Machine Learning Interatomic Potentials: Advancing Open-Source Software for Efficient and Scalable Molecular Simulation
Pith reviewed 2026-05-22 03:29 UTC · model grok-4.3
The pith
mlip v2 introduces a modular API redesign, e3j backend, and eSEN architecture to make machine learning interatomic potentials faster and more scalable for molecular simulations.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The authors introduce mlip v2 as a new generation of the mlip library that advances efficient and scalable molecular simulation through a unified and extensible framework. The release includes a targeted API redesign with improved modularity and control for flexible customization of workflows, integration of the e3j high-performance backend for equivariant operations to accelerate inference and simulations, the eSEN architecture with a Mixture-of-Experts formulation for scalable training on large datasets, improved electrostatics via more physically grounded charge modeling and long-range interactions, and advanced simulation features including NPT ensembles and nudged elastic band methods.
What carries the argument
mlip v2, a unified extensible framework that combines API modularity, the e3j backend for equivariant operations, and the eSEN Mixture-of-Experts architecture to support flexible customization and high-performance molecular simulations.
Load-bearing premise
The new integrations of e3j, eSEN, and electrostatic improvements deliver the stated performance gains and physical accuracy without introducing errors or requiring extensive user tuning.
What would settle it
Direct comparison of wall-clock inference time and energy accuracy on a standard test set such as liquid water or small organic molecules before and after switching to the e3j backend and eSEN model.
Figures
read the original abstract
Machine learning interatomic potentials (MLIPs) enable atomistic simulations with near ab initio accuracy at significantly reduced computational cost, but their broader adoption is often limited by fragmented tooling, limited scalability, and inflexible software design. We present mlip v2, a new generation of the mlip library that advances efficient and scalable molecular simulation through a unified and extensible framework. The new release features a targeted API redesign with improved modularity and control, enabling flexible customization of training, data processing, and simulation workflows. It further integrates a new high-performance backend for equivariant operations, e3j, significantly accelerating model inference and simulations. In addition, the framework introduces a range of entirely new capabilities, including the eSEN architecture with a Mixture-of-Experts formulation for scalable training on large and diverse datasets, improved handling of electrostatics through more physically grounded charge modeling and long-range interaction treatment, and advanced simulation features such as NPT ensembles and nudged elastic band methods. Together, these extensions significantly broaden the scope of MLIP applications, enabling efficient modeling of complex, reactive, and out-of-equilibrium systems, and bridging the gap between ML research and practical molecular simulation applications. The library is available on GitHub and on PyPI under the Apache license 2.0.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript presents mlip v2, an updated open-source library for machine learning interatomic potentials (MLIPs). It describes a targeted API redesign for improved modularity in training, data processing, and simulation workflows; integration of a new high-performance e3j backend for equivariant operations to accelerate inference and simulations; the eSEN architecture incorporating a Mixture-of-Experts formulation for scalable training on large datasets; enhanced electrostatics via more physically grounded charge modeling and long-range interactions; and new simulation capabilities including NPT ensembles and nudged elastic band methods. The library is released under the Apache 2.0 license on GitHub and PyPI, with the goal of broadening MLIP applications to complex, reactive, and out-of-equilibrium systems.
Significance. If the described features deliver the claimed accelerations and accuracy improvements, the work could meaningfully advance practical adoption of MLIPs by providing a more extensible and performant open-source framework. The emphasis on modularity, equivariant performance, scalable architectures, and physically motivated electrostatics addresses real barriers in the field. However, the manuscript supplies no quantitative benchmarks, timing comparisons, error metrics against reference data, or scaling studies, which substantially weakens the ability to evaluate the significance of these contributions.
major comments (2)
- Abstract and description of new capabilities: the assertions that the e3j backend 'significantly accelerat[es] model inference and simulations' and that eSEN enables 'scalable training on large and diverse datasets' are central to the paper's claim of advancement, yet no timing data, scaling curves, ablation studies, or comparisons to mlip v1 or competing libraries (e.g., MACE, NequIP) are provided to substantiate them.
