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Large-scale atomistic simulations rely on interatomic potentials providing an efficient representation of atomic energies and forces. Modern machine-learning (ML) potentials provide the most precise representation compared to electronic…

Computational Physics · Physics 2025-04-23 David Immel , Ralf Drautz , Godehard Sutmann

We investigate quantum algorithms derived from tensor networks to simulate the static and dynamic properties of quantum many-body systems. Using a sequentially prepared quantum circuit representation of a matrix product state (MPS) that we…

Quantum Physics · Physics 2024-12-04 Michael L. Wall , Aidan Reilly , John S. Van Dyke , Collin Broholm , Paraj Titum

Machine learning (ML) is successful in achieving human-level performance in various fields. However, it lacks the ability to explain an outcome due to its black-box nature. While existing explainable ML is promising, almost all of these…

Machine Learning · Computer Science 2021-03-23 Zhixin Pan , Prabhat Mishra

Recently, multi-layer perceptrons (MLPs) widely used in modern AI applications suffer from limited real-time performance due to intensive memory access overhead. Kolmogorov--Arnold Networks (KANs) have attracted increasing attention as an…

Hardware Architecture · Computer Science 2026-03-03 Wenhui Ou , Zhuoyu Wu , Yipu Zhang , Zheng Wang , C. Patrick Yue

We present the magnetic Moment Tensor Potentials (mMTPs), a class of machine-learning interatomic potentials, accurately reproducing both vibrational and magnetic degrees of freedom as provided, e.g., from first-principles calculations. The…

Atomic Physics · Physics 2021-12-13 Ivan Novikov , Blazej Grabowski , Fritz Kormann , Alexander Shapeev

Towards the efficient simulation of near-term quantum devices using tensor network states, we introduce an improved real-space parallelizable matrix-product state (MPS) compression method. This method enables efficient compression of all…

Quantum Physics · Physics 2024-09-02 Rong-Yang Sun , Tomonori Shirakawa , Seiji Yunoki

The subject of this paper is the technology (the "how") of constructing machine-learning interatomic potentials, rather than science (the "what" and "why") of atomistic simulations using machine-learning potentials. Namely, we illustrate…

Computational Physics · Physics 2020-07-20 Ivan S. Novikov , Konstantin Gubaev , Evgeny V. Podryabinkin , Alexander V. Shapeev

Tensor decomposition has become an essential tool in many applications in various domains, including machine learning. Sparse Matricized Tensor Times Khatri-Rao Product (MTTKRP) is one of the most computationally expensive kernels in tensor…

Hardware Architecture · Computer Science 2021-09-21 Sasindu Wijeratne , Rajgopal Kannan , Viktor Prasanna

The matricized-tensor times Khatri-Rao product (MTTKRP) is the computational bottleneck for algorithms computing CP decompositions of tensors. In this paper, we develop shared-memory parallel algorithms for MTTKRP involving dense tensors.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-31 Koby Hayashi , Grey Ballard , Jeffrey Jiang , Michael Tobia

With the widespread adoption of Large Language Models (LLMs), the demand for high-performance LLM inference services continues to grow. To meet this demand, a growing number of AI accelerators have been proposed, such as Google TPU, Huawei…

Hardware Architecture · Computer Science 2025-10-08 Tianhao Zhu , Dahu Feng , Erhu Feng , Yubin Xia

Multi-token prediction (MTP) is a prominent strategy to significantly speed up generation in large language models (LLMs), including byte-level LLMs, which are tokeniser-free but prohibitively slow. However, existing MTP methods often…

Tensor decomposition has become an essential tool in many data science applications. Sparse Matricized Tensor Times Khatri-Rao Product (MTTKRP) is the pivotal kernel in tensor decomposition algorithms that decompose higher-order real-world…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-19 Sasindu Wijeratne , Ta-Yang Wang , Rajgopal Kannan , Viktor Prasanna

Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapted recently for solving the Navier-Stokes equations, which…

The design of efficient electrolysis devices for pure metal production requires accurate data on the properties of the melts used in the process. This work focuses on two key systems for calcium production: the molten Ca-Cu alloy and the…

Materials Science · Physics 2026-03-27 M. Polovinkin , N. Rybin , D. Maksimov , F. Valiev , A. Khudorozhkova , M. Laptev , A. Rudenko , A. Shapeev

The Kernel Polynomial Method (KPM) is one of the fast diagonalization methods used for simulations of quantum systems in research fields of condensed matter physics and chemistry. The algorithm has a difficulty to be parallelized on a…

Computational Physics · Physics 2011-05-30 Shixun Zhang , Shinichi Yamagiwa , Masahiko Okumura , Seiji Yunoki

The need to use a short time step is a key limit on the speed of molecular dynamics (MD) simulations. Simulations governed by classical potentials are often accelerated by using a multiple-time-step (MTS) integrator that evaluates certain…

Chemical Physics · Physics 2023-10-24 Xiang Fu , Albert Musaelian , Anders Johansson , Tommi Jaakkola , Boris Kozinsky

Programming for a diverse set of compute accelerators in addition to the CPU is a challenge. Maintaining separate source code for each architecture would require lots of effort, and development of new algorithms would be daunting if it had…

Computational Physics · Physics 2021-04-15 Taylor Childers , Matti J. Kortelainen , Martin Kwok , Alexei Strelchenko , Yunsong Wang

Recent works have proven the effectiveness of k-nearest-neighbor machine translation(a.k.a kNN-MT) approaches to produce remarkable improvement in cross-domain translations. However, these models suffer from heavy retrieve overhead on the…

Computation and Language · Computer Science 2025-01-07 Xiangyu Shi , Yunlong Liang , Jinan Xu , Yufeng Chen

General-purpose processor vendors have integrated customized accelerator in their products due to the widespread use of General Matrix-Matrix Multiplication (GEMM) kernels. However, it remains a challenge to further improve the…

Hardware Architecture · Computer Science 2024-05-01 Bingcai Sui , Junzhong Shen , Caixia Sun , Junhui Wang , Zhong Zheng , Wei Guo

Quantum computer simulators are an indispensable tool for prototyping quantum algorithms and verifying the functioning of existing quantum computer hardware. The current largest quantum computers feature more than one thousand qubits,…

Quantum Physics · Physics 2025-01-28 Gabin Schieffer , Stefano Markidis , Ivy Peng