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Data augmentation is a crucial technique for improving model generalization and robustness, particularly in deep learning models where training data is limited. Although many augmentation methods have been developed for time series…

Machine Learning · Computer Science 2026-04-13 Jafar Bakhshaliyev , Johannes Burchert , Niels Landwehr , Lars Schmidt-Thieme

Dynamic graphs have attracted increasing attention due to their ability to model complex and evolving relationships in real-world scenarios. Traditional approaches typically pre-train models using dynamic link prediction and directly apply…

Machine Learning · Computer Science 2026-01-21 Yufei Peng , Cheng Yang , Zhengjie Fan , Chuan Shi

In this study, the higher-order tensor renormalization group (HOTRG) method is applied to a lattice glass model that has local constraints on the occupation number of neighboring particles represented by many-body interactions. This model…

Statistical Mechanics · Physics 2020-09-16 Kota Yoshiyama , Koji Hukushima

This work presents a numerical investigation of different approximation techniques for the temporal weights used in the Dual Weighted Residual (DWR) method applied to a time-dependent convection-diffusion equation which is assumed to be…

Numerical Analysis · Mathematics 2024-07-19 Marius Paul Bruchhäuser , Markus Bause

We propose an initialization procedure for the density-matrix renormalization group (DMRG): {\it the recursive sweep method}. In a conventional DMRG calculation, the infinite-algorithm, where two new sites are added to the system at each…

Strongly Correlated Electrons · Physics 2007-05-23 Masaki Tezuka

We employ large-scale density-matrix renormalization group (DMRG) simulations to investigate the quantum phase diagram of the hole-doped Hubbard model on square lattices. By implementing a diagonally oriented square lattice and…

Strongly Correlated Electrons · Physics 2026-03-24 Zhi Xu , Gui-Xin Liu , Yi-Fan Jiang

Though the existence of two-level systems (TLS) is widely accepted to explain low temperature anomalies in the sound absorption, heat capacity, thermal conductivity and other quantities, an exact description of their microscopic nature is…

Materials Science · Physics 2009-11-10 J. Reinisch , A. Heuer

In order to clarify the physics of the crossover from a spin-density-wave (SDW) Mott insulator to a charge-density-wave (CDW) Peierls insulator in one-dimensional (1D) systems, we investigate the Hubbard-Holstein Hamiltonian at half filling…

Strongly Correlated Electrons · Physics 2010-02-22 S. Ejima , H. Fehske

Digital twin (DT) technology enables real-time simulation, prediction, and optimization of physical systems, but practical deployment faces challenges from high data requirements, proprietary data constraints, and limited adaptability to…

We present a time-domain iteration scheme for solving the Dynamical Mean-Field Theory (DMFT) self-consistent equations using retarded Green's functions in real time. Unlike conventional DMFT approaches that operate in imaginary time or…

Strongly Correlated Electrons · Physics 2026-01-28 Chakradhar Rangi , Aadi Singh , Ka-Ming Tam

A new approach to large-scale nuclear structure calculations, based on the Density Matrix Renormalization Group (DMRG), is described. The method is tested in the context of a problem involving many identical nucleons constrained to move in…

Nuclear Theory · Physics 2011-05-12 J. Dukelsky , S. Pittel

The Kato-Bloch perturbation formalism is used to present a density-matrix renormalization-group (DMRG) method for strongly anisotropic two-dimensional systems. This method is used to study Heisenberg chains weakly coupled by the transverse…

Strongly Correlated Electrons · Physics 2009-11-10 S. Moukouri

We present a density matrix renormalization group (DMRG) study of an extended $t-J$ model with hopping to the first and second neighbors -- the one dimensional $t_1-t_2-J$ model. The full phase diagram as a function of the density $n$ and…

Strongly Correlated Electrons · Physics 2024-02-27 Luhang Yang , Adrian E. Feiguin

We present an approach based upon binary tree tensor network (BTTN) states for computing steady-state current statistics for a many-particle 1D ratchet subject to volume exclusion interactions. The ratcheted particles, which move on a…

Statistical Mechanics · Physics 2023-01-02 Nils E. Strand , Hadrien Vroylandt , Todd R. Gingrich

In this paper, we present the main features of Dynamic Rapidly-exploring Generalized Bur Tree (DRGBT) algorithm, a sampling-based planner for dynamic environments. We provide a detailed time analysis and appropriate scheduling to facilitate…

Robotics · Computer Science 2025-09-08 Nermin Covic , Bakir Lacevic , Dinko Osmankovic , Tarik Uzunovic

Local temporal patterns in real-world time series continuously shift, rendering globally shared transformations suboptimal. Current deep forecasting models, despite their scale and complexity, rely on fixed weight matrices applied uniformly…

Machine Learning · Computer Science 2026-05-08 Siru Zhong , Zhao Meng , Haohuan Fu , Haoyang Li , Qingsong Wen , Yuxuan Liang

In this paper we give an introduction to the numerical density matrix renormalization group (DMRG) algorithm, from the perspective of the more general matrix product state (MPS) formulation. We cover in detail the differences between the…

Strongly Correlated Electrons · Physics 2009-11-13 Ian P. McCulloch

The one dimensional Hubbard model with nearest and (negative) next-nearest neighbour hopping has been studied with the density-matrix renormalization group (DMRG) method. A large region of ferromagnetism has been found for finite density…

Strongly Correlated Electrons · Physics 2009-10-28 S. Daul , R. Noack

Finite-temperature transport properties of one-dimensional systems can be studied using the time dependent density matrix renormalization group via the introduction of auxiliary degrees of freedom which purify the thermal statistical…

Strongly Correlated Electrons · Physics 2013-09-09 C. Karrasch , J. H. Bardarson , J. E. Moore

Similarity measures for time series are important problems for time series classification. To handle the nonlinear time distortions, Dynamic Time Warping (DTW) has been widely used. However, DTW is not learnable and suffers from a trade-off…

Computer Vision and Pattern Recognition · Computer Science 2023-09-14 Shinnosuke Matsuo , Xiaomeng Wu , Gantugs Atarsaikhan , Akisato Kimura , Kunio Kashino , Brian Kenji Iwana , Seiichi Uchida
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