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We introduce a new centrality measure that characterizes the participation of each node in all subgraphs in a network. Smaller subgraphs are given more weight than larger ones, which makes this measure appropriate for characterizing network…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Foreground map evaluation is crucial for gauging the progress of object segmentation algorithms, in particular in the filed of salient object detection where the purpose is to accurately detect and segment the most salient object in a…

Computer Vision and Pattern Recognition · Computer Science 2017-08-03 Deng-Ping Fan , Ming-Ming Cheng , Yun Liu , Tao Li , Ali Borji

The definition of complexity through Statistical Complexity Measures (SCM) has recently seen major improvements. Mostly, effort is concentrated in measures on time series. We propose a SCM definition for spatial dynamical systems. Our…

Statistical Mechanics · Physics 2015-06-17 A. Arbona , C. Bona , B. Miñano , A. Plastino

Quantifying uncertainty in neural network predictions is essential for high-stakes domains such as autonomous driving, healthcare, and manufacturing. While existing approaches often depend on costly sampling or restrictive distributional…

Machine Learning · Computer Science 2026-05-29 Eunseo Choi , Ho-Yeon Kim , Jaewon Lee , Taeyong jo , Myungjun lee , Heejin Ahn

Inferring a binary connectivity graph from resting-state fMRI data for a single subject requires making several methodological choices and assumptions that can significantly affect the results. In this study, we investigate the robustness…

Methodology · Statistics 2025-03-20 Alice Chevaux , Ali Fahkar , Kévin Polisano , Irène Gannaz , Sophie Achard

Community detection in graphs often relies on ad hoc algorithms with no clear specification about the node partition they define as the best, which leads to uninterpretable communities. Stochastic block models (SBM) offer a framework to…

Social and Information Networks · Computer Science 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

Traditional graph centrality measures effectively quantify node importance but fail to capture the structural uniqueness of multi-scale connectivity patterns -- critical for understanding network resilience and function. This paper…

Social and Information Networks · Computer Science 2025-11-03 R. Scott Johnson

The quality assessment of edges in an image is an important topic as it helps to benchmark the performance of edge detectors, and edge-aware filters that are used in a wide range of image processing tasks. The most popular image quality…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Diana Sadykova , Alex Pappachen James

We propose a new class of semiparametric exponential family graphical models for the analysis of high dimensional mixed data. Different from the existing mixed graphical models, we allow the nodewise conditional distributions to be…

Machine Learning · Statistics 2015-10-16 Zhuoran Yang , Yang Ning , Han Liu

This paper focuses on the statistical analysis of shapes of data objects called shape graphs, a set of nodes connected by articulated curves with arbitrary shapes. A critical need here is a constrained registration of points (nodes to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Shenyuan Liang , Mauricio Pamplona Segundo , Sathyanarayanan N. Aakur , Sudeep Sarkar , Anuj Srivastava

Semantic similarity measures (SSMs) refer to a set of algorithms used to quantify the similarity of two or more terms belonging to the same ontology. Ontology terms may be associated to concepts, for instance in computational biology gene…

Molecular Networks · Quantitative Biology 2013-05-22 Pietro Hiram Guzzi , Simone Truglia , Pierangelo Veltri , Mario Cannataro

Economic models produce moment inequalities, which can be used to form tests of the true parameters. Confidence sets (CS) of the true parameters are derived by inverting these tests. However, they often lack analytical expressions,…

Econometrics · Economics 2024-11-14 Lujie Zhou

Uncertain knowledge graph embedding (UnKGE) methods learn vector representations that capture both structural and uncertainty information to predict scores of unseen triples. However, existing methods produce only point estimates, without…

Machine Learning · Statistics 2025-10-30 Yuqicheng Zhu , Jingcheng Wu , Yizhen Wang , Hongkuan Zhou , Jiaoyan Chen , Evgeny Kharlamov , Steffen Staab

GraphSPME is an open source Python, R and C++ header-only package implement-ing non-parametric sparse precision matrix estimation along with asymptotic Stein-type shrinkage estimation of the covariance matrix. The user defines a potential…

Computation · Statistics 2022-05-17 Berent Ånund Strømnes Lunde , Feda Curic , Sondre Sortland

It remains difficult to evaluate machine learning classifiers in the absence of a large, labeled dataset. While labeled data can be prohibitively expensive or impossible to obtain, unlabeled data is plentiful. Here, we introduce…

Machine Learning · Computer Science 2025-10-15 Divya Shanmugam , Shuvom Sadhuka , Manish Raghavan , John Guttag , Bonnie Berger , Emma Pierson

The existing traditional edge detection algorithms process a single pixel on an image at a time, thereby calculating a value which shows the edge magnitude of the pixel and the edge orientation. Most of these existing algorithms convert the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 B. O Sadiq , S. M Sani , S Garba

Medical image segmentation requires consensus ground truth segmentations to be derived from multiple expert annotations. A novel approach is proposed that obtains consensus segmentations from experts using graph cuts (GC) and semi…

Computer Vision and Pattern Recognition · Computer Science 2018-05-22 Dwarikanath Mahapatra

We investigate topological, combinatorial, statistical, and enumeration properties of finite graphs with high Kolmogorov complexity (almost all graphs) using the novel incompressibility method. Example results are: (i) the mean and variance…

Combinatorics · Mathematics 2007-05-23 Harry Buhrman , Ming Li , John Tromp , Paul Vitanyi

The development of external evaluation criteria for soft clustering (SC) has received limited attention: existing methods do not provide a general approach to extend comparison measures to SC, and are unable to account for the uncertainty…

Machine Learning · Computer Science 2022-06-22 Andrea Campagner , Davide Ciucci , Thierry Denœux

The proportion of edges in a Gaussian graphical model (GGM) characterizes the complexity of its conditional dependence structure. Since edge presence corresponds to a nonzero entry of the precision matrix, estimation of this proportion can…

Methodology · Statistics 2026-03-05 Nabaneet Das , Thorsten Dickhaus
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