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We shall derive and propose several efficient overlapping domain decomposition methods for solving some typical linear inverse problems, including the identiffication of the flux, the source strength and the initial temperature in second…

Numerical Analysis · Mathematics 2013-09-10 Jiang Daijun , Feng Hui , Zou Jun

Reconstructing interacting hands from a single RGB image is a very challenging task. On the one hand, severe mutual occlusion and similar local appearance between two hands confuse the extraction of visual features, resulting in the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Pengfei Ren , Chao Wen , Xiaozheng Zheng , Zhou Xue , Haifeng Sun , Qi Qi , Jingyu Wang , Jianxin Liao

A powerful existing technique for evaluating statistical mechanical quantities in two-dimensional Ising models is based on constructing a matrix representing the nearest neighbor spin couplings and then evaluating the Pfaffian of the…

Disordered Systems and Neural Networks · Physics 2013-04-16 Creighton K. Thomas , A. Alan Middleton

Feature attribution methods, or saliency maps, are one of the most popular approaches for explaining the decisions of complex machine learning models such as deep neural networks. In this study, we propose a stochastic optimization approach…

Machine Learning · Statistics 2018-07-17 Kouichi Ikeno , Satoshi Hara

We present and analyze a preconditioned conjugate gradient method (PCG) for solving spatial network problems. Primarily, we consider diffusion and structural mechanics simulations for fiber based materials, but the methodology can be…

Numerical Analysis · Mathematics 2022-07-18 Morgan Görtz , Fredrik Hellman , Axel Målqvist

Solving partial differential equations is crucial to analysing and predicting complex, large-scale physical systems but pushes conventional high-performance computers to their limits. Application specific photonic processors are an exciting…

Computational Physics · Physics 2025-11-04 Timoteo Lee , Frank Brückerhoff-Plückelmann , Jelle Dijkstra , Jan M. Pawlowski , Wolfram Pernice

The joint problem of reconstruction / feature extraction is a challenging task in image processing. It consists in performing, in a joint manner, the restoration of an image and the extraction of its features. In this work, we firstly…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Gabriele Scrivanti

This paper proposes a novel algorithm for the problem of structural image segmentation through an interactive model-based approach. Interaction is expressed in the model creation, which is done according to user traces drawn over a given…

Computer Vision and Pattern Recognition · Computer Science 2008-05-16 Alexandre Noma , Ana B. V. Graciano , Luis Augusto Consularo , Roberto M. Cesar-Jr , Isabelle Bloch

We study the mixing time of Glauber dynamics for Ising models in which the interaction matrix contains a single negative spectral outlier. This class includes the anti-ferromagnetic Curie-Weiss model, the anti-ferromagnetic Ising model on…

Probability · Mathematics 2026-04-09 Dan Mikulincer , Youngtak Sohn

This paper proposes a novel multi-exposure image fusion method based on exposure compensation. Multi-exposure image fusion is a method to produce images without color saturation regions, by using photos with different exposures. However, in…

Computer Vision and Pattern Recognition · Computer Science 2018-06-27 Yuma Kinoshita , Taichi Yoshida , Sayaka Shiota , Hitoshi Kiya

Physics-based simulation is essential for developing and evaluating robot manipulation policies, particularly in scenarios involving deformable objects and complex contact interactions. However, existing simulators often struggle to balance…

We present local mappings that relate the marginal probabilities of a global probability mass function represented by its primal normal factor graph to the corresponding marginal probabilities in its dual normal factor graph. The mapping is…

Machine Learning · Statistics 2022-08-11 Mehdi Molkaraie

Modern autonomous vehicles and robots utilize versatile sensors for localization and mapping. The fidelity of these maps is paramount, as an accurate environmental representation is a prerequisite for stable and precise localization. Factor…

Robotics · Computer Science 2026-02-10 Mark Griguletskii , Danil Belov , Pavel Osinenko

Uncalibrated photometric stereo is proposed to estimate the detailed surface normal from images under varying and unknown lightings. Recently, deep learning brings powerful data priors to this underdetermined problem. This paper presents a…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Fangzhou Gao , Meng Wang , Lianghao Zhang , Li Wang , Jiawan Zhang

We introduce a self-consistent mean-field quantum optimization algorithm that approximates the ground state of classical Ising Hamiltonians. The algorithm decomposes the problem into independent subproblems and treats the interactions…

Quantum Physics · Physics 2026-03-11 Maxime Dupont , Bhuvanesh Sundar , Meenambika Gowrishankar

Factorization machine (FM) is a prevalent approach to modeling pairwise (second-order) feature interactions when dealing with high-dimensional sparse data. However, on the one hand, FM fails to capture higher-order feature interactions…

Machine Learning · Computer Science 2025-02-24 Shu Wu , Zekun Li , Yunyue Su , Zeyu Cui , Xiaoyu Zhang , Liang Wang

Inversion of sparse matrices with standard direct solve schemes is robust, but computationally expensive. Iterative solvers, on the other hand, demonstrate better scalability; but, need to be used with an appropriate preconditioner (e.g.,…

Numerical Analysis · Mathematics 2017-09-28 Hadi Pouransari , Pieter Coulier , Eric Darve

We study the problem of approximating the partition function of the ferromagnetic Ising model in graphs and hypergraphs. Our first result is a deterministic approximation scheme (an FPTAS) for the partition function in bounded degree graphs…

Data Structures and Algorithms · Computer Science 2018-12-26 Jingcheng Liu , Alistair Sinclair , Piyush Srivastava

We present an alternative procedure for solving the eigenvalue problem of replicated transfer matrices describing disordered spin systems with (random) 1D nearest neighbor bonds and/or random fields, possibly in combination with (random)…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Nikoletopoulos , A. C. C. Coolen

Social networking on mobile devices has become a commonplace of everyday life. In addition, photo capturing process has become trivial due to the advances in mobile imaging. Hence people capture a lot of photos everyday and they want them…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Parag S. Chandakkar , Baoxin Li