- Description of improved handling of electrostatics: the claim of 'more physically grounded charge modeling and long-range interaction treatment' is load-bearing for the assertion of improved physical accuracy, but the manuscript provides neither implementation details (e.g., charge equilibration scheme or Ewald summation parameters) nor validation against ab initio electrostatic energies or forces.
minor comments (2)
- The manuscript would benefit from a dedicated section or table summarizing the new features with version numbers, dependencies, and installation instructions to aid reproducibility for users.
- Clarify the relationship between the eSEN Mixture-of-Experts formulation and existing equivariant architectures; a brief comparison or reference to prior MoE work in MLIPs would improve context.
Simulated Author's Rebuttal
We thank the referee for their constructive feedback on our manuscript describing mlip v2. We address each of the major comments in detail below and outline the revisions we plan to make to strengthen the paper.
read point-by-point responses
-
Referee: Abstract and description of new capabilities: the assertions that the e3j backend 'significantly accelerat[es] model inference and simulations' and that eSEN enables 'scalable training on large and diverse datasets' are central to the paper's claim of advancement, yet no timing data, scaling curves, ablation studies, or comparisons to mlip v1 or competing libraries (e.g., MACE, NequIP) are provided to substantiate them.
Authors: We agree with the referee that quantitative benchmarks are essential to substantiate the performance claims. The current manuscript focuses on describing the new software features and their design rationale. In the revised manuscript, we will add timing comparisons for the e3j backend versus the previous implementation, scaling studies for the eSEN model on large datasets, and direct comparisons with other MLIP libraries such as MACE and NequIP. These additions will be included in a new section on performance evaluation. revision: yes
-
Referee: Description of improved handling of electrostatics: the claim of 'more physically grounded charge modeling and long-range interaction treatment' is load-bearing for the assertion of improved physical accuracy, but the manuscript provides neither implementation details (e.g., charge equilibration scheme or Ewald summation parameters) nor validation against ab initio electrostatic energies or forces.
Authors: We acknowledge that the manuscript would benefit from more detailed descriptions and validation for the electrostatics improvements. In the revised version, we will expand the relevant section to include specifics on the charge modeling approach, including the charge equilibration scheme and parameters for long-range interactions such as Ewald summation. Additionally, we will provide validation results comparing the modeled electrostatic energies and forces to ab initio reference data. revision: yes
Circularity Check
No significant circularity: software release note with no derivations, equations, or load-bearing predictions
full rationale
The manuscript describes new features in the mlip v2 library (API redesign, e3j backend, eSEN MoE architecture, electrostatic improvements, NPT and NEB simulation capabilities) but contains no equations, no claimed first-principles derivations, and no predictions that could reduce to fitted inputs or self-citations by construction. All statements are declarative descriptions of implemented software components rather than a derivation chain. No self-definitional loops, fitted-input-as-prediction patterns, or uniqueness theorems imported from prior author work appear. The paper is self-contained as a release announcement; external validation of performance claims is a separate correctness issue, not circularity.
Axiom & Free-Parameter Ledger
invented entities (2)
-
e3j backend
no independent evidence
-
eSEN architecture
no independent evidence
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanJ_uniquely_calibrated_via_higher_derivative unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
integrates a new high-performance backend for equivariant operations, e3j... eSEN architecture with a Mixture-of-Experts formulation... improved handling of electrostatics through more physically grounded charge modeling and long-range interaction treatment
-
IndisputableMonolith/Foundation/AlexanderDuality.leanalexander_duality_circle_linking unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
NPT ensemble simulations... nudged elastic band (NEB) methods
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
Christoph Brunken, Olivier Peltre, Heloise Chomet, Lucien Walewski, Manus McAuliffe, Valentin Heyraud, Solal Attias, Martin Maarand, Yessine Khanfir, Edan Toledo, Fabio Falcioni, Marie Bluntzer, Silvia Acosta-Gutiérrez, and Jules Tilly. Machine learning interatomic poten- tials: library for efficient training, model development and simulation of molecular...
