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As a real scenes sensing approach, depth information obtains the widespread applications. However, resulting from the restriction of depth sensing technology, the depth map captured in practice usually suffers terrible noise and missing…

Computer Vision and Pattern Recognition · Computer Science 2020-01-09 Wenxiang Zuo , Qiang Li , Xianming Liu

In this paper we address the rotation synchronization problem, where the objective is to recover absolute rotations starting from pairwise ones, where the unknowns and the measures are represented as nodes and edges of a graph,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-10 Gk Tejus , Giacomo Zara , Paolo Rota , Andrea Fusiello , Elisa Ricci , Federica Arrigoni

In this work we consider a generalized bilevel optimization framework for solving inverse problems. We introduce fractional Laplacian as a regularizer to improve the reconstruction quality, and compare it with the total variation…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Harbir Antil , Zichao Di , Ratna Khatri

This work studies the strong duality of non-convex matrix factorization problems: we show that under certain dual conditions, these problems and its dual have the same optimum. This has been well understood for convex optimization, but…

Data Structures and Algorithms · Computer Science 2018-04-26 Maria-Florina Balcan , Yingyu Liang , David P. Woodruff , Hongyang Zhang

The outbreak of novel coronavirus disease (COVID- 19) has claimed millions of lives and has affected all aspects of human life. This paper focuses on the application of deep learning (DL) models to medical imaging and drug discovery for…

Image and Video Processing · Electrical Eng. & Systems 2021-07-21 Subrato Bharati , Prajoy Podder , M. Rubaiyat Hossain Mondal , V. B. Surya Prasath

Due to the significant resemblance in visual appearance, pill misuse is prevalent and has become a critical issue, responsible for one-third of all deaths worldwide. Pill identification, thus, is a crucial concern needed to be investigated…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Anh Duy Nguyen , Huy Hieu Pham , Huynh Thanh Trung , Quoc Viet Hung Nguyen , Thao Nguyen Truong , Phi Le Nguyen

Modern high-performance computing (HPC) increasingly relies on GPUs, but integrating GPU acceleration into complex scientific frameworks like OpenFOAM remains a challenge. Existing approaches either fully refactor the codebase or use…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Gregor Olenik , Marcel Koch , Hartwig Anzt

A pharmacological effect of a drug on cells, organs and systems refers to the specific biochemical interaction produced by a drug substance, which is called its mechanism of action. Drug repositioning (or drug repurposing) is a fundamental…

Machine Learning · Computer Science 2020-05-19 Dehua Chen , Amir Jalilifard , Adriano Veloso , Nivio Ziviani

The Matrix Decomposition techniques have been a vital computational approach to analyzing the hierarchy of functional connectivity in the human brain. However, there are still four shortcomings of these methodologies: 1). Large training…

Machine Learning · Computer Science 2022-05-24 Wei Zhang , Yu Bao

We consider the problem of matrix completion with side information (\textit{inductive matrix completion}). In real-world applications many side-channel features are typically non-informative making feature selection an important part of the…

Machine Learning · Statistics 2018-10-09 Ivan Nazarov , Boris Shirokikh , Maria Burkina , Gennady Fedonin , Maxim Panov

The current pandemic has highlighted the need for methodologies that can quickly and reliably prioritize clinically approved compounds for their potential effectiveness for SARS-CoV-2 infections. In the past decade, network medicine has…

In this paper, we consider optimal low-rank regularized inverse matrix approximations and their applications to inverse problems. We give an explicit solution to a generalized rank-constrained regularized inverse approximation problem,…

Numerical Analysis · Mathematics 2016-03-21 Julianne Chung , Matthias Chung

The novelty of new human coronavirus COVID-19/SARS-CoV-2 and the lack of effective drugs and vaccines gave rise to a wide variety of strategies employed to fight this worldwide pandemic. Many of these strategies rely on the repositioning of…

Molecular Networks · Quantitative Biology 2021-06-09 Giulia Fiscon , Federica Conte , Lorenzo Farina , Paola Paci

With the fast development of COVID-19 into a global pandemic, scientists around the globe are desperately searching for effective antiviral therapeutic agents. Bridging systems biology and drug discovery, we propose a deep learning…

Quantitative Methods · Quantitative Biology 2020-11-24 Jannis Born , Matteo Manica , Joris Cadow , Greta Markert , Nil Adell Mill , Modestas Filipavicius , María Rodríguez Martínez

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

Recent theory of mapping an image into a structured low-rank Toeplitz or Hankel matrix has become an effective method to restore images. In this paper, we introduce a generalized structured low-rank algorithm to recover images from their…

Image and Video Processing · Electrical Eng. & Systems 2018-11-28 Yue Hu , Xiaohan Liu , Mathews Jacob

In this paper, we describe a low-rank matrix completion method based on matrix decomposition. An incomplete matrix is decomposed into submatrices which are filled with a proposed trimming step and then are recombined to form a low-rank…

Numerical Analysis · Mathematics 2010-06-29 Rick Ma , Samuel Cheng

Matrix factorization is an inference problem that has acquired importance due to its vast range of applications that go from dictionary learning to recommendation systems and machine learning with deep networks. The study of its fundamental…

Disordered Systems and Neural Networks · Physics 2023-08-01 Francesco Camilli , Marc Mézard

The goal of affine matrix rank minimization problem is to reconstruct a low-rank or approximately low-rank matrix under linear constraints. In general, this problem is combinatorial and NP-hard. In this paper, a nonconvex fraction function…

Optimization and Control · Mathematics 2018-06-21 Angang Cui , Jigen Peng , Haiyang Li

Since the rise of the SARS-CoV-2 pandemic in the winter of 2019, the need for an affordable and efficient drug has not yet been met. Leveraging its unique, fast and precise binding free energy prediction technology, Aqemia screened and…