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Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is…

Machine Learning · Computer Science 2025-07-15 Lander Ver Hoef , Henry Adams , Emily J. King , Imme Ebert-Uphoff

Explainable machine learning (XML) has emerged as a major challenge in artificial intelligence (AI). Although black-box models such as Deep Neural Networks and Gradient Boosting often exhibit exceptional predictive accuracy, their lack of…

Methodology · Statistics 2024-06-18 Evgenii Kuriabov , Jia Li

Language models are often evaluated with scalar metrics like accuracy, but such measures fail to capture how models internally represent ambiguity, especially when human annotators disagree. We propose a topological perspective to analyze…

Computation and Language · Computer Science 2026-04-30 Nisrine Rair , Alban Goupil , Valeriu Vrabie , Emmanuel Chochoy

In recent years, machine learning (ML) has become a key enabling technology for the sciences and industry. Especially through improvements in methodology, the availability of large databases and increased computational power, today's ML…

Artificial Intelligence · Computer Science 2019-09-27 Wojciech Samek , Klaus-Robert Müller

This paper surveys visual methods of explainability of Machine Learning (ML) with focus on moving from quasi-explanations that dominate in ML to domain-specific explanation supported by granular visuals. ML interpretation is fundamentally a…

Machine Learning · Computer Science 2021-06-15 Boris Kovalerchuk , Muhammad Aurangzeb Ahmad , Ankur Teredesai

With the rapid adoption of machine learning techniques for large-scale applications in science and engineering comes the convergence of two grand challenges in visualization. First, the utilization of black box models (e.g., deep neural…

Understanding the deep representations of complex networks is an important step of building interpretable and trustworthy machine learning applications in the age of internet. Global surrogate models that approximate the predictions of a…

Machine Learning · Computer Science 2022-03-15 Baihan Lin

We introduce Matched Machine Learning, a framework that combines the flexibility of machine learning black boxes with the interpretability of matching, a longstanding tool in observational causal inference. Interpretability is paramount in…

Methodology · Statistics 2023-04-05 Marco Morucci , Cynthia Rudin , Alexander Volfovsky

Topological Data Analysis (TDA) has been praised by researchers for its ability to capture intricate shapes and structures within data. TDA is considered robust in handling noisy and high-dimensional datasets, and its interpretability is…

Machine Learning · Computer Science 2024-01-10 Funmilola Mary Taiwo , Umar Islambekov , Cuneyt Gurcan Akcora

Increasingly, malwares are becoming complex and they are spreading on networks targeting different infrastructures and personal-end devices to collect, modify, and destroy victim information. Malware behaviors are polymorphic, metamorphic,…

Cryptography and Security · Computer Science 2022-11-09 Lionel Nganyewou Tidjon , Foutse Khomh

Automated decision making is used routinely throughout our everyday life. Recommender systems decide which jobs, movies, or other user profiles might be interesting to us. Spell checkers help us to make good use of language. Fraud detection…

Machine Learning · Computer Science 2020-07-15 Alexander Jung , Pedro H. J. Nardelli

Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub

The widespread adoption of black-box models in Artificial Intelligence has enhanced the need for explanation methods to reveal how these obscure models reach specific decisions. Retrieving explanations is fundamental to unveil possible…

Artificial Intelligence · Computer Science 2021-02-26 Francesco Bodria , Fosca Giannotti , Riccardo Guidotti , Francesca Naretto , Dino Pedreschi , Salvatore Rinzivillo

Explainability techniques for data-driven predictive models based on artificial intelligence and machine learning algorithms allow us to better understand the operation of such systems and help to hold them accountable. New transparency…

Machine Learning · Computer Science 2022-09-09 Kacper Sokol , Alexander Hepburn , Raul Santos-Rodriguez , Peter Flach

Machine learning (ML) is believed to be an effective and efficient tool to build reliable prediction model or extract useful structure from an avalanche of data. However, ML is also criticized by its difficulty in interpretation and…

Human-Computer Interaction · Computer Science 2016-10-19 Teng Lee , James Johnson , Steve Cheng

Neural networks encode inputs as high-dimensional vectors, known as representations, that capture how models process data by encoding task-relevant structure and semantics. Representation alignment refers to the degree to which different…

Computational Geometry · Computer Science 2026-05-26 Xinyuan Yan , Rita Sevastjanova , Mennatallah El-Assady , Bei Wang

Data visualizations like charts are fundamental tools for quantitative analysis and decision-making across fields, requiring accurate interpretation and mathematical reasoning. The emergence of Multimodal Large Language Models (MLLMs)…

Artificial Intelligence · Computer Science 2025-08-26 Anku Rani , Aparna Garimella , Apoorv Saxena , Balaji Vasan Srinivasan , Paul Pu Liang

Software libraries for Topological Data Analysis (TDA) offer limited support for interactive visualization. Most libraries only allow to visualize topological descriptors (e.g., persistence diagrams), and lose the connection with the…

Graphics · Computer Science 2022-04-22 Xueyi Bao , Guoxi Liu , Federico Iuricich

Explaining deep learning models is essential for clinical integration of medical image analysis systems. A good explanation highlights if a model depends on spurious features that undermines generalization and harms a subset of patients or,…

Image and Video Processing · Electrical Eng. & Systems 2025-08-18 Yoni Schirris , Eric Marcus , Jonas Teuwen , Hugo Horlings , Efstratios Gavves

In topological data analysis and visualization, topological descriptors such as persistence diagrams, merge trees, contour trees, Reeb graphs, and Morse-Smale complexes play an essential role in capturing the shape of scalar field data. We…

Human-Computer Interaction · Computer Science 2024-06-06 Lin Yan , Talha Bin Masood , Raghavendra Sridharamurthy , Farhan Rasheed , Vijay Natarajan , Ingrid Hotz , Bei Wang