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Persistent homology is a central methodology in topological data analysis that has been successfully implemented in many fields and is becoming increasingly popular and relevant. The output of persistent homology is a persistence diagram --…

Statistics Theory · Mathematics 2024-04-24 Konstantin Häberle , Barbara Bravi , Anthea Monod

A typical information extraction pipeline consists of token- or span-level classification models coupled with a series of pre- and post-processing scripts. In a production pipeline, requirements often change, with classes being added and…

Artificial Intelligence · Computer Science 2022-01-19 Ramon Pires , Fábio C. de Souza , Guilherme Rosa , Roberto A. Lotufo , Rodrigo Nogueira

Modern representation learning increasingly relies on unsupervised and self-supervised methods trained on large-scale unlabeled data. While these approaches achieve impressive generalization across tasks and domains, evaluating embedding…

As data science continues to grow in popularity, there will be an increasing need to make data science tools more scalable, flexible, and accessible. In particular, automated machine learning (AutoML) systems seek to automate the process of…

Neural and Evolutionary Computing · Computer Science 2016-08-01 Randal S. Olson , Jason H. Moore

Determining whether two graphs are isomorphic is a fundamental problem with practical applications in areas such as molecular chemistry or social network analysis, yet it remains a challenging task, with exact solutions often being…

Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their $0$-dimensional homology. While this area has been substantially studied, we present a new approach to…

Algebraic Topology · Mathematics 2023-10-03 Omer Bobrowski , Primoz Skraba

Topological data analysis offers a rich source of valuable information to study vision problems. Yet, so far we lack a theoretically sound connection to popular kernel-based learning techniques, such as kernel SVMs or kernel PCA. In this…

Machine Learning · Statistics 2014-12-24 Jan Reininghaus , Stefan Huber , Ulrich Bauer , Roland Kwitt

Deep learning-based segmentation and classification are crucial to large-scale biomedical imaging, particularly for 3D data, where manual analysis is impractical. Although many methods exist, selecting suitable models and tuning parameters…

Computer Vision and Pattern Recognition · Computer Science 2026-02-18 David Exler , Joaquin Eduardo Urrutia Gómez , Martin Krüger , Maike Schliephake , John Jbeily , Mario Vitacolonna , Rüdiger Rudolf , Markus Reischl

Deep learning methods have demonstrated outstanding performances on classification and regression tasks on homogeneous data types (e.g., image, audio, and text data). However, tabular data still pose a challenge, with classic machine…

Machine Learning · Computer Science 2023-11-15 Antonio Briola , Yuanrong Wang , Silvia Bartolucci , Tomaso Aste

Machine learning is disruptive. At the same time, machine learning can only succeed by collaboration among many parties in multiple steps naturally as pipelines in an eco-system, such as collecting data for possible machine learning…

Machine Learning · Computer Science 2021-08-19 Zicun Cong , Xuan Luo , Pei Jian , Feida Zhu , Yong Zhang

Recent developments in Deep Learning (DL) suggest a vast potential for Topology Optimization (TO). However, while there are some promising attempts, the subfield still lacks a firm footing regarding basic methods and datasets. We aim to…

Machine Learning · Computer Science 2023-06-07 Sören Dittmer , David Erzmann , Henrik Harms , Peter Maass

In data clustering, it is often desirable to find not just a single partition into clusters but a sequence of partitions that describes the data at different scales (or levels of coarseness). A natural problem then is to analyse and compare…

Algebraic Topology · Mathematics 2025-04-25 Juni Schindler , Mauricio Barahona

Solutions to the Algorithm Selection Problem (ASP) in machine learning face the challenge of high computational costs associated with evaluating various algorithms' performances on a given dataset. To mitigate this cost, the meta-learning…

Machine Learning · Computer Science 2025-09-12 Cynthia Moreira Maia , Lucas B. V. de Amorim , George D. C. Cavalcanti , Rafael M. O. Cruz

Systematic reviews, which entail the extraction of data from large numbers of scientific documents, are an ideal avenue for the application of machine learning. They are vital to many fields of science and philanthropy, but are very…

Computation and Language · Computer Science 2020-10-12 Seraphina Goldfarb-Tarrant , Alexander Robertson , Jasmina Lazic , Theodora Tsouloufi , Louise Donnison , Karen Smyth

Many topological data analysis (TDA) pipelines compute large collections of persistence diagrams, yet vectorizations and kernel methods discard the rank-induced implication relations among persistence intervals that are essential for…

Computational Geometry · Computer Science 2026-05-12 Charles Fanning , Mehmet Aktas

Topological data analysis is becoming increasingly relevant to support the analysis of unstructured data sets. A common assumption in data analysis is that the data set is a sample---not necessarily a uniform one---of some high-dimensional…

Algebraic Topology · Mathematics 2021-01-20 Bastian Rieck , Markus Banagl , Filip Sadlo , Heike Leitte

The traditional approach to distributed machine learning is to adapt learning algorithms to the network, e.g., reducing updates to curb overhead. Networks based on intelligent edge, instead, make it possible to follow the opposite approach,…

Networking and Internet Architecture · Computer Science 2022-07-07 Francesco Malandrino , Carla Fabiana Chiasserini , Nuria Molner , Antonio De La Oliva

The persistent homology pipeline includes the reduction of a, so-called, boundary matrix. We extend the work of Bauer et al. (2014) and Chen et al. (2011) where they show how to use dependencies in the boundary matrix to adapt the reduction…

Algebraic Topology · Mathematics 2017-08-17 Rodrigo Mendoza-Smith , Jared Tanner

Automated machine learning makes it easier for data scientists to develop pipelines by searching over possible choices for hyperparameters, algorithms, and even pipeline topologies. Unfortunately, the syntax for automated machine learning…

Machine Learning · Computer Science 2020-07-07 Guillaume Baudart , Martin Hirzel , Kiran Kate , Parikshit Ram , Avraham Shinnar

Topological deep learning is a formalism that is aimed at introducing topological language to deep learning for the purpose of utilizing the minimal mathematical structures to formalize problems that arise in a generic deep learning…

Machine Learning · Computer Science 2021-02-17 Mustafa Hajij , Kyle Istvan