JPH0522154A - Method for setting reference vector initial value of lvq - Google Patents

Method for setting reference vector initial value of lvq

Info

Publication number
JPH0522154A
JPH0522154A JP3170843A JP17084391A JPH0522154A JP H0522154 A JPH0522154 A JP H0522154A JP 3170843 A JP3170843 A JP 3170843A JP 17084391 A JP17084391 A JP 17084391A JP H0522154 A JPH0522154 A JP H0522154A
Authority
JP
Japan
Prior art keywords
vector
reference vector
category
learning
initial value
Prior art date
Legal status (The legal status 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 status listed.)
Pending
Application number
JP3170843A
Other languages
Japanese (ja)
Inventor
Hidetaka Miyazawa
秀毅 宮澤
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Meidensha Corp
Meidensha Electric Manufacturing Co Ltd
Original Assignee
Meidensha Corp
Meidensha Electric Manufacturing Co Ltd
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 Meidensha Corp, Meidensha Electric Manufacturing Co Ltd filed Critical Meidensha Corp
Priority to JP3170843A priority Critical patent/JPH0522154A/en
Publication of JPH0522154A publication Critical patent/JPH0522154A/en
Pending legal-status Critical Current

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  • Compression Or Coding Systems Of Tv Signals (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Complex Calculations (AREA)
  • Image Processing (AREA)

Abstract

PURPOSE:To facilitate learning by automatically setting an initial value corresponding to learning vector distribution among categories in the case of setting the initial value of a reference vector at an LVQ used for encoding signals in audio engineering or image engineering. CONSTITUTION:First of all, a j-th reference vector Mij in an i-th category is arranged at the centrode of each category ( and (square) and next, the most adjacent reference vector is calculated in respect to each learning vector Lij and defined as a member vector. Afterwards, a new reference vector Mi'j' is generated at the centrode as the member vector of the different category, and a ratio to occupy the same category in the member is defined as an inside potential. For the reference vector having this value smaller than a prescribed reference value, a process following to a figure (b) is repeated.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】本発明は、音声工学や画像工学で
信号の符号化に使用されている学習ベクトル量子化技術
(Learning Vector Quantiza
tion;以下LVQと略称する)における参照ベクト
ル初期値の設定方法に関し、特に、カテゴリ間の学習ベ
クトル分布に応じた初期値を設定する初期値設定方法に
関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a learning vector quantization technique (learning vector quantizer) used for signal coding in voice engineering and image engineering.
section; hereinafter referred to as LVQ), and more particularly to an initial value setting method for setting an initial value according to a learning vector distribution between categories.

【0002】[0002]

【従来の技術】LVQは、従来より音声工学や画像工学
で信号の符号化に重視されていたが、AI手法の飛躍的
な発展に伴って学習が質的に向上し、一層重要度を増し
てきている。ベクトルの量子化は、メモリの大容量化と
低コスト化によって開発されたもので、連続するサンプ
ル値の集団を一つのカテゴリとして利用する符号化方法
であり、N個のサンプル値の集団は、N個の成分を有す
るN次元空間の1点又は原点からその点までのN次元ベ
クトルと考えることができる。例えば、何らかの方法に
より、このN次元空間に図2に示される如き番号を付与
されたM個の参照ベクトルYiが配列されていて、所望
のベクトルX(=x1,x2,…xN)が入力されたと
き、これと各参照ベクトルYiとの空間的距離を定義
し、該距離が最小の参照ベクトルYmで入力ベクトルX
を代表(量子化)させ、その参照ベクトルYmの番号m
を決定(符号化)する。LVQは、この参照ベクトルY
mを学習によって得るパターン認識方法である。
2. Description of the Related Art LVQ has been conventionally emphasized in signal coding in voice engineering and image engineering, but with the rapid development of the AI method, learning has improved qualitatively and has become more important. Is coming. Vector quantization was developed by increasing the memory capacity and cost, and is a coding method that uses a group of consecutive sample values as one category. A group of N sample values is It can be considered as a point in an N-dimensional space having N components or an N-dimensional vector from the origin to that point. For example, by some method, M numbered reference vectors Yi as shown in FIG. 2 are arranged in this N-dimensional space, and a desired vector X (= x1, x2, ... xN) is input. Then, the spatial distance between this and each reference vector Yi is defined, and the input vector X is defined by the reference vector Ym having the smallest distance.
Of the reference vector Ym
Is determined (encoded). LVQ is the reference vector Y
This is a pattern recognition method in which m is obtained by learning.