- [2]
-
[3]
Samuel S. Schoenholz and Ekin D. Cubuk. Jax, m.d.: A framework for differentiable physics,
- [4]
-
[5]
Diversity-driven training of machine- learned force fields
Maitreyee Sharma Priyadarshini and Connor Ganley. Diversity-driven training of machine- learned force fields. InAI for Accelerated Materials Design - NeurIPS 2025, 2025. URL https://openreview.net/forum?id=WNuRO48JSn
work page 2025
-
[6]
Taoyong Cui, Zihan Wang, and Tong Wang. Enhancing non-local interaction modeling for ab initio biomolecular calculations and simulations with visnet-pima.bioRxiv, 2026. doi: 10.64898/2026.03.18.712561. URL https://www.biorxiv.org/content/early/2026/ 03/20/2026.03.18.712561
-
[7]
Xu Huang, Junwu Chen, Philippe Schwaller, and Gerbrand Ceder. Skillpuzzler: A self-evolving agentic framework for materials and chemistry research with minimal reliance on predefined tools. InNeurIPS 2025 AI for Science Workshop, 2025. URL https://openreview.net/ forum?id=Mc1JTnKQIH
work page 2025
-
[8]
Mlipaudit: A benchmarking tool for machine learned interatomic potentials, 2025
Leon Wehrhan, Lucien Walewski, Marie Bluntzer, Heloise Chomet, Jules Tilly, Christoph Brunken, and Silvia Acosta-Gutiérrez. Mlipaudit: A benchmarking tool for machine learned interatomic potentials, 2025. URLhttps://arxiv.org/abs/2511.20487
-
[9]
Saro Passaro and C. Lawrence Zitnick. Reducing so(3) convolutions to so(2) for efficient equivariant gnns. InProceedings of the 40th International Conference on Machine Learning, ICML’23. JMLR.org, 2023
work page 2023
-
[10]
Wood, Luis Barroso-Luque, Daniel S
Xiang Fu, Brandon M. Wood, Luis Barroso-Luque, Daniel S. Levine, Meng Gao, Misko Dzamba, and C. Lawrence Zitnick. Learning smooth and expressive interatomic potentials for physical property prediction, 2025. URLhttps://arxiv.org/abs/2502.12147
-
[11]
Brandon M. Wood, Misko Dzamba, Xiang Fu, Meng Gao, Muhammed Shuaibi, Luis Barroso- Luque, Kareem Abdelmaqsoud, Vahe Gharakhanyan, John R. Kitchin, Daniel S. Levine, Kyle Michel, Anuroop Sriram, Taco Cohen, Abhishek Das, Ammar Rizvi, Sushree Jagriti Sahoo, Zachary W. Ulissi, and C. Lawrence Zitnick. Uma: A family of universal models for atoms,
- [12]
-
[13]
Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E
Simon Batzner, Albert Musaelian, Lixin Sun, Mario Geiger, Jonathan P. Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E. Smidt, and Boris Kozinsky. E(3)-equivariant graph neural networks for data-efficient and accurate interatomic potentials.Nature Communications, 13(1), May 2022. ISSN 2041-1723. doi: 10.1038/s41467-022-29939-5. URL http://dx.doi.org/ ...
-
[14]
Johann Brehmer, Sönke Behrends, Pim de Haan, and Taco Cohen. Does equivariance matter at scale?, 2024. URLhttps://arxiv.org/abs/2410.23179
-
[15]
K. T. Schütt, H. E. Sauceda, P.-J. Kindermans, A. Tkatchenko, and K.-R. Müller. Schnet – a deep learning architecture for molecules and materials.The Journal of Chemical Physics, 148 (24), March 2018. ISSN 1089-7690. doi: 10.1063/1.5019779. URL http://dx.doi.org/10. 1063/1.5019779. 11
-
[16]
Schütt, Pan Kessel, Michael Gastegger, Kim A
