VOL. 5, NO. 8, August 2015 ISSN ARPN Journal of Science and Technology All rights reserved.
|
|
- Brittany Stevens
- 5 years ago
- Views:
Transcription
1 Applcato of SVM Model the Evaluato of the SMEs echologcal Iovato Capablt Xao-L Wag Assoc. Prof., School of Ecoomcs & Maagemet, Zhogua Uverst of echolog, Zhegzhou, Cha sx ABSRAC Applg the SVM model, the artcle establshed scetfc ad complete evaluato dex sstem of the techologcal ovato capact of SMEs, mal cludg: ovato decso-mag ablt, resource put capablt, research ad developmet ablt, the maufacturg capact, maret maretg ablt, ovato maagemet ablt from sx aspects. Based o them, the artcle coducted a obectve ad accurate measuremet ad evaluato o the techologcal ovato capact of SMEs Hea Provce Cha. Kewords: SVM Model, SME, echologcal Iovato, Evaluato, Idex Sstem. INRODUCION Evaluato of SMEs techologcal ovato capablt, o the oe had, t eeds to sthesze evaluato dex of techologcal ovato capact ad get eterprse s overall techologcal ovato capablt to reveal the status of eterprse s techologcal ovato. O the other had, t eeds to fd the formato from the comprehesve evaluato results, ad the advatage ad dsadvatage of SMEs techologcal ovato to provde decso bass for the eterprse ad goverme Evaluato dex sstem of the techologcal ovato capact of SMEs s a dex sstem whch s composed b several dfferet parameters, ad these dexes are mult-level ad complex. Evaluato of SMEs techologcal ovato capablt essetall s a multobect, mult-factor ad mult-level techologcal comprehesve evaluato problem. herefore, the approprate evaluato model s the e factor to udge whether the evaluato result s scetfc, obectve ad far. At preset, the wdel studed ad appled evaluato model mal cludes comprehesve fuzz evaluato model, eural etwor evaluato model, etc. he applcato of these models reles o a large umber of hstorcal samples. Comprehesve evaluato model s based o the ecessar expertse, ad eural etwor evaluato model stll lacs ufed mathematcal theor, whch caot mae breathrough determg etwor structure, provdg explaato of algorthm, solvg the problem over-learg or lac-learg, ad local mmum po O the bass of statstcal learg theor, Vap et al. developed a ew d of geeral mache learg method whch s called Support Vector Mache (SVM []. SVM has successfull solved the problem of the hgh dmeso ad local extremum. Usg large terval factor, SVM cotrols the trag process of learg mache to choose the classfcato hperplae wth the largest classfcato terval, whch s also called the optmal hper plae (I the separable case, relaxato factor s troduced to cotrol emprcal rs. I the case, classfcato requremet s met ad the hghest geeralzato ablt s edowed. he process of loog for optmal hperplae evetuall trasformed to Quadratc Programmg (QP, theoretcall, t gets the global optmal soluto. o deal wth the olear classfcato problem, SVM s dfferet from tradtoal mache learg, t puts space to hgh dmesoal feature space, ad stll uses large terval factor to loo for maxmum separato hperplae the hgh dmesoal feature space [2]. I fact, the hperplae the hgh dmesoal feature space correspods to the olear classfcato plae of the put space. he optmzato process of SVM does t coduct hgh dmesoal feature space; fact, t trasforms er product operato of the hgh dmesoal feature space to erel fucto operato of the orgal space so that t avods the dffcult of dealg wth problem the hgh dmesoal feature space. From the perspectve of classfcato, ths artcle apples SVM model to the comprehesve evaluato of SMEs techologcal ovato capact, ad obtas promet effects. 2. HE MODEL CONSRUCION OF SMES ECHNOLOGICAL INNOVAION CAPACIY EVALUAION 2. he Prcple ad Algorthm of SVM SVM s a d of mache learg method based o statstcal learg theor. O the bass of lmted sample formato, t compromses emprcal rs ad cofdece rage to mmze the structure rs ad get the best learg geeralzato ablt. SVM s especall sutable for lmted samples, ad t ca theoretcall obta the global optmal pot ad esure good geeralzato ablt of learg mache. Besdes, t has othg to do wth calculato complext ad sample dmeso. herefore, recetl SVM s wdel used patter recogto, fuctoal approxmato, regresso estmate, etc. [3] 388
2 he core dea of SVM s to establsh a optmal classfcato plae as a decso surface, ad accuratel dvde the samples to two categores. he optmal classfcato plae requres that classfcato surface ot ol ca separate the two correctl (trag error rate s 0, but also mae the largest classfcato terval. We ca use the followg covex quadratc programmg to descrbe the lear separable sample set,,2,...,, x R d ( x,, {, } : For the udvded lear sample set, that s, some trag sample ca t meet the model s (Formula- costrat codto, we troduce a slac varable, 0 the same as addg a pealt term to the obectve fucto, that s, we compromse largest classfcato terval ad maxmum error-classfcato sample, ad the optmal classfcato plae we get s called the geeralzed optmal classfcato plae [4]. he model (Formula- s trasformed to 2 m ( w w w w (Formula- 2 2 s. ( w x b,,2,..., I the formula-, w s model parameter, b s classfcato threshold. o solve the above problem, we get the optmal classfcato plae, ( w x b 0, whch maes the mmum, ad the marg s. 2 / w (w Usg Wolf Dual Program, we ca trasform model (Formula- to gettg the dual problem: max Q( x x 2 s. 0 0,,2,..., (Formula-2 hs s a quadratc programmg problem about Lagrage s multpler, ad t has a uque soluto. Accordg to the KK (the Karush-Kuh-ucer, we ca prove that correspodg of most samples s 0, ad ol a part (usuall a few of s ot 0. Ad the few samples are support vectors. Solvg the model (Formula- 2, we get the optmal classfcato fucto: f ( x sg( w sg( sg( sv x x x b Ad the followg, b ( w x x x b x b x, sv (Formula-3 (Formula-4 he varable sv s support vector dex se Accordg to