Saturday, January 25, 2020
Principal Component Analysis for Numerals
Principal Component Analysis for Numerals Recognition of Off-Line Handwritten Telugu Numerals Based On Principal Component Analysis Manubolu Sreenivasulu, Prasenjit Kumar Das Abstract India is a multi-lingual multi-language country but there is not much work towards off-line handwritten character recognition of Indian languages [1]. In this paper we have proposed principal component analysis (PCA) for feature extraction and used Probabilistic Neural Network (PNN) based model for classification and recognition of off-line handwritten numerals of telugu script. Principal component analysis is one of the important method for identifying patterns in data and expressing the data to highlight their similarities and differences. In high dimensional data it is difficult to identify patterns, where the luxury of graphical representation is not available, principal component analysis is a good method for analysing data. The performance of the Probabilistic Neural Network classifier was computed in terms of training performance and classification accuracies. Probabilistic Neural Network gives fast and accurate classification and is a promising model for classification of the characters [9]. Keywords PCA, PNN, Classification and Recognition, Handwritten Characters I. INTRODUCTION Character recognition (CR) is the important area in image processing and pattern recognition fields. The various applications of character recognition are includes library automation, banks, defense organizations, reading aid for the blind, post offices, language processing and multi-media design. Hence the research in character recognition is very popular. To recognize Hand-Written Characters (HWC) is an easy task for humans, but for a computer it is an extremely difficult job. This is mainly due to the vast differences or the impreciseness associated with handwritten patterns written by different individuals. Machine recognition involves the ability of a computer to receive input from sources such as paper and other documents, photographs, touch screens and other devices, which is an ongoing research area. Handwritten character recognition (HWCR) can be divided into two categories, namely, Offline Handwritten Character recognition where the image is sensed â€Å"off-line†fr om a part of a document and â€Å"Online†Handwritten Character recognition where the movements of the pen/tip can be recorded â€Å"on-line†as used in the pen based computer screen systems. Off-line recognition usually requires imperfect pre-processing techniques prior to feature extraction and recognition stages [3]. Telugu is the most popular script in India. It is the official language of the southern Indian state, Andhra Pradesh. The Telugu script is closely related to the Kannada script. Telugu is a syllabic language. Similar to most languages of India, each symbol in Telugu script represents a complete syllable. Officially, there are 10 numerals, 18 vowels, 36 consonants, and three dual symbols [1]. There are five major stages in the HCR problem: Image pre-processing, segmentation, feature extraction, training and recognition and post processing. Several works had been done on feature extraction for character recognition. The feature extraction method includes Template matching, Identification of similarities and differences, Histograms, Zoning, Graph description etc. II. DATA COLLECTION AND PREPROCESSING Data collection for the experiment has been done from different individuals. Currently we are developing data set for Telugu. Earlier we had collected 250 Telugu numeral samples from 50 different writers. Writers were provided with a plain A4 sheet and each writer asked to write Telugu numerals from 0 to 9 at one time. Recently, we have again collected 150 Telugu numerals by 30 different writers. In this paper the data set size of 300 Telugu numerals is used. The database is totally unconstrained and has been created for validating the recognition system. The collected documents are scanned using the Canon-Lide scanner jet, which is usually a low noise and good quality image. The digitized images are stored as binary images in the BMP format. A sample of Telugu handwritten numerals from the data set is shown from figure 1. Figure 1: Handwritten Telugu Numeral Samples Pre-processing: Figure 2: Pre-processing Pre-processing includes the steps that are necessary to bring the input data into an acceptable form for feature extraction. The initial data is depending on the data acquisition type, is subjected to a number of preliminary processing stages. The pre-processing stage involves noise reduction, slant correction, size normalization and thinning [2]. For noise removal we used median filter. For better understanding the function of median filter, we added the salt and pepper noise artificially and removing it using median filter. In character classification/recognition correcting the skew (baseline deviation from the horizontal direction) and the slant (average near-vertical strokes deviation from the vertical direction) is an important pre-processing step. The slant and slope are introduced by writing styles. Both corrections can reduce handwritten word shape variability and help the later operations such as feature extraction, classification and recognition [4]. Normalization is required as the size of the numeral varies from person to person and even with the same person from time to time. Thinning provides a reduction in data size; it extracts the shape information of the characters. Thinning is the process of reducing the thickness of each line of pattern to just a single pixel [5]. Here, we have used the morphology based thinning algorithm for better symbol representation. Thus, the reduced pattern is known as the skeleton and is close to the medial axis, which preserves the topology of the image. Figure 5 shows the steps involved in our method as far as pre-processing is considered. III. FEATURE EXTRACTION USING PRINCIPAL COMPONENT ANALYSIS In this paper, the principal component analysis (PCA) is being used as an extraction algorithm of features. The PCA is a very successful techniques which has been utilized in image compression and recognition. The sole purpose of PCA is to decrease the big dimensions of data [9]. In this way we can identify patterns in data, and express the data in such a way as to present their differences and