The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Mar. 26, 2013
Filed:
Aug. 10, 2010
Mithun Das Gupta, Cupertino, CA (US);
Jing Xiao, Cupertino, CA (US);
Sanjeev Kumar, San Diego, CA (US);
Mithun Das Gupta, Cupertino, CA (US);
Jing Xiao, Cupertino, CA (US);
Sanjeev Kumar, San Diego, CA (US);
Seiko Epson Corporation, Tokyo, JP;
Abstract
Similarities between simplex projection with upper bounds and Lprojection are explored. Criteria for a-priori determination of sequence in which various constraints become active are derived, and this sequence is used to develop efficient algorithms for projecting a vector onto the L-ball while observing box constraints. Three projection methods are presented. The first projection method performs exact projection in O(n) worst case complexity, where n is the space dimension. Using a novel criteria for ordering constraints, the second projection method has a worst case complexity of O(n log n). The third projection method is a worst case linear time algorithm having O(n) complexity. The upper bounds defined for the projected entries guide the L-ball projection to more meaningful predictions.