Kristof T. Schütt, Pan Kessel, Michael Gastegger, Kim A. Nicoli, Alexandre Tkatchenko, and Klaus-Robert Müller. SchNetPack: A Deep Learning Toolbox For Atomistic Systems.Journal of Chemical Theory and Computation, 15(1):448–455, 2019. doi: 10.1021/acs.jctc.8b00908. URLhttps://doi.org/10.1021/acs.jctc.8b00908
-
[17]
Identifying anyonic topological order in fractional quantum anomalous Hall systems
Kristof T. Schütt, Stefaan S. P. Hessmann, Niklas W. A. Gebauer, Jonas Lederer, and Michael Gastegger. SchNetPack 2.0: A neural network toolbox for atomistic machine learning.The Journal of Chemical Physics, 158(14):144801, 04 2023. ISSN 0021-9606. doi: 10.1063/5. 0138367. URLhttps://doi.org/10.1063/5.0138367
work page doi:10.1063/5 2023
-
[18]
Anstine, Roman Zubatyuk, and Olexandr Isayev
Dylan M. Anstine, Roman Zubatyuk, and Olexandr Isayev. Aimnet2: a neural network potential to meet your neutral, charged, organic, and elemental-organic needs.Chemical Science,
- [20]
-
[21]
doi: 10.1103/physrevlett.120.145301
ISSN 1079-7114. doi: 10.1103/physrevlett.120.145301. URL http://dx.doi.org/ 10.1103/PhysRevLett.120.145301
-
[22]
E(n) equivariant graph neural networks, 2022
Victor Garcia Satorras, Emiel Hoogeboom, and Max Welling. E(n) equivariant graph neural networks, 2022. URLhttps://arxiv.org/abs/2102.09844
-
[23]
Directional message passing for molecular graphs
Johannes Gasteiger, Janek Groß, and Stephan Günnemann. Directional message passing for molecular graphs. InInternational Conference on Learning Representations (ICLR), 2020
work page 2020
-
[24]
Margraf, and Stephan Günnemann
Johannes Gasteiger, Shankari Giri, Johannes T. Margraf, and Stephan Günnemann. Fast and uncertainty-aware directional message passing for non-equilibrium molecules. InMachine Learning for Molecules Workshop, NeurIPS, 2020
work page 2020
-
[25]
Gemnet: Univer- sal directional graph neural networks for molecules
Johannes Gasteiger, Florian Becker, and Stephan Günnemann. Gemnet: Univer- sal directional graph neural networks for molecules. In M. Ranzato, A. Beygelz- imer, Y . Dauphin, P.S. Liang, and J. Wortman Vaughan, editors,Advances in Neu- ral Information Processing Systems, volume 34, pages 6790–6802. Curran Associates, Inc., 2021. URL https://proceedings.neu...
work page 2021
-
[26]
Gemnet: Universal directional graph neural networks for molecules, 2024
Johannes Gasteiger, Florian Becker, and Stephan Günnemann. Gemnet: Universal directional graph neural networks for molecules, 2024. URLhttps://arxiv.org/abs/2106.08903
-
[27]
Yusong Wang, Tong Wang, Shaoning Li, Xinheng He, Mingyu Li, Zun Wang, Nanning Zheng, Bin Shao, and Tie-Yan Liu. Enhancing geometric representations for molecules with equivariant vector-scalar interactive message passing.Nature Communications, 15(1), January 2024. ISSN 2041-1723. doi: 10.1038/s41467-023-43720-2. URL http://dx.doi.org/10.1038/ s41467-023-43720-2
-
[28]
Tong Wang, Xinheng He, Mingyu Li, Yatao Li, Ran Bi, Yusong Wang, Chaoran Cheng, Xiangzhen Shen, Jiawei Meng, He Zhang, Haiguang Liu, Zun Wang, Shaoning Li, Bin Shao, and Tie-Yan Liu. Ab initio characterization of protein molecular dynamics with ai2bmd.Nature, 635(8040):1019–1027, November 2024. ISSN 1476-4687. doi: 10.1038/s41586-024-08127-z. URLhttp://dx...