the postve ad egatve of f (x, we ca udge the categor of sample x. t m ( w w w C( 2 s. ( w x b,,2,..., (Formula-5 o be coveet, we usuall tae pealt dex. C s a costat whch s greater tha 0, ad t cotrols the degree of pushmet to wrog pots sample. t Smlar to the process of the lear separable, geeralzed optmal classfcato s dual problem s as follows max Q( x x 2 s. 0 0 C,,2,..., (Formula-6 hrough the above process, we ca see that whe the orgal problem s trasformed to the dual problem, computatoal complext o loger depeds o space dmeso, ad ol depeds o the umber of samples or the umber of support vector, whch maes t possble to effectvel solve the hgh dmeso problems. As the optmzato fucto ad the classfcato fucto ol refer to the er product operato of trag samples, accordg to dest fuctoal theor, we ca adopt er product erel fucto K x, x whch meets Mercer ( codto, to realze the er product of the trasformato space. I that case, f we adopt approprate er product erel fucto the optmal classfcato plae, we ca realze the lear classfcato of certa olear trasformato [5]. At ths momet, the obectve fucto s trasformed to: max Q( K( x, x (Formula-7 2 he correspodg optmal classfcato fucto s trasformed to f ( x sg( sg( sv K( x, x b K( x, x b (Formula-8 Ad 389
3 b ( w x K( x, x sv (Formula-9 I geeral, SVM trasforms the put space to a hgh dmesoal space frstl b usg olear trasformato whch s defed b er product erel fucto, ad the tres to get the geeralzed optmal separatg hperplae ths space [6] Calculato Process of the Model O the bass of collectg related data of evaluato of SMEs techologcal ovato capablt, uder learg the collected SMEs techologcal ovato capablt evaluato data for the SVM classfcato model, ad the we udge techologcal ovato capablt evaluato data of the specfc SMEs. I that wa, we ca get the techologcal ovato ablt of the evaluated eterprses, ad select the SMEs whch have strog techologcal ovato capablt ad good growth propert, to help decso maers choose prort support ad good fudg growth SMEs, ad realze the purpose of cultvatg growg SMEs. 3. EMPIRICAL ANALYSIS OF HENAN SMES ECHNOLOGICAL INNOVAION CAPABILIY EVALUAION 3. he Source of the Data ad the Selecto of Evaluato Idexes I order to mae the model applcable, we eed to stud eough hstorcal data to predct the model. I order to get eough hstorcal data, ths stud uses vestgato, telephoe, E-mal, formato quer ad other was to mar some Hea SMEs techologcal ovato capablt, ad gets some actual data. From the actual obtaed data, the capabltes of the vestgated SMEs techologcal ovato are hgh level. he reaso ma be that the vestgato, the vestgated eterprses are ot wllg to show ther actual codto. It s ecessar to have suffcet data of varous levels to support the model. Cosultg relevat experts ad combg the actual codto of some eterprses wth the obtaed actual data, we effectvel expad the samples of the stud ad esure the adequac of the model samples. able s the scorg table used the vestgato. We should score a certa SME accordg to the above dex ad refer to the crtera: good 80-00, geeral 60-80, lght problem 40-60, serous problem 40 ad below. After that, we should mae comprehesve evaluato to the eterprse s techologcal ovato capablt. Ad the ratg stadards are good, geeral ad poor. he total data of samples of the stud s 20, whle the frst 00 samples are learg samples, ad the last 20 samples are verfcato samples. able 2 s part of the learg samples whch are gotte b actual vestgato, expert cosultato ad reasoable predcto. I table 2, + stads for good, 0 stads for geeral, ad - stads for poor. he data the table s dvded to 8, whch correspods to the prevous 8 dexes. 3.2 Calculato of the Data hs stud coducts aalog calculato b Lb SVM 2.83 software whch s developed b Dr. Chh-Je L of awa Uverst. Frst, the ormalzato processg of learg samples, ext, the model lears the ormalzed data to get the correspodg support vector. Coduct ormalzato processg of the verfcato samples, ad the evaluate them accordg to the leared data to get the evaluato resul he output value of the evaluato result are +, 0 or -, whch respectvel stad for good, geeral or poor of the SMEs techologcal ovato capablt. able 3 s part of the output data through aalog computato. he evaluato of the 20 verfcato sample shows that 7 tems ft, ad 3 tems do t f I geeral, the accurac of the model evaluato s 85%. From table 3, we ca see that the overall sample data, the evaluato result v correspodg to samples shows the eterprse techologcal ovato capablt s good, geeral or poor. he fal evaluato result obtaed b aalog computato s as table 4. Uder the premse that guaratees the accurac of evaluato, the evaluato results show that the techologcal ovato capabltes of Hea SMEs the samples are ot hgh geeral. Good, geeral ad poor respectvel accout for 46.67%, 34.7% ad 9.7%. It shows that 53.33% of the eterprses eed to tap potetal wth the dex sstem, ad coduct techologcal ovato cultvato ad costructo. he govermet decso-mag bod also ca develop the correspodg drecto of sstem ad polc. 3.3 Bref Aalss of the Calculato Results hrough the model valdato, we ca see that the accurac of model evaluato s 85%. It ca be see that SMEs ovato capact evaluato based o SVM s relable. hus t bascall verfes that the dex sstem of ths artcle s obectve ad scetfc. I fact, evaluatg SME s techologcal ovato capact, the model has a great superort compared wth other methods. Frst of all, the evaluato bass of the model s to stud actual data, tr to master the heret law of SMEs techologcal ovato, ad the mae obectve evaluato to the eterprses. Secod, the evaluato of the model has strog flexblt. Whe the model lears adequate actual data, marg a eterprses obectvel accordg to the dex sstem, t 390
