Alignments of Manifold Sections of Different Dimensions in Manifold Learning

نویسندگان

  • Qiang Ye
  • Weifeng Zhi
چکیده

We consider an alignment algorithm for reconstructing global coordinates from local coordinates constructed for sections of manifolds. We show that, under certain conditions, the alignment algorithm can successfully recover global coordinates even when local neighborhoods have different dimensions. Our results generalize an earlier analysis to allow alignment of sections of different dimensions. We also apply our result to a semisupervised learning problem.

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

بهبود مدل تفکیک‌کننده منیفلدهای غیرخطی به‌منظور بازشناسی چهره با یک تصویر از هر فرد

Manifold learning is a dimension reduction method for extracting nonlinear structures of high-dimensional data. Many methods have been introduced for this purpose. Most of these methods usually extract a global manifold for data. However, in many real-world problems, there is not only one global manifold, but also additional information about the objects is shared by a large number of manifolds...

متن کامل

آموزش منیفلد با استفاده از تشکیل گراف منیفلدِ مبتنی بر بازنمایی تنک

In this paper, a sparse representation based manifold learning method is proposed. The construction of the graph manifold in high dimensional space is the most important step of the manifold learning methods that is divided into local and gobal groups. The proposed graph manifold extracts local and global features, simultanstly. After construction the sparse representation based graph manifold,...

متن کامل

Video Subject Inpainting: A Posture-Based Method

Despite recent advances in video inpainting techniques, reconstructing large missing regions of a moving subject while its scale changes remains an elusive goal. In this paper, we have introduced a scale-change invariant method for large missing regions to tackle this problem. Using this framework, first the moving foreground is separated from the background and its scale is equalized. Then, a ...

متن کامل

Intake Manifold Flow Assessment on a 3-cylinder Natural Aspirated Downsized Engine Using CFD and GT-SUITE

In this paper the intake manifold as the most effective part on engine’s volumetrice efficiency is in vestigated in detail with emphesizing on flow behavior and characterestics. The eight different design have been  prepared  and  imported to CFD software. Five objective functions for investigation of flow have been connsidered and applied in TOPSIS with different weights. Mass flow rate,massfl...

متن کامل

A Geometry Preserving Kernel over Riemannian Manifolds

Abstract- Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds. Classical kernels implicitly project data to high dimensional feature space without considering the intrinsic geometry of data points. ...

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 2010