Saliency and Active Contour based Traffic Sign Detection

Size: px
Start display at page:

Download "Saliency and Active Contour based Traffic Sign Detection"

Transcription

1 ISSN , England, UK Journal of Informaton and Computng Scence Vol. 7, No. 3, 01, pp Salency and ctve Contour based Traffc Sgn Detecton Shangbng Gao 1 and Yunyang Yan 1 1 The School Computer Engneerng, Huayn Insttute of Technology, Hua an, 3003, P.R.Chna (Receved January 5, 01, accepted May 0, 01) bstract. In ths paper, we propose a new approach to detect salent traffc sgns, whch s based on vsual salency and auto-generated strokes for mage segmentaton. The proposed algorthm deals wth two tasks on detectng traffc sgns: auto-locaton and auto extracton. Frstly, nspred by recent work of vsual salency detecton, we obtan the locaton of traffc sgns n a natural mage by mult-scale prncple component analyss (MPC). Secondly, n order to extract traffc sgns, auto-generated strokes are used nstead of drawng the strokes by the users, the sgn board area s extracted usng localzng Regon-Based ctve Contour. Extensve experments on publc datasets show that our approach outperforms state-of-the-art methods remarkably n salent traffc sgn detecton. Moreover, the proposed detecton method has hgher accurate rate and robustness to dfferent natural scenes. Keywords: Multscale; Image segmentaton; actve contour; traffc sgn 1. Introducton utomatc extracton of traffc sgn s a hot topc of ntellgent transportaton systems [1]. It has been wdely appled n many applcatons such as: drvng safety and automatc vehcle gudance etc. Traffc sgn detecton has two key goals: locaton and extracton. Because of complex traffc sgn mages, color-based and shape-based methods can not rapdly fnd the obect and deal wth llumnaton, vewpont change. For example, Loy et al. [] appled the radal symmetry algorthm [3] to detect regular polygons, whch needs to set parameters n advance and unft for all the sgns. Moreover, the fully automatc segmentaton of traffc sgn from the background s very dffcult; and there s not a mature and ntegrated method for traffc sgn detecton system untl now. Therefore, to develop a real-tme and accurate road traffc sgn detecton system has been a challengng task n computer vson. Humans can dentfy salent areas n ther vsual felds wth surprsng speed and accuracy before performng actual recognton. Computatonally detectng such salent mage regons remans a sgnfcant goal, as t allows preferental allocaton of computatonal resources n subsequent mage analyss and synthess. number of very nsprng and mature salency models have been recently ntroduced n the lterature. Itt et al. [4] ntroduced a salency model whch was bologcally nspred. Specfcally, they proposed the use of a set of feature maps from three complementary channels as ntensty, color, and orentaton. The normalzed feature maps from each channel were then lnearly combned to generate the overall salency map. Based on Itt s algorthm, many salency models have appeared, such as, SR [5], Duan s method[6]. Our work s nspred by [6] whch defned the salency n three elements: dssmlarty, spatal dstance and central bas. Motvated by Duan s model, a new salency model s proposed based on mult-scale prncple component analyss (MPC). We use frst two nformaton to measurng the patch s salency value. The central bas, whch based on the prncple that domnant obects often rase to the center of the mage, s proposed by [7]. Ths underlyng hypothess brngs two problems. Frst, background near the center of mage maybe more salent than the foreground whch s far away from the center. Second, for a salent obect, the part near the center s more salent than that far away from the center. To dmnsh ths effect, we gve up the central bas and use the multple scales to decrease the salency of background patches, mprovng the contrast between salent and non-salent. We get traffc sgn s locaton usng the proposed algorthm. Based on an nteractve segmentaton method proposed by Shawn et al. [8], whch s sem-automatc mage segmentaton. In order to extract traffc Correspondng author. Tel.: E-mal address: luxaofen_00@16.com Publshed by World cademc Press, World cademc Unon

2 36 Shangbng Gao, et al: Salency and ctve Contour based Traffc Sgn Detecton sgn regon, we acheve automatc segmentaton by auto-generatng strokes after locaton. The proposed algorthm can make salent regon more sgnfcant than Duan s algorthm, as shown Fg.1, and has good robustness to adverse envronment. (a) (b) (c) (d) (e) (f) Fgure 1. n example of traffc sgn detecton. (a) Orgnal mage; (b)salency map by Duan s method; (c) Salency map by MPC; (d) Bnary map; (e) uto-generated strokes; (f) Extracton result. Ths paper s organzed as follows: secton descrbes the proposed traffc sgn detecton method; secton 3 performs extensve experments to verfy the proposed method; and secton 4 shows the concluson of ths paper.. THE PROPOSED TRFFIC SIGNS DETECTION METHOD Vsual salency often appears n all knds of vsual scales, dfferent regons also have dfferent vsual attenton. In order to comprehensvely consder localty and ntegrty for the mage salency regon, n ths paper, we present an mproved algorthm (MPC) on the bass of Duan s model to compute traffc sgn salency map. nd then we extract traffc sgn part from orgnal mage usng automatc segmentaton method obtaned by loadng auto-generated strokes..1. Mult-scale PC method Gven an mage I wth dmenson H W, non-overlappng patches wth the sze of n n pxels are L H / n W / n. Denote the patch as p, 1,,, L. drawn from t. The total number of patches s Then each patch s represented as a column vector x of pxel values. The length of the vector s 3k snce the color space has three components. Fnally, we get a sample matrx X [ x1, x,, xl], L s the total number of patches as stated above. To effectvely descrbe patches n a relatvely low dmensonal space, we used an equvalent method to PC to reduce data dmenson. Each column n the matrx X subtracts the average along the columns. Then, we T calculated the co-smlarty matrx ( X X ) / L, so the sze of the matrx s L L.The egenvalues and egenvectors were calculated based on the matrx selected wth ther T egenvector U [ u1, u,, u d ] accordng to the bggest d egenvalues, where u s an egenvector. The sze of the matrxu s d L. New algorthm consders two factors for evaluatng the salency: the dssmlartes of color between mage patches n a reduced dmensonal space, and ther spatal dstance. patch s salent f the color of ts pxels s unque. We should not, however, look at an solated patch, but rather at ts surroundng patches, whch lead to a center-surroundng contrast. Thus, a patch p s consdered salent f the appearance of the patch p s dstnctve wth respect to all other mage patches. Specfcally, let dstcolor ( p, p ) be the dstance between the patches p and p n the reduced dmensonal space. Patch p s consdered salent when dst p, p ) s hgh for. dst color color ( d ( p, p ) u u (1) n1 n The postonal dstance between patches s also an mportant factor. Generally speakng, background patches are lkely to have many smlar patches both near and far-away n the mage. It s n contrast to salent n JIC emal for contrbuton: edtor@c.org.uk