4 ca evaluate accordg to the grade, ad output evaluato result qucl. I ths wa, we ca clearl ow the level of the eterprse techologcal ovato capact. 4. CONCLUSION Restrcted b factors such as moe, tme ad so o, the research o Hea SMEs techologcal ovato capablt evaluato model s stll ts prelmar stage, at the ext step, we eed to explore further the followg aspects: a. Settg of model calculato dex. he selecto of SMEs techologcal ovato capablt valuato dex s ver mporta hs research carred out the prelmar desg of related dex. Actuall, desg of dex eeds ot ol sold theoretcal foudato, but also eough practce foudato. I the ext step of stud, we eed to combe wth the actual stuato of Hea SMEs to mae further desg of the dex selecto. b. Collecto of the orgal data. Learg of the Model requres eough ad real raw data, ad ol ths wa, the model ca get suffcet evaluato bass. Restrcted b factors such as moe, tme ad cooperato degree of the vestgated eterprses, the data collected ths stud s ot suffcet, ad data of the true ad low techologcal ovato capact eterprses are especall suffce I order to mae the model fucto better, we eed to collect suffcet ad effectve relevat data. ACKNOWLEDGEMEN has for supportg b the Gudace S& Pla Proect of the extle Idustr Federato echolog, Cha (203064; the Ke S& Research Proect of the Educato Departmet of Hea, Cha (3A63022; the Gudace S& Pla Proect of the extle Idustr Federato echolog, Cha (204075; the Ke S& Research Proect of the Educato Departmet of Hea, Cha (4A630020; Humat ad Socal Scece Research Plag Proect of the Departmet of educato of Hea, Cha(204-q-394, ad thas all the research members for ther great cooperato wor as well. REFERENCES [] Hu Jaq, the tegrato of archves resources to promote the Regoal Sharg of [J]. Archves ad costructo, 2008, ( [2] Lu Zhepeg, Zhag Ng. he applcato of cloud computg techolog the archves [J]. he Lata world: the secod half, 200, (8 [3] Lv Yuazh. "Cloud" shared servce mode of atoal archves formato resource [J]. Stud of archval scece, 20, (4. [4] ao Shulog., Regoal dgtal archves based o cloud computg [J]. Chese archves, 203, (2. [5] Wee. Research o costructo of the Dgtal archves based of cloud computg [J]. Archves ad costructo, 20, (. AAAI Coferece o Weblogs ad Socal Meda (ICWSM, Ma 200. AUHOR PROFILE Xao-L Wag, 975, male, School of Ecoomcs ad Maagemet, Zhogua Uverst of echolog (Hea Zhegzhou , Assocate Drector, Assocate Professor, the research drecto s Eterprse Iovato Maageme able : he scorg table used the vestgato Eterprse ame Level of comprehesve evaluato excellet good medum poor NO. Idex ame Score Kowledge capact S 2 Character ablts2 3 Iteral resources S3 4 Exteral resources S4 5 R&D proect plag ad maagemet S5 6 research ad developmet group S6 7 Cooperatg wth other departmets S7 8 Degree of the maufacturg sector to partcpate ovato S8 9 Level of producto equpmet S9 0 Worers techcal level S0 Qualt ad cost maagemet S 2 Maret vestgato ad stud ablt S2 3 he maretg level S3 4 sellg etwor S4 5 after-sales servce S5 6 Iovato strateg formulato S6 7 cetve mechasm S7 8 terface maagemet S8 39
5 able 2: Sample data No categor S S2 S3 S4 S5 S6 S7 S8 S9 S0 S S2 S3 S4 S5 S6 S7 S able 3: he output data NO. V Y Y2 Y3 Y4 Y5 Y6 Y7 Y8 Y9 Y0 Y Y2 Y3 Y4 Y5 Y6 Y7 Y able 4: Evaluato results Level of scece ad techologcal ovato capact quatt rato good % geeral % poor % 392
An Introduction to. Support Vector Machine
A Itroducto to Support Vector Mache Support Vector Mache (SVM) A classfer derved from statstcal learg theory by Vapk, et al. 99 SVM became famous whe, usg mages as put, t gave accuracy comparable to eural-etwork
More informationCS 1675 Introduction to Machine Learning Lecture 12 Support vector machines
CS 675 Itroducto to Mache Learg Lecture Support vector maches Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square Mdterm eam October 9, 7 I-class eam Closed book Stud materal: Lecture otes Correspodg chapters
More informationSupport vector machines II
CS 75 Mache Learg Lecture Support vector maches II Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square Learl separable classes Learl separable classes: here s a hperplae that separates trag staces th o error
More informationBinary classification: Support Vector Machines
CS 57 Itroducto to AI Lecture 6 Bar classfcato: Support Vector Maches Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square CS 57 Itro to AI Supervsed learg Data: D { D, D,.., D} a set of eamples D, (,,,,,
More informationStudy on a Fire Detection System Based on Support Vector Machine
Sesors & Trasducers, Vol. 8, Issue, November 04, pp. 57-6 Sesors & Trasducers 04 by IFSA Publshg, S. L. http://www.sesorsportal.com Study o a Fre Detecto System Based o Support Vector Mache Ye Xaotg, Wu
More informationSolving Constrained Flow-Shop Scheduling. Problems with Three Machines
It J Cotemp Math Sceces, Vol 5, 2010, o 19, 921-929 Solvg Costraed Flow-Shop Schedulg Problems wth Three Maches P Pada ad P Rajedra Departmet of Mathematcs, School of Advaced Sceces, VIT Uversty, Vellore-632
More informationKernel-based Methods and Support Vector Machines
Kerel-based Methods ad Support Vector Maches Larr Holder CptS 570 Mache Learg School of Electrcal Egeerg ad Computer Scece Washgto State Uverst Refereces Muller et al. A Itroducto to Kerel-Based Learg
More informationResearch on SVM Prediction Model Based on Chaos Theory
Advaced Scece ad Techology Letters Vol.3 (SoftTech 06, pp.59-63 http://dx.do.org/0.457/astl.06.3.3 Research o SVM Predcto Model Based o Chaos Theory Sog Lagog, Wu Hux, Zhag Zezhog 3, College of Iformato
More informationSupport vector machines
CS 75 Mache Learg Lecture Support vector maches Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square CS 75 Mache Learg Outle Outle: Algorthms for lear decso boudary Support vector maches Mamum marg hyperplae.
