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PET requires accurate, precise, and efficient scatter correction techniques. Conventional scatter estimation typically relies on tail-fitted single-scatter simulation (SSS) strategy. However, the accuracy of tail-fitted SSS is limited, for…

In this thesis, we propose new theoretical frameworks for the analysis of stochastic and distributed methods with error compensation and local updates. Using these frameworks, we develop more than 20 new optimization methods, including the…

Optimization and Control · Mathematics 2021-12-21 Eduard Gorbunov

In the paper, a novel distributed stochastic approximation algorithm (DSAA) is proposed to seek roots of the sum of local functions, each of which is associated with an agent from the multiple agents connected in a network. At any time,…

Optimization and Control · Mathematics 2019-05-06 Jinlong Lei , Han-Fu Chen

Finding an energy minimum in the Ising model is an exemplar objective, associated with many combinatorial optimization problems, that is computationally hard in general, but occurs in all areas of modern science. There are several numerical…

Quantum Physics · Physics 2019-07-17 A. Yavorsky , L. A. Markovich , E. A. Polyakov , A. N. Rubtsov

Anticipating the low energy arrangements of atoms in space is an indispensable scientific task. Modern stochastic approaches to searching for these configurations depend on the optimisation of structures to nearby local minima in the energy…

Materials Science · Physics 2019-02-07 Chris J. Pickard

We examined energy spectrums of some particular systems of binary spins. It is shown that the configuration space can be divided into classes, and in the limit the energy distributions in these classes can be approximated by the normal…

Disordered Systems and Neural Networks · Physics 2015-05-14 Boris Kryzhanovsky , Leonid Litinskii

In this paper, the sparse sensor placement problem for least-squares estimation is considered, and the previous novel approach of the sparse sensor selection algorithm is extended. The maximization of the determinant of the matrix which…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Yuji Saito , Taku Nonomura , Keigo Yamada , Kumi Nakai , Takayuki Nagata , Keisuke Asai , Yasuo Sasaki , Daisuke Tsubakino

Semi-supervised (SS) semantic segmentation exploits both labeled and unlabeled images to overcome tedious and costly pixel-level annotation problems. Pseudolabel supervision is one of the core approaches of training networks with both…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Rini Smita Thakur , Vinod K. Kurmi

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

Many computer vision problems require optimization of binary non-submodular energies. We propose a general optimization framework based on local submodular approximations (LSA). Unlike standard LP relaxation methods that linearize the whole…

Computer Vision and Pattern Recognition · Computer Science 2014-04-17 Lena Gorelick , Yuri Boykov , Olga Veksler , Ismail Ben Ayed , Andrew Delong

This paper investigates resource allocation for simultaneous wireless information and power transfer (SWIPT) downlink systems based on a non-linear energy harvesting model. The resource allocation algorithm design is formulated as a…

Information Theory · Computer Science 2016-11-17 Elena Boshkovska , Alexander Koelpin , Derrick Wing Kwan Ng , Nikola Zlatanov , Robert Schober

A distributed adaptive algorithm is proposed to solve a node-specific parameter estimation problem where nodes are interested in estimating parameters of local interest, parameters of common interest to a subset of nodes and parameters of…

Computers and Society · Computer Science 2023-07-19 Jorge Plata-Chaves , Nikola Bogdanovic , Kostas Berberidis

It is very important to locate the short-circuit fault in a power system quickly and accurately. Electromagnetic time reversal (EMTR) has drawn increasing attention because of its clear physical background and excellent performance. This…

Computational Engineering, Finance, and Science · Computer Science 2021-12-14 Guanbo Wang , Chijie Zhuang , Rong Zeng

We introduce an evolutionary stochastic-local-search (SLS) algorithm for addressing a generalized version of the so-called 1/V/D/R cutting-stock problem. Cutting-stock problems are encountered often in industrial environments and the…

Neural and Evolutionary Computing · Computer Science 2017-07-28 Georgios C. Chasparis , Michael Rossbory , Verena Haunschmid

Sketch-and-solve (SAS) is a very successful method to efficiently estimate the solution of heavily overdetermined large linear least squares problems. It uses random sketching to reduce the size of the problem, hence reducing the…

Numerical Analysis · Mathematics 2026-05-26 Irina-Beatrice Haas , Michael B. Giles , Yuji Nakatsukasa

For complex nonlinear systems, it is challenging to design algorithms that are fast, scalable, and give an accurate approximation of the stability region. This paper proposes a sampling-based approach to address these challenges. By…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Péter Antal , Tamás Péni , Roland Tóth

Statistical Data Assimilation (SDA) is the transfer of information from field or laboratory observations to a user selected model of the dynamical system producing those observations. The data is noisy and the model has errors; the…

Computation · Statistics 2019-01-16 Adrian S. Wong , Kangbo Hao , Zheng Fang , Henry D. I. Abarbanel

Though numerous solvers have been proposed for the MaxSAT problem, and the benchmark environment such as MaxSAT Evaluations provides a platform for the comparison of the state-of-the-art solvers, existing assessments were usually evaluated…

Artificial Intelligence · Computer Science 2026-04-09 Furong Ye , Chuan Luo , Shaowei Cai

This work concerns the analysis and design of distributed first-order optimization algorithms over time-varying graphs. The goal of such algorithms is to optimize a global function that is the average of local functions using only local…

Optimization and Control · Mathematics 2020-02-17 Akhil Sundararajan , Bryan Van Scoy , Laurent Lessard

We describe a new sampling-based method to determine cuts in an undirected graph. For a graph (V, E), its cycle space is the family of all subsets of E that have even degree at each vertex. We prove that with high probability, sampling the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-22 David Pritchard , Ramakrishna Thurimella