什么是最小均方(LMS)算法

全称 Least mean square 算法。中文是最小均方算法。

感知器和自适应线性元件在历史上几乎是同时提出的，并且两者在对权值的调整的算法非常相似。它们都是基于纠错学习规则的学习算法。感知器算法存在如下问题：不能推广到一般的前向网络中；函数不是线性可分时，得不出任何结果。而由美国斯坦福大学的Widrow和Hoff在研究自适应理论时提出的LMS算法，由于其容易实现而很快得到了广泛应用，成为自适应滤波的标准算法。

LMS算法步骤：

1,、设置变量和参量：

X(n)为输入向量，或称为训练样本

W(n)为权值向量

b(n)为偏差

d(n)为期望输出

y(n)为实际输出

η为学习速率

n为迭代次数

2、初始化，赋给w(0)各一个较小的随机非零值，令n=0

3、对于一组输入样本x(n)和对应的期望输出d，计算

e(n)=d(n)-X^T(n)W(n)

W(n+1)=W(n)+ηX(n)e(n)

4、判断是否满足条件，若满足算法结束，若否n增加1，转入第3步继续执行。

LMS Learning Management System

****** LMS Least Mean Square

****** LMS Le Mans Series (championnat automobile d'endurance organisé par l'ACO)

***** LMS Last Man Standing (style of deathmatch game)

***** LMS LAN Management System

***** LMS Last Man Standing

***** LMS Library Management System

***** LMS Leiomyosarcoma (cancer)

**** LMS Laboratoire de Mécanique des Solides (French)

**** LMS Lancaster Mennonite School (Pennsylvania)

**** LMS Land Management System

*** LMS Leave Management System

*** LMS Labor Market Statistics

*** LMS Land Mobile Service

*** LMS Laser Magnetic Storage

*** LMS Limb-Mammary Syndrome

*** LMS Lakeview Middle School (Fort Oglethrope, GA)

*** LMS Labour Market System (UK)

*** LMS Loctite Material Specification (adhesives)

*** LMS Lightweight Multipurpose Shelter

*** LMS Lighting Management System

*** LMS Library Maintenance System

*** LMS Lightning Mapper Sensor

*** LMS Low Maintenance System (various companies)

*** LMS Life-cycle Management System

*** LMS Leads Management System (State Farm)

*** LMS Leading Math Success (Ontario, Canada)

*** LMS Long Messaging Service

*** LMS Licentiate in Medicine and Surgery

** LMS Langley Management System

** LMS Lower Merion Synagogue

** LMS Land Mobile Satellite System

** LMS Laser Mass Spectrometry

** LMS LaGrange Middle School (Lagrangeville, New York)

** LMS Lansdowne Middle School (Maryland)

** LMS Local Message Switch

** LMS Lunar Mass Spectrometer

** LMS Lunar Module Simulator

** LMS Lilburn Middle School (Lilburn, Georgia)

** LMS Linglestown Middle School (Harrisburg, PA)

** LMS Lateral Meningocele Syndrome

** LMS Likely Model Set

** LMS Like My Status (social networking)

** LMS Light Metal Scrap

** LMS LanMan Server

** LMS Lamdon Model School (Zanskar, India)

** LMS Lunar Mission Scenario

** LMS Larne Main Street (UK)

** LMS Laza, Miriam, &Shy-Poo (reggae band)

** LMS LANXESS Management System

** LMS Literature Monitoring Service

** LMS Loose Mail System (US Postal Service)

** LMS Linear Machine Sentence

* LMS Lightwave Measurement System (Agilent)

* LMS Liberty Medical Specialties, Inc (Whiteville, NC)

* LMS Laughing Myself Silly

* LMS Leuven Measurement Systems International, Belgium

* LMS Lanka Mahila Samiti (Sri Lanka)

* LMS Lightweight Mission Shelter

* LMS Lightweight Multicast Service (content delivery)

* LMS Lightwave Multichannel System (Agilent)

* LMS Lamplighter Montessori School (Cordova, TN)

* LMS Lakeside Middle School (various locations)

* LMS Liberty Middle School (various locations)

* LMS Lincoln Middle School

* LMS Little Man Syndrome

* LMS Little Miss Sunshine (movie)

* LMS Load Management System (electrical)

* LMS Loan Management Services (South Africa mortgage company)

* LMS Local Maintenance

* LMS Local Management of Schools

* LMS Local Market Supplement

* LMS Local Measured Service

* LMS Local Message Store

* LMS Link Monitoring System

* LMS Linwood Middle School (North Brunswick, NJ)

* LMS Lionville Middle School

* LMS Lisa Marie Simpson (Simpsons character)

* LMS Local Messaging Service

* LMS Local Monitoring Station

* LMS Location and Monitoring Services

* LMS Lockheed Martin Services

* LMS Linear Motion System

* LMS Longfellow Middle School

* LMS Loop Management System

* LMS Low-Moisture Silage

* LMS Lowe's Motor Speedway

* LMS Lodging Management System

* LMS Logistics Management Specialist

* LMS Logistics Management Support

* LMS Logistics Management System

* LMS London Mathematical Society

* LMS London Midland Scottish Railway

* LMS London Missionary Society

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