【0003】[0003]

【発明が解決しようとする課題】LVQにおいては、参
照ベクトルの初期値をどのように設定するかで、LVQ
の性能が大きく左右される。しかし、従来の初期値の選
択方法は、学習ベクトルの中から適当に抽出するか、各
カテゴリ内の歪み率が小さくなるような初期値を与える
かのいずれかであった。これでは、カテゴリ間の学習ベ
クトル分布状態を忠実に反映していると言えず、折角L
VQにより参照ベクトルを学習させても、認識率に無関
係な参照ベクトルが増えるばかりである。本発明はこの
ような課題に鑑みて創案されたもので、カテゴリ間の学
習ベクトル分布状態に応じた初期値を設定でき、LVQ
の学習が容易になるような参照ベクトルの初期値設定方
法を提供することを目的としている。
In the LVQ, the LVQ depends on how the initial value of the reference vector is set.
Performance is greatly affected. However, the conventional method of selecting the initial value is either to appropriately extract from the learning vector or to give the initial value such that the distortion rate in each category becomes small. In this case, it cannot be said that the learning vector distribution state between categories is faithfully reflected.
Even if reference vectors are learned by VQ, the number of reference vectors irrelevant to the recognition rate only increases. The present invention was devised in view of such problems, and it is possible to set an initial value according to a learning vector distribution state between categories.
It is an object of the present invention to provide a method for setting an initial value of a reference vector that facilitates learning of.

【0004】[0004]

【課題を解決するための手段】本発明における上記課題
を解決するための手段は、各カテゴリを代表する最適の
参照ベクトルを学習で得る学習ベクトル量子化における
参照ベクトル初期値の設定方法において、各カテゴリの
セントロイドに参照ベクトルを配列し、各学習ベクトル
に対して最も近傍の参照ベクトルを求め、その学習ベク
トルを参照ベクトルのメンバーベクトルとし、該メンバ
ーベクトルのうち異なるカテゴリのメンバーベクトルと
重複するセントロイドに新規の参照ベクトルを生成さ
せ、メンバーベクトルのうち同一カテゴリに属するもの
の比率を新規の参照ベクトルの内部ポテンシャルとする
参照ベクトル初期値の設定方法によるものとする。
Means for solving the above-mentioned problems in the present invention are as follows in the method of setting an initial value of a reference vector in learning vector quantization for obtaining an optimum reference vector representing each category by learning. A reference vector is arranged in a centroid of a category, a reference vector closest to each learning vector is obtained, the learning vector is set as a member vector of the reference vector, and a cent that overlaps with a member vector of a different category of the member vector. It is assumed that a new reference vector is generated by Lloyd and the ratio of member vectors belonging to the same category is used as the internal potential of the new reference vector to set the reference vector initial value.

【0005】[0005]

【作用】本発明は、各カテゴリの学習ベクトルの分布状
態に応じて参照ベクトルを自己生成させる初期値設定方
法である。このため本発明では、各カテゴリのセントロ
イドに参照ベクトルを配列し、各学習ベクトルに対して
最近傍の参照ベクトルを求め、その学習ベクトルを参照
ベクトルのメンバーベクトルとし、そのメンバーベクト
ルのうち異なるカテゴリのメンバーベクトルでもあるセ
ントロイドに新規の参照ベクトルを生成させ、メンバー
ベクトルのうち同一カテゴリに属するものの比率をその
参照ベクトルの内部ポテンシャルとして評価する。
The present invention is an initial value setting method in which a reference vector is self-generated according to the distribution state of the learning vector of each category. Therefore, in the present invention, the reference vector is arranged in the centroid of each category, the reference vector closest to each learning vector is obtained, the learning vector is set as the member vector of the reference vector, and the different category among the member vectors is calculated. , A new reference vector is generated in the centroid which is also a member vector, and the ratio of the member vectors belonging to the same category is evaluated as the internal potential of the reference vector.