3 Journal of Informaton and Computng Scence, Vol. 7 (01) No.3, pp p s salent when the patches patches that the latter tend to be grouped together. Ths mples that a patch smlar to t are nearby, and t s less salent when the resemblng patches are far away. Let dst ( p, p ) be the Eucldean dstance between the postons of patches p and p, whch s represented by the two centers of patches p and p n the mage, normalzed by the larger mage dmenson. Based on the observatons above we defne a dssmlarty measure between a par of patches p and p as: dssmlarty( p, p dstcolor( p, p ) 1 dst( p, p ) ) Ths dssmlarty measure s proportonal to the dfference n appearance and nverse proportonal to the postonal dstance. To evaluate a patch s unqueness, we can compute the dssmlarty between the patch and all of other patches and take the sum of these dssmlartes as the salency of related patch. In practce, there s no need to ncorporate ts dssmlarty to all other mage patches. It suffces to consder the K most smlar patches that f the most smlar patches are hghly dfferent from p, then clearly all mage patches are hghly dfferent from p. Hence, for every patch p, we search for the K most smlar patches { q }, 1,,, K n the mage, accordng to (). Under ths defnton, our algorthm that measures the salency value from the perspectve of global nformaton and local nformaton s dfferent from global salency detecton [0] and Duan s method [6]. patch p s salent when dssmlarty( p, qk ) s hgh for k [ 1, K]. The salency of patch p s defned as (we choose K 100 n our experments): K 1 S 1 exp{ dssmlarty( p, qk )} (3) K k 1 Based on the observaton that patches n background are lkely to have smlar patches at multple scales, whch s n contrast to more salent patches that could have smlar patches at a few scales but not at all of them(it s equal to the prncple proposed by [10] that salent obect always smaller than the background). Therefore, we wsh to ncorporate multple scales to further decrease the salency of background patches, mprovng the contrast between salent and non-salent regons. In addton, the patch wth large scale can not descrbe the boundary of small salent obect. So we hope to use dfferent scales that large scale to detect the whole nformaton and the small scale to descrbe the salent obect n detals. Last, we comple all salency value nto fnal salency. The results of dfferent scales and the fnal result llustrated n Fg.1. The number of PCs set to 4. a b c d e Fgure.Our method usng dfferent scales. a.nput, b.scale=30, c. sacle=0, d.scale=10, e. fnal result For a patch p of scale r, the salency value accordng to (3) s defned as K r 1 r r S 1 exp{ dssmlarty( p, qk )} K k 1 We consder the scales R r, r,, r }, usng (4) to calculate the salency of patch as { c { 1 M r 1 r r S, S,, S M }. The fnal salency s computng as S 1 r S M r R c (5) JIC emal for subscrpton: publshng@wu.org.uk

4 38 Shangbng Gao, et al: Salency and ctve Contour based Traffc Sgn Detecton.. Traffc sgns extracton Salency map only provdes coarse nformaton about where traffc sgns locate n the orgnal mage. Traffc sgn extracton s also an mportant task and necessary for road traffc sgn recognton work. Image segmentaton can be appled to extract the promnent regons. In very complex mages the fully automatc segmentaton of the obect from the background s very dffcult. In [4], Shawn et.al proposed a natural framework that allows any regon-based segmentaton energy to be reformulated n a local way. For example, we choose the global regon-based energy that uses mean ntenstes s the one proposed by Yezz et al. [9] whch we refer to as mean separaton energy: E MS ( u - v) (6) y where u and v represents the global mean ntenstes of the nteror and exteror regons, respectvely. Optmzng ths energy causes that the nteror and exteror means have the largest dfference possble. B( x, y) s ntroduced to mask local regons. Ths functon B ( x, y) wll be 1 when the pont y s wthn a ball of radus r centered at x, and 0 otherwse. ccordngly, the correspondng F s formed by localzng the global energy wth local mean equvalents as shown: F ( ) MS ux vx (7) We can get the followng local regon-based flow: ( I( y) ux)) ( I ( y) v ( x) B( x, y) ( y) ( x)) ( x) t ) dy ( x) dv( ) (8) y ( x) where u and u v v are the areas of the local nteror and local exteror regons respectvely gven by u B( x, y) H( y) dy (9) y v B( x, y) H (1 ( y)) dy (10) y Two closed curve lnes are marked n an orgnal mage as the obect marker and the background marker respectvely. s shown Fg.1 (e), the green lne s the obect marker and the blue lne s the background marker. 3. Expermental results Our algorthm s mplemented n Matlab 7.0 on a.8-ghz Intel Pentum IV PC. Extensve experments are performed to valdate the proposed method. Frst, we compare the proposed MPC wth Itt s model, SR and Duan s models n salency evaluaton, as shown Fg.3. Fnally, we test the proposed algorthm under dfferent surroundngs, as shown Fg.4. all the mages for test are ganed from webste and publc datasets n our experments, ncludng dfferent scene condtons, dfferent colors and shapes Evaluaton and comparson wth other salency models To compare our results wth [6], we chose 11 as reduced dmenson whch s the best value to maxmze salency predctons. For the patch sze, we choose { 30,0,10 } because better results are easy to obtanng n these values [6]. We obtaned an overall salency map by usng YCbCr color space n all experments. Some vsual results of our algorthm are compared wth state-of-art methods n Fg. 3. Note that our method s much less senstve to background texture, whch s dfferent from Itt s method, Duan s method and SR. However, our vsual salency model can accurately fnd traffc sgn area and keep complete area nformaton, makng the road traffc regon more promnent than other models. 3.. Results by usng the proposed method n dfferent scenes We apply our method to test ts performance on some adverse condtons, such as some traffc sgns affected by llumnaton changes, occluson, rotaton, and shadow, dfferent szes. Fg.4 (a) shows the detecton results usng the proposed model on some unfavorable condtons. Expermental results show the proposed method can make traffc sgn regon popup n an mage of even bad envronment and robust to vewpont change and nsuffcent llumnaton. Fg.4 (b) shows the expermental results of the proposed traffc sgn detecton model n varous suburban and hghway scenes. The smple background on hghway scene can JIC emal for contrbuton: edtor@c.org.uk

5 Journal of Informaton and Computng Scence, Vol. 7 (01) No.3, pp make the detecton more convenent. However, n urban areas and campus as shown Fg.4 (c), there may be some complex vsual obects, such as trees and buldngs, pedestrans and motor vehcles. Traffc sgn detecton becomes more dffcult f only usng color-based and shape-based detecton method. From expermental results, we can see the proposed model s also nvarant to traffc sgn scale change, and our model does not rely on the sze and shape of traffc sgn, and can stll accurately detect traffc sgn area n complex scene. Fgure 3. The comparson of traffc sgns salency maps. Second row: salency maps by Itt s model [4]; Thrd row: salency maps by SR; Fourth row: salency maps by Duan s method; Ffth row: salency maps by MPC model. (a) dverse road condtons (b) Hghway scene (c) Urban area and campus road scenes Fgure 4. Results of traffc sgn detecton usng the proposed model n dfferent condtons. (a) Expermental results of traffc sgns affected by adverse external factors contanng tlted, nsuffcent llumnaton and dustsandstorm weather; (b) Expermental results of hghway sgns n dfferent szes and smple background; (c) Expermental results of road sgns wth complex background n urban area and campus. 4. Concluson JIC emal for subscrpton: publshng@wu.org.uk