More informationIntroduction to local (nonparametric) density estimation. methods
Itroducto to local (oparametrc) desty estmato methods A slecture by Yu Lu for ECE 66 Sprg 014 1. Itroducto Ths slecture troduces two local desty estmato methods whch are Parze desty estmato ad k-earest
More informationAn Improved Support Vector Machine Using Class-Median Vectors *
A Improved Support Vector Mache Usg Class-Meda Vectors Zhezhe Kou, Jahua Xu, Xuegog Zhag ad Lag J State Ke Laborator of Itellget Techolog ad Sstems Departmet of Automato, Tsghua Uverst, Bejg 100084, P.R.C.
More informationA handwritten signature recognition system based on LSVM. Chen jie ping
Iteratoal Coferece o Computatoal Scece ad Egeerg (ICCSE 05) A hadrtte sgature recogto sstem based o LSVM Che je pg Guagx Vocatoal ad echcal College, departmet of computer ad electroc formato egeerg, ag,
More informationObjectives of Multiple Regression
Obectves of Multple Regresso Establsh the lear equato that best predcts values of a depedet varable Y usg more tha oe eplaator varable from a large set of potetal predctors {,,... k }. Fd that subset of
More informationJournal of Chemical and Pharmaceutical Research, 2014, 6(7): Research Article
Avalable ole www.jocpr.com Joural of Chemcal ad Pharmaceutcal Research, 2014, 6(7):1035-1041 Research Artcle ISSN : 0975-7384 CODEN(SA) : JCPRC5 Desg ad developmet of kowledge maagemet platform for SMEs
More informationFeature Selection: Part 2. 1 Greedy Algorithms (continued from the last lecture)
CSE 546: Mache Learg Lecture 6 Feature Selecto: Part 2 Istructor: Sham Kakade Greedy Algorthms (cotued from the last lecture) There are varety of greedy algorthms ad umerous amg covetos for these algorthms.
More informationAn Indian Journal FULL PAPER ABSTRACT KEYWORDS. Trade Science Inc. Research on scheme evaluation method of automation mechatronic systems
[ype text] [ype text] [ype text] ISSN : 0974-7435 Volume 0 Issue 6 Boechology 204 Ida Joural FULL PPER BIJ, 0(6, 204 [927-9275] Research o scheme evaluato method of automato mechatroc systems BSRC Che
More informationCS 2750 Machine Learning. Lecture 8. Linear regression. CS 2750 Machine Learning. Linear regression. is a linear combination of input components x
CS 75 Mache Learg Lecture 8 Lear regresso Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square CS 75 Mache Learg Lear regresso Fucto f : X Y s a lear combato of put compoets f + + + K d d K k - parameters
More informationArithmetic Mean and Geometric Mean
Acta Mathematca Ntresa Vol, No, p 43 48 ISSN 453-6083 Arthmetc Mea ad Geometrc Mea Mare Varga a * Peter Mchalča b a Departmet of Mathematcs, Faculty of Natural Sceces, Costate the Phlosopher Uversty Ntra,
More informationCorrelation and Regression Analysis
Chapter V Correlato ad Regresso Aalss R. 5.. So far we have cosdered ol uvarate dstrbutos. Ma a tme, however, we come across problems whch volve two or more varables. Ths wll be the subject matter of the
More informationFunctions of Random Variables
Fuctos of Radom Varables Chapter Fve Fuctos of Radom Varables 5. Itroducto A geeral egeerg aalyss model s show Fg. 5.. The model output (respose) cotas the performaces of a system or product, such as weght,
More informationSupervised learning: Linear regression Logistic regression
CS 57 Itroducto to AI Lecture 4 Supervsed learg: Lear regresso Logstc regresso Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square CS 57 Itro to AI Data: D { D D.. D D Supervsed learg d a set of eamples s
More informationPart 4b Asymptotic Results for MRR2 using PRESS. Recall that the PRESS statistic is a special type of cross validation procedure (see Allen (1971))
art 4b Asymptotc Results for MRR usg RESS Recall that the RESS statstc s a specal type of cross valdato procedure (see Alle (97)) partcular to the regresso problem ad volves fdg Y $,, the estmate at the
More informationEstimation of Stress- Strength Reliability model using finite mixture of exponential distributions
Iteratoal Joural of Computatoal Egeerg Research Vol, 0 Issue, Estmato of Stress- Stregth Relablty model usg fte mxture of expoetal dstrbutos K.Sadhya, T.S.Umamaheswar Departmet of Mathematcs, Lal Bhadur
More informationV. Rezaie, T. Ahmad, C. Daneshfard, M. Khanmohammadi and S. Nejatian
World Appled Sceces Joural (Mathematcal Applcatos Egeerg): 38-4, 03 ISS 88-495 IDOSI Publcatos, 03 DOI: 0.589/dos.wasj.03..mae.99940 A Itegrated Modelg Based o Data Evelopmet Aalyss ad Support Vector Maches:
More informationMulti Objective Fuzzy Inventory Model with. Demand Dependent Unit Cost and Lead Time. Constraints A Karush Kuhn Tucker Conditions.
It. Joural of Math. Aalyss, Vol. 8, 204, o. 4, 87-93 HIKARI Ltd, www.m-hkar.com http://dx.do.org/0.2988/jma.204.30252 Mult Objectve Fuzzy Ivetory Model wth Demad Depedet Ut Cost ad Lead Tme Costrats A
More informationLinear Regression Linear Regression with Shrinkage. Some slides are due to Tommi Jaakkola, MIT AI Lab
Lear Regresso Lear Regresso th Shrkage Some sldes are due to Tomm Jaakkola, MIT AI Lab Itroducto The goal of regresso s to make quattatve real valued predctos o the bass of a vector of features or attrbutes.
More informationPoint Estimation: definition of estimators
Pot Estmato: defto of estmators Pot estmator: ay fucto W (X,..., X ) of a data sample. The exercse of pot estmato s to use partcular fuctos of the data order to estmate certa ukow populato parameters.
