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We propose and study a method for learning interpretable representations for the task of regression. Features are represented as networks of multi-type expression trees comprised of activation functions common in neural networks in addition…

Neural and Evolutionary Computing · Computer Science 2019-03-26 William La Cava , Tilak Raj Singh , James Taggart , Srinivas Suri , Jason H. Moore

Exploratory data analysis is crucial for developing and understanding classification models from high-dimensional datasets. We explore the utility of a new unsupervised tree ensemble called uncharted forest for visualizing class…

Machine Learning · Statistics 2018-07-03 Casey Kneale , Steven D. Brown

We present an unusual algorithm involving classification trees where two trees are grown in opposite directions so that they are matched at their leaves. This approach finds application in a new data mining task we formulate, called…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Deept Kumar , Naren Ramakrishnan , Malcolm Potts , Richard F. Helm

This paper addresses the challenge of viewing and navigating Bayesian networks as their structural size and complexity grow. Starting with a review of the state of the art of visualizing Bayesian networks, an area which has largely been…

Artificial Intelligence · Computer Science 2017-07-05 Clifford Champion , Charles Elkan

Automatic labelling of anatomical structures, such as coronary arteries, is critical for diagnosis, yet existing (non-deep learning) methods are limited by a reliance on prior topological knowledge of the expected tree-like structures. As…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Yadan Li , Mohammad Ali Armin , Simon Denman , David Ahmedt-Aristizabal

Decision trees are popular machine learning models that are simple to build and easy to interpret. Even though algorithms to learn decision trees date back to almost 50 years, key properties affecting their generalization error are still…

Machine Learning · Computer Science 2020-10-16 Jean-Samuel Leboeuf , Frédéric LeBlanc , Mario Marchand

The Lucid methods described by Olah et al. (2018) provide a way to inspect the inner workings of neural networks trained on image classification tasks using feature visualization. Such methods have generally been applied to networks trained…

Computer Vision and Pattern Recognition · Computer Science 2019-09-15 David Mott , Richard Tomsett

Estimating graphical model structure from high-dimensional and undersampled data is a fundamental problem in many scientific fields. Existing approaches, such as GLASSO, latent variable GLASSO, and latent tree models, suffer from high…

Machine Learning · Statistics 2019-09-18 Greg Ver Steeg , Hrayr Harutyunyan , Daniel Moyer , Aram Galstyan

Tree-based methods are powerful nonparametric techniques in statistics and machine learning. However, their effectiveness, particularly in finite-sample settings, is not fully understood. Recent applications have revealed their surprising…

Statistics Theory · Mathematics 2024-10-04 Hengrui Luo , Meng Li

As interdisciplinary science is flourishing because of materials informatics and additional factors; a systematic way is required for expressing knowledge and facilitating communication between scientists in various fields. A function…

Artificial Intelligence · Computer Science 2022-05-03 Hiori Kino , Hieu-Chi Dam , Takashi Miyake , Riichiro Mizoguchi

This work describes a novel methodology for automatic contour extraction from 2D images of 3D neurons (e.g. camera lucida images and other types of 2D microscopy). Most contour-based shape analysis methods can not be used to characterize…

Computer Vision and Pattern Recognition · Computer Science 2008-10-24 J. J. G. Leandro , R. M. Cesar , L. da F. Costa

When solving ill-posed inverse problems, one often desires to explore the space of potential solutions rather than be presented with a single plausible reconstruction. Valuable insights into these feasible solutions and their associated…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Elias Nehme , Rotem Mulayoff , Tomer Michaeli

It is of great interest to quantify the contributions of genetic variation to brain structure and function, which are usually measured by high-dimensional imaging data (e.g., magnetic resonance imaging). In addition to the variance, the…

Applications · Statistics 2020-05-05 Benjamin B. Risk , Hongtu Zhu

How can we effectively find the best structures in tree models? Tree models have been favored over complex black box models in domains where interpretability is crucial for making irreversible decisions. However, searching for a tree…

Machine Learning · Computer Science 2022-02-23 Jaemin Yoo , Lee Sael

The health and function of tissue rely on its vasculature network to provide reliable blood perfusion. Volumetric imaging approaches, such as multiphoton microscopy, are able to generate detailed 3D images of blood vessels that could…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 Mohammad Haft-Javaherian , Linjing Fang , Victorine Muse , Chris B. Schaffer , Nozomi Nishimura , Mert R. Sabuncu

We consider the analysis of high dimensional data given in the form of a matrix with columns consisting of observations and rows consisting of features. Often the data is such that the observations do not reside on a regular grid, and the…

Machine Learning · Statistics 2017-08-22 Gal Mishne , Ronen Talmon , Israel Cohen , Ronald R. Coifman , Yuval Kluger

Data augmentation is widely recognized for improving generalization in deep networks, yet its impact on the geometry of learned representations remains poorly understood. In this work, we characterize how different data augmentation…

Machine Learning · Computer Science 2026-05-18 Tianxiao He , Alex H. Williams , Sarah E. Harvey

Prior work on plant species classification predominantly focuses on building models from isolated plant attributes. Hence, there is a need for tools that can assist in species identification in the natural world. We present a novel and…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Dewald Homan , Johan A. du Preez

X-ray angiography is widely used in cardiac interventions to visualize coronary vessels, assess integrity, detect stenoses and guide treatment. We propose a framework for reconstructing 3D vessel trees from biplanar X-ray images which are…

Image and Video Processing · Electrical Eng. & Systems 2025-09-18 Ethan Koland , Lin Xi , Nadeev Wijesuriya , YingLiang Ma

Complexity of patterns is a key information for human brain to differ objects of about the same size and shape. Like other innate human senses, the complexity perception cannot be easily quantified. We propose a transparent and universal…

Pattern Formation and Solitons · Physics 2020-12-30 Andrey A. Bagrov , Ilia A. Iakovlev , Askar A. Iliasov , Mikhail I. Katsnelson , Vladimir V. Mazurenko