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Single-cell gene expression data provide invaluable resources for systematic characterization of cellular hierarchy in multi-cellular organisms. However, cell lineage reconstruction is still often associated with significant uncertainty due…

Quantitative Methods · Quantitative Biology 2016-01-13 Gregory Giecold , Eugenio Marco , Lorenzo Trippa , Guo-Cheng Yuan

We use reproducing kernel methods to study various rigidity problems. The methods and setting allow us to also consider the non-positive case.

Complex Variables · Mathematics 2007-09-18 Daniel Alpay , Simeon Reich , David Shoikhet

Representing graphs by their homomorphism counts has led to the beautiful theory of homomorphism indistinguishability in recent years. Moreover, homomorphism counts have promising applications in database theory and machine learning, where…

Data Structures and Algorithms · Computer Science 2023-10-16 Jan Böker , Louis Härtel , Nina Runde , Tim Seppelt , Christoph Standke

In this paper, we propose a method to obtain a compact and accurate 3D wireframe representation from a single image by effectively exploiting global structural regularities. Our method trains a convolutional neural network to simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Yichao Zhou , Haozhi Qi , Yuexiang Zhai , Qi Sun , Zhili Chen , Li-Yi Wei , Yi Ma

Reconstructing 3D object from a single image (RGB or depth) is a fundamental problem in visual scene understanding and yet remains challenging due to its ill-posed nature and complexity in real-world scenes. To address those challenges, we…

Computer Vision and Pattern Recognition · Computer Science 2021-09-10 Qian He , Desen Zhou , Bo Wan , Xuming He

3D reconstruction from single view images is an ill-posed problem. Inferring the hidden regions from self-occluded images is both challenging and ambiguous. We propose a two-pronged approach to address these issues. To better incorporate…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Priyanka Mandikal , K L Navaneet , Mayank Agarwal , R. Venkatesh Babu

We introduce models of generic rigidity percolation in two dimensions on hierarchical networks, and solve them exactly by means of a renormalization transformation. We then study how the possibility for the network to self organize in order…

Statistical Mechanics · Physics 2015-05-13 J. Barré

This paper presents a simple yet powerful method for 3D human mesh reconstruction from a single RGB image. Most recently, the non-local interactions of the whole mesh vertices have been effectively estimated in the transformer while the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Jeonghwan Kim , Mi-Gyeong Gwon , Hyunwoo Park , Hyukmin Kwon , Gi-Mun Um , Wonjun Kim

We study an issue commonly seen with graph data analysis: many real-world complex systems involving high-order interactions are best encoded by hypergraphs; however, their datasets often end up being published or studied only in the form of…

Social and Information Networks · Computer Science 2022-11-28 Yanbang Wang , Jon Kleinberg

Cryo-EM reconstruction algorithms seek to determine a molecule's 3D density map from a series of noisy, unlabeled 2D projection images captured with an electron microscope. Although reconstruction algorithms typically model the 3D volume as…

Biomolecules · Quantitative Biology 2021-07-06 Ellen D. Zhong , Adam Lerer , Joseph H. Davis , Bonnie Berger

X-ray single particle imaging involves the measurement of a large number of noisy diffraction patterns of isolated objects in random orientations. The missing information about these patterns is then computationally recovered in order to…

Image and Video Processing · Electrical Eng. & Systems 2020-05-25 Kartik Ayyer

This paper presents a method for time-lapse 3D cell analysis. Specifically, we consider the problem of accurately localizing and quantitatively analyzing sub-cellular features, and for tracking individual cells from time-lapse 3D confocal…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Jiaxiang Jiang , Amil Khan , S. Shailja , Samuel A. Belteton , Michael Goebel , Daniel B. Szymanski , B. S. Manjunath

3D face reconstruction is a challenging problem but also an important task in the field of computer vision and graphics. Recently, many researchers put attention to the problem and a large number of articles have been published. Single…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Hanxin Wang

Solving the challenging problem of 3D object reconstruction from a single image appropriately gives existing technologies the ability to perform with a single monocular camera rather than requiring depth sensors. In recent years, thanks to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Guiju Ping , Mahdi Abolfazli Esfahani , Han Wang

Single-cell technologies have revolutionized biomedical research by enabling scalable measurement of the genome, transcriptome, and proteome of multiple systems at single-cell resolution. Now widely applied to cancer models, these assays…

Genomics · Quantitative Biology 2020-05-05 Allen W Zhang , Kieran R Campbell

3D face reconstruction is a fundamental Computer Vision problem of extraordinary difficulty. Current systems often assume the availability of multiple facial images (sometimes from the same subject) as input, and must address a number of…

Computer Vision and Pattern Recognition · Computer Science 2017-09-11 Aaron S. Jackson , Adrian Bulat , Vasileios Argyriou , Georgios Tzimiropoulos

Different cell types aggregate and sort into hierarchical architectures during the formation of animal tissues. The resulting spatial organization depends (in part) on the strength of adhesion of one cell type to itself relative to other…

Quantitative Methods · Quantitative Biology 2023-08-02 Dhananjay Bhaskar , William Y. Zhang , Alexandria Volkening , Björn Sandstede , Ian Y. Wong

Single-pixel imaging (SPI) is significant for applications constrained by transmission bandwidth or lighting band, where 3D SPI can be further realized through capturing signals carrying depth. Sampling strategy and reconstruction algorithm…

Image and Video Processing · Electrical Eng. & Systems 2025-04-01 Xinyue Ma , Chenxing Wang

Protein one-dimensional (1D) structures such as secondary structure and contact number provide intuitive pictures to understand how the native three-dimensional (3D) structure of a protein is encoded in the amino acid sequence. However, it…

Biomolecules · Quantitative Biology 2007-05-23 Akira R. Kinjo , Ken Nishikawa

The application of single-cell molecular profiling coupled with spatial technologies has enabled charting cellular heterogeneity in reference tissues and in disease. This new wave of molecular data has highlighted the expected diversity of…

Tissues and Organs · Quantitative Biology 2024-03-12 Ricardo Omar Ramirez Flores , Philipp Sven Lars Schäfer , Leonie Küchenhoff , Julio Saez-Rodriguez
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