More informationA New Method for Decision Making Based on Soft Matrix Theory
Joural of Scetfc esearch & eports 3(5): 0-7, 04; rtcle o. JS.04.5.00 SCIENCEDOMIN teratoal www.scecedoma.org New Method for Decso Mag Based o Soft Matrx Theory Zhmg Zhag * College of Mathematcs ad Computer
More informationL5 Polynomial / Spline Curves
L5 Polyomal / Sple Curves Cotets Coc sectos Polyomal Curves Hermte Curves Bezer Curves B-Sples No-Uform Ratoal B-Sples (NURBS) Mapulato ad Represetato of Curves Types of Curve Equatos Implct: Descrbe a
More informationGenerative classification models
CS 75 Mache Learg Lecture Geeratve classfcato models Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square Data: D { d, d,.., d} d, Classfcato represets a dscrete class value Goal: lear f : X Y Bar classfcato
More informationA conic cutting surface method for linear-quadraticsemidefinite
A coc cuttg surface method for lear-quadratcsemdefte programmg Mohammad R. Osoorouch Calfora State Uversty Sa Marcos Sa Marcos, CA Jot wor wth Joh E. Mtchell RPI July 3, 2008 Outle: Secod-order coe: defto
More informationTHE ROYAL STATISTICAL SOCIETY 2016 EXAMINATIONS SOLUTIONS HIGHER CERTIFICATE MODULE 5
THE ROYAL STATISTICAL SOCIETY 06 EAMINATIONS SOLUTIONS HIGHER CERTIFICATE MODULE 5 The Socety s provdg these solutos to assst cadtes preparg for the examatos 07. The solutos are teded as learg ads ad should
More informationbest estimate (mean) for X uncertainty or error in the measurement (systematic, random or statistical) best
Error Aalyss Preamble Wheever a measuremet s made, the result followg from that measuremet s always subject to ucertaty The ucertaty ca be reduced by makg several measuremets of the same quatty or by mprovg
More informationBayesian Classification. CS690L Data Mining: Classification(2) Bayesian Theorem: Basics. Bayesian Theorem. Training dataset. Naïve Bayes Classifier
Baa Classfcato CS6L Data Mg: Classfcato() Referece: J. Ha ad M. Kamber, Data Mg: Cocepts ad Techques robablstc learg: Calculate explct probabltes for hypothess, amog the most practcal approaches to certa
More informationPrincipal Components. Analysis. Basic Intuition. A Method of Self Organized Learning
Prcpal Compoets Aalss A Method of Self Orgazed Learg Prcpal Compoets Aalss Stadard techque for data reducto statstcal patter matchg ad sgal processg Usupervsed learg: lear from examples wthout a teacher
More informationDimensionality Reduction and Learning
CMSC 35900 (Sprg 009) Large Scale Learg Lecture: 3 Dmesoalty Reducto ad Learg Istructors: Sham Kakade ad Greg Shakharovch L Supervsed Methods ad Dmesoalty Reducto The theme of these two lectures s that
More informationDimensionality reduction Feature selection
CS 750 Mache Learg Lecture 3 Dmesoalty reducto Feature selecto Mlos Hauskrecht mlos@cs.ptt.edu 539 Seott Square CS 750 Mache Learg Dmesoalty reducto. Motvato. Classfcato problem eample: We have a put data
More informationA CLASSIFICATION OF REMOTE SENSING IMAGE BASED ON IMPROVED COMPOUND KERNELS OF SVM
A CLASSIFICAION OF REMOE SENSING IMAGE BASED ON IMPROVED COMPOUND KERNELS OF SVM Jag Zhao Wal Gao * Zl Lu Gufe Mou L Lu 3 La Yu College of Iformato ad Electrcal Egeerg Cha Agrcultural Uverst Beg P. R.
More informationFourth Order Four-Stage Diagonally Implicit Runge-Kutta Method for Linear Ordinary Differential Equations ABSTRACT INTRODUCTION
Malasa Joural of Mathematcal Sceces (): 95-05 (00) Fourth Order Four-Stage Dagoall Implct Ruge-Kutta Method for Lear Ordar Dfferetal Equatos Nur Izzat Che Jawas, Fudzah Ismal, Mohamed Sulema, 3 Azm Jaafar
More informationA Computational Procedure for solving a Non-Convex Multi-Objective Quadratic Programming under Fuzzy Environment
A Computatoal Procedure for solvg a No-Covex Mult-Obectve Quadratc Programmg uder Fuzz Evromet Shash Aggarwal * Departmet of Mathematcs Mrada House Uverst of Delh Delh-0007 Ida shash60@gmal.com Uda Sharma
More informationResearch on the Industrial Geographic Concentration and Regional Specialization in China
Advaces Socal Scece, Educato ad Humates Research, volume 85 4th Iteratoal Coferece o Maagemet Scece, Educato Techology, Arts, Socal Scece ad Ecoomcs (MSETASSE 2016) Research o the Idustral Geographc Cocetrato
More informationMultiple Regression. More than 2 variables! Grade on Final. Multiple Regression 11/21/2012. Exam 2 Grades. Exam 2 Re-grades
STAT 101 Dr. Kar Lock Morga 11/20/12 Exam 2 Grades Multple Regresso SECTIONS 9.2, 10.1, 10.2 Multple explaatory varables (10.1) Parttog varablty R 2, ANOVA (9.2) Codtos resdual plot (10.2) Trasformatos
More informationRademacher Complexity. Examples
Algorthmc Foudatos of Learg Lecture 3 Rademacher Complexty. Examples Lecturer: Patrck Rebesch Verso: October 16th 018 3.1 Itroducto I the last lecture we troduced the oto of Rademacher complexty ad showed
More informationPinaki Mitra Dept. of CSE IIT Guwahati
