Learning Canonical Correlations

نویسندگان

  • Hans Knutsson
  • Magnus Borga
  • Tomas Landelius
چکیده

This paper presents a novel learning algorithm that nds the linear combination of one set of multi-dimensional variates that is the best predictor, and at the same time nds the linear combination of another set which is the most predictable. This relation is known as the canonical correlation and has the property of being invariant with respect to a ne transformations of the two sets of variates. The algorithm successively nds all the canonical correlations beginning with the largest one.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Learning Discriminative Canonical Correlations for Object Recognition with Image Sets

We address the problem of comparing sets of images for object recognition, where the sets may represent arbitrary variations in an object’s appearance due to changing camera pose and lighting conditions. The concept of Canonical Correlations (also known as principal angles) can be viewed as the angles between two subspaces. As a way of comparing sets of vectors or images, canonical correlations...

متن کامل

Transfer Discriminant-Analysis of Canonical Correlations for View-Transfer Action Recognition

A novel transfer learning approach, referred to as Transfer Discriminant-Analysis of Canonical Correlations (Transfer DCC), is proposed to recognize human actions from one view (target view) via the discriminative model learned from another view (source view). To cope with the considerable change between feature distributions of source view and target view, Transfer DCC includes an effective no...

متن کامل

Canonical Autocorrelation Analysis

We present an extension of sparse Canonical Correlation Analysis (CCA) designed for finding multiple-tomultiple linear correlations within a single set of variables. Unlike CCA, which finds correlations between two sets of data where the rows are matched exactly but the columns represent separate sets of variables, the method proposed here, Canonical Autocorrelation Analysis (CAA), finds multiv...

متن کامل

Evaluation of Canonical Correlations between Masticatory Muscle Orientation and Craniodentofacial Morphology in 10-17 Year_Olds

Objectives: Different theories have been suggested to define factors involved in skeletal and craniofacial morphology. Many of these theories explain that the bone morphology is the result of the bone tissue capability to adapt in response to biomechanical forces exerted during growth. Also, it seems logical to hypothesize that there is a relationship between biomechanical connections of muscle...

متن کامل

SemiCCA: Ef cient semi-supervised learning of canonical correlations

—Canonical correlation analysis (CCA) is a powerful tool for analyzing multi-dimensional paired data. However, CCA tends to perform poorly when the number of paired samples is limited, which is often the case in practice. To cope with this problem, we propose a semi-supervised variant of CCA named “semiCCA”that allows us to incorporate additional unpaired samples for mitigating over ttng. The p...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997