WO2002065392A3 - Dimension reduction - Google Patents

Dimension reduction Download PDF

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Publication number
WO2002065392A3
WO2002065392A3 PCT/US2001/047900 US0147900W WO02065392A3 WO 2002065392 A3 WO2002065392 A3 WO 2002065392A3 US 0147900 W US0147900 W US 0147900W WO 02065392 A3 WO02065392 A3 WO 02065392A3
Authority
WO
WIPO (PCT)
Prior art keywords
dimensional
vector
dimension reduction
dimensional vector
determining
Prior art date
Application number
PCT/US2001/047900
Other languages
French (fr)
Other versions
WO2002065392A2 (en
Inventor
Susan C Lee
Original Assignee
Univ Johns Hopkins
Susan C Lee
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Univ Johns Hopkins, Susan C Lee filed Critical Univ Johns Hopkins
Priority to US10/433,714 priority Critical patent/US20040088341A1/en
Priority to AU2001297595A priority patent/AU2001297595A1/en
Publication of WO2002065392A2 publication Critical patent/WO2002065392A2/en
Publication of WO2002065392A3 publication Critical patent/WO2002065392A3/en

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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00—Computing arrangements based on biological models
    • G06N3/02—Neural networks
    • G06N3/08—Learning methods
    • G06N3/084—Backpropagation, e.g. using gradient descent

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  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Health & Medical Sciences (AREA)
  • Computing Systems (AREA)
  • Biomedical Technology (AREA)
  • Biophysics (AREA)
  • Computational Linguistics (AREA)
  • Data Mining & Analysis (AREA)
  • Evolutionary Computation (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Molecular Biology (AREA)
  • Artificial Intelligence (AREA)
  • General Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Software Systems (AREA)
  • Health & Medical Sciences (AREA)
  • Data Exchanges In Wide-Area Networks (AREA)
  • Image Processing (AREA)

Abstract

A method for converting an n-dimensional vector to a two-dimensional vector to enable visualization of the n-dimensional vector. The method includes obtaining an n-dimensional reference vector and determining a difference in length and angle between the n-dimensional vector and the reference vector; and determining two-dimensional coordinates of the two-dimensional vector based on the difference in length and angle.
PCT/US2001/047900 2000-12-13 2001-12-12 Dimension reduction WO2002065392A2 (en)

Priority Applications (2)

Application Number Priority Date Filing Date Title
US10/433,714 US20040088341A1 (en) 2001-12-12 2001-12-12 Method for converting a multi-dimensional vector to a two-dimensional vector
AU2001297595A AU2001297595A1 (en) 2000-12-13 2001-12-12 Dimension reduction

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US25527700P 2000-12-13 2000-12-13
US60/255,277 2000-12-13

Publications (2)

Publication Number Publication Date
WO2002065392A2 WO2002065392A2 (en) 2002-08-22
WO2002065392A3 true WO2002065392A3 (en) 2002-11-28

Family

ID=22967608

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/US2001/047900 WO2002065392A2 (en) 2000-12-13 2001-12-12 Dimension reduction

Country Status (2)

Country Link
AU (1) AU2001297595A1 (en)
WO (1) WO2002065392A2 (en)

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5696844A (en) * 1991-05-14 1997-12-09 Matsushita Electric Industrial Co., Ltd. Outline pattern data extraction device for extracting outline pattern of a pattern distribution in a multi-dimensional feature vector space and its applications
US5734796A (en) * 1995-09-29 1998-03-31 Ai Ware, Inc. Self-organization of pattern data with dimension reduction through learning of non-linear variance-constrained mapping
US6088804A (en) * 1998-01-12 2000-07-11 Motorola, Inc. Adaptive system and method for responding to computer network security attacks

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5696844A (en) * 1991-05-14 1997-12-09 Matsushita Electric Industrial Co., Ltd. Outline pattern data extraction device for extracting outline pattern of a pattern distribution in a multi-dimensional feature vector space and its applications
US5734796A (en) * 1995-09-29 1998-03-31 Ai Ware, Inc. Self-organization of pattern data with dimension reduction through learning of non-linear variance-constrained mapping
US6088804A (en) * 1998-01-12 2000-07-11 Motorola, Inc. Adaptive system and method for responding to computer network security attacks

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
FARGUES M P ET AL: "Dimension reduction issues in classification applications", SIGNALS, SYSTEMS & COMPUTERS, 1998. CONFERENCE RECORD OF THE THIRTY-SECOND ASILOMAR CONFERENCE ON PACIFIC GROVE, CA, USA 1-4 NOV. 1998, PISCATAWAY, NJ, USA,IEEE, US, 1 November 1998 (1998-11-01), pages 1670 - 1673, XP010324475, ISBN: 0-7803-5148-7 *

Also Published As

Publication number Publication date
WO2002065392A2 (en) 2002-08-22
AU2001297595A8 (en) 2005-10-06
AU2001297595A1 (en) 2002-08-28

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