【0006】[0006]

【実施例】以下、図面を参照して、本発明の実施例を詳
細に説明する。図1は、本発明の一実施例の工程の説明
図である。本実施例では、各記号は下記の如く定義され
ている。
Embodiments of the present invention will now be described in detail with reference to the drawings. FIG. 1 is an explanatory view of a process of one embodiment of the present invention. In this embodiment, each symbol is defined as follows.

【0007】 M;参照ベクトル L;学習ベクトル i;カテゴリ番号(1≦i≦n) j;参照ベクトル番号(1≦j≦k) 従って、Mijはi番目のカテゴリでj個目の参照ベク
トルということになり、同様にi番目のカテゴリでj個
目の学習ベクトルはLijとなる。本実施例では、ま
ず、図1(a)に示す如く、各カテゴリ(△,□,)の
セントロイドに参照ベクトルM11,M21,M31を
配列する。次に、各学習ベクトルLij(図示せず)に
対して最も近傍の参照ベクトルを求め、各学習ベクトル
Lijは、図1(b)に示す参照ベクトルM11,M2
1又はM31のいずれかのメンバーベクトルと呼ぶこと
にする。ここで、各参照ベクトルのメンバーベクトルは
空間的距離で決定されるので遠隔部にはカテゴリの異な
るものも含まれるが、異なるカテゴリのメンバーベクト
ルのセントロイドには、新規の参照ベクトルMi′j′
を生成させる。例えば図1(c)で、カテゴリ1(△)
の参照ベクトルM11のメンバーベクトルには、カテゴ
リ2(□)及びカテゴリ3()のメンバーベクトルも存
在する。そこで本実施例では、前者のセントロイドに参
照ベクトルM22を生成させ、後者のセントロイドに参
照ベクトルM32を生成させる。同様に、参照ベクトル
M21のメンバーベクトルにも参照ベクトルM12及び
参照ベクトルM33を生成させ、参照ベクトルM31の
メンバーベクトルにも参照ベクトルM13及び参照ベク
トルM23を生成させる。これらの新規な参照ベクトル
Mi′j′の内部ポテンシャルEi′j′は、次式で演
算される。
M; reference vector L; learning vector i; category number (1 ≦ i ≦ n) j; reference vector number (1 ≦ j ≦ k) Therefore, Mij is referred to as the j-th reference vector in the i-th category. Similarly, the j-th learning vector in the i-th category is Lij. In this embodiment, first, as shown in FIG. 1A, the reference vectors M11, M21, M31 are arranged in the centroid of each category (Δ, □,). Next, the reference vector closest to each learning vector Lij (not shown) is obtained, and each learning vector Lij is the reference vector M11, M2 shown in FIG.
It will be referred to as a member vector of either 1 or M31. Here, since the member vector of each reference vector is determined by the spatial distance, remote parts include those of different categories, but the centroids of the member vectors of different categories include the new reference vector Mi′j ′.
Is generated. For example, in FIG. 1C, category 1 (△)
There are also category 2 (□) and category 3 () member vectors in the member vector of the reference vector M11. Therefore, in this embodiment, the former centroid is caused to generate the reference vector M22 and the latter centroid is caused to generate the reference vector M32. Similarly, the reference vector M12 and the reference vector M33 are generated also in the member vector of the reference vector M21, and the reference vector M13 and the reference vector M23 are also generated in the member vector of the reference vector M31. The internal potential Ei'j 'of these novel reference vectors Mi'j' is calculated by the following equation.

【0008】Ei′j′=メンバーベクトルのうちカテ
ゴリiの個数/メンバーベクトルの個数 この内部ポテンシャルEi′j′が所定の基準値以下で
ある参照ベクトルMi′j′に対しては、上記の図1
(b)以降の手順を繰り返す。
Ei'j '= number of category i among member vectors / number of member vectors For the reference vector Mi'j' whose internal potential Ei'j 'is less than a predetermined reference value, 1
(B) Repeat the subsequent procedure.

【0009】本実施例は下記の効果が明らかである。The following effects are apparent in this embodiment.

