SlideShare a Scribd company logo
Gaussian Mixture Density Estimation
INNL BNT
Andrey Lange
,),;();(
1
∑
=
Σ=
Q
k
kkk xgwxf µθξ
The example of Gaussian mixture distribution
,2
R∈ξ .5=Q
The estimating distribution (3D)
Initial approximationThe estimating
distribution
The result of ЕМ
algorithm
The result of ЕМ algorithm (3D)
EM
SMEM
random sample and
initial approximation
The result of ЕМ
procedure
Split procedure The result of Split The result of Merge
Algorithms
EM and SMEM
random sample
generating
EM SME
M

More Related Content

What's hot

Mt 1
Mt 1Mt 1
Base Excited Systems
Base Excited SystemsBase Excited Systems
Base Excited Systems
Teja Ande
 
INJSO-2014-Solutions
INJSO-2014-SolutionsINJSO-2014-Solutions
INJSO-2014-Solutions
ALLEN CAREER INSTITUTE
 
Mdof
MdofMdof
Mdof
Teja Ande
 
Pulsar - White Dwarf Binaries as Gravity Labs
Pulsar - White Dwarf Binaries as Gravity LabsPulsar - White Dwarf Binaries as Gravity Labs
Pulsar - White Dwarf Binaries as Gravity Labs
John Antoniadis
 
Viscosity measurement
Viscosity measurementViscosity measurement
Viscosity measurement
Nur Fatihah
 
Satuan volume
Satuan volumeSatuan volume
Satuan volume
RaymondFrans2
 
Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...
Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...
Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...
balaganesh boomiraja
 
Koide equations for quark mass triplets.
Koide equations for quark mass triplets.Koide equations for quark mass triplets.
Koide equations for quark mass triplets.
Alejandro Rivero
 
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Transmission Line
Lecture Notes:   EEEE6490345 RF and Microwave Electronics - Transmission LineLecture Notes:   EEEE6490345 RF and Microwave Electronics - Transmission Line
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Transmission Line
AIMST University
 
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...
Lecture Notes:  EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...Lecture Notes:  EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...
AIMST University
 
Utility maximisation and regret minimisation - a mixture of a generalisation
Utility maximisation and regret minimisation - a mixture of a generalisationUtility maximisation and regret minimisation - a mixture of a generalisation
Utility maximisation and regret minimisation - a mixture of a generalisation
Institute for Transport Studies (ITS)
 
Solutions modern particlephysics
Solutions modern particlephysicsSolutions modern particlephysics
Solutions modern particlephysics
itachikaleido
 
計算材料学
計算材料学計算材料学
فيزياء 1 شابتر 1
فيزياء 1 شابتر 1فيزياء 1 شابتر 1
فيزياء 1 شابتر 1
Feras Arafat
 

What's hot (15)

Mt 1
Mt 1Mt 1
Mt 1
 
Base Excited Systems
Base Excited SystemsBase Excited Systems
Base Excited Systems
 
INJSO-2014-Solutions
INJSO-2014-SolutionsINJSO-2014-Solutions
INJSO-2014-Solutions
 
Mdof
MdofMdof
Mdof
 
Pulsar - White Dwarf Binaries as Gravity Labs
Pulsar - White Dwarf Binaries as Gravity LabsPulsar - White Dwarf Binaries as Gravity Labs
Pulsar - White Dwarf Binaries as Gravity Labs
 
Viscosity measurement
Viscosity measurementViscosity measurement
Viscosity measurement
 
Satuan volume
Satuan volumeSatuan volume
Satuan volume
 
Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...
Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...
Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-li...
 
Koide equations for quark mass triplets.
Koide equations for quark mass triplets.Koide equations for quark mass triplets.
Koide equations for quark mass triplets.
 
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Transmission Line
Lecture Notes:   EEEE6490345 RF and Microwave Electronics - Transmission LineLecture Notes:   EEEE6490345 RF and Microwave Electronics - Transmission Line
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Transmission Line
 
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...
Lecture Notes:  EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...Lecture Notes:  EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...
Lecture Notes: EEEE6490345 RF and Microwave Electronics - Noise In Two-Port ...
 
Utility maximisation and regret minimisation - a mixture of a generalisation
Utility maximisation and regret minimisation - a mixture of a generalisationUtility maximisation and regret minimisation - a mixture of a generalisation
Utility maximisation and regret minimisation - a mixture of a generalisation
 
Solutions modern particlephysics
Solutions modern particlephysicsSolutions modern particlephysics
Solutions modern particlephysics
 
計算材料学
計算材料学計算材料学
計算材料学
 
فيزياء 1 شابتر 1
فيزياء 1 شابتر 1فيزياء 1 شابتر 1
فيزياء 1 شابتر 1
 

Viewers also liked

大学与工作
大学与工作大学与工作
大学与工作
xiaoerxiaoer
 
Outbrain Click Prediction
Outbrain Click PredictionOutbrain Click Prediction
Outbrain Click Prediction
Alexey Grigorev
 
一淘广告机器学习
一淘广告机器学习一淘广告机器学习
一淘广告机器学习
Shaoning Pan
 
Click-Trough Rate (CTR) prediction
Click-Trough Rate (CTR) predictionClick-Trough Rate (CTR) prediction
Click-Trough Rate (CTR) prediction
Andrey Lange
 
Ad Click Prediction - Paper review
Ad Click Prediction - Paper reviewAd Click Prediction - Paper review
Ad Click Prediction - Paper review
Mazen Aly
 
Large scale-ctr-prediction lessons-learned-florian-hartl
Large scale-ctr-prediction lessons-learned-florian-hartlLarge scale-ctr-prediction lessons-learned-florian-hartl
Large scale-ctr-prediction lessons-learned-florian-hartl
PyData
 
数据挖掘竞赛经验分享 严强
数据挖掘竞赛经验分享 严强数据挖掘竞赛经验分享 严强
数据挖掘竞赛经验分享 严强Felicia Wenyi Fei
 

Viewers also liked (7)

大学与工作
大学与工作大学与工作
大学与工作
 
Outbrain Click Prediction
Outbrain Click PredictionOutbrain Click Prediction
Outbrain Click Prediction
 
一淘广告机器学习
一淘广告机器学习一淘广告机器学习
一淘广告机器学习
 
Click-Trough Rate (CTR) prediction
Click-Trough Rate (CTR) predictionClick-Trough Rate (CTR) prediction
Click-Trough Rate (CTR) prediction
 
Ad Click Prediction - Paper review
Ad Click Prediction - Paper reviewAd Click Prediction - Paper review
Ad Click Prediction - Paper review
 
Large scale-ctr-prediction lessons-learned-florian-hartl
Large scale-ctr-prediction lessons-learned-florian-hartlLarge scale-ctr-prediction lessons-learned-florian-hartl
Large scale-ctr-prediction lessons-learned-florian-hartl
 
数据挖掘竞赛经验分享 严强
数据挖掘竞赛经验分享 严强数据挖掘竞赛经验分享 严强
数据挖掘竞赛经验分享 严强
 

EM_Presentation