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Big data refers to large and complex data sets that, under existing approaches, exceed the capacity and capability of current compute platforms, systems software, analytical tools and human understanding. Numerous lessons on the scalability…

We introduce a very general approach to the analysis of signals from their noisy measurements from the perspective of Topological Data Analysis (TDA). While TDA has emerged as a powerful analytical tool for data with pronounced topological…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Juan Manuel Miramont , Kin Aun Tan , Soumendu Sundar Mukherjee , Rémi Bardenet , Subhroshekhar Ghosh

Network Traffic Monitoring and Analysis (NTMA) represents a key component for network management, especially to guarantee the correct operation of large-scale networks such as the Internet. As the complexity of Internet services and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-11 Alessandro D'Alconzo , Idilio Drago , Andrea Morichetta , Marco Mellia , Pedro Casas

Over the last two decades, topological data analysis (TDA) has emerged as a very powerful data analytic approach which can deal with various data modalities of varying complexities. One of the most commonly used tools in TDA is persistent…

Methodology · Statistics 2025-12-08 Anass El Yaagoubi Bourakna , Moo K. Chung , Hernando Ombao

Various kinds of data are routinely represented as discrete probability distributions. Examples include text documents summarized by histograms of word occurrences and images represented as histograms of oriented gradients. Viewing a…

Computational Geometry · Computer Science 2019-03-29 Herbert Edelsbrunner , Ziga Virk , Hubert Wagner

Topological data analysis is a relatively new branch of machine learning that excels in studying high dimensional data, and is theoretically known to be robust against noise. Meanwhile, data objects with mixed numeric and categorical…

Algebraic Topology · Mathematics 2020-06-15 Chengyuan Wu , Carol Anne Hargreaves

Currently, the world is witnessing a mounting avalanche of data due to the increasing number of mobile network subscribers, Internet websites, and online services. This trend is continuing to develop in a quick and diverse manner in the…

Networking and Internet Architecture · Computer Science 2018-02-12 Mohammed S. Hadi , Ahmed Q. Lawey , Taisir E. H. El-Gorashi , Jaafar M. H. Elmirghani

Current generation of Internet-based services are typically hosted on large data centers that take the form of warehouse-size structures housing tens of thousands of servers. Continued availability of a modern data center is the result of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Alkida Balliu , Dennis Olivetti , Ozalp Babaoglu , Moreno Marzolla , Alina Sîrbu

The exponential growth of big data has transformed how large organisations leverage information to drive innovation, optimise processes, and maintain competitive advantages. However, managing and extracting insights from vast, heterogeneous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-09 Fathima Nuzla Ismail , Abira Sengupta , Shanika Amarasoma

The Web graph is a giant social network whose properties have been measured and modeled extensively in recent years. Most such studies concentrate on the graph structure alone, and do not consider textual properties of the nodes.…

Information Retrieval · Computer Science 2018-02-15 Soumen Chakrabarti , Mukul M. Joshi , Kunal Punera , David M. Pennock

Modern data centers that provide Internet-scale services are stadium-size structures housing tens of thousands of heterogeneous devices (server clusters, networking equipment, power and cooling infrastructures) that must operate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-07 Alkida Balliu , Dennis Olivetti , Ozalp Babaoglu , Moreno Marzolla , Alina Sîrbu

Citation networks can reveal many important information regarding the development of science and the relationship between different areas of knowledge. Thus, many studies have analyzed the topological properties of such networks.…

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

Bigdata is a dataset of which size is beyond the ability of handling a valuable raw material that can be refined and distilled into valuable specific insights. Compact data is a method that optimizes the big dataset that gives best assets…

Databases · Computer Science 2020-12-29 Song-Kyoo , Kim

Increasing amounts of structured data can provide value for research and business if the relevant data can be located. Often the data is in a data lake without a consistent schema, making locating useful data challenging. Table search is a…

Databases · Computer Science 2023-08-29 Michael Glass , Sugato Bagchi , Oktie Hassanzadeh , Gaetano Rossiello , Alfio Gliozzo

Finding concepts in large clinical ontologies can be challenging when queries use different vocabularies. A search algorithm that overcomes this problem is useful in applications such as concept normalisation and ontology matching, where…

Computation and Language · Computer Science 2022-01-04 Duy-Hoa Ngo , Madonna Kemp , Donna Truran , Bevan Koopman , Alejandro Metke-Jimenez

We present algorithms for topic modeling based on the geometry of cross-document word-frequency patterns. This perspective gains significance under the so called separability condition. This is a condition on existence of novel-words that…

Machine Learning · Statistics 2013-03-19 Weicong Ding , Mohammad H. Rohban , Prakash Ishwar , Venkatesh Saligrama

Big data is data that exceeds the processing capacity of traditional databases. The data is too big to be processed by a single machine. New and innovative methods are required to process and store such large volumes of data. This paper…

Other Computer Science · Computer Science 2014-04-17 Richa Gupta , Sunny Gupta , Anuradha Singhal

Topological Data Analysis (TDA) is a recent and growing branch of statistics devoted to the study of the shape of the data. In this work we investigate the predictive power of TDA in the context of supervised learning. Since topological…

Machine Learning · Statistics 2017-09-22 Tullia Padellini , Pierpaolo Brutti

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
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