6 40 Shangbng Gao, et al: Salency and ctve Contour based Traffc Sgn Detecton In ths paper we ntroduce a multscale detecton method of vsual percepton based on Duan s model to obtan more salent area and lessen redundant nformaton. Frstly, we obtan multscale mages usng PC, then compute salency maps and label n orgnal mages, fnally extract traffc sgns area by automatc mage segmentaton. Through computng auto-generated strokes mage n advance, we can realze automatc segmentaton for traffc sgns. The proposed algorthm could deal wth traffc sgns n the presence of lght, scale and vewpont change, expermental results test our model can acheve a hgh detecton rate. But the proposed algorthm has some lmtatons for qute a few complcated pctures, n the future work, we wll consder mprovng the algorthm, and make t more unversal for all the traffc sgns. cknowledgements Ths work was supported by the grant from Natural Scence Research Proect of Jangsu Provncal Colleges and Unverstes, No. 11KJD50003, Natural Scence Research Key Proect of Jangsu Provncal Colleges and Unverstes, No. 11KJ460001, the Jang Su Qng Lan proect and Hua an produce-learnresearch proects, No. HC01113, HSZ01104 HG HG011041, fund of Hua an 533 proect 5. References [1] Kastrnak, V. and Zervaks, M. and Kalatzaks, K, survey of vdeo processng technques for traffc applcatons, Journal Image and Vson Computng, 1(4)(004), pp [] G. Loy and N. Barnes, Fast shape-based road sgn detecton for a drver assstance system, n Pro. IEEE/RSJ Intellgent Robots and Systems, 1(004),pp [3] G. Loy and. Zelnsky, Fast radal symmetry for detectng ponts of nterest, IEEE Transactons on Pattern nalyss and Machne Intellgence, 5(8) (003), pp [4] L. Itt, C. Koch, and E. Nebur, model of salency-based vsual attenton for rapd scene analyss, IEEE Transactons on Pattern nalyss and Machne Intellgence, 0(11)(1998), pp [5] Hou X.D, Zhang L.Q, Salency detecton: spectral resdual approach, In IEEE Conf Computer Vson and Pattern Recognton, (007),pp.1-8. [6] L. Duan, C.Wu, J. Mao, L. Qng and Y. Fu, Vsual Salency Detecton by Spatally Weghted Dssmlarty, IEEE Conference on Computer Vson and Pattern Recognton (CVPR),(011),pages 1-3. [7] B. W. Tatler, The central fxaton bas n scene vewng: Selectng an optmal vewng poston ndependently of motor bases and mage feature dstrbutons, Journal of Vson, 7(14)(007), pages [8] Shawn Lankton,llen Tannenbaum, Localzng Regon-Based ctve Contours, IEEE Transactons on Image processng, 17(11)(008),pp [9] J.. Yezz,. Tsa, and.wllsky, fully global approach to mage segmentaton va coupled curve evoluton equatons, Journal of Vsual Communcaton and Image Representaton, 13(1) (00),pp JIC emal for contrbuton: edtor@c.org.uk

A Saliency Detection Technique Considering Self- and Mutual-Information

A Saliency Detection Technique Considering Self- and Mutual-Information IJBCH IJBCH(2014-0x-xx-xx) Orgnal Artcle HORT-LENGTH PAPER Bomedcal oft Computng and Human cences, Vol.19, No.1, pp.69-73 Bomedcal oft Computng and Human cences, Vol.x,No.x,pp.000-000) Copyrght1995 Bomedcal

More information

A New Scrambling Evaluation Scheme based on Spatial Distribution Entropy and Centroid Difference of Bit-plane

A New Scrambling Evaluation Scheme based on Spatial Distribution Entropy and Centroid Difference of Bit-plane A New Scramblng Evaluaton Scheme based on Spatal Dstrbuton Entropy and Centrod Dfference of Bt-plane Lang Zhao *, Avshek Adhkar Kouch Sakura * * Graduate School of Informaton Scence and Electrcal Engneerng,

More information

BACKGROUND SUBTRACTION WITH EIGEN BACKGROUND METHODS USING MATLAB

BACKGROUND SUBTRACTION WITH EIGEN BACKGROUND METHODS USING MATLAB BACKGROUND SUBTRACTION WITH EIGEN BACKGROUND METHODS USING MATLAB 1 Ilmyat Sar 2 Nola Marna 1 Pusat Stud Komputas Matematka, Unverstas Gunadarma e-mal: lmyat@staff.gunadarma.ac.d 2 Pusat Stud Komputas

More information

The Order Relation and Trace Inequalities for. Hermitian Operators

The Order Relation and Trace Inequalities for. Hermitian Operators Internatonal Mathematcal Forum, Vol 3, 08, no, 507-57 HIKARI Ltd, wwwm-hkarcom https://doorg/0988/mf088055 The Order Relaton and Trace Inequaltes for Hermtan Operators Y Huang School of Informaton Scence

More information

An Improved multiple fractal algorithm

An Improved multiple fractal algorithm Advanced Scence and Technology Letters Vol.31 (MulGraB 213), pp.184-188 http://dx.do.org/1.1427/astl.213.31.41 An Improved multple fractal algorthm Yun Ln, Xaochu Xu, Jnfeng Pang College of Informaton

More information

CS 468 Lecture 16: Isometry Invariance and Spectral Techniques

CS 468 Lecture 16: Isometry Invariance and Spectral Techniques CS 468 Lecture 16: Isometry Invarance and Spectral Technques Justn Solomon Scrbe: Evan Gawlk Introducton. In geometry processng, t s often desrable to characterze the shape of an object n a manner that

More information

Regularized Discriminant Analysis for Face Recognition

Regularized Discriminant Analysis for Face Recognition 1 Regularzed Dscrmnant Analyss for Face Recognton Itz Pma, Mayer Aladem Department of Electrcal and Computer Engneerng, Ben-Guron Unversty of the Negev P.O.Box 653, Beer-Sheva, 845, Israel. Abstract Ths

More information

Supporting Information

Supporting Information Supportng Informaton The neural network f n Eq. 1 s gven by: f x l = ReLU W atom x l + b atom, 2 where ReLU s the element-wse rectfed lnear unt, 21.e., ReLUx = max0, x, W atom R d d s the weght matrx to

More information

Kernel Methods and SVMs Extension

Kernel Methods and SVMs Extension Kernel Methods and SVMs Extenson The purpose of ths document s to revew materal covered n Machne Learnng 1 Supervsed Learnng regardng support vector machnes (SVMs). Ths document also provdes a general

More information

An Improved Computational Approach for Salient Region Detection

An Improved Computational Approach for Salient Region Detection JOURAL OF COPUTERS, VOL. 5, O. 7, JULY 200 0 An Improved Computatonal Approach for Salent Regon Detecton Qaorong Zhang, 2, Habo Lu, Jng Shen, Guochang Gu College of Computer Scence and Technology, Harbn

More information

Image Processing for Bubble Detection in Microfluidics

Image Processing for Bubble Detection in Microfluidics Image Processng for Bubble Detecton n Mcrofludcs Introducton Chen Fang Mechancal Engneerng Department Stanford Unverst Startng from recentl ears, mcrofludcs devces have been wdel used to buld the bomedcal

More information

Hongyi Miao, College of Science, Nanjing Forestry University, Nanjing ,China. (Received 20 June 2013, accepted 11 March 2014) I)ϕ (k)

Hongyi Miao, College of Science, Nanjing Forestry University, Nanjing ,China. (Received 20 June 2013, accepted 11 March 2014) I)ϕ (k) ISSN 1749-3889 (prnt), 1749-3897 (onlne) Internatonal Journal of Nonlnear Scence Vol.17(2014) No.2,pp.188-192 Modfed Block Jacob-Davdson Method for Solvng Large Sparse Egenproblems Hongy Mao, College of

