynamic, dynamical, and structural properties of the simulated CG systems, reporting and discussing challenges encountered and future directions envisioned.

• CG-SchNET
  By combining recent deep learning methods with a large and diverse training set of all-atom protein simulations, we here develop a bottom-up CG force field with chemical transferability, which can be used for extrapolative molecular dynamics on new sequences not used during model parametrization.

• torchmd-protein-thermodynamics
  This repository contains code, data and tutarial for reproducing the paper "Machine Learning Coarse-Grained Potentials of Protein Thermodynamics". https://arxiv.org/abs/2212.07492

• torchmd-exp
  This repository contains a method for training a neural network potential for coarse-grained proteins using unsupervised learning

• AICG
  Learning coarse-grained force fields for fibrogenesis modeling(https://doi.org/10.1016/j.cpc.2023.108964)

Enhanced Sampling Method

• VES-NN
  Neural networks-based variationallyenhanced sampling

• Accelerated_sampling_with_autoencoder
  Accelerated sampling framework with autoencoder-based method

• Enhanced Sampling with Machine Learning: A Review
  we highlight successful strategies like dimensionality reduction, reinforcement learning, and fl ow-based methods. Finally, we discuss open problems at the exciting ML-enhanced MD interface

• mlcolvar
  mlcolvar is a Python library aimed to help design data-driven collective-variables (CVs) for enhanced sampling simulations.

QM/MM Model

• NNP-MM
  NNP/MM embeds a Neural Network Potential into a conventional molecular mechanical (MM) model. We have implemented this using the Custom QM/MM features of NAMD 2.13, which interface NAMD with the TorchANI NNP python library developed by the Roitberg and Isayev groups.

• DeeP-HP
  Scalable hybrid deep neural networks/polarizable potentials biomolecular simulations including long-range effects

• PairF-Net
  Here, we further develop the PairF-Net model to intrinsically incorporate energy conservation and couple the model to a molecular mechanical (MM) environment within the OpenMM package

• embedding
  This work presents a variant of an electrostatic embedding scheme that allows the embedding of arbitrary machine learned potentials trained on molecular systems in vacuo.

• field_schnet
  FieldSchNet provides a deep neural network for modeling the interaction of molecules and external environments as described.

• FieldMACE
  an extension of the message-passing atomic cluster expansion (MACE) architecture that integrates the multipole expansion to model long-range interactions more effi ciently. By incorporating the multipole expansion, FieldMACE eff ectively captures environmental and long-range eff ects in both ground and excited states.

• ML/MM
  This repository contains data and software regarding the paper submited to JCIM, entitled "Assessment of embedding schemes in a hybrid machine learning/classical potentials (ML/MM) approach".

• emle
  An engine for electrostatic ML embedding for multiscale modelling.

Credit by: @github.com/Eipgen/Neural-Network-Models-for-Chemistry