Procrustes-based distances for exploring between-matrices similarity

نویسندگان

چکیده

Abstract The statistical shape analysis called Procrustes minimizes the Frobenius distance between matrices by similarity transformations. method returns a set of optimal orthogonal matrices, which project each matrix into common space. This manuscript presents two types distances derived from for exploring between-matrices similarity. first one focuses on residuals analysis, i.e., residual-based metric. In contrast, second exploits fitted rotational-based Thanks to these distances, similarity-based techniques such as multidimensional scaling can be applied visualize and explore patterns similarities among observations. proposed result in being helpful functional magnetic resonance imaging (fMRI) data analysis. brain activation measured over space time represented matrix. sample subjects—i.e., matrices—revealed groups individuals sharing neural activation. Finally, is useful several contexts when aim analyze high-dimensional affected misalignment.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Computing Similarity Distances Between Rankings

We address the problem of computing distances between permutations that take into account similarities between elements of the ground set dictated by a graph. The problem may be summarized as follows: Given two permutations and a positive cost function on transpositions that depends on the similarity of the elements involved, find a smallest cost sequence of transpositions that converts one per...

متن کامل

The Procrustes Problem for Orthogonal Stiefel Matrices

In this paper we consider the Procrustes problem on the manifold of orthogonal Stiefel matrices. Given matrices A 2 R mk , B 2 R mp , m p k, we seek the minimum of kA?BQk 2 for all matrices Q 2 R pk , Q T Q = I kk. We introduce a class of relaxation methods for generating minimizing sequences and ooer a geometric interpretation of these methods. Results of numerical experiments illustrating the...

متن کامل

Optimal Scoring Matrices for Estimating Distances Between Aligned Sequences

Sequence alignment is typically the rst step in many research areas of bioinfor-matics, where some form of score or distance is derived. Those scores and distances are often used for evolutionary tree construction, multiple sequence alignments, all-against-all comparisons of whole genomes and many other tasks. Since those scores and distances are the basis for further studies, it is important t...

متن کامل

Generalized Procrustes Analysis: a Tool for Exploring Aggregates and Persons

Gower (1975) introduced Generalized Procrustes Analysis (GPA) as a multivariate statistical technique for analyzing three-dimensional data matrices. The current paper presents a non-technical introduction to the logic underlying GPA and then presents a completely worked example using genuine data. Specifically, self and peer ratings obtained from students attending a Summer Science Academy are ...

متن کامل

ذخیره 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: Statistical Methods and Applications

سال: 2023

ISSN: ['1613-981X', '1618-2510']

DOI: https://doi.org/10.1007/s10260-023-00689-y