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Neural operators have emerged as powerful deep learning frameworks for approximating solution operators of parameterized partial differential equations (PDE). However, current methods predominantly rely on multilayer perceptrons (MLPs) for…

Fluid Dynamics · Physics 2026-02-03 Biao Chen , Jing Wang , Hairun Xie , Qineng Wang , Shuai Zhang , Yifan Xia , Jifa Zhang

Neural operators have emerged as powerful surrogates for partial differential equation (PDE) solvers, yet they are typically trained as monolithic models for individual PDEs, require energy-intensive GPU hardware, and must be retrained from…

Machine Learning · Computer Science 2026-04-14 Samrendra Roy , Souvik Chakraborty , Rizwan-uddin , Syed Bahauddin Alam

Quantum error correction is necessary to perform large-scale quantum computations in the presence of noise and decoherence. As a result, several aspects of quantum error correction have already been explored. These have been primarily…

Quantum Physics · Physics 2021-08-05 Ariel Shlosberg , Anthony M. Polloreno , Graeme Smith

Probing correlated states of many-body systems is one of the central tasks for quantum simulators and processors. A promising approach to state preparation is to realize desired correlated states as steady states of engineered dissipative…

Quantum Physics · Physics 2025-02-05 Jerome Lloyd , Alexios Michailidis , Xiao Mi , Vadim Smelyanskiy , Dmitry A. Abanin

This paper presents the Battery Modelling Toolbox (BattMo), a flexible finite volume continuum modelling framework in MATLAB\textsuperscript{\textregistered} (\citeproc{ref-MATLAB}{The MathWorks Inc., 2025}) for simulating the performance…

For 35 years, {\it ab initio} molecular dynamics (AIMD) has been the method of choice for modeling complex atomistic phenomena from first principles. However, most AIMD applications are limited by computational cost to systems with…

Computational Physics · Physics 2020-09-15 Weile Jia , Han Wang , Mohan Chen , Denghui Lu , Lin Lin , Roberto Car , Weinan E , Linfeng Zhang

Neural networks have emerged as powerful surrogates for solving partial differential equations (PDEs), offering significant computational speedups over traditional methods. However, these models suffer from a critical limitation: error…

Machine Learning · Computer Science 2025-12-29 Xinquan Huang , Paris Perdikaris

A method is developed for generating pseudopotentials for use in correlated-electron calculations. The paradigms of shape and energy consistency are combined and defined in terms of correlated-electron wave-functions. The resulting energy…

Materials Science · Physics 2017-05-26 John R. Trail , Richard J. Needs

The simulation of chemistry is among the most promising applications of quantum computing. However, most prior work exploring algorithms for block-encoding, time-evolving, and sampling in the eigenbasis of electronic structure Hamiltonians…

Deep learning models are used to minimize the number of polyps that goes unnoticed by the experts and to accurately segment the detected polyps during interventions. Although state-of-the-art models are proposed, it remains a challenge to…

Image and Video Processing · Electrical Eng. & Systems 2023-03-21 Tugberk Erol , Duygu Sarikaya

The central approximation made in classical molecular dynamics simulation of materials is the interatomic potential used to calculate the forces on the atoms. Great effort and ingenuity is required to construct viable functional forms and…

Computational Physics · Physics 2019-06-26 Mitchell A. Wood , Mary Alice Cusentino , Brian D. Wirth , Aidan P. Thompson

We introduce QDsim, a python package tailored for the rapid generation of charge stability diagrams in large-scale quantum dot devices, extending beyond traditional double or triple dots. QDsim is founded on the constant interaction model…

Mesoscale and Nanoscale Physics · Physics 2025-01-29 Valentina Gualtieri , Charles Renshaw-Whitman , Vinicius Hernandes , Eliska Greplova

With the aim of establishing a framework to efficiently perform the practical application of quantum chemistry simulation on near-term quantum devices, we envision a hybrid quantum--classical framework for leveraging problem decomposition…

New generations of power systems, containing high shares of renewable energy resources, require improved data-driven tools which can swiftly adapt to changes in system operation. Many of these tools, such as ones using machine learning,…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Ignasi Ventura Nadal , Samuel Chevalier

Neural network potentials (NNPs) enable large-scale molecular dynamics (MD) simulations of systems containing >10,000 atoms with the accuracy comparable to ab initio methods and play a crucial role in material studies. Although NNPs are…

Quantum computers have the potential to advance material design and drug discovery by performing costly electronic structure calculations. A critical aspect of this application requires optimizing the limited resources of the quantum…