-
[29]
3D Steerable CNNs: Learning Rotationally Equivariant Features in Volumetric Data
Maurice Weiler, Mario Geiger, Max Welling, Wouter Boomsma, and Taco Cohen. 3d steerable cnns: Learning rotationally equivariant features in volumetric data, 2018. URL https:// arxiv.org/abs/1807.02547
work page internal anchor Pith review Pith/arXiv arXiv 2018
-
[30]
Clebsch-Gordan Nets: a Fully Fourier Space Spherical Convolutional Neural Network
Risi Kondor, Zhen Lin, and Shubhendu Trivedi. Clebsch-gordan nets: a fully fourier space spherical convolutional neural network, 2018. URL https://arxiv.org/abs/1806.09231. 12
work page internal anchor Pith review Pith/arXiv arXiv 2018
- [31]
-
[32]
Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds
Nathaniel Thomas, Tess Smidt, Steven Kearnes, Lusann Yang, Li Li, Kai Kohlhoff, and Patrick Riley. Tensor field networks: Rotation- and translation-equivariant neural networks for 3d point clouds, 2018. URLhttps://arxiv.org/abs/1802.08219
work page internal anchor Pith review Pith/arXiv arXiv 2018
- [33]
-
[34]
Dávid Péter Kovács, J. Harry Moore, Nicholas J. Browning, Ilyes Batatia, Joshua T. Horton, Yixuan Pu, Venkat Kapil, William C. Witt, Ioan-Bogdan Magd˘au, Daniel J. Cole, and Gábor Csányi. Mace-off: Short-range transferable machine learning force fields for organic molecules. Journal of the American Chemical Society, May 2025. ISSN 1520-5126. doi: 10.1021/...
-
[35]
Ilyes Batatia, Philipp Benner, Yuan Chiang, Alin M. Elena, Dávid P. Kovács, Janosh Riebesell, Xavier R. Advincula, Mark Asta, Matthew Avaylon, William J. Baldwin, Fabian Berger, Noam Bernstein, Arghya Bhowmik, Samuel M. Blau, Vlad C ˘arare, James P. Darby, Sandip De, Flaviano Della Pia, V olker L. Deringer, Rokas Elijošius, Zakariya El-Machachi, Fabio Fal...
-
[36]
URLhttps://arxiv.org/abs/2401.00096
work page internal anchor Pith review Pith/arXiv arXiv
-
[37]
Dávid Péter Kovács, Ilyes Batatia, Eszter Sára Arany, and Gábor Csányi. Evaluation of the mace force field architecture: From medicinal chemistry to materials science.The Journal of Chemical Physics, 159(4), July 2023. ISSN 1089-7690. doi: 10.1063/5.0155322. URL http://dx.doi.org/10.1063/5.0155322
-
[38]
Baldwin, Domantas Kuryla, Joseph Hart, Elliott Kasoar, Alin M
Ilyes Batatia, William J. Baldwin, Domantas Kuryla, Joseph Hart, Elliott Kasoar, Alin M. Elena, Harry Moore, Mikołaj J. Gawkowski, Benjamin X. Shi, Venkat Kapil, Panagiotis Kourtis, Ioan-Bogdan Magd˘au, and Gábor Csányi. Mace-polar-1: A polarisable electrostatic foundation model for molecular chemistry, 2026. URLhttps://arxiv.org/abs/2602.19411
-
[39]
Shengjie Luo, Tianlang Chen, and Aditi S. Krishnapriyan. Enabling efficient equivariant operations in the fourier basis via gaunt tensor products, 2024. URL https://arxiv.org/ abs/2401.10216
-
[40]
The price of freedom: Exploring expressivity and runtime tradeoffs in equivariant tensor products
YuQing Xie, Ameya Daigavane, Mit Kotak, and Tess Smidt. The price of freedom: Exploring expressivity and runtime tradeoffs in equivariant tensor products. InForty-second Interna- tional Conference on Machine Learning, 2025. URL https://openreview.net/forum? id=EvIwwGYTLc
work page 2025
-
[41]
Asymptotically fast clebsch-gordan tensor products with vector spherical harmonics, 2026
YuQing Xie, Ameya Daigavane, Mit Kotak, and Tess Smidt. Asymptotically fast clebsch-gordan tensor products with vector spherical harmonics, 2026. URLhttps://arxiv.org/abs/2602. 21466. 13
work page 2026
-
[42]
Integral formulas for vector spherical tensor products, 2026
Valentin Heyraud, Zachary Weller-Davies, and Jules Tilly. Integral formulas for vector spherical tensor products, 2026. URLhttps://arxiv.org/abs/2603.08630
-
[43]
Equiformer: Equivariant graph attention transformer for 3d atomistic graphs
Yi-Lun Liao and Tess Smidt. Equiformer: Equivariant graph attention transformer for 3d atomistic graphs. InThe Eleventh International Conference on Learning Representations, 2023. URLhttps://openreview.net/forum?id=KwmPfARgOTD
work page 2023
-
[44]
Equiformerv2: Improved equivariant transformer for scaling to higher-degree representations
Yi-Lun Liao, Brandon M Wood, Abhishek Das, and Tess Smidt. Equiformerv2: Improved equivariant transformer for scaling to higher-degree representations. InThe Twelfth International Conference on Learning Representations, 2024. URL https://openreview.net/forum? id=mCOBKZmrzD
work page 2024
-
[45]
E2former: An efficient and equivariant transformer with linear-scaling tensor products
Yunyang Li, Lin Huang, Zhihao Ding, Xinran Wei, Chu Wang, Han Yang, Zun Wang, Chang Liu, Yu Shi, Peiran Jin, Tao Qin, Mark Gerstein, and Jia Zhang. E2former: An efficient and equivariant transformer with linear-scaling tensor products. InThe Thirty-ninth Annual Conference on Neural Information Processing Systems, 2026. URL https://openreview. net/forum?id...