More information

A Robust Method for Calculating the Correlation Coefficient

A Robust Method for Calculating the Correlation Coefficient A Robust Method for Calculatng the Correlaton Coeffcent E.B. Nven and C. V. Deutsch Relatonshps between prmary and secondary data are frequently quantfed usng the correlaton coeffcent; however, the tradtonal

More information

Rotation Invariant Shape Contexts based on Feature-space Fourier Transformation

Rotation Invariant Shape Contexts based on Feature-space Fourier Transformation Fourth Internatonal Conference on Image and Graphcs Rotaton Invarant Shape Contexts based on Feature-space Fourer Transformaton Su Yang 1, Yuanyuan Wang Dept of Computer Scence and Engneerng, Fudan Unversty,

More information

Unified Subspace Analysis for Face Recognition

Unified Subspace Analysis for Face Recognition Unfed Subspace Analyss for Face Recognton Xaogang Wang and Xaoou Tang Department of Informaton Engneerng The Chnese Unversty of Hong Kong Shatn, Hong Kong {xgwang, xtang}@e.cuhk.edu.hk Abstract PCA, LDA

More information

CONTRAST ENHANCEMENT FOR MIMIMUM MEAN BRIGHTNESS ERROR FROM HISTOGRAM PARTITIONING INTRODUCTION

CONTRAST ENHANCEMENT FOR MIMIMUM MEAN BRIGHTNESS ERROR FROM HISTOGRAM PARTITIONING INTRODUCTION CONTRAST ENHANCEMENT FOR MIMIMUM MEAN BRIGHTNESS ERROR FROM HISTOGRAM PARTITIONING N. Phanthuna 1,2, F. Cheevasuvt 2 and S. Chtwong 2 1 Department of Electrcal Engneerng, Faculty of Engneerng Rajamangala

More information

Pop-Click Noise Detection Using Inter-Frame Correlation for Improved Portable Auditory Sensing

Pop-Click Noise Detection Using Inter-Frame Correlation for Improved Portable Auditory Sensing Advanced Scence and Technology Letters, pp.164-168 http://dx.do.org/10.14257/astl.2013 Pop-Clc Nose Detecton Usng Inter-Frame Correlaton for Improved Portable Audtory Sensng Dong Yun Lee, Kwang Myung Jeon,

More information

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers

Psychology 282 Lecture #24 Outline Regression Diagnostics: Outliers Psychology 282 Lecture #24 Outlne Regresson Dagnostcs: Outlers In an earler lecture we studed the statstcal assumptons underlyng the regresson model, ncludng the followng ponts: Formal statement of assumptons.

More information

The Study of Teaching-learning-based Optimization Algorithm

The Study of Teaching-learning-based Optimization Algorithm Advanced Scence and Technology Letters Vol. (AST 06), pp.05- http://dx.do.org/0.57/astl.06. The Study of Teachng-learnng-based Optmzaton Algorthm u Sun, Yan fu, Lele Kong, Haolang Q,, Helongang Insttute

More information

Image Saliency Detection Algorithm Based on Super Pixels Partition Wenwen Pana, Xiaofei Sunb, Xia Wangc, Tao Xud, Lina Gonge

Image Saliency Detection Algorithm Based on Super Pixels Partition Wenwen Pana, Xiaofei Sunb, Xia Wangc, Tao Xud, Lina Gonge 4th Internatonal Conference on Advanced Materals and Informaton Technology Processng (AMITP 2016) Image Salency Detecton Algorthm Based on Super Pxels Partton Wenwen Pana, Xaofe Sunb, Xa Wangc, Tao Xud,

More information

Image Cropping by Patches Dissimilarities

Image Cropping by Patches Dissimilarities , pp.79-88 http://dx.do.org/10.14257/sp.2015.8.8.09 Image Croppng by Patches Dssmlartes Shangbng Gao * 1,2, Youdong Zhang 1, Wanl Feng 1 and Dashan Chen 2 1. Faculty of Computer Engneerng, Huayn Insttute

More information

ECE559VV Project Report

ECE559VV Project Report ECE559VV Project Report (Supplementary Notes Loc Xuan Bu I. MAX SUM-RATE SCHEDULING: THE UPLINK CASE We have seen (n the presentaton that, for downlnk (broadcast channels, the strategy maxmzng the sum-rate

More information

Chapter 13: Multiple Regression

Chapter 13: Multiple Regression Chapter 13: Multple Regresson 13.1 Developng the multple-regresson Model The general model can be descrbed as: It smplfes for two ndependent varables: The sample ft parameter b 0, b 1, and b are used to

More information

COMPUTATIONALLY EFFICIENT WAVELET AFFINE INVARIANT FUNCTIONS FOR SHAPE RECOGNITION. Erdem Bala, Dept. of Electrical and Computer Engineering,

COMPUTATIONALLY EFFICIENT WAVELET AFFINE INVARIANT FUNCTIONS FOR SHAPE RECOGNITION. Erdem Bala, Dept. of Electrical and Computer Engineering, COMPUTATIONALLY EFFICIENT WAVELET AFFINE INVARIANT FUNCTIONS FOR SHAPE RECOGNITION Erdem Bala, Dept. of Electrcal and Computer Engneerng, Unversty of Delaware, 40 Evans Hall, Newar, DE, 976 A. Ens Cetn,

More information

LINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity

LINEAR REGRESSION ANALYSIS. MODULE IX Lecture Multicollinearity LINEAR REGRESSION ANALYSIS MODULE IX Lecture - 30 Multcollnearty Dr. Shalabh Department of Mathematcs and Statstcs Indan Insttute of Technology Kanpur 2 Remedes for multcollnearty Varous technques have

More information

AN ADAPTIVE WATERMARKING ALGORITHM FOR DEM BASED ON DFT

AN ADAPTIVE WATERMARKING ALGORITHM FOR DEM BASED ON DFT AN ADAPTIVE WATERMARKING ALGORITHM FOR DEM BASED ON DFT Changqng Zhu 1 Zhwe Wang 2 Y Long 1 Chengsong Yang 2 1 Key Laboratory of Vrtual Geographc Envronment, Nanjng Normal Unversty, Nanjng 210054;2 Insttute

More information

Chapter Newton s Method

Chapter Newton s Method Chapter 9. Newton s Method After readng ths chapter, you should be able to:. Understand how Newton s method s dfferent from the Golden Secton Search method. Understand how Newton s method works 3. Solve

More information

Definition of the Logistics Park Hinterland Based on the Analysis of Spatial Medium Effect Applying to Weighted Voronoi Diagram

Definition of the Logistics Park Hinterland Based on the Analysis of Spatial Medium Effect Applying to Weighted Voronoi Diagram 2016 Internatonal Congress on Computaton lgorthms n Engneerng (ICCE 2016) ISBN: 978-1-60595-386-1 Defnton of the Logstcs Park Hnterland Based on the nalyss of Spatal Medum Effect pplyng to Weghted Vorono

