Fitting smoothing splines to time-indexed, noisy points on nonlinear manifolds
نویسندگان
چکیده
Article history: Received 25 February 2011 Received in revised form 19 July 2011 Accepted 14 September 2011 Available online xxxx
منابع مشابه
Kernel PLS Smoothing for Nonparametric Regression Curve Fitting: an Application to Event Related Potentials
We present a novel smoothing approach to nonparametric regression curve fitting. This is based on kernel partial least squares (PLS) regression in reproducing kernel Hilbert space. It is our interest to apply the methodology for smoothing experimental data, such as brain event related potentials, where some level of knowledge about areas of different degrees of smoothness, local inhomogeneities...
متن کاملLocal Linear Smoothing for Nonlinear Manifold Learning
In this paper, we develop methods for outlier removal and noise reduction based on weighted local linear smoothing for a set of noisy points sampled from a nonlinear manifold. The methods can be used by manifold learning methods such as Isomap, LLE and LTSA as a preprocessing procedure so as to obtain a more accurate reconstruction of the underlying nonlinear manifolds. Weighted principal compo...
متن کاملL1 Splines for Robust, Simple, and Fast Smoothing of Grid Data
Abstract: Splines are a popular and attractive way of smoothing noisy data. Computing splines involves minimizing a functional which is a linear combination of a fitting term and a regularization term. The former is classically computed using a (weighted) L2 norm while the latter ensures smoothness. Thus, when dealing with grid data, the optimization can be solved very efficiently using the DCT...
متن کاملLocal Smoothing for Manifold Learning
We propose methods for outlier handling and noise reduction using weighted local linear smoothing for a set of noisy points sampled from a nonlinear manifold. The methods can be used by manifold learning methods such as Isomap, LLE and LTSA as a preprocessing step to obtain a more accurate reconstruction of the underlying nonlinear manifolds. Weighted PCA is used as a building block for our met...
متن کاملTHE FLORIDA STATE UNIVERSITY COLLEGE OF ARTS AND SCIENCE STATISTICAL ANALYSIS OF TRAJECTORIES ON RIEMANNIAN MANIFOLDS By
This thesis consists of two distinct topics. First, we present a framework for estimation and analysis of trajectories on Riemananian manifolds. Second, we propose a framework of detecting, classifying, and estimating shapes in point cloud data. This thesis mainly focuses on statistical analysis of trajectories that take values on nonlinear manifolds. There are many difficulties when analyzing ...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Image Vision Comput.
دوره 30 شماره
صفحات -
تاریخ انتشار 2012