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The output of a machine learning algorithm can usually be represented by one or more multivariate functions of its input variables. Knowing the global properties of such functions can help in understanding the system that produced the data…

Machine Learning · Statistics 2024-03-21 Jerome H. Friedman

We consider the problem of drawing multiple gene trees inside a single species tree in order to visualize multispecies coalescent trees. Specifically, the drawing of the species tree fills a rectangle in which each of its edges is…

Discrete Mathematics · Computer Science 2022-11-01 Jonathan Klawitter , Felix Klesen , Moritz Niederer , Alexander Wolff

Recent advances in high-resolution microscopy have allowed scientists to better understand the underlying brain connectivity. However, due to the limitation that biological specimens can only be imaged at a single timepoint, studying…

Machine Learning · Computer Science 2022-02-03 Saeed Boorboor , Shawn Mathew , Mala Ananth , David Talmage , Lorna W. Role , Arie E. Kaufman

Decompositions of networks are useful not only for structural exploration. They also have implications and use in analysis and computational solution of processes (such as the Ising model, percolation, SIR model) running on a given network.…

Disordered Systems and Neural Networks · Physics 2020-04-29 Konstantin Klemm

Multimodal image registration plays a key role in creating digital patient models by combining data from different imaging techniques into a single coordinate system. This process often involves multiple sequential and interconnected…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Agnieszka Anna Tomaka , Dariusz Pojda , Michał Tarnawski , Leszek Luchowski

With the advent of highly predictive but opaque deep learning models, it has become more important than ever to understand and explain the predictions of such models. Existing approaches define interpretability as the inverse of complexity…

Tree ring widths are an important source of climatic and historical data, but measuring these widths typically requires extensive manual work. Computer vision techniques provide promising directions towards the automation of tree ring…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Kayla Makela , Tim Ophelders , Michelle Quigley , Elizabeth Munch , Daniel Chitwood , Asia Dowtin

We present DeepVesselNet, an architecture tailored to the challenges faced when extracting vessel networks or trees and corresponding features in 3-D angiographic volumes using deep learning. We discuss the problems of low execution speed…

Computer Vision and Pattern Recognition · Computer Science 2019-08-14 Giles Tetteh , Velizar Efremov , Nils D. Forkert , Matthias Schneider , Jan Kirschke , Bruno Weber , Claus Zimmer , Marie Piraud , Bjoern H. Menze

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

Machine Learning · Statistics 2015-06-04 Gilles Louppe

Cerebrovascular pathology significantly contributes to cognitive decline and neurological disorders, underscoring the need for advanced tools to assess vascular integrity. Three-dimensional Time-of-Flight Magnetic Resonance Angiography (3D…

Image and Video Processing · Electrical Eng. & Systems 2025-07-11 Abrar Faiyaz , Nhat Hoang , Giovanni Schifitto , Md Nasir Uddin

Delineating 3D blood vessels is essential for clinical diagnosis and treatment, however, is challenging due to complex structure variations and varied imaging conditions. Supervised deep learning has demonstrated its superior capacity in…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Huai Chen , Xiuying Wang , Lisheng Wang

Understanding how the human brain represents visual concepts, and in which brain regions these representations are encoded, remains a long-standing challenge. Decades of work have advanced our understanding of visual representations, yet…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Navve Wasserman , Matias Cosarinsky , Yuval Golbari , Aude Oliva , Antonio Torralba , Tamar Rott Shaham , Michal Irani

Extracting complex structures from grid-based data is a common key step in automated medical image analysis. The conventional solution to recovering tree-structured geometries typically involves computing the minimal cost path through…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 James Batten , Matthew Sinclair , Ben Glocker , Michiel Schaap

Multidimensional scaling allows visualizing high-dimensional data as 2D maps with the premise that insights in 2D reveal valid information in high-dimensions. However, the resulting projections suffer from artifacts such as bad local…

Human-Computer Interaction · Computer Science 2017-05-16 Nicolas Heulot , Jean-Daniel Fekete , Michael Aupetit

Learning vector representations for programs is a critical step in applying deep learning techniques for program understanding tasks. Various neural network models are proposed to learn from tree-structured program representations, e.g.,…

Software Engineering · Computer Science 2023-01-10 Wenhan Wang , Kechi Zhang , Ge Li , Shangqing Liu , Anran Li , Zhi Jin , Yang Liu

Single neurons in neural networks are often interpretable in that they represent individual, intuitively meaningful features. However, many neurons exhibit $\textit{mixed selectivity}$, i.e., they represent multiple unrelated features. A…

Machine Learning · Statistics 2023-10-19 David Klindt , Sophia Sanborn , Francisco Acosta , Frédéric Poitevin , Nina Miolane

We present a fully automatic, graph-based technique for extracting the retinal vascular topology -- that is, how different vessels are connected to each other -- given a single color fundus image. Determining this connectivity is very…

Image and Video Processing · Electrical Eng. & Systems 2022-08-09 Aashis Khanal , Saeid Motevali , Rolando Estrada

Most biological data are multidimensional, posing a major challenge to human comprehension and computational analysis. Principal component analysis is the most popular approach to rendering two- or three-dimensional representations of the…

Methodology · Statistics 2016-09-13 Tom M. W. Nye , Xiaoxian Tang , Grady Weyenberg , Ruriko Yoshida

Implicit Neural Representations for Videos (NeRV) have emerged as a powerful paradigm for video representation, enabling direct mappings from frame indices to video frames. However, existing NeRV-based methods do not fully exploit temporal…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Jiancheng Zhao , Yifan Zhan , Qingtian Zhu , Mingze Ma , Muyao Niu , Zunian Wan , Xiang Ji , Yinqiang Zheng

Besides serving as prediction models, classification trees are useful for finding important predictor variables and identifying interesting subgroups in the data. These functions can be compromised by weak split selection algorithms that…

Applications · Statistics 2010-11-03 Wei-Yin Loh