Automatic Femoral Deformity Analysis Based on the Constrained Local Models and Hough Forest

As we know the spherical functions are traditionally used in geodesy for modeling the gravitational field of the Earth. But the gravitational field is not stationary either in space or in time (but the latter is beyond the scope of this article) and can change quite strongly in various directions. By its nature, the spherical functions do not fully display the local features of the field. With this in mind it is advisable to use spatially localized basis functions. So it is convenient to divide the region under consideration into segments with a nearly stationary field. The complexity of the field in each segment can be characterized by means of an anisotropic matrix resulting from the covariance analysis of the field. If we approach the modeling in this way there can arise a problem of poor coherence of local models on segments’ borders. To solve the above mentioned problem it is proposed in this article to use new basis functions with Mahalanobis metric instead of the usual Euclidean distance. The Mahalanobis metric and the quadratic form generalizing this metric enables us to take into account the structure of the field when determining the distance between the points and to make the modeling process continuous.

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Compensating for Context by Learning Local Models of Perception Performance

2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) ◽

10.1109/iros.2018.8593778 ◽

2018 ◽

Author(s):

Humphrey Hu ◽

George Kantor

Keyword(s):

Local Models

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On a conjecture of Pappas and Rapoport about the standard local model for GL_d

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crelle-2020-0030 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Dinakar Muthiah ◽

Alex Weekes ◽

Oded Yacobi

Keyword(s):

Type A ◽

Positive Answer ◽

Local Model ◽

Schubert Varieties ◽

Shimura Varieties ◽

Local Models ◽

Full Generality ◽

Frobenius Splitting ◽

Affine Grassmannians ◽

Main Ideas

AbstractIn their study of local models of Shimura varieties for totally ramified extensions, Pappas and Rapoport posed a conjecture about the reducedness of a certain subscheme of {n\times n} matrices. We give a positive answer to their conjecture in full generality. Our main ideas follow naturally from two of our previous works. The first is our proof of a conjecture of Kreiman, Lakshmibai, Magyar, and Weyman on the equations defining type A affine Grassmannians. The second is the work of the first two authors and Kamnitzer on affine Grassmannian slices and their reduced scheme structure. We also present a version of our argument that is almost completely elementary: the only non-elementary ingredient is the Frobenius splitting of Schubert varieties.

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Operating procedure synthesis using local models and distributed goals

Computers & Chemical Engineering ◽

10.1016/0098-1354(88)87024-8 ◽

1988 ◽

Vol 12 (9-10) ◽

pp. 1023-1034 ◽

Cited By ~ 30

Author(s):

R.H. Fusillo ◽

G.J. Powers

Keyword(s):

Operating Procedure ◽

Local Models

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Modular Distributed Fault Diagnosis for Adaptive Structures using Local Models

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.862 ◽

2020 ◽

Vol 53 (2) ◽

pp. 13631-13637

Author(s):

Andreas Gienger ◽

Stefan Schaut ◽

Oliver Sawodny ◽

Cristina Tarin

Keyword(s):

Fault Diagnosis ◽

Local Models ◽

Adaptive Structures

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Local Modeling Algorithm Based on Similarity of Vector

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.182-183.1060 ◽

2012 ◽

Vol 182-183 ◽

pp. 1060-1064

Author(s):

Jing Zeng ◽

Jun Wang ◽

Jin Yu Guo

Keyword(s):

Local Model ◽

Local Models ◽

Local Polynomial Fitting ◽

Local Polynomial ◽

Data Matching ◽

Local Modeling ◽

Fitting Algorithm ◽

System Input ◽

Simulation Results ◽

Historical System

A mutli-model modeling method based on local model is given. The modeling idea is firstly to find some data matching with the current working point from vast historical system input-output datasets, and in this paper, we give a new method of choose data information based on similarity of vector which improve the accuracy of data greatly. Secondly to choose the weight and optimum bandwidth then develop a local model using local polynomial fitting algorithm. With the change of working points, multiple local models are built. The effectiveness of the proposed method is demonstrated by simulation results.

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