More information

Lecture 12: Discrete Laplacian

Lecture 12: Discrete Laplacian Lecture 12: Dscrete Laplacan Scrbe: Tanye Lu Our goal s to come up wth a dscrete verson of Laplacan operator for trangulated surfaces, so that we can use t n practce to solve related problems We are mostly

More information

Module 9. Lecture 6. Duality in Assignment Problems

Module 9. Lecture 6. Duality in Assignment Problems Module 9 1 Lecture 6 Dualty n Assgnment Problems In ths lecture we attempt to answer few other mportant questons posed n earler lecture for (AP) and see how some of them can be explaned through the concept

More information

Semi-supervised Classification with Active Query Selection

Semi-supervised Classification with Active Query Selection Sem-supervsed Classfcaton wth Actve Query Selecton Jao Wang and Swe Luo School of Computer and Informaton Technology, Beng Jaotong Unversty, Beng 00044, Chna Wangjao088@63.com Abstract. Labeled samples

More information

CHALMERS, GÖTEBORGS UNIVERSITET. SOLUTIONS to RE-EXAM for ARTIFICIAL NEURAL NETWORKS. COURSE CODES: FFR 135, FIM 720 GU, PhD

CHALMERS, GÖTEBORGS UNIVERSITET. SOLUTIONS to RE-EXAM for ARTIFICIAL NEURAL NETWORKS. COURSE CODES: FFR 135, FIM 720 GU, PhD CHALMERS, GÖTEBORGS UNIVERSITET SOLUTIONS to RE-EXAM for ARTIFICIAL NEURAL NETWORKS COURSE CODES: FFR 35, FIM 72 GU, PhD Tme: Place: Teachers: Allowed materal: Not allowed: January 2, 28, at 8 3 2 3 SB

More information

Speeding up Computation of Scalar Multiplication in Elliptic Curve Cryptosystem

Speeding up Computation of Scalar Multiplication in Elliptic Curve Cryptosystem H.K. Pathak et. al. / (IJCSE) Internatonal Journal on Computer Scence and Engneerng Speedng up Computaton of Scalar Multplcaton n Ellptc Curve Cryptosystem H. K. Pathak Manju Sangh S.o.S n Computer scence

More information

Generalized Linear Methods

Generalized Linear Methods Generalzed Lnear Methods 1 Introducton In the Ensemble Methods the general dea s that usng a combnaton of several weak learner one could make a better learner. More formally, assume that we have a set

More information

For now, let us focus on a specific model of neurons. These are simplified from reality but can achieve remarkable results.

For now, let us focus on a specific model of neurons. These are simplified from reality but can achieve remarkable results. Neural Networks : Dervaton compled by Alvn Wan from Professor Jtendra Malk s lecture Ths type of computaton s called deep learnng and s the most popular method for many problems, such as computer vson

More information

Numerical Heat and Mass Transfer

Numerical Heat and Mass Transfer Master degree n Mechancal Engneerng Numercal Heat and Mass Transfer 06-Fnte-Dfference Method (One-dmensonal, steady state heat conducton) Fausto Arpno f.arpno@uncas.t Introducton Why we use models and

More information

Orientation Model of Elite Education and Mass Education

Orientation Model of Elite Education and Mass Education Proceedngs of the 8th Internatonal Conference on Innovaton & Management 723 Orentaton Model of Elte Educaton and Mass Educaton Ye Peng Huanggang Normal Unversty, Huanggang, P.R.Chna, 438 (E-mal: yepeng@hgnc.edu.cn)

More information

Lecture Notes on Linear Regression

Lecture Notes on Linear Regression Lecture Notes on Lnear Regresson Feng L fl@sdueducn Shandong Unversty, Chna Lnear Regresson Problem In regresson problem, we am at predct a contnuous target value gven an nput feature vector We assume

More information

Power law and dimension of the maximum value for belief distribution with the max Deng entropy

Power law and dimension of the maximum value for belief distribution with the max Deng entropy Power law and dmenson of the maxmum value for belef dstrbuton wth the max Deng entropy Bngy Kang a, a College of Informaton Engneerng, Northwest A&F Unversty, Yanglng, Shaanx, 712100, Chna. Abstract Deng

More information

arxiv:cs.cv/ Jun 2000

arxiv:cs.cv/ Jun 2000 Correlaton over Decomposed Sgnals: A Non-Lnear Approach to Fast and Effectve Sequences Comparson Lucano da Fontoura Costa arxv:cs.cv/0006040 28 Jun 2000 Cybernetc Vson Research Group IFSC Unversty of São

More information

The Quadratic Trigonometric Bézier Curve with Single Shape Parameter

The Quadratic Trigonometric Bézier Curve with Single Shape Parameter J. Basc. Appl. Sc. Res., (3541-546, 01 01, TextRoad Publcaton ISSN 090-4304 Journal of Basc and Appled Scentfc Research www.textroad.com The Quadratc Trgonometrc Bézer Curve wth Sngle Shape Parameter Uzma

More information

Structure and Drive Paul A. Jensen Copyright July 20, 2003

Structure and Drive Paul A. Jensen Copyright July 20, 2003 Structure and Drve Paul A. Jensen Copyrght July 20, 2003 A system s made up of several operatons wth flow passng between them. The structure of the system descrbes the flow paths from nputs to outputs.

More information

Study on Active Micro-vibration Isolation System with Linear Motor Actuator. Gong-yu PAN, Wen-yan GU and Dong LI

Study on Active Micro-vibration Isolation System with Linear Motor Actuator. Gong-yu PAN, Wen-yan GU and Dong LI 2017 2nd Internatonal Conference on Electrcal and Electroncs: echnques and Applcatons (EEA 2017) ISBN: 978-1-60595-416-5 Study on Actve Mcro-vbraton Isolaton System wth Lnear Motor Actuator Gong-yu PAN,

More information

Report on Image warping

Report on Image warping Report on Image warpng Xuan Ne, Dec. 20, 2004 Ths document summarzed the algorthms of our mage warpng soluton for further study, and there s a detaled descrpton about the mplementaton of these algorthms.

More information

Saliency Detection Using Min-cut Proposals Framework

Saliency Detection Using Min-cut Proposals Framework 4th Internatonal Conference on Machnery, Materals and Informaton Technology Applcatons (ICMMITA 206) Salency Detecton Usng Mn-cut Proposals Framework Melng Sun,a, Fengxa L,a, Sanyuan Zhao, a, Da Huo, a,

More information

Paying Attention to Symmetry

Paying Attention to Symmetry Payng Attenton to Symmetry Gert Kootstra 1, Arco Nederveen 1 and Bart de Boer 2 1 Artfcal Intellgence, Unvesty of Gronngen, Netherlands 2 Insttute of Phonetc Scences, Unversty of Amsterdam, Netherlands

More information

A Network Intrusion Detection Method Based on Improved K-means Algorithm

A Network Intrusion Detection Method Based on Improved K-means Algorithm Advanced Scence and Technology Letters, pp.429-433 http://dx.do.org/10.14257/astl.2014.53.89 A Network Intruson Detecton Method Based on Improved K-means Algorthm Meng Gao 1,1, Nhong Wang 1, 1 Informaton

More information

Chapter 6. Supplemental Text Material

Chapter 6. Supplemental Text Material Chapter 6. Supplemental Text Materal S6-. actor Effect Estmates are Least Squares Estmates We have gven heurstc or ntutve explanatons of how the estmates of the factor effects are obtaned n the textboo.

