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With the growing adoption of AI-based systems across everyday life, the need to understand their decision-making mechanisms is correspondingly increasing. The level at which we can trust the statistical inferences made from AI-based…

Machine Learning · Statistics 2024-04-15 Adam Spannaus , Heidi A. Hanson , Lynne Penberthy , Georgia Tourassi

Topological Data Analysis (TDA) is a recent approach to analyze data sets from the perspective of their topological structure. Its use for time series data has been limited to the field of financial time series primarily and as a method for…

Machine Learning · Computer Science 2019-06-18 Rodrigo Rivera-Castro , Polina Pilyugina , Alexander Pletnev , Ivan Maksimov , Wanyi Wyz , Evgeny Burnaev

Topological Data Analysis (TDA) has emerged as a powerful framework for extracting robust, multiscale, and interpretable features from complex molecular data for artificial intelligence (AI) modeling and topological deep learning (TDL).…

Biomolecules · Quantitative Biology 2025-09-23 JunJie Wee , Jian Jiang

Automatic side-by-side evaluation has emerged as a promising approach to evaluating the quality of responses from large language models (LLMs). However, analyzing the results from this evaluation approach raises scalability and…

Topological Data Analysis (TDA) is a recent approach to analyze data sets from the perspective of their topological structure. Its use for time series data has been limited. In this work, a system developed for a leading provider of cloud…

Machine Learning · Computer Science 2020-09-09 Rodrigo Rivera-Castro , Aleksandr Pletnev , Polina Pilyugina , Grecia Diaz , Ivan Nazarov , Wanyi Zhu , Evgeny Burnaev

The rapid evolution of machine learning (ML) has led to the widespread adoption of complex "black box" models, such as deep neural networks and ensemble methods. These models exhibit exceptional predictive performance, making them…

Machine Learning · Computer Science 2025-03-28 Moncef Garouani , Josiane Mothe , Ayah Barhrhouj , Julien Aligon

Topological Data Analysis (TDA) can broadly be described as a collection of data analysis methods that find structure in data. This includes: clustering, manifold estimation, nonlinear dimension reduction, mode estimation, ridge estimation…

Methodology · Statistics 2016-09-28 Larry Wasserman

Topological Data Analysis (TDA) is a novel statistical technique, particularly powerful for the analysis of large and high dimensional data sets. Much of TDA is based on the tool of persistent homology, represented visually via persistence…

Applications · Statistics 2017-11-07 Sarit Agami , Robert J. Adler

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

Machine Learning · Computer Science 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

Topology optimization (TO) is a method of deriving an optimal design that satisfies a given load and boundary conditions within a design domain. This method enables effective design without initial design, but has been limited in use due to…

Machine Learning · Computer Science 2023-06-06 Seungyeon Shin , Dongju Shin , Namwoo Kang

Topological data analysis (TDA), while abstract, allows a characterization of time-series data obtained from nonlinear and complex dynamical systems. Though it is surprising that such an abstract measure of structure - counting pieces and…

Computational Geometry · Computer Science 2020-01-07 Nicole Sanderson , Elliott Shugerman , Samantha Molnar , James D. Meiss , Elizabeth Bradley

Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

Machine Learning · Computer Science 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

Comparison of data representations is a complex multi-aspect problem that has not enjoyed a complete solution yet. We propose a method for comparing two data representations. We introduce the Representation Topology Divergence (RTD),…

Machine Learning · Computer Science 2023-05-05 Serguei Barannikov , Ilya Trofimov , Nikita Balabin , Evgeny Burnaev

The vast majority of research on explainability focuses on post-explainability rather than explainable modeling. Namely, an explanation model is derived to explain a complex black box model built with the sole purpose of achieving the…

Machine Learning · Computer Science 2020-02-14 Gabriel Terejanu , Jawad Chowdhury , Rezaur Rashid , Asif Chowdhury

The need for transparency of predictive systems based on Machine Learning algorithms arises as a consequence of their ever-increasing proliferation in the industry. Whenever black-box algorithmic predictions influence human affairs, the…

Machine Learning · Computer Science 2020-02-11 Kacper Sokol , Peter Flach

Evaluating the alignment between textual prompts and generated images is critical for ensuring the reliability and usability of text-to-image (T2I) models. However, most existing evaluation methods rely on coarse-grained metrics or static…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Fulin Shi , Wenyi Xiao , Bin Chen , Liang Din , Leilei Gan

The prediction of streamflows and other environmental variables in unmonitored basins is a grand challenge in hydrology. Recent machine learning (ML) models can harness vast datasets for accurate predictions at large spatial scales.…

Machine Learning · Computer Science 2024-10-29 Jared D. Willard , Fabio Ciulla , Helen Weierbach , Vipin Kumar , Charuleka Varadharajan

In recent years, a wide variety of automated machine learning (AutoML) methods have been proposed to search and generate end-to-end learning pipelines. While these techniques facilitate the creation of models for real-world applications,…

Human-Computer Interaction · Computer Science 2020-09-07 Jorge Piazentin Ono , Sonia Castelo , Roque Lopez , Enrico Bertini , Juliana Freire , Claudio Silva

Topological mapping offers a compact and robust representation for navigation, but progress in the field is hindered by the lack of standardized evaluation metrics, datasets, and protocols. Existing systems are assessed using different…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Jiaming Wang , Diwen Liu , Jizhuo Chen , Harold Soh

As machine learning (ML) systems become increasingly widespread, it is necessary to audit these systems for biases prior to their deployment. Recent research has developed algorithms for effectively identifying intersectional bias in the…

Human-Computer Interaction · Computer Science 2022-06-28 David Munechika , Zijie J. Wang , Jack Reidy , Josh Rubin , Krishna Gade , Krishnaram Kenthapadi , Duen Horng Chau