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Semi-supervised clustering techniques have emerged as valuable tools for leveraging prior information in the form of constraints to improve the quality of clustering outcomes. Despite the proliferation of such methods, the ability to…

Machine Learning · Computer Science 2023-12-19 Guangjie Zeng , Hao Peng , Angsheng Li , Zhiwei Liu , Runze Yang , Chunyang Liu , Lifang He

3D fragment reassembly aims to recover the rigid poses of unordered fragment point clouds or meshes in a common object coordinate system to reconstruct the complete shape. The problem becomes particularly challenging as the number of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Hanze Jia , Chunshi Wang , Yuxiao Yang , Zhonghua Jiang , Yawei Luo , Shuainan Ye , Tan Tang

Elastomeric mechanical metamaterials exhibit unconventional behaviour, emerging from their microstructures often deforming in a highly nonlinear and unstable manner. Such microstructural pattern transformations lead to non-local behaviour…

Soft Condensed Matter · Physics 2025-02-18 S. O. Sperling , T. Guo , R. H. J. Peerlings , V. G. Kouznetsova , M. G. D. Geers , O. Rokoš

Microstructure reconstruction is an important cornerstone to the inverse materials design concept. In this work, a general algorithm is developed to reconstruct a three-dimensional microstructure from given descriptors. Based on…

Materials Science · Physics 2021-10-26 Paul Seibert , Alexander Raßloff , Marreddy Ambati , Markus Kästner

Single particle cryo-electron microscopy has become a critical tool in structural biology over the last decade, able to achieve atomic scale resolution in three dimensional models from hundreds of thousands of (noisy) two-dimensional…

Numerical Analysis · Mathematics 2023-07-19 Aaditya V. Rangan , Leslie Greengard

Micro- and mesostructures of multiphase materials obtained from tomography and image acquisition are an ever more important database for simulation analyses. Huge data sets for reconstructed 3d volumes typically as voxel grids call for…

Computational Engineering, Finance, and Science · Computer Science 2021-03-17 Ajinkya Gote , Andreas Fischer , Chuanzeng Zhang , Bernhard Eidel

Inverse design of high-resolution and fine-detailed 3D lightweight mechanical structures is notoriously expensive due to the need for vast computational resources and the use of very fine-scaled complex meshes. Furthermore, in designing for…

Multi-segment reconstruction (MSR) problem consists of recovering a signal from noisy segments with unknown positions of the observation windows. One example arises in DNA sequence assembly, which is typically solved by matching short reads…

Signal Processing · Electrical Eng. & Systems 2018-02-27 Mona Zehni , Minh N. Do , Zhizhen Zhao

In this paper we develop two new Tensor Alternating Steepest Descent algorithms for tensor completion in the low-rank $\star_{M}$-product format, whereby we aim to reconstruct an entire low-rank tensor from a small number of measurements…

Numerical Analysis · Mathematics 2025-06-13 Oliver Townsend , Sergey Dolgov , Silvia Gazzola , Misha Kilmer

In this report, we applied expectation and maximization (EM) method described by Philips et al [1] to recover two-dimensional (2D) structure from multiple sparse signal images in random orientation. The detailed derivation of EM algorithm…

Data Analysis, Statistics and Probability · Physics 2017-01-12 Yun Zhao

In materials science, microstructures and their associated extrinsic properties are critical for engineering advanced structural and functional materials, yet their robust reconstruction and generation remain significant challenges. In this…

Materials Science · Physics 2024-10-01 Yixuan Zhang , Teng Long , Hongbin Zhang

This paper proposes a new two-step procedure for sparse-view tomographic image reconstruction. It is called RISING, since it combines an early-stopped Rapid Iterative Solver with a subsequent Iteration Network-based Gaining step. So far,…

Numerical Analysis · Mathematics 2022-01-25 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini

Masked Autoregressive (MAR) models promise better efficiency in visual generation than autoregressive (AR) models for the ability of parallel generation, yet their acceleration potential remains constrained by the modeling complexity of…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Feihong Yan , Peiru Wang , Yao Zhu , Kaiyu Pang , Qingyan Wei , Huiqi Li , Linfeng Zhang

Bicontinuous microstructures are essential to the function of diverse natural and synthetic systems. Their synthesis has been based on two approaches: arrested phase separation or self-assembly of block copolymers. The former is attractive…

We present a new method for reconstructing two-dimensional mass maps of galaxy clusters from the image distortion of background galaxies. In contrast to most previous approaches, which directly convert locally averaged image ellipticities…

Astrophysics · Physics 2007-05-23 Stella Seitz , Peter Schneider , Matthias Bartelmann

Multiple clustering aims at discovering diverse ways of organizing data into clusters. Despite the progress made, it's still a challenge for users to analyze and understand the distinctive structure of each output clustering. To ease this…

Machine Learning · Computer Science 2019-07-29 Xing Wang , Jun Wang , Carlotta Domeniconi , Guoxian Yu , Guoqiang Xiao , Maozu Guo

There are a large number of methods for solving under-determined linear inverse problem. Many of them have very high time complexity for large datasets. We propose a new method called Two-Stage Sparse Representation (TSSR) to tackle this…

Computer Vision and Pattern Recognition · Computer Science 2015-12-09 Chengyu Peng , Hong Cheng , Manchor Ko

Low-dimensional embeddings and visualizations are an indispensable tool for analysis of high-dimensional data. State-of-the-art methods, such as tSNE and UMAP, excel in unveiling local structures hidden in high-dimensional data and are…

Machine Learning · Computer Science 2023-02-01 Jonas Fischer , Rebekka Burkholz , Jilles Vreeken

This paper introduces an elasticity reconstruction method based on local displacement observations of elastic bodies. Sparse reconstruction theory is applied to formulate the underdetermined inverse problems of elasticity reconstruction…

Machine Learning · Computer Science 2019-02-26 Megumi Nakao , Mitsuki Morita , Tetsuya Matsuda

We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is applied to detect the location of the inhomogeneity in the…

Numerical Analysis · Mathematics 2022-01-04 Kazufumi Ito , Ying Liang , Jun Zou