Pak Mtra Dept. of CSE IIT Guwahat Hero s Problem HIGHWAY FACILITY LOCATION Faclty Hgh Way Farm A Farm B Illustrato of the Proof of Hero s Theorem p q s r r l d(p,r) + d(q,r) = d(p,q) p d(p,r ) + d(q,r
More informationMaximum Likelihood Estimation
Marquette Uverst Maxmum Lkelhood Estmato Dael B. Rowe, Ph.D. Professor Departmet of Mathematcs, Statstcs, ad Computer Scece Coprght 08 b Marquette Uverst Maxmum Lkelhood Estmato We have bee sag that ~
More informationLecture 16: Backpropogation Algorithm Neural Networks with smooth activation functions
CO-511: Learg Theory prg 2017 Lecturer: Ro Lv Lecture 16: Bacpropogato Algorthm Dsclamer: These otes have ot bee subected to the usual scruty reserved for formal publcatos. They may be dstrbuted outsde
More informationA Method for Damping Estimation Based On Least Square Fit
Amerca Joural of Egeerg Research (AJER) 5 Amerca Joural of Egeerg Research (AJER) e-issn: 3-847 p-issn : 3-936 Volume-4, Issue-7, pp-5-9 www.ajer.org Research Paper Ope Access A Method for Dampg Estmato
More informationSimulation Output Analysis
Smulato Output Aalyss Summary Examples Parameter Estmato Sample Mea ad Varace Pot ad Iterval Estmato ermatg ad o-ermatg Smulato Mea Square Errors Example: Sgle Server Queueg System x(t) S 4 S 4 S 3 S 5
More informationJournal of Chemical and Pharmaceutical Research, 2014, 6(7): Research Article
Avalable ole www.jocpr.com Joural of Chemcal ad Pharmaceutcal Research, 04, 6(7):4-47 Research Artcle ISSN : 0975-7384 CODEN(USA) : JCPRC5 Predcto of CNG automoble owershp by usg the combed model Ku Huag,
More informationConsistency test of martial arts competition evaluation criteria based on mathematical ahp model
ISSN : 0974-7435 Volume 8 Issue 2 BoTechology BoTechology A Ida Joural Cosstecy test of martal arts competto evaluato crtera based o mathematcal ahp model Hu Wag Isttute of Physcal Educato, JagSu Normal
More informationAnalysis of Lagrange Interpolation Formula
P IJISET - Iteratoal Joural of Iovatve Scece, Egeerg & Techology, Vol. Issue, December 4. www.jset.com ISS 348 7968 Aalyss of Lagrage Iterpolato Formula Vjay Dahya PDepartmet of MathematcsMaharaja Surajmal
More informationModel Fitting, RANSAC. Jana Kosecka
Model Fttg, RANSAC Jaa Kosecka Fttg: Issues Prevous strateges Le detecto Hough trasform Smple parametrc model, two parameters m, b m + b Votg strateg Hard to geeralze to hgher dmesos a o + a + a 2 2 +
More informationANALYSIS ON THE NATURE OF THE BASIC EQUATIONS IN SYNERGETIC INTER-REPRESENTATION NETWORK
Far East Joural of Appled Mathematcs Volume, Number, 2008, Pages Ths paper s avalable ole at http://www.pphm.com 2008 Pushpa Publshg House ANALYSIS ON THE NATURE OF THE ASI EQUATIONS IN SYNERGETI INTER-REPRESENTATION
More informationPGE 310: Formulation and Solution in Geosystems Engineering. Dr. Balhoff. Interpolation
PGE 30: Formulato ad Soluto Geosystems Egeerg Dr. Balhoff Iterpolato Numercal Methods wth MATLAB, Recktewald, Chapter 0 ad Numercal Methods for Egeers, Chapra ad Caale, 5 th Ed., Part Fve, Chapter 8 ad
More informationComparing Different Estimators of three Parameters for Transmuted Weibull Distribution
Global Joural of Pure ad Appled Mathematcs. ISSN 0973-768 Volume 3, Number 9 (207), pp. 55-528 Research Ida Publcatos http://www.rpublcato.com Comparg Dfferet Estmators of three Parameters for Trasmuted
More informationBlock-Based Compact Thermal Modeling of Semiconductor Integrated Circuits
Block-Based Compact hermal Modelg of Semcoductor Itegrated Crcuts Master s hess Defese Caddate: Jg Ba Commttee Members: Dr. Mg-Cheg Cheg Dr. Daqg Hou Dr. Robert Schllg July 27, 2009 Outle Itroducto Backgroud
More information9.1 Introduction to the probit and logit models
EC3000 Ecoometrcs Lecture 9 Probt & Logt Aalss 9. Itroducto to the probt ad logt models 9. The logt model 9.3 The probt model Appedx 9. Itroducto to the probt ad logt models These models are used regressos
More informationCan we take the Mysticism Out of the Pearson Coefficient of Linear Correlation?
Ca we tae the Mstcsm Out of the Pearso Coeffcet of Lear Correlato? Itroducto As the ttle of ths tutoral dcates, our purpose s to egeder a clear uderstadg of the Pearso coeffcet of lear correlato studets
More informationChapter 5 Properties of a Random Sample
Lecture 6 o BST 63: Statstcal Theory I Ku Zhag, /0/008 Revew for the prevous lecture Cocepts: t-dstrbuto, F-dstrbuto Theorems: Dstrbutos of sample mea ad sample varace, relatoshp betwee sample mea ad sample
More informationLINEAR REGRESSION ANALYSIS
LINEAR REGRESSION ANALYSIS MODULE V Lecture - Correctg Model Iadequaces Through Trasformato ad Weghtg Dr. Shalabh Departmet of Mathematcs ad Statstcs Ida Isttute of Techology Kapur Aalytcal methods for
More informationLecture Notes 2. The ability to manipulate matrices is critical in economics.