More information

Scroll Generation with Inductorless Chua s Circuit and Wien Bridge Oscillator

Scroll Generation with Inductorless Chua s Circuit and Wien Bridge Oscillator Latest Trends on Crcuts, Systems and Sgnals Scroll Generaton wth Inductorless Chua s Crcut and Wen Brdge Oscllator Watcharn Jantanate, Peter A. Chayasena, and Sarawut Sutorn * Abstract An nductorless Chua

More information

Module 3 LOSSY IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur

Module 3 LOSSY IMAGE COMPRESSION SYSTEMS. Version 2 ECE IIT, Kharagpur Module 3 LOSSY IMAGE COMPRESSION SYSTEMS Verson ECE IIT, Kharagpur Lesson 6 Theory of Quantzaton Verson ECE IIT, Kharagpur Instructonal Objectves At the end of ths lesson, the students should be able to:

More information

A PROBABILITY-DRIVEN SEARCH ALGORITHM FOR SOLVING MULTI-OBJECTIVE OPTIMIZATION PROBLEMS

A PROBABILITY-DRIVEN SEARCH ALGORITHM FOR SOLVING MULTI-OBJECTIVE OPTIMIZATION PROBLEMS HCMC Unversty of Pedagogy Thong Nguyen Huu et al. A PROBABILITY-DRIVEN SEARCH ALGORITHM FOR SOLVING MULTI-OBJECTIVE OPTIMIZATION PROBLEMS Thong Nguyen Huu and Hao Tran Van Department of mathematcs-nformaton,

More information

ELASTIC WAVE PROPAGATION IN A CONTINUOUS MEDIUM

ELASTIC WAVE PROPAGATION IN A CONTINUOUS MEDIUM ELASTIC WAVE PROPAGATION IN A CONTINUOUS MEDIUM An elastc wave s a deformaton of the body that travels throughout the body n all drectons. We can examne the deformaton over a perod of tme by fxng our look

More information

Complement of Type-2 Fuzzy Shortest Path Using Possibility Measure

Complement of Type-2 Fuzzy Shortest Path Using Possibility Measure Intern. J. Fuzzy Mathematcal rchve Vol. 5, No., 04, 9-7 ISSN: 30 34 (P, 30 350 (onlne Publshed on 5 November 04 www.researchmathsc.org Internatonal Journal of Complement of Type- Fuzzy Shortest Path Usng

More information

χ x B E (c) Figure 2.1.1: (a) a material particle in a body, (b) a place in space, (c) a configuration of the body

χ x B E (c) Figure 2.1.1: (a) a material particle in a body, (b) a place in space, (c) a configuration of the body Secton.. Moton.. The Materal Body and Moton hyscal materals n the real world are modeled usng an abstract mathematcal entty called a body. Ths body conssts of an nfnte number of materal partcles. Shown

More information

Difference Equations

Difference Equations Dfference Equatons c Jan Vrbk 1 Bascs Suppose a sequence of numbers, say a 0,a 1,a,a 3,... s defned by a certan general relatonshp between, say, three consecutve values of the sequence, e.g. a + +3a +1

More information

Uncertainty in measurements of power and energy on power networks

Uncertainty in measurements of power and energy on power networks Uncertanty n measurements of power and energy on power networks E. Manov, N. Kolev Department of Measurement and Instrumentaton, Techncal Unversty Sofa, bul. Klment Ohrdsk No8, bl., 000 Sofa, Bulgara Tel./fax:

More information

Odd/Even Scroll Generation with Inductorless Chua s and Wien Bridge Oscillator Circuits

Odd/Even Scroll Generation with Inductorless Chua s and Wien Bridge Oscillator Circuits Watcharn Jantanate, Peter A. Chayasena, Sarawut Sutorn Odd/Even Scroll Generaton wth Inductorless Chua s and Wen Brdge Oscllator Crcuts Watcharn Jantanate, Peter A. Chayasena, and Sarawut Sutorn * School

More information

GEMINI GEneric Multimedia INdexIng

GEMINI GEneric Multimedia INdexIng GEMINI GEnerc Multmeda INdexIng Last lecture, LSH http://www.mt.edu/~andon/lsh/ Is there another possble soluton? Do we need to perform ANN? 1 GEnerc Multmeda INdexIng dstance measure Sub-pattern Match

More information

A New Evolutionary Computation Based Approach for Learning Bayesian Network

A New Evolutionary Computation Based Approach for Learning Bayesian Network Avalable onlne at www.scencedrect.com Proceda Engneerng 15 (2011) 4026 4030 Advanced n Control Engneerng and Informaton Scence A New Evolutonary Computaton Based Approach for Learnng Bayesan Network Yungang

More information

Lecture 10 Support Vector Machines II

Lecture 10 Support Vector Machines II Lecture 10 Support Vector Machnes II 22 February 2016 Taylor B. Arnold Yale Statstcs STAT 365/665 1/28 Notes: Problem 3 s posted and due ths upcomng Frday There was an early bug n the fake-test data; fxed

More information

Chapter 5. Solution of System of Linear Equations. Module No. 6. Solution of Inconsistent and Ill Conditioned Systems

Chapter 5. Solution of System of Linear Equations. Module No. 6. Solution of Inconsistent and Ill Conditioned Systems Numercal Analyss by Dr. Anta Pal Assstant Professor Department of Mathematcs Natonal Insttute of Technology Durgapur Durgapur-713209 emal: anta.bue@gmal.com 1 . Chapter 5 Soluton of System of Lnear Equatons

More information

Pattern Matching Based on a Generalized Transform [Final Report]

Pattern Matching Based on a Generalized Transform [Final Report] Pattern Matchng ased on a Generalzed Transform [Fnal Report] Ram Rajagopal Natonal Instruments 5 N. Mopac Expwy., uldng, Austn, T 78759-354 ram.rajagopal@n.com Abstract In a two-dmensonal pattern matchng

More information

On the Repeating Group Finding Problem

On the Repeating Group Finding Problem The 9th Workshop on Combnatoral Mathematcs and Computaton Theory On the Repeatng Group Fndng Problem Bo-Ren Kung, Wen-Hsen Chen, R.C.T Lee Graduate Insttute of Informaton Technology and Management Takmng

More information

A New Facial Expression Recognition Method Based on * Local Gabor Filter Bank and PCA plus LDA

A New Facial Expression Recognition Method Based on * Local Gabor Filter Bank and PCA plus LDA Hong-Bo Deng, Lan-Wen Jn, L-Xn Zhen, Jan-Cheng Huang A New Facal Expresson Recognton Method Based on Local Gabor Flter Bank and PCA plus LDA A New Facal Expresson Recognton Method Based on * Local Gabor

More information

Problem Set 9 Solutions

Problem Set 9 Solutions Desgn and Analyss of Algorthms May 4, 2015 Massachusetts Insttute of Technology 6.046J/18.410J Profs. Erk Demane, Srn Devadas, and Nancy Lynch Problem Set 9 Solutons Problem Set 9 Solutons Ths problem