work page 2026
-
[46]
E2former-v2: On-the-fly equivariant attention with linear activation memory, 2026
Lin Huang, Chengxiang Huang, Ziang Wang, Yiyue Du, Chu Wang, Haocheng Lu, Yunyang Li, Xiaoli Liu, Arthur Jiang, and Jia Zhang. E2former-v2: On-the-fly equivariant attention with linear activation memory, 2026. URLhttps://arxiv.org/abs/2601.16622
-
[47]
Eric Qu, Brandon M. Wood, Aditi S. Krishnapriyan, and Zachary W. Ulissi. A recipe for scalable attention-based mlips: unlocking long-range accuracy with all-to-all node attention,
- [48]
-
[49]
Elhag, Arun Raja, Alex Morehead, Samuel M
Ahmed A. Elhag, Arun Raja, Alex Morehead, Samuel M. Blau, Hongtao Zhao, Christian Tyrchan, Eva Nittinger, Garrett M. Morris, and Michael M. Bronstein. Learning inter-atomic potentials without explicit equivariance, 2026. URL https://arxiv.org/abs/2510.00027
-
[50]
Jraph: A library for graph neural networks in jax., 2020
Jonathan Godwin, Thomas Keck, Peter Battaglia, Victor Bapst, Thomas Kipf, Yujia Li, Kimberly Stachenfeld, Petar Veliˇckovi´c, and Alvaro Sanchez-Gonzalez. Jraph: A library for graph neural networks in jax., 2020. URLhttp://github.com/deepmind/jraph
work page 2020
-
[51]
Oliver T. Unke and Markus Meuwly. Physnet: A neural network for predicting energies, forces, dipole moments and partial charges.Journal of Chemical Theory and Computation, 15(6): 3678–3693, 2019. doi: 10.1021/acs.jctc.9b00181
-
[52]
Machine learning of force fields towards molecular dynamics simulations of proteins at DFT accuracy
Christoph Brunken, Sebastien Boyer, Mustafa Omar, Bakary N’tji Diallo, Karim Beguir, Nico- las Lopez Carranza, and Oliver Bent. Machine learning of force fields towards molecular dynamics simulations of proteins at DFT accuracy. InICLR 2024 Workshop on Geometry- grounded Graph Machine Learning (GEM), 2024. URL https://openreview.net/forum? id=3YjclODCyq
work page 2024
-
[53]
Dylan Anstine, Roman Zubatyuk, and Olexandr Isayev. Aimnet2: a neural network potential to meet your neutral, charged, organic, and elemental-organic needs.Chemical Science, 16:10228,
-
[54]
doi: 10.1039/D4SC08572H
-
[55]
A new approach to variable metric algorithms.The Computer Journal, 13(3): 317–322, 1970
Roger Fletcher. A new approach to variable metric algorithms.The Computer Journal, 13(3): 317–322, 1970
work page 1970
-
[56]
Donald Goldfarb. A family of variable metric updates derived by variational means.Mathematics of Computation, 24(109):23–26, 1970
work page 1970
-
[57]
David F Shanno. Conditioning of quasi-newton methods for function minimization.Mathemat- ics of Computation, 24(111):647–656, 1970
work page 1970
-
[58]
Graeme Henkelman and Hannes Jónsson. A dimer method for finding saddle points on high dimensional potential surfaces using only first derivatives.The Journal of Chemical Physics, 111(15):7010–7022, 1999. doi: 10.1063/1.480097. 14
-
[59]
Austin Rodriguez, Justin S Smith, and Jose L Mendoza-Cortes. Does hessian data improve the performance of machine learning potentials?Journal of Chemical Theory and Computation, 21 (14):6698–6710, 2025
