New Epistemological Perspectives on Quantitative Methods: An Example Using Topological Data Analysis
نویسندگان
چکیده
منابع مشابه
EPOS-Epistemological Perspectives on Simulation: An Introduction
There is strong evidence that computer simulation is increasingly recognized as an important analytical tool in many social sciences disciplines and fields. During the last ten years, a number of new journals, which are devoted to this field, have been founded and others have increased their influence (i.e., JASSS, CMOT, Social Science Computer Review, Autonomous Agent and Multi-Agent Systems, ...
متن کاملQuantitative Homotopy Theory in Topological Data Analysis
This paper lays the foundations of an approach to applying Gromov’s ideas on quantitative topology to topological data analysis. We introduce the “contiguity complex”, a simplicial complex of maps between simplicial complexes defined in terms of the combinatorial notion of contiguity. We generalize the Simplicial Approximation Theorem to show that the contiguity complex approximates the homotop...
متن کاملQuantitative geography: perspectives on spatial data analysis by A
The authors of this text are at the vanguard of progress in quantitative human geography. Their work provides a welcome and refreshing insight into current research. The authors, and their publishers, are to be congratulated on the high quality of this publication: both in terms of textual layout, and the quality of the figures. The book is organised into 10 chapters, of which the first and las...
متن کاملTopological Methods for Motion Data Analysis
We present a new method for analyzing imagebased motion data with topological methods for flow fields. A video sensor captures motion of subjects and yields discrete samples of velocity vectors in the image domain. We show how to construct a smooth, continuous, globally defined bidirectional flow field which evaluates determined vectors at given samples. We then apply a topological analysis of ...
متن کاملComparative methods for the analysis of gene-expression evolution: an example using yeast functional genomic data.
Understanding the evolution of gene function is a primary challenge of modern evolutionary biology. Despite an expanding database from genomic and developmental studies, we are lacking quantitative methods for analyzing the evolution of some important measures of gene function, such as gene-expression patterns. Here, we introduce phylogenetic comparative methods to compare different models of g...
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: Studies in Engineering Education
سال: 2021
ISSN: 2690-5450
DOI: 10.21061/see.18