【0010】(1)参照ベクトルに内部ポテンシャルを
定義することにより各カテゴリにおける参照ベクトルの
貢献度が認識できる。
(1) The contribution of the reference vector in each category can be recognized by defining the internal potential in the reference vector.

【0011】(2)参照ベクトルを自己生成させること
によりカテゴリ間の学習ベクトルの分布状態に応じた初
期値を設定できる。
(2) By self-generating the reference vector, the initial value can be set according to the distribution state of the learning vector between categories.

【0012】[0012]

【発明の効果】以上、説明したとおり、本発明によれ
ば、カテゴリ間の学習ベクトルの分布に応じた初期値を
設定でき、LVQの学習が容易になる参照ベクトルの初
期値設定方法を提供することができる。
As described above, according to the present invention, there is provided a reference vector initial value setting method capable of setting an initial value according to the distribution of learning vectors between categories and facilitating LVQ learning. be able to.

【図面の簡単な説明】[Brief description of drawings]

【図1】本発明の一実施例の説明図。FIG. 1 is an explanatory diagram of an embodiment of the present invention.

【図2】ベクトル量子化の説明図である。FIG. 2 is an explanatory diagram of vector quantization.

【符号の説明】[Explanation of symbols]

M…参照ベクトル、i…カテゴリ番号、j…参照ベクト
ル番号。
M ... Reference vector, i ... Category number, j ... Reference vector number.

───────────────────────────────────────────────────── フロントページの続き (51)Int.Cl.5 識別記号 庁内整理番号 FI 技術表示箇所 H04N 7/133 Z 4228−5C ─────────────────────────────────────────────────── ─── Continuation of the front page (51) Int.Cl. 5 Identification code Office reference number FI technical display location H04N 7/133 Z 4228-5C

Claims (1)

【特許請求の範囲】 【請求項1】 各カテゴリを代表する最適の参照ベクト
ルを学習で得る学習ベクトル量子化における参照ベクト
ル初期値の設定方法において、各カテゴリのセントロイ
ドに参照ベクトルを配列し、各学習ベクトルに対して最
も近傍の参照ベクトルを求め、その学習ベクトルを参照
ベクトルのメンバーベクトルとし、該メンバーベクトル
のうち異なるカテゴリのメンバーベクトルと重複するセ
ントロイドに新規の参照ベクトルを生成させ、メンバー
ベクトルのうち同一カテゴリに属するものの比率を新規
の参照ベクトルの内部ポテンシャルとすることを特徴と
する参照ベクトル初期値の設定方法。
Claim: What is claimed is: 1. In a method of setting an initial value of a reference vector in learning vector quantization, which obtains an optimum reference vector representing each category by learning, the reference vector is arranged in a centroid of each category, The nearest reference vector is obtained for each learning vector, the learning vector is used as a member vector of the reference vector, and a new reference vector is generated in the centroid that overlaps with the member vector of a different category of the member vector, and the member vector is generated. A method for setting an initial value of a reference vector, characterized in that a ratio of vectors belonging to the same category is used as an internal potential of a new reference vector.
JP3170843A 1991-07-11 1991-07-11 Method for setting reference vector initial value of lvq Pending JPH0522154A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP3170843A JPH0522154A (en) 1991-07-11 1991-07-11 Method for setting reference vector initial value of lvq

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP3170843A JPH0522154A (en) 1991-07-11 1991-07-11 Method for setting reference vector initial value of lvq

Publications (1)

Publication Number Publication Date
JPH0522154A true JPH0522154A (en) 1993-01-29

Family

ID=15912359

Family Applications (1)

Application Number Title Priority Date Filing Date
JP3170843A Pending JPH0522154A (en) 1991-07-11 1991-07-11 Method for setting reference vector initial value of lvq

Country Status (1)

Country Link
JP (1) JPH0522154A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US10913251B2 (en) 2015-09-01 2021-02-09 Mitsui Chemicals, Inc. Buffer material, buffer material for coating robot, robot with buffer material, and coating robot with buffer material

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US10913251B2 (en) 2015-09-01 2021-02-09 Mitsui Chemicals, Inc. Buffer material, buffer material for coating robot, robot with buffer material, and coating robot with buffer material

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