work page 2025
-
[60]
Austin Rodriguez, Justin S Smith, Sakib Matin, Nicholas Lubbers, Kipton Barros, and Jose L Mendoza-Cortes. Projected hessian learning: Fast curvature supervision for accurate machine- learning interatomic potentials.arXiv preprint arXiv:2603.04523, 2026
-
[61]
Shoot from the hip: Hessian interatomic potentials without derivatives, 2025
Andreas Burger, Luca Thiede, Nikolaj Rønne, Varinia Bernales, Nandita Vijaykumar, Tejs Vegge, Arghya Bhowmik, and Alán Aspuru-Guzik. Shoot from the hip: Hessian interatomic potentials without derivatives, 2025. URLhttps://arxiv.org/abs/2509.21624
-
[62]
Ishan Amin, Sanjeev Raja, and Aditi Krishnapriyan. Towards fast, specialized machine learning force fields: Distilling foundation models via energy hessians. arxiv 2025, doi: 10.48550.arXiv preprint arXiv.2501.09009, 2025
-
[63]
Elena, Sam Walton Norwood, Thomas Wolf, and Gábor Csányi
Ilyes Batatia, Chen Lin, Joseph Hart, Elliott Kasoar, Alin M. Elena, Sam Walton Norwood, Thomas Wolf, and Gábor Csányi. Cross learning between electronic structure theories for unifying molecular, surface, and inorganic crystal foundation force fields, 10 2025. URL https://arxiv.org/pdf/2510.25380
-
[64]
Graeme Henkelman and Hannes Jónsson. Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points.The Journal of Chemical Physics, 113(22):9978–9985, 12 2000. ISSN 0021-9606. doi: 10.1063/1.1323224. URL https://doi.org/10.1063/1.1323224
-
[65]
Graeme Henkelman, Blas P. Uberuaga, and Hannes Jónsson. A climbing image nudged elastic band method for finding saddle points and minimum energy paths.The Journal of Chemical Physics, 113(22):9901–9904, 12 2000. ISSN 0021-9606. doi: 10.1063/1.1329672. URL https://doi.org/10.1063/1.1329672
-
[66]
Søren Smidstrup, Andreas Pedersen, Kurt Stokbro, and Hannes Jónsson. Improved initial guess for minimum energy path calculations.The Journal of Chemical Physics, 140(21):214106, 06 2014. ISSN 0021-9606. doi: 10.1063/1.4878664. URL https://doi.org/10.1063/1. 4878664
- [67]
-
[68]
doi: https://doi.org/10.1016/0010-4655(95)00059-O
ISSN 0010-4655. doi: https://doi.org/10.1016/0010-4655(95)00059-O. URL https: //www.sciencedirect.com/science/article/pii/001046559500059O
-
[69]
Johan Åqvist, Petra Wennerström, Martin Nervall, Sinisa Bjelic, and Bjørn O. Brandsdal. Molecular dynamics simulations of water and biomolecules with a monte carlo constant pressure algorithm.Chemical Physics Letters, 384(4):288–294, 2004. ISSN 0009-2614. doi: https: //doi.org/10.1016/j.cplett.2003.12.039. URL https://www.sciencedirect.com/science/ articl...
-
[70]
GabrieleCorso,HannesStärk,BowenJing,ReginaBarzilay,andTommiJaakkola
Peter Eastman, Jason Swails, John D. Chodera, Robert T. McGibbon, Yutong Zhao, Kyle A. Beauchamp, Lee-Ping Wang, Andrew C. Simmonett, Matthew P. Harrigan, Chaya D. Stern, Rafal P. Wiewiora, Bernard R. Brooks, and Vijay S. Pande. Openmm 7: Rapid development of high performance algorithms for molecular dynamics.PLOS Computational Biology, 13 (7):1–17, 07 20...