More information

CHAPTER-5 INFORMATION MEASURE OF FUZZY MATRIX AND FUZZY BINARY RELATION

CHAPTER-5 INFORMATION MEASURE OF FUZZY MATRIX AND FUZZY BINARY RELATION CAPTER- INFORMATION MEASURE OF FUZZY MATRI AN FUZZY BINARY RELATION Introducton The basc concept of the fuzz matr theor s ver smple and can be appled to socal and natural stuatons A branch of fuzz matr

More information

2E Pattern Recognition Solutions to Introduction to Pattern Recognition, Chapter 2: Bayesian pattern classification

2E Pattern Recognition Solutions to Introduction to Pattern Recognition, Chapter 2: Bayesian pattern classification E395 - Pattern Recognton Solutons to Introducton to Pattern Recognton, Chapter : Bayesan pattern classfcaton Preface Ths document s a soluton manual for selected exercses from Introducton to Pattern Recognton

More information

Comparison of the Population Variance Estimators. of 2-Parameter Exponential Distribution Based on. Multiple Criteria Decision Making Method

Comparison of the Population Variance Estimators. of 2-Parameter Exponential Distribution Based on. Multiple Criteria Decision Making Method Appled Mathematcal Scences, Vol. 7, 0, no. 47, 07-0 HIARI Ltd, www.m-hkar.com Comparson of the Populaton Varance Estmators of -Parameter Exponental Dstrbuton Based on Multple Crtera Decson Makng Method

More information

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity

Week3, Chapter 4. Position and Displacement. Motion in Two Dimensions. Instantaneous Velocity. Average Velocity Week3, Chapter 4 Moton n Two Dmensons Lecture Quz A partcle confned to moton along the x axs moves wth constant acceleraton from x =.0 m to x = 8.0 m durng a 1-s tme nterval. The velocty of the partcle

More information

Appendix B: Resampling Algorithms

Appendix B: Resampling Algorithms 407 Appendx B: Resamplng Algorthms A common problem of all partcle flters s the degeneracy of weghts, whch conssts of the unbounded ncrease of the varance of the mportance weghts ω [ ] of the partcles

More information

A Fast Computer Aided Design Method for Filters

A Fast Computer Aided Design Method for Filters 2017 Asa-Pacfc Engneerng and Technology Conference (APETC 2017) ISBN: 978-1-60595-443-1 A Fast Computer Aded Desgn Method for Flters Gang L ABSTRACT *Ths paper presents a fast computer aded desgn method

More information

A new construction of 3-separable matrices via an improved decoding of Macula s construction

A new construction of 3-separable matrices via an improved decoding of Macula s construction Dscrete Optmzaton 5 008 700 704 Contents lsts avalable at ScenceDrect Dscrete Optmzaton journal homepage: wwwelsevercom/locate/dsopt A new constructon of 3-separable matrces va an mproved decodng of Macula

More information

One-sided finite-difference approximations suitable for use with Richardson extrapolation

One-sided finite-difference approximations suitable for use with Richardson extrapolation Journal of Computatonal Physcs 219 (2006) 13 20 Short note One-sded fnte-dfference approxmatons sutable for use wth Rchardson extrapolaton Kumar Rahul, S.N. Bhattacharyya * Department of Mechancal Engneerng,

More information

Microwave Diversity Imaging Compression Using Bioinspired

Microwave Diversity Imaging Compression Using Bioinspired Mcrowave Dversty Imagng Compresson Usng Bonspred Neural Networks Youwe Yuan 1, Yong L 1, Wele Xu 1, Janghong Yu * 1 School of Computer Scence and Technology, Hangzhou Danz Unversty, Hangzhou, Zhejang,

More information

MMA and GCMMA two methods for nonlinear optimization

MMA and GCMMA two methods for nonlinear optimization MMA and GCMMA two methods for nonlnear optmzaton Krster Svanberg Optmzaton and Systems Theory, KTH, Stockholm, Sweden. krlle@math.kth.se Ths note descrbes the algorthms used n the author s 2007 mplementatons

More information

DETERMINATION OF TEMPERATURE DISTRIBUTION FOR ANNULAR FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY BY HPM

DETERMINATION OF TEMPERATURE DISTRIBUTION FOR ANNULAR FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY BY HPM Ganj, Z. Z., et al.: Determnaton of Temperature Dstrbuton for S111 DETERMINATION OF TEMPERATURE DISTRIBUTION FOR ANNULAR FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY BY HPM by Davood Domr GANJI

More information

ANSWERS. Problem 1. and the moment generating function (mgf) by. defined for any real t. Use this to show that E( U) var( U)

ANSWERS. Problem 1. and the moment generating function (mgf) by. defined for any real t. Use this to show that E( U) var( U) Econ 413 Exam 13 H ANSWERS Settet er nndelt 9 deloppgaver, A,B,C, som alle anbefales å telle lkt for å gøre det ltt lettere å stå. Svar er gtt . Unfortunately, there s a prntng error n the hnt of

More information

Dr. Shalabh Department of Mathematics and Statistics Indian Institute of Technology Kanpur

Dr. Shalabh Department of Mathematics and Statistics Indian Institute of Technology Kanpur Analyss of Varance and Desgn of Experment-I MODULE VII LECTURE - 3 ANALYSIS OF COVARIANCE Dr Shalabh Department of Mathematcs and Statstcs Indan Insttute of Technology Kanpur Any scentfc experment s performed

More information

On the correction of the h-index for career length

On the correction of the h-index for career length 1 On the correcton of the h-ndex for career length by L. Egghe Unverstet Hasselt (UHasselt), Campus Depenbeek, Agoralaan, B-3590 Depenbeek, Belgum 1 and Unverstet Antwerpen (UA), IBW, Stadscampus, Venusstraat

More information

Multi-Robot Formation Control Based on Leader-Follower Optimized by the IGA

Multi-Robot Formation Control Based on Leader-Follower Optimized by the IGA IOSR Journal of Computer Engneerng (IOSR-JCE e-issn: 2278-0661,p-ISSN: 2278-8727, Volume 19, Issue 1, Ver. III (Jan.-Feb. 2017, PP 08-13 www.osrjournals.org Mult-Robot Formaton Control Based on Leader-Follower

More information

Ensemble Methods: Boosting

Ensemble Methods: Boosting Ensemble Methods: Boostng Ncholas Ruozz Unversty of Texas at Dallas Based on the sldes of Vbhav Gogate and Rob Schapre Last Tme Varance reducton va baggng Generate new tranng data sets by samplng wth replacement

More information

A Fast Fractal Image Compression Algorithm Using Predefined Values for Contrast Scaling

A Fast Fractal Image Compression Algorithm Using Predefined Values for Contrast Scaling Proceedngs of the World Congress on Engneerng and Computer Scence 007 WCECS 007, October 4-6, 007, San Francsco, USA A Fast Fractal Image Compresson Algorthm Usng Predefned Values for Contrast Scalng H.

