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Processing high-volume, streaming data is increasingly common in modern statistics and machine learning, where batch-mode algorithms are often impractical because they require repeated passes over the full dataset. This has motivated…

Several variants of the recently proposed Density Matrix Embedding Theory (DMET) [G. Knizia and G. K-L. Chan, Phys. Rev. Lett. 109, 186404 (2012)] are formulated and tested. We show that spin symmetry breaking of the lattice mean-field…

Strongly Correlated Electrons · Physics 2015-06-17 Ireneusz W. Bulik , Gustavo E. Scuseria , Jorge Dukelsky

The construction of the Hamiltonian matrix \textbf{H} is an essential, yet computationally expensive step in \textit{ab-initio} device simulations based on density-functional theory (DFT). In homogeneous structures, the fact that a unit…

Disordered Systems and Neural Networks · Physics 2026-02-03 Chen Hao Xia , Manasa Kaniselvan , Marko Mladenoivić , Mathieu Luisier

The field of evolutionary many-task optimization (EMaTO) is increasingly recognized for its ability to streamline the resolution of optimization challenges with repetitive characteristics, thereby conserving computational resources. This…

Artificial Intelligence · Computer Science 2024-07-15 Yudong Yang , Kai Wu , Xiangyi Teng , Handing Wang , He Yu , Jing Liu

We study smoothed analysis of distributed graph algorithms, focusing on the fundamental minimum spanning tree (MST) problem. With the goal of studying the time complexity of distributed MST as a function of the "perturbation" of the input…

Data Structures and Algorithms · Computer Science 2019-11-11 Soumyottam Chatterjee , Gopal Pandurangan , Nguyen Dinh Pham

In multiple attribute decision analysis (MADA) problems, one often needs to deal with assessment information with uncertainty. The evidential reasoning approach is one of the most effective methods to deal with such MADA problems. As kernel…

Artificial Intelligence · Computer Science 2019-03-29 Lianmeng Jiao , Xiaojiao Geng

In this paper we propose and study a new complexity model for approximation algorithms. The main motivation are practical problems over large data sets that need to be solved many times for different scenarios, e.g., many multicast trees…

Data Structures and Algorithms · Computer Science 2010-06-18 Marek Cygan , Lukasz Kowalik , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

We extract a core principle underlying seemingly different fundamental distributed settings, showing sparsity awareness may induce faster algorithms for problems in these settings. To leverage this, we establish a new framework by…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Keren Censor-Hillel , Dean Leitersdorf , Volodymyr Polosukhin

Recently, large-scale transformer-based models have been proven to be effective over various tasks across many domains. Nevertheless, applying them in industrial production requires tedious and heavy works to reduce inference costs. To fill…

Computation and Language · Computer Science 2022-05-25 Gongzheng Li , Yadong Xi , Jingzhen Ding , Duan Wang , Bai Liu , Changjie Fan , Xiaoxi Mao , Zeng Zhao

A review of the present status, recent enhancements, and applicability of the SIESTA program is presented. Since its debut in the mid-nineties, SIESTA's flexibility, efficiency and free distribution has given advanced materials simulation…

In distributed detection systems, energy-efficient ordered transmission (EEOT) schemes are able to reduce the number of transmissions required to make a final decision. In this work, we investigate the effect of data falsification attacks…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Chen Quan , Nandan Sriranga , Haodong Yang , Yunghsiang S. Han , Baocheng Geng , Pramod K. Varshney

We study the distributed minimum spanning tree (MST) problem, a fundamental problem in distributed computing. It is well-known that distributed MST can be solved in $\tilde{O}(D+\sqrt{n})$ rounds in the standard CONGEST model (where $n$ is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-20 John Augustine , William K. Moses , Gopal Pandurangan

Distributed energy resources are better for the environment but may cause transformer overload in distribution grids, calling for recovering meter-transformer mapping to provide situational awareness, i.e., the transformer loading. The…

Optimization and Control · Mathematics 2022-05-23 Bilal Saleem , Yang Weng

We develop a method in which the electronic densities of small fragments determined by Kohn-Sham density functional theory (DFT) are embedded using stochastic DFT to form the exact density of the full system. The new method preserves the…

Chemical Physics · Physics 2015-06-19 Daniel Neuhauser , Roi Baer , Eran Rabani

For electromagnetic transient (EMT) simulation of a power system, a state-space-based approach needs to solve state-space EMT equations by using numerical integration methods, e.g., the Euler method, Runge-Kutta methods, and…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Min Xiong , Rui Yao , Yang Liu , Kai Sun , Feng Qiu

Foundation models achieve state-of-the-art performance across different tasks, but their size and computational demands raise concerns about accessibility and sustainability. Existing efficiency methods often require additional retraining…

This paper presents a fundamental algorithm, called VDB-EDT, for Euclidean distance transform (EDT) based on the VDB data structure. The algorithm executes on grid maps and generates the corresponding distance field for recording distance…

Robotics · Computer Science 2021-05-11 Delong Zhu , Chaoqun Wang , Wenshan Wang , Rohit Garg , Sebastian Scherer , Max Q. -H. Meng

One of the fundamental problems in machine learning is the estimation of a probability distribution from data. Many techniques have been proposed to study the structure of data, most often building around the assumption that observations…

Machine Learning · Statistics 2013-02-22 Oren Rippel , Ryan Prescott Adams

Recently, Transformer-based methods have achieved impressive results in single image super-resolution (SISR). However, the lack of locality mechanism and high complexity limit their application in the field of super-resolution (SR). To…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Ling Zheng , Jinchen Zhu , Jinpeng Shi , Shizhuang Weng

The knowledge of effective masses is a key ingredient to analyze numerous properties of semiconductors, like carrier mobilities, (magneto-)transport properties, or band extrema characteristics yielding carrier densities and density of…