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The infinite Density Matrix Renormalisation Group (iDMRG) algorithm is a highly successful numerical algorithm for the study of low-dimensional quantum systems, and is also frequently used to initialise the more popular finite DMRG…

Strongly Correlated Electrons · Physics 2015-12-02 Robert N. C. Pfeifer

This paper gives a new deterministic algorithm for the dynamic Minimum Spanning Forest (MSF) problem in the EREW PRAM model, where the goal is to maintain a MSF of a weighted graph with $n$ vertices and $m$ edges while supporting edge…

Data Structures and Algorithms · Computer Science 2018-05-17 Tsvi Kopelowitz , Ely Porat , Yair Rosenmutter

In this paper we propose the first better than second order accurate method in space and time for the numerical solution of the resistive relativistic magnetohydrodynamics (RRMHD) equations on unstructured meshes in multiple space…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Michael Dumbser , Olindo Zanotti

In this work, we propose a fully coupled multiscale strategy for components made from short fiber reinforced composites, where each Gauss point of the macroscopic finite element model is equipped with a deep material network (DMN) which…

Computational Engineering, Finance, and Science · Computer Science 2021-09-24 Sebastian Gajek , Matti Schneider , Thomas Böhlke

We use CheMPS2, our free open-source spin-adapted implementation of the density matrix renormalization group (DMRG) [Wouters et al., Comput. Phys. Commun. 185, 1501 (2014)], to study the lowest singlet, triplet, and quintet states of the…

Autonomous mobile robots (AMRs), used for search-and-rescue and remote exploration, require fast and robust planning and control schemes. Sampling-based approaches for Model Predictive Control, especially approaches based on the Model…

Robotics · Computer Science 2026-01-27 Tanmay Desai , Brian Plancher , R. Iris Bahar

The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription. This…

Strongly Correlated Electrons · Physics 2009-11-10 Ulrich Schollwoeck

Modeling to generate alternatives (MGA) is an increasingly popular method in energy system optimization. MGA explores the near-optimal space, namely, system alternatives whose costs are within a certain fraction of the globally optimal…

Optimization and Control · Mathematics 2024-07-01 Christoph S. Funke , Linda Brodnicke , Francesco Lombardi , Giovanni Sansavini

We propose and analyze an Accelerated Rearrangement Method (ARM) for solving a class of nonconvex optimization problems involving two-phase composites. These problems include maximizing the (work) energy of a membrane governed by the…

Optimization and Control · Mathematics 2026-02-26 Chiu-Yen Kao , Seyyed Abbas Mohammadi , Braxton Osting

We develop a divergence-minimization (DM) framework for robust and efficient inference in latent-mixture models. By optimizing a residual-adjusted divergence, the DM approach recovers EM as a special case and yields robust alternatives…

Statistics Theory · Mathematics 2025-11-25 Lei Li , Anand N. Vidyashankar

Extreme learning machines (ELMs), which preset hidden layer parameters and solve for last layer coefficients via a least squares method, can typically solve partial differential equations faster and more accurately than Physics Informed…

Numerical Analysis · Mathematics 2025-09-10 Chang-Ock Lee , Byungeun Ryoo

We introduce the Nuclear Electronic All-Particle Density Matrix Renormalization Group (NEAP-DMRG) method for solving the time-independent Schr\"odinger equation simultaneously for electrons and other quantum species. In contrast to already…

Chemical Physics · Physics 2020-05-29 Andrea Muolo , Alberto Baiardi , Robin Feldmann , Markus Reiher

The stringent requirements of mobile edge computing (MEC) applications and functions fathom the high capacity and dense deployment of MEC hosts to the upcoming wireless networks. However, operating such high capacity MEC hosts can…

Machine Learning · Computer Science 2021-02-11 Md. Shirajum Munir , Nguyen H. Tran , Walid Saad , Choong Seon Hong

Model usage is the central challenge of model-based reinforcement learning. Although dynamics model based on deep neural networks provide good generalization for single step prediction, such ability is over exploited when it is used to…

Machine Learning · Computer Science 2020-06-30 Chi Zhang , Sanmukh Rao Kuppannagari , Viktor K Prasanna

We introduce DMRG[FEAST], a new method for optimizing excited-state many-body wave functions with the density matrix renormalization group (DMRG) algorithm. Our approach applies the FEAST algorithm, originally designed for large-scale…

Chemical Physics · Physics 2022-01-14 Alberto Baiardi , Anna K. Kelemen , Markus Reiher

We present a fully iterative adaptive algorithm for the numerical minimization of strongly convex energy functionals in Hilbert spaces. The proposed approach, which we first present in abstract form, generates a hierarchical sequence of…

Numerical Analysis · Mathematics 2026-02-26 Raphael Leu , Thomas P. Wihler

Protein structure prediction is a critical problem linked to drug design, mutation detection, and protein synthesis, among other applications. To this end, evolutionary data has been used to build contact maps which are traditionally…

Biomolecules · Quantitative Biology 2022-11-08 Lakshmi A. Ghantasala , Risi Jaiswal , Supriyo Datta

This letter proposes a novel sparsity-aware adaptive filtering scheme and algorithms based on an alternating optimization strategy with shrinkage. The proposed scheme employs a two-stage structure that consists of an alternating…

Systems and Control · Computer Science 2023-07-19 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

We have developed a simulation code with the techniques which enhance both spatial and time resolution of the PM method for which the spatial resolution is restricted by the spacing of structured mesh. The adaptive mesh refinement (AMR)…

Astrophysics · Physics 2009-11-06 Hideki Yahagi , Yuzuru Yoshii

Reference-based super-resolution (RefSR) has made significant progress in producing realistic textures using an external reference (Ref) image. However, existing RefSR methods obtain high-quality correspondence matchings consuming quadratic…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Bin Xia , Yapeng Tian , Yucheng Hang , Wenming Yang , Qingmin Liao , Jie Zhou