Lecture Notes. Revew of Matrces he ablt to mapulate matrces s crtcal ecoomcs.. Matr a rectagular arra of umbers, parameters, or varables placed rows ad colums. Matrces are assocated wth lear equatos. lemets
More informationChapter 2 - Free Vibration of Multi-Degree-of-Freedom Systems - II
CEE49b Chapter - Free Vbrato of Mult-Degree-of-Freedom Systems - II We ca obta a approxmate soluto to the fudametal atural frequecy through a approxmate formula developed usg eergy prcples by Lord Raylegh
More information{ }{ ( )} (, ) = ( ) ( ) ( ) Chapter 14 Exercises in Sampling Theory. Exercise 1 (Simple random sampling): Solution:
Chapter 4 Exercses Samplg Theory Exercse (Smple radom samplg: Let there be two correlated radom varables X ad A sample of sze s draw from a populato by smple radom samplg wthout replacemet The observed
More informationESS Line Fitting
ESS 5 014 17. Le Fttg A very commo problem data aalyss s lookg for relatoshpetwee dfferet parameters ad fttg les or surfaces to data. The smplest example s fttg a straght le ad we wll dscuss that here
More informationUnimodality Tests for Global Optimization of Single Variable Functions Using Statistical Methods
Malaysa Umodalty Joural Tests of Mathematcal for Global Optmzato Sceces (): of 05 Sgle - 5 Varable (007) Fuctos Usg Statstcal Methods Umodalty Tests for Global Optmzato of Sgle Varable Fuctos Usg Statstcal
More informationIt is Advantageous to Make a Syllabus as Precise as Possible: Decision-Theoretic Analysis
Joural of Iovatve Techology ad Educato, Vol. 4, 2017, o. 1, 1-5 HIKARI Ltd, www.m-hkar.com https://do.org/10.12988/jte.2017.61146 It s Advatageous to Make a Syllabus as Precse as Possble: Decso-Theoretc
More informationMultivariate Transformation of Variables and Maximum Likelihood Estimation
Marquette Uversty Multvarate Trasformato of Varables ad Maxmum Lkelhood Estmato Dael B. Rowe, Ph.D. Assocate Professor Departmet of Mathematcs, Statstcs, ad Computer Scece Copyrght 03 by Marquette Uversty
More informationi 2 σ ) i = 1,2,...,n , and = 3.01 = 4.01
ECO 745, Homework 6 Le Cabrera. Assume that the followg data come from the lear model: ε ε ~ N, σ,,..., -6. -.5 7. 6.9 -. -. -.9. -..6.4.. -.6 -.7.7 Fd the mamum lkelhood estmates of,, ad σ ε s.6. 4. ε
More informationBezier curve and its application
, 49-55 Receved: 2014-11-12 Accepted: 2015-02-06 Ole publshed: 2015-11-16 DOI: http://dx.do.org/10.15414/meraa.2015.01.02.49-55 Orgal paper Bezer curve ad ts applcato Duša Páleš, Jozef Rédl Slovak Uversty
More informationA Novel Algorithm for Criminal Statistical Processing
d Iteratoal Coferece o Electrcal, Computer Egeerg ad Electrocs (ICECEE 05) A Novel Algorthm for Crmal Statstcal Processg LIN Jahu, a *, Che J,b Departmet of Iformato Techology, Hube Uversty of Polce, P.R.
More informationMEASURES OF DISPERSION
MEASURES OF DISPERSION Measure of Cetral Tedecy: Measures of Cetral Tedecy ad Dsperso ) Mathematcal Average: a) Arthmetc mea (A.M.) b) Geometrc mea (G.M.) c) Harmoc mea (H.M.) ) Averages of Posto: a) Meda
More informationRegression and the LMS Algorithm
CSE 556: Itroducto to Neural Netorks Regresso ad the LMS Algorthm CSE 556: Regresso 1 Problem statemet CSE 556: Regresso Lear regresso th oe varable Gve a set of N pars of data {, d }, appromate d b a
More informationComparison of Dual to Ratio-Cum-Product Estimators of Population Mean
Research Joural of Mathematcal ad Statstcal Sceces ISS 30 6047 Vol. 1(), 5-1, ovember (013) Res. J. Mathematcal ad Statstcal Sc. Comparso of Dual to Rato-Cum-Product Estmators of Populato Mea Abstract
More informationMean is only appropriate for interval or ratio scales, not ordinal or nominal.
Mea Same as ordary average Sum all the data values ad dvde by the sample sze. x = ( x + x +... + x Usg summato otato, we wrte ths as x = x = x = = ) x Mea s oly approprate for terval or rato scales, ot
More informationBERNSTEIN COLLOCATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS. Aysegul Akyuz Dascioglu and Nese Isler
Mathematcal ad Computatoal Applcatos, Vol. 8, No. 3, pp. 293-300, 203 BERNSTEIN COLLOCATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS Aysegul Ayuz Dascoglu ad Nese Isler Departmet of Mathematcs,
More informationChapter 4 (Part 1): Non-Parametric Classification (Sections ) Pattern Classification 4.3) Announcements
Aoucemets No-Parametrc Desty Estmato Techques HW assged Most of ths lecture was o the blacboard. These sldes cover the same materal as preseted DHS Bometrcs CSE 90-a Lecture 7 CSE90a Fall 06 CSE90a Fall
More informationDepartment of Agricultural Economics. PhD Qualifier Examination. August 2011
Departmet of Agrcultural Ecoomcs PhD Qualfer Examato August 0 Istructos: The exam cossts of sx questos You must aswer all questos If you eed a assumpto to complete a questo, state the assumpto clearly
More informationA new type of optimization method based on conjugate directions
A ew type of optmzato method based o cojugate drectos Pa X Scece School aj Uversty of echology ad Educato (UE aj Cha e-mal: pax94@sacom Abstract A ew type of optmzato method based o cojugate drectos s
More informationResearch Article A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix
Mathematcal Problems Egeerg Volume 05 Artcle ID 94757 7 pages http://ddoorg/055/05/94757 Research Artcle A New Dervato ad Recursve Algorthm Based o Wroska Matr for Vadermode Iverse Matr Qu Zhou Xja Zhag
More informationLecture 3. Sampling, sampling distributions, and parameter estimation
Lecture 3 Samplg, samplg dstrbutos, ad parameter estmato Samplg Defto Populato s defed as the collecto of all the possble observatos of terest. The collecto of observatos we take from the populato s called
More information4. Standard Regression Model and Spatial Dependence Tests
4. Stadard Regresso Model ad Spatal Depedece Tests Stadard regresso aalss fals the presece of spatal effects. I case of spatal depedeces ad/or spatal heterogeet a stadard regresso model wll be msspecfed.
