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Topological data analysis is an approach to study shape of a data set by means of topology. Its main object of study is the persistence diagram, which represents the topological features of the data set at different spatial resolutions.…

Performing data augmentation for learning deep neural networks is well known to be important for training visual recognition systems. By artificially increasing the number of training examples, it helps reducing overfitting and improves…

计算机视觉与模式识别 · 计算机科学 2018-07-20 Nikita Dvornik , Julien Mairal , Cordelia Schmid

Measuring the similarity of short written contexts is a fundamental problem in Natural Language Processing. This article provides a unifying framework by which short context problems can be categorized both by their intended application and…

计算与语言 · 计算机科学 2010-10-19 Ted Pedersen

Time series data are prevalent across various domains and often encompass large datasets containing multiple time-dependent features in each sample. Exploring time-varying data is critical for data science practitioners aiming to understand…

图形学 · 计算机科学 2025-09-26 Evandro S. Ortigossa , Fábio F. Dias , Diego C. Nascimento , Luis Gustavo Nonato

The growing interest for high dimensional and functional data analysis led in the last decade to an important research developing a consequent amount of techniques. Parallelized algorithms, which consist in distributing and treat the data…

统计理论 · 数学 2017-10-24 Antoine Godichon-Baggioni , Sofiane Saadane

This paper reviews recent advances in big data optimization, providing the state-of-art of this emerging field. The main focus in this review are optimization techniques being applied in big data analysis environments. Integer linear…

神经与进化计算 · 计算机科学 2021-02-04 Ricardo Di Pasquale , Javier Marenco

Citation analysis of the scientific literature has been used to study and define disciplinary boundaries, to trace the dissemination of knowledge, and to estimate impact. Co-citation, the frequency with which pairs of publications are…

Forecasting is a critical task in decision-making across numerous domains. While historical numerical data provide a start, they fail to convey the complete context for reliable and accurate predictions. Human forecasters frequently rely on…

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

机器学习 · 统计学 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

A short survey on applications of algebraic geometry in topological data analysis.

代数几何 · 数学 2020-01-08 Paul Breiding

Software development is a complex activity which depends on diverse technologies and people's expertise. The approaches to developing software highly depend on these different characteristics, which are the context developers are subject…

软件工程 · 计算机科学 2019-10-21 Glaucia Melo , Paulo Alencar , Don Cowan

Finding a set of empirical criteria fulfilled by any theory satisfying the generalized notion of noncontextuality is a challenging task of both operational and foundational importance. This work presents a methodology for constructing the…

量子物理 · 物理学 2026-05-04 Soumyabrata Hazra , Debashis Saha , Anubhav Chaturvedi , Subhankar Bera , A. S. Majumdar

Variable importance, interaction measures, and partial dependence plots are important summaries in the interpretation of statistical and machine learning models. In this paper we describe new visualization techniques for exploring these…

统计计算 · 统计学 2021-10-12 Alan Inglis , Andrew Parnell , Catherine Hurley

Cross-view geo-localization has garnered notable attention in the realm of computer vision, spurred by the widespread availability of copious geotagged datasets and the advancements in machine learning techniques. This paper provides a…

计算机视觉与模式识别 · 计算机科学 2024-12-06 Abhilash Durgam , Sidike Paheding , Vikas Dhiman , Vijay Devabhaktuni

Retrieving cohesive subgraphs in networks is a fundamental problem in social network analysis and graph data management. These subgraphs can be used for marketing strategies or recommendation systems. Despite the introduction of numerous…

社会与信息网络 · 计算机科学 2025-07-16 Dahee Kim , Song Kim , Jeongseon Kim , Junghoon Kim , Kaiyu Feng , Sungsu Lim , Jungeun Kim

We begin by summarizing the relevance and importance of inductive analytics based on the geometry and topology of data and information. Contemporary issues are then discussed. These include how sampling data for representativity is…

计算机与社会 · 计算机科学 2017-05-25 Fionn Murtagh

The value proposition of a dataset often resides in the implicit interconnections or explicit relationships (patterns) among individual entities, and is often modeled as a graph. Effective visualization of such graphs can lead to key…

数据库 · 计算机科学 2017-02-14 Yang Zhang , Yusu Wang , Srinivasan Parthasarathy

The increasing capture and analysis of large-scale longitudinal health data offer opportunities to improve healthcare and advance medical understanding. However, a critical gap exists between (a) -- the observation of patterns and…

人机交互 · 计算机科学 2025-08-26 Arran Zeyu Wang , David Borland , David Gotz

While there have been significant gains in the field of automated video description, the generalization performance of automated description models to novel domains remains a major barrier to using these systems in the real world. Most…

计算机视觉与模式识别 · 计算机科学 2023-01-16 David M. Chan , Austin Myers , Sudheendra Vijayanarasimhan , David A. Ross , Bryan Seybold , John F. Canny

During the past two decades there has been a lot of interest in developing statistical depth notions that generalize the univariate concept of ranking to multivariate data. The notion of depth has also been extended to regression models and…

统计方法学 · 统计学 2015-08-18 Peter J. Rousseeuw , Mia Hubert
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