The paper investigates the computational problem of predicting RNA secondary structures. The general belief is that allowing pseudoknots makes the problem hard. Existing polynomial-time algorithms are heuristic algorithms with no…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Samuel Ieong , Ming-Yang Kao , Tak-Wah Lam , Wing-Kin Sung , Siu-Ming Yiu

Large language models (LLMs) have shown promise in proving formal theorems using proof assistants such as Lean. However, existing methods are difficult to reproduce or build on, due to private code, data, and large compute requirements.…

Machine Learning · Computer Science 2023-10-30 Kaiyu Yang , Aidan M. Swope , Alex Gu , Rahul Chalamala , Peiyang Song , Shixing Yu , Saad Godil , Ryan Prenger , Anima Anandkumar

The proposed Long Baseline Neutrino Observatory (LBNO) initially consists of $\sim 20$ kton liquid double phase TPC complemented by a magnetised iron calorimeter, to be installed at the Pyh\"asalmi mine, at a distance of 2300 km from CERN.…

High Energy Physics - Phenomenology · Physics 2014-12-03 LBNO Collaboration , S. K. Agarwalla , L. Agostino , M. Aittola , A. Alekou , B. Andrieu , F. Antoniou , R. Asfandiyarov , D. Autiero , O. Bésida , A. Balik , P. Ballett , I. Bandac , D. Banerjee , W. Bartmann , F. Bay , B. Biskup , A. M. Blebea-Apostu , A. Blondel , M. Bogomilov , S. Bolognesi , E. Borriello , I. Brancus , A. Bravar , M. Buizza-Avanzini , D. Caiulo , M. Calin , M. Calviani , M. Campanelli , C. Cantini , G. Cata-Danil , S. Chakraborty , N. Charitonidis , L. Chaussard , D. Chesneanu , F. Chipesiu , P. Crivelli , J. Dawson , I. De Bonis , Y. Declais , P. Del Amo Sanchez , A. Delbart , S. Di Luise , D. Duchesneau , J. Dumarchez , I. Efthymiopoulos , A. Eliseev , S. Emery , T. Enqvist , K. Enqvist , L. Epprecht , A. N. Erykalov , T. Esanu , D. Franco , M. Friend , V. Galymov , G. Gavrilov , A. Gendotti , C. Giganti , S. Gilardoni , B. Goddard , C. M. Gomoiu , Y. A. Gornushkin , P. Gorodetzky , A. Haesler , T. Hasegawa , S. Horikawa , K. Huitu , A. Izmaylov , A. Jipa , K. Kainulainen , Y. Karadzhov , M. Khabibullin , A. Khotjantsev , A. N. Kopylov , A. Korzenev , S. Kosyanenko , D. Kryn , Y. Kudenko , P. Kuusiniemi , I. Lazanu , C. Lazaridis , J. -M. Levy , K. Loo , J. Maalampi , R. M. Margineanu , J. Marteau , C. Martin-Mari , V. Matveev , E. Mazzucato , A. Mefodiev , O. Mineev , A. Mirizzi , B. Mitrica , S. Murphy , T. Nakadaira , S. Narita , D. A. Nesterenko , K. Nguyen , K. Nikolics , E. Noah , Yu. Novikov , A. Oprima , J. Osborne , T. Ovsyannikova , Y. Papaphilippou , S. Pascoli , T. Patzak , M. Pectu , E. Pennacchio , L. Periale , H. Pessard , B. Popov , M. Ravonel , M. Rayner , F. Resnati , O. Ristea , A. Robert , A. Rubbia , K. Rummukainen , A. Saftoiu , K. Sakashita , F. Sanchez-Galan , J. Sarkamo , N. Saviano , E. Scantamburlo , F. Sergiampietri , D. Sgalaberna , E. Shaposhnikova , M. Slupecki , D. Smargianaki , D. Stanca , R. Steerenberg , A. R. Sterian , P. Sterian , S. Stoica , C. Strabel , J. Suhonen , V. Suvorov , G. Toma , A. Tonazzo , W. H. Trzaska , R. Tsenov , K. Tuominen , M. Valram , G. Vankova-Kirilova , F. Vannucci , G. Vasseur , F. Velotti , P. Velten , V. Venturi , T. Viant , S. Vihonen , H. Vincke , A. Vorobyev , A. Weber , S. Wu , N. Yershov , L. Zambelli , M. Zito

Current approaches to fault-tolerant quantum computation will not enable useful quantum computation on near-term devices of 50 to 100 qubits. Leading proposals, such as the color code and surface code schemes, must devote a large fraction…

Quantum Physics · Physics 2017-11-08 Peter D. Johnson , Jonathan Romero , Jonathan Olson , Yudong Cao , Alán Aspuru-Guzik