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Recent studies have attempted to refine the Transformer architecture to demonstrate its effectiveness in Long-Term Time Series Forecasting (LTSF) tasks. Despite surpassing many linear forecasting models with ever-improving performance, we…

机器学习 · 计算机科学 2024-12-30 Peiwang Tang , Weitai Zhang

We propose a new, nonparametric approach to learning and representing transition dynamics in Markov decision processes (MDPs), which can be combined easily with dynamic programming methods for policy optimisation and value estimation. This…

机器学习 · 计算机科学 2012-06-22 Steffen Grunewalder , Guy Lever , Luca Baldassarre , Massi Pontil , Arthur Gretton

We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of multimodal spherical inclusions modeling the morphology of heterogeneous solid propellants (HSP).…

材料科学 · 物理学 2012-09-21 V. A. Buryachenko

The lecture notes on "Many-body Quantum Dynamics with MCTDH-X," adapted from the 2023 Heidelberg MCTDH Summer School, provide an in-depth exploration of the Multiconfigurational Time-Dependent Hartree approach for indistinguishable…

量子物理 · 物理学 2025-04-01 Paolo Molignini , Sunayana Dutta , Elke Fasshauer

Microscopic methods and tools to describe nuclear dynamics have considerably been improved in the past few years. They are based on the time-dependent Hartree-Fock (TDHF) theory and its extensions to include pairing correlations and quantum…

核理论 · 物理学 2018-09-13 C. Simenel , A. S. Umar

Future projection of climate is typically obtained by combining outputs from multiple Earth System Models (ESMs) for several climate variables such as temperature and precipitation. While IPCC has traditionally used a simple model output…

机器学习 · 计算机科学 2017-02-01 André R. Gonçalves , Arindam Banerjee , Fernando J. Von Zuben

In spite of the great potential of large language models (LLMs) across various tasks, their deployment on resource-constrained devices remains challenging due to their excessive computational and memory demands. Quantization has emerged as…

机器学习 · 计算机科学 2025-02-28 Hao Mark Chen , Fuwen Tan , Alexandros Kouris , Royson Lee , Hongxiang Fan , Stylianos I. Venieris

This paper proposes a novel low-rank approximation to the multivariate State-Space Model. The Stochastic Partial Differential Equation (SPDE) approach is applied component-wise to the independent-in-time Mat\'ern Gaussian innovation term in…

统计方法学 · 统计学 2025-09-17 Jacopo Rodeschini , Lorenzo Tedesco , Francesco Finazzi , Philipp Otto , Alessandro Fassò

Accurate forecasting of multivariate time series data remains a formidable challenge, particularly due to the growing complexity of temporal dependencies in real-world scenarios. While neural network-based models have achieved notable…

机器学习 · 计算机科学 2025-12-09 Andrey Savchenko , Oleg Kachan

Lattice Boltzmann Methods (LBM) stand out for their simplicity and computational efficiency while offering the possibility of simulating complex phenomena. While they are optimal for Cartesian meshes, adapted meshes have traditionally been…

数值分析 · 数学 2022-02-28 Loïc Gouarin , Benjamin Graille , Marc Massot , Thomas Bellotti

Multi-Resolution Hash Encoding (MHE), the foundational technique behind Instant Neural Graphics Primitives, provides a powerful parameterization for neural fields. However, its spatial behavior lacks rigorous understanding from a physical…

计算机视觉与模式识别 · 计算机科学 2026-02-12 Tianxiang Dai , Jonathan Fan

Large scale Density Functional Theory (DFT) based electronic structure calculations are highly time consuming and scale poorly with system size. While semi-empirical approximations to DFT result in a reduction in computational time versus…

材料科学 · 物理学 2016-12-21 Ganesh Hegde , R. Chris Bowen

Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations of the lowest-lying $J^P=1/2^-$…

高能物理 - 格点 · 物理学 2016-03-01 Zhan-Wei Liu , Waseem Kamleh , Derek B. Leinweber , Finn M. Stokes , Anthony W. Thomas , Jia-Jun Wu

Multi-agent path finding (MAPF) involves planning efficient paths for multiple agents to move simultaneously while avoiding collisions. In typical warehouse environments, agents are often sparsely distributed along aisles; however,…

多智能体系统 · 计算机科学 2025-11-27 Hiroya Makino , Seigo Ito

Multidimensional fitting (MDF) method is a multivariate data analysis method recently developed and based on the fitting of distances. Two matrices are available: one contains the coordinates of the points and the second contains the…

To date, density functional theory (DFT) is one of the most accurate and yet practical theory to gain insight about materials properties. Although successful, the computational cost is the main hurdle even today. A way out is combining DFT…

材料科学 · 物理学 2019-04-19 Shweta Mehta , Sheena Agarwal , Kavita Joshi

Multibody dynamics simulation plays an important role in various fields, including mechanical engineering, robotics, and biomechanics. Setting up computational models however becomes increasingly challenging as systems grow in size and…

系统与控制 · 电气工程与系统科学 2024-02-29 Markus Lohmayer , Giuseppe Capobianco , Sigrid Leyendecker

We created a computational workflow to analyze the potential energy surface (PES) of materials using machine-learned interatomic potentials in conjunction with the minima hopping algorithm. We demonstrate this method by producing a…

材料科学 · 物理学 2025-02-14 Hossein Tahmasbi , Kushal Ramakrishna , Mani Lokamani , Attila Cangi

Spectroscopic properties of molecules holds great importance for the description of the molecular response under the effect of an UV/Vis electromagnetic radiation. Computationally expensive ab initio (e.g. MultiConfigurational SCF, Coupled…

By combining the continuous matrix product state (cMPS) representation for quantum fields in the continuum with standard optimization techniques for matrix product states (MPS) on the lattice, we obtain an approximation $|\Psi\rangle$,…

量子气体 · 物理学 2018-11-14 Martin Ganahl , Guifre Vidal