More informationUnsupervised Learning and Other Neural Networks
CSE 53 Soft Computg NOT PART OF THE FINAL Usupervsed Learg ad Other Neural Networs Itroducto Mture Destes ad Idetfablty ML Estmates Applcato to Normal Mtures Other Neural Networs Itroducto Prevously, all
More informationMULTIDIMENSIONAL HETEROGENEOUS VARIABLE PREDICTION BASED ON EXPERTS STATEMENTS. Gennadiy Lbov, Maxim Gerasimov
Iteratoal Boo Seres "Iformato Scece ad Computg" 97 MULTIIMNSIONAL HTROGNOUS VARIABL PRICTION BAS ON PRTS STATMNTS Geady Lbov Maxm Gerasmov Abstract: I the wors [ ] we proposed a approach of formg a cosesus
More informationTRIANGULAR MEMBERSHIP FUNCTIONS FOR SOLVING SINGLE AND MULTIOBJECTIVE FUZZY LINEAR PROGRAMMING PROBLEM.
Abbas Iraq Joural of SceceVol 53No 12012 Pp. 125-129 TRIANGULAR MEMBERSHIP FUNCTIONS FOR SOLVING SINGLE AND MULTIOBJECTIVE FUZZY LINEAR PROGRAMMING PROBLEM. Iraq Tarq Abbas Departemet of Mathematc College
More informationMultiple Choice Test. Chapter Adequacy of Models for Regression
Multple Choce Test Chapter 06.0 Adequac of Models for Regresso. For a lear regresso model to be cosdered adequate, the percetage of scaled resduals that eed to be the rage [-,] s greater tha or equal to
More information0/1 INTEGER PROGRAMMING AND SEMIDEFINTE PROGRAMMING
CONVEX OPIMIZAION AND INERIOR POIN MEHODS FINAL PROJEC / INEGER PROGRAMMING AND SEMIDEFINE PROGRAMMING b Luca Buch ad Natala Vktorova CONENS:.Itroducto.Formulato.Applcato to Kapsack Problem 4.Cuttg Plaes
More informationBayes (Naïve or not) Classifiers: Generative Approach
Logstc regresso Bayes (Naïve or ot) Classfers: Geeratve Approach What do we mea by Geeratve approach: Lear p(y), p(x y) ad the apply bayes rule to compute p(y x) for makg predctos Ths s essetally makg
More informationGeneralized Linear Regression with Regularization
Geeralze Lear Regresso wth Regularzato Zoya Bylsk March 3, 05 BASIC REGRESSION PROBLEM Note: I the followg otes I wll make explct what s a vector a what s a scalar usg vec t or otato, to avo cofuso betwee
More informationA COMPARATIVE STUDY OF THE METHODS OF SOLVING NON-LINEAR PROGRAMMING PROBLEM
DAODIL INTERNATIONAL UNIVERSITY JOURNAL O SCIENCE AND TECHNOLOGY, VOLUME, ISSUE, JANUARY 9 A COMPARATIVE STUDY O THE METHODS O SOLVING NON-LINEAR PROGRAMMING PROBLEM Bmal Chadra Das Departmet of Tetle
More informationECONOMETRIC THEORY. MODULE VIII Lecture - 26 Heteroskedasticity
ECONOMETRIC THEORY MODULE VIII Lecture - 6 Heteroskedastcty Dr. Shalabh Departmet of Mathematcs ad Statstcs Ida Isttute of Techology Kapur . Breusch Paga test Ths test ca be appled whe the replcated data
More informationThird handout: On the Gini Index
Thrd hadout: O the dex Corrado, a tala statstca, proposed (, 9, 96) to measure absolute equalt va the mea dfferece whch s defed as ( / ) where refers to the total umber of dvduals socet. Assume that. The
More informationChapter 14 Logistic Regression Models
Chapter 4 Logstc Regresso Models I the lear regresso model X β + ε, there are two types of varables explaatory varables X, X,, X k ad study varable y These varables ca be measured o a cotuous scale as
More informationEvaluating Polynomials
Uverst of Nebraska - Lcol DgtalCommos@Uverst of Nebraska - Lcol MAT Exam Expostor Papers Math the Mddle Isttute Partershp 7-7 Evaluatg Polomals Thomas J. Harrgto Uverst of Nebraska-Lcol Follow ths ad addtoal
More informationChapter 11 Systematic Sampling
Chapter stematc amplg The sstematc samplg techue s operatoall more coveet tha the smple radom samplg. It also esures at the same tme that each ut has eual probablt of cluso the sample. I ths method of
More informationCHAPTER VI Statistical Analysis of Experimental Data
Chapter VI Statstcal Aalyss of Expermetal Data CHAPTER VI Statstcal Aalyss of Expermetal Data Measuremets do ot lead to a uque value. Ths s a result of the multtude of errors (maly radom errors) that ca
More informationSTRONG CONSISTENCY FOR SIMPLE LINEAR EV MODEL WITH v/ -MIXING
Joural of tatstcs: Advaces Theory ad Alcatos Volume 5, Number, 6, Pages 3- Avalable at htt://scetfcadvaces.co. DOI: htt://d.do.org/.864/jsata_7678 TRONG CONITENCY FOR IMPLE LINEAR EV MODEL WITH v/ -MIXING
More informationDIFFERENTIAL GEOMETRIC APPROACH TO HAMILTONIAN MECHANICS
DIFFERENTIAL GEOMETRIC APPROACH TO HAMILTONIAN MECHANICS Course Project: Classcal Mechacs (PHY 40) Suja Dabholkar (Y430) Sul Yeshwath (Y444). Itroducto Hamltoa mechacs s geometry phase space. It deals
More informationf f... f 1 n n (ii) Median : It is the value of the middle-most observation(s).
CHAPTER STATISTICS Pots to Remember :. Facts or fgures, collected wth a defte pupose, are called Data.. Statstcs s the area of study dealg wth the collecto, presetato, aalyss ad terpretato of data.. The
More informationAssignment 5/MATH 247/Winter Due: Friday, February 19 in class (!) (answers will be posted right after class)
Assgmet 5/MATH 7/Wter 00 Due: Frday, February 9 class (!) (aswers wll be posted rght after class) As usual, there are peces of text, before the questos [], [], themselves. Recall: For the quadratc form
More informationC.11 Bang-bang Control
Itroucto to Cotrol heory Iclug Optmal Cotrol Nguye a e -.5 C. Bag-bag Cotrol. Itroucto hs chapter eals wth the cotrol wth restrctos: s boue a mght well be possble to have scotutes. o llustrate some of
More information