A statistical approach to persistent homology
نویسندگان
چکیده
منابع مشابه
A Statistical Approach to Persistent Homology
Assume that a finite set of points is randomly sampled from a subspace of a metric space. Recent advances in computational topology have provided several approaches to recovering the geometric and topological properties of the underlying space. In this paper we take a statistical approach to this problem. We assume that the data is randomly sampled from an unknown probability distribution. We d...
متن کاملStatistical Inference For Persistent Homology
Noise A 1-confidence interval for the persistence diagram consists of an estimate and such that The 1st Persistent Landscape (Bubenik, 2012) is the maximum contour of the triangles: We want a confidence band for .-Compute c, the 1-quantile of the bootstrapped .
متن کاملA statistical approach to classify Skype traffic
Abstract- Skype is one of the most powerful and high-quality chat tools that allows its users to use of many services such as: transferring audio, sending messages, video conferencing and audio for free. Skype traffic has a lot of Internet traffic. Hence, Internet service providers need to identify traffic to do the quality of service and network management. On the other hand, Skype developers ...
متن کاملIntroduction to Persistent Homology
This video presents an introduction to persistent homology, aimed at a viewer who has mathematical aptitude but not necessarily knowledge of algebraic topology. Persistent homology is an algebraic method of discerning the topological features of complex data, which in recent years has found applications in fields such as image processing and biological systems. Using smooth animations, the vide...
متن کاملA Generalized Linear Statistical Model Approach to Monitor Profiles
Statistical process control methods for monitoring processes with univariate ormultivariate measurements are used widely when the quality variables fit to known probabilitydistributions. Some processes, however, are better characterized by a profile or a function of qualityvariables. For each profile, it is assumed that a collection of data on the response variable along withthe values of the c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2007
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2007.v9.n2.a12