More information

A Novel Feistel Cipher Involving a Bunch of Keys supplemented with Modular Arithmetic Addition

A Novel Feistel Cipher Involving a Bunch of Keys supplemented with Modular Arithmetic Addition (IJACSA) Internatonal Journal of Advanced Computer Scence Applcatons, A Novel Festel Cpher Involvng a Bunch of Keys supplemented wth Modular Arthmetc Addton Dr. V.U.K Sastry Dean R&D, Department of Computer

More information

NON-CENTRAL 7-POINT FORMULA IN THE METHOD OF LINES FOR PARABOLIC AND BURGERS' EQUATIONS

NON-CENTRAL 7-POINT FORMULA IN THE METHOD OF LINES FOR PARABOLIC AND BURGERS' EQUATIONS IJRRAS 8 (3 September 011 www.arpapress.com/volumes/vol8issue3/ijrras_8_3_08.pdf NON-CENTRAL 7-POINT FORMULA IN THE METHOD OF LINES FOR PARABOLIC AND BURGERS' EQUATIONS H.O. Bakodah Dept. of Mathematc

More information

Simulated Power of the Discrete Cramér-von Mises Goodness-of-Fit Tests

Simulated Power of the Discrete Cramér-von Mises Goodness-of-Fit Tests Smulated of the Cramér-von Mses Goodness-of-Ft Tests Steele, M., Chaselng, J. and 3 Hurst, C. School of Mathematcal and Physcal Scences, James Cook Unversty, Australan School of Envronmental Studes, Grffth

More information

MULTISPECTRAL IMAGE CLASSIFICATION USING BACK-PROPAGATION NEURAL NETWORK IN PCA DOMAIN

MULTISPECTRAL IMAGE CLASSIFICATION USING BACK-PROPAGATION NEURAL NETWORK IN PCA DOMAIN MULTISPECTRAL IMAGE CLASSIFICATION USING BACK-PROPAGATION NEURAL NETWORK IN PCA DOMAIN S. Chtwong, S. Wtthayapradt, S. Intajag, and F. Cheevasuvt Faculty of Engneerng, Kng Mongkut s Insttute of Technology

More information

ISSN: ISO 9001:2008 Certified International Journal of Engineering and Innovative Technology (IJEIT) Volume 3, Issue 1, July 2013

ISSN: ISO 9001:2008 Certified International Journal of Engineering and Innovative Technology (IJEIT) Volume 3, Issue 1, July 2013 ISSN: 2277-375 Constructon of Trend Free Run Orders for Orthogonal rrays Usng Codes bstract: Sometmes when the expermental runs are carred out n a tme order sequence, the response can depend on the run

More information

UC Merced Proceedings of the Annual Meeting of the Cognitive Science Society

UC Merced Proceedings of the Annual Meeting of the Cognitive Science Society UC Merced Proceedngs of the Annual Meetng of the Cogntve Scence Socety Ttle Predcton of Human Eye Fxatons usng Symmetry Permalnk https://escholarshp.org/uc/tem/9tq618t Journal Proceedngs of the Annual

More information

EEE 241: Linear Systems

EEE 241: Linear Systems EEE : Lnear Systems Summary #: Backpropagaton BACKPROPAGATION The perceptron rule as well as the Wdrow Hoff learnng were desgned to tran sngle layer networks. They suffer from the same dsadvantage: they

More information

Salmon: Lectures on partial differential equations. Consider the general linear, second-order PDE in the form. ,x 2

Salmon: Lectures on partial differential equations. Consider the general linear, second-order PDE in the form. ,x 2 Salmon: Lectures on partal dfferental equatons 5. Classfcaton of second-order equatons There are general methods for classfyng hgher-order partal dfferental equatons. One s very general (applyng even to

More information

Bézier curves. Michael S. Floater. September 10, These notes provide an introduction to Bézier curves. i=0

Bézier curves. Michael S. Floater. September 10, These notes provide an introduction to Bézier curves. i=0 Bézer curves Mchael S. Floater September 1, 215 These notes provde an ntroducton to Bézer curves. 1 Bernsten polynomals Recall that a real polynomal of a real varable x R, wth degree n, s a functon of

More information

Parametric fractional imputation for missing data analysis. Jae Kwang Kim Survey Working Group Seminar March 29, 2010

Parametric fractional imputation for missing data analysis. Jae Kwang Kim Survey Working Group Seminar March 29, 2010 Parametrc fractonal mputaton for mssng data analyss Jae Kwang Km Survey Workng Group Semnar March 29, 2010 1 Outlne Introducton Proposed method Fractonal mputaton Approxmaton Varance estmaton Multple mputaton

More information

Global Sensitivity. Tuesday 20 th February, 2018

Global Sensitivity. Tuesday 20 th February, 2018 Global Senstvty Tuesday 2 th February, 28 ) Local Senstvty Most senstvty analyses [] are based on local estmates of senstvty, typcally by expandng the response n a Taylor seres about some specfc values

More information

On an Extension of Stochastic Approximation EM Algorithm for Incomplete Data Problems. Vahid Tadayon 1

On an Extension of Stochastic Approximation EM Algorithm for Incomplete Data Problems. Vahid Tadayon 1 On an Extenson of Stochastc Approxmaton EM Algorthm for Incomplete Data Problems Vahd Tadayon Abstract: The Stochastc Approxmaton EM (SAEM algorthm, a varant stochastc approxmaton of EM, s a versatle tool

More information

College of Computer & Information Science Fall 2009 Northeastern University 20 October 2009

College of Computer & Information Science Fall 2009 Northeastern University 20 October 2009 College of Computer & Informaton Scence Fall 2009 Northeastern Unversty 20 October 2009 CS7880: Algorthmc Power Tools Scrbe: Jan Wen and Laura Poplawsk Lecture Outlne: Prmal-dual schema Network Desgn:

More information

4 Analysis of Variance (ANOVA) 5 ANOVA. 5.1 Introduction. 5.2 Fixed Effects ANOVA

4 Analysis of Variance (ANOVA) 5 ANOVA. 5.1 Introduction. 5.2 Fixed Effects ANOVA 4 Analyss of Varance (ANOVA) 5 ANOVA 51 Introducton ANOVA ANOVA s a way to estmate and test the means of multple populatons We wll start wth one-way ANOVA If the populatons ncluded n the study are selected

More information

Statistics II Final Exam 26/6/18

Statistics II Final Exam 26/6/18 Statstcs II Fnal Exam 26/6/18 Academc Year 2017/18 Solutons Exam duraton: 2 h 30 mn 1. (3 ponts) A town hall s conductng a study to determne the amount of leftover food produced by the restaurants n the

More information

2.3 Nilpotent endomorphisms

2.3 Nilpotent endomorphisms s a block dagonal matrx, wth A Mat dm U (C) In fact, we can assume that B = B 1 B k, wth B an ordered bass of U, and that A = [f U ] B, where f U : U U s the restrcton of f to U 40 23 Nlpotent endomorphsms

More information

Chapter 11: Simple Linear Regression and Correlation

Chapter 11: Simple Linear Regression and Correlation Chapter 11: Smple Lnear Regresson and Correlaton 11-1 Emprcal Models 11-2 Smple Lnear Regresson 11-3 Propertes of the Least Squares Estmators 11-4 Hypothess Test n Smple Lnear Regresson 11-4.1 Use of t-tests

More information

Automatic Object Trajectory- Based Motion Recognition Using Gaussian Mixture Models

Automatic Object Trajectory- Based Motion Recognition Using Gaussian Mixture Models Automatc Object Trajectory- Based Moton Recognton Usng Gaussan Mxture Models Fasal I. Bashr, Ashfaq A. Khokhar, Dan Schonfeld Electrcal and Computer Engneerng, Unversty of Illnos at Chcago. Chcago, IL,

More information