-
[71]
H. J. C. Berendsen, J. P. M. Postma, W. F. van Gunsteren, A. DiNola, and J. R. Haak. Molecular dynamics with coupling to an external bath.The Journal of Chemical Physics, 81(8):3684–3690,
-
[72]
doi: 10.1063/1.448118. 15
-
[73]
M. Parrinello and A. Rahman. Polymorphic transitions in single crystals: A new molecular dynamics method.Journal of Applied Physics, 52(12):7182–7190, 1981. doi: 10.1063/1.328693
-
[74]
Jiaming Liang, Siddharth Mitra, and Andre Wibisono. Characterizing dependence of samples along the langevin dynamics and algorithms via contraction of ϕ-mutual information. In Proceedings of Thirty Eighth Conference on Learning Theory, volume 291 ofProceedings of Machine Learning Research, pages 3730–3731. PMLR, 30 Jun–04 Jul 2025. URL https: //proceeding...
work page 2025
-
[75]
Levine, Muhammed Shuaibi, Evan Walter Clark Spotte-Smith, Michael G
Daniel S. Levine, Muhammed Shuaibi, Evan Walter Clark Spotte-Smith, Michael G. Taylor, Muhammad R. Hasyim, Kyle Michel, Ilyes Batatia, Gábor Csányi, Misko Dzamba, Peter Eastman, Nathan C. Frey, Xiang Fu, Vahe Gharakhanyan, Aditi S. Krishnapriyan, Joshua A. Rackers, Sanjeev Raja, Ammar Rizvi, Andrew S. Rosen, Zachary Ulissi, Santiago Vargas, C. Lawrence Zi...
work page 2025
-
[76]
Yi-Lun Liao, Alexander J. Hoffman, Sabrina C. Shen, Alexandre Duval, Sam Walton Norwood, and Tess Smidt. Equiformerv3: Scaling efficient, expressive, and general se(3)-equivariant graph attention transformers, 2026. URLhttps://arxiv.org/abs/2604.09130
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[77]
Dotson, Raimondas Galvelis, John E
Peter Eastman, Pavan Kumar Behara, David L. Dotson, Raimondas Galvelis, John E. Herr, Josh T. Horton, Yuezhi Mao, John D. Chodera, Benjamin P. Pritchard, Yuanqing Wang, Gianni De Fabritiis, and Thomas E. Markland. Spice, a dataset of drug-like molecules and peptides for training machine learning potentials.Scientific Data, 10, January 2023. doi: 10.1038/ ...
-
[78]
Mathias Schreiner, Arghya Bhowmik, Tejs Vegge, Jonas Busk, and Ole Winther. Transition1x - a dataset for building generalizable reactive machine learning potentials.Scientific Data, 9(1), December 2022. ISSN 2052-4463. doi: 10.1038/s41597-022-01870-w. URL http: //dx.doi.org/10.1038/s41597-022-01870-w
-
[79]
Qiyuan Zhao, Sai Mahit Vaddadi, Michael Woulfe, Lawal A. Ogunfowora, Sanjay S. Garimella, Olexandr Isayev, and Brett M. Savoie. Comprehensive exploration of graphically defined reaction spaces.Scientific Data, 10(1), March 2023. ISSN 2052-4463. doi: 10.1038/ s41597-023-02043-z. URLhttp://dx.doi.org/10.1038/s41597-023-02043-z
-
[80]
Qiming Sun, Timothy C Berkelbach, Nick S Blunt, George H Booth, Sheng Guo, Zhendong Li, Junzi Liu, James D McClain, Elvira R Sayfutyarova, Sandeep Sharma, et al. Pyscf: the python- based simulations of chemistry framework.Wiley Interdisciplinary Reviews: Computational Molecular Science, 8(1):e1340, 2018
work page 2018
-
[81]
Xiang Gao, Farhad Ramezanghorbani, Olexandr Isayev, Justin S Smith, and Adrian E Roitberg. Torchani: a free and open source pytorch-based deep learning implementation of the ani neural network potentials.Journal of chemical information and modeling, 60(7):3408–3415, 2020
work page 2020
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.