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We propose an iterative algorithm to interpolate graph signals from only a partial set of samples. Our method is derived from the well known Papoulis-Gerchberg algorithm by considering the optimal value of a constant involved in the…

Numerical Analysis · Mathematics 2020-02-19 Emanuele Brugnoli , Elena Toscano , Calogero Vetro

While the research on image background restoration from regular size of degraded images has achieved remarkable progress, restoring ultra high-resolution (e.g., 4K) images remains an extremely challenging task due to the explosion of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Xin Feng , Haobo Ji , Wenjie Pei , Fanglin Chen , Guangming Lu

Reconstruction of a high-dimensional network may benefit substantially from the inclusion of prior knowledge on the network topology. In the case of gene interaction networks such knowledge may come for instance from pathway repositories…

Ising models are a simple generative approach to describing interacting binary variables. They have proven useful in a number of biological settings because they enable one to represent observed many-body correlations as the separable…

Machine Learning · Computer Science 2021-09-10 Emma Slade , Sonya Kiselgof , Lena Granovsky , Jeremy L. England

Biological oscillations are periodic changes in various signaling processes crucial for the proper functioning of living organisms. These oscillations are modeled by ordinary differential equations, with coefficient variations leading to…

Machine Learning · Computer Science 2024-12-04 Heng Rao , Yu Gu , Jason Zipeng Zhang , Ge Yu , Yang Cao , Minghan Chen

Accurate detection and segmentation of brain tumors is critical for medical diagnosis. However, current supervised learning methods require extensively annotated images and the state-of-the-art generative models used in unsupervised methods…

Image and Video Processing · Electrical Eng. & Systems 2023-11-07 Wenxin Wang , Zhuo-Xu Cui , Guanxun Cheng , Chentao Cao , Xi Xu , Ziwei Liu , Haifeng Wang , Yulong Qi , Dong Liang , Yanjie Zhu

The main goal of Systems Biology research is to reconstruct biological networks for its topological analysis so that reconstructed networks can be used for the identification of various kinds of disease. The availability of high-throughput…

Systems and Control · Computer Science 2013-07-02 Khalid Raza , Rajni Jaiswal

Generative Bayesian Filtering (GBF) provides a powerful and flexible framework for performing posterior inference in complex nonlinear and non-Gaussian state-space models. Our approach extends Generative Bayesian Computation (GBC) to…

Methodology · Statistics 2025-11-07 Edoardo Marcelli , Sean O'Hagan , Veronika Rockova

Retrieving gene functional networks from knowledge databases presents a challenge due to the mismatch between disease networks and subtype-specific variations. Current solutions, including statistical and deep learning methods, often fail…

Machine Learning · Computer Science 2025-02-25 Ziwei Yang , Zheng Chen , Xin Liu , Rikuto Kotoge , Peng Chen , Yasuko Matsubara , Yasushi Sakurai , Jimeng Sun

Inductive one-bit matrix completion is motivated by modern applications such as recommender systems, where new users would appear at test stage with the ratings consisting of only ones and no zeros. We propose a unified graph signal…

Machine Learning · Computer Science 2023-02-09 Chao Chen , Haoyu Geng , Gang Zeng , Zhaobing Han , Hua Chai , Xiaokang Yang , Junchi Yan

Genetic recombination can produce heterogeneous phylogenetic histories within a set of homologous genes. Delineating recombination events is important in the study of molecular evolution, as inference of such events provides a clearer…

Populations and Evolution · Quantitative Biology 2007-09-13 Cheong Xin Chan , Robert G. Beiko , Mark A. Ragan

Reconstructing an infinite-dimensional signal from a finite set of measurements is a fundamental problem in approximation theory and signal processing. While the generalized sampling (GS) framework provides a robust methodology for…

Functional Analysis · Mathematics 2026-05-25 Luca Finotti , Matteo Santacesaria

Generative models can serve as surrogates for some real data sources by creating synthetic training datasets, but in doing so they may transfer biases to downstream tasks. We focus on protecting quality and diversity when generating…

Computers and Society · Computer Science 2025-09-08 Allen Chang , Matthew C. Fontaine , Serena Booth , Maja J. Matarić , Stefanos Nikolaidis

Building better models of cellular pathways is one of the major challenges of systems biology and functional genomics. There is a need for methods to build on established expert knowledge and reconcile it with results of high-throughput…

Molecular Networks · Quantitative Biology 2014-06-25 Alexander Franks , Florian Markowetz , Edoardo Airoldi

In this paper, to unveil interpretable development-specific gene signatures in human PFC, we propose a novel gene selection method, named Interpretable Causality Gene Selection (ICGS), which adopts a Bayesian Network (BN) to represent…

Neurons and Cognition · Quantitative Biology 2022-11-18 Meng Huang , Xiucai Ye , Tetsuya Sakurai

Reconstructing the causal network in a complex dynamical system plays a crucial role in many applications, from sub-cellular biology to economic systems. Here we focus on inferring gene regulation networks (GRNs) from perturbation or gene…

Quantitative Methods · Quantitative Biology 2016-12-21 Hoi-To Wai , Anna Scaglione , Uzi Harush , Baruch Barzel , Amir Leshem

Recently, there has been a resurgence of interest in rigorous algorithms for the inference of cancer progression from genomic data. The motivations are manifold: (i) growing NGS and single cell data from cancer patients, (ii) need for novel…

Machine Learning · Computer Science 2016-02-25 Daniele Ramazzotti

We present a novel blind source separation (BSS) method, called information geometric blind source separation (IGBSS). Our formulation is based on the log-linear model equipped with a hierarchically structured sample space, which has…

Machine Learning · Statistics 2021-06-14 Simon Luo , Lamiae Azizi , Mahito Sugiyama

The objective of this research is to introduce a network specialized in predicting drugs that can be repurposed by investigating real-world evidence sources, such as clinical trials and biomedical literature. Specifically, it aims to…

Artificial Intelligence · Computer Science 2024-06-28 Ahmed Abdeen Hamed , Tamer E. Fandy

Next-generation sequencing (NGS) technologies allow new methodologies for alternative splicing (AS) analysis. Current computational methods for AS from NGS data are mainly focused on predicting splice site junctions or de novo assembly of…

Genomics · Quantitative Biology 2012-08-15 Stefano Beretta , Paola Bonizzoni , Gianluca Della Vedova , Raffaella Rizzi