similarities. Because the patterns in data is hard to find in high dimension data, where the usefulness of graphical representation is not present, principal component analysis is a very good tool for analysing the data. The other advantages of PCA is that when you have found the patterns in data, and then you compress the data, i.e. by reducing the dimensions, with negligible loss of information [6]. Algorithm Step 1: Get input as pre-processed image Step 2: Subtract the mean In order for the PCA to work correctly, it is needed for you to subtract the mean from each of the dimensions of data. The subtracted mean is the average in each dimension. Step 3: Calculate the covariance matrix The data is 2D, the covariance matrix will be 22.the definition for the covariance matrix for a set of data with n dimensional is: Cn x n = (ci,j, ci,j = cov(Dimi,Dimj)) Step 4: Compute eigenvectors and eigenvalues of the covariance matrix Because the covariance matrix is square, we are able to calculate the eigenvalues and eigenvectors for this matrix. The eigenvectors and eigenvalues will give us useful information about our data. Step 5: Component choosing and creating a feature vector In this step the notion of reduced dimensionality and data compression comes into it.When you look at the eigenvalues and eigenvectors from the previous section, you will be able to notice that the eigen values are quite not equal values. The fact is that the eigenvector with the highest eigenvalue is the main component of the data set. In fact the eigenvector with the larges eigenvalue was the one that pointed down the middle of the data. It is very important relationship between the dimensions of data. Generally, when the eigenvectors are found from the covariance matrix, the next step is to order the eigenvalue from highest to the lowest. This will give you the components in a very significant order. Now it is required to form a feature vector, that is just a name for a matrix of vectors. It is constructed by taking the eigenvectors that you want to keep from the eigenvectors list, and creating a matrix with those eigenvectors in the columns. Feature Vector = (eig1 eig2 eig3 .. eign) Step 6: Deriving the new data set It is the last step in principle component analysist. When we have choosed the components or the eigenvectors, that we want to keep in our data and create a feature vector, we would take the transpose of that vector and will multiply it on the left of the true data set, transposed. Final Data=Row Feature VectorXRow Data Adjust Here the Row Feature Vector is the matrix of the eigenvectors in the columns transposed so that the eigenvectors will be in the rows, with the most important eigenvector at the top, and the Row Data Adjust will be z wiullthe mean-adjusted data transposed, ie. data items will be in each column, with each row holding a dimension which is separate[6]. IV. CLASSIFICATION AND RECOGNITION USING PRABABILISTIC NEURAL NETWORK Probabilistic neural networks (PNN) can be utilized for problems of classification. PNN is adopted for it has many advantages. Its training speed is many times faster than a BP network. PNN can approach a Bayes optimal result under certain easily met conditions [7]. The most important advantage of PNN is that training is easy and instantaneous. Weights are not â€Å"trained†but assigned. Existing weights will never be alternated but only new vectors are inserted into weight matrices when training. So it can be used in real-time. Since the training and running procedure can be implemented by matrix manipulation, the speed of PNN is very fast. The network classifies input vector into a particular class since that class has the highest probability to be correct. In this research paper, the PNN is of three layers: the Radial Basis Layer, the Input layer and the Competitive Layer. Radial Basis Layer calculates vector distances between input vector and row weight vectors in weight matrix. Those distances were scaled by Radial Basis Function not in a linear fashion. Then the Competitive Layer will find the shortest distance among them, and will then find the training pattern which is near to the input pattern depending on their distance. The network structure is illustrated in Figure 3. The symbols and notations are adopted as used in the book Neural Network Design [9]. These symbols and notations are also used by MATLAB Neural Network Toolbox. Dimensions of arrays are marked under their names. Input Radial Basis Layer Competitive Layer Q x R P Q x 1 R x 1 n a d c Q x 1Q x 1 K x 1 K x 1 K x Q R Q x 1 Q K Figure 3: Network Structure 1) Input Layer: The input vector, denoted as p, is presented as the vertical bar in Figure 3. Its dimension is R Ãâ€" 1. 2) Radial Basis Layer: In Radial Basis Layer, the vector distances between input vector p and the weight vector made of each row of weight matrix W are calculated. Here, the vector distance is defined as the dot product between two vectors [10]. Assume the dimension of W is QÃâ€"R. The dot product between p and the i-th row of W produces the i-th element of the distance vector ||W−p||, whose dimension is QÃâ€"1, as shown in Figure 3. The minus symbol, â€Å"−†indicates that it is the distance between vectors. The transfer function in PNN has built into a distance criterion with respect to a center. In this paper, it is defined as radbas (n) = Each element of n is substituted into Eq. 1 and produces corresponding element of a, the output vector of Radial Basis Layer. The i-th element of a can be represented as ai = radbas(||wi-p||.*bi) Where Wi is the vector made of the i-th row of W and bi is the i-th element of bias vector b. 3) Some characteristics of Radial Basis Layer: The i-th element of a equals to 1 if the input p is identical to the ith row of input weight matrix W. A basis neuron which is radial along with a weight vector near to the input vector p will produce a value close to 1 and then its output weights in the competitive layer will pass their values to the competitive function. It is also possible that several elements of a are close to 1 since the input pattern is close to several training patterns. 4) Competitive Layer: There is no bias in Competitive layer. In Competitive Layer, the vector a is firstly multiplied with layer weight matrix M, producing an output vector d. The competitive function, denoted as C in Figure 3, produces 1 corresponding to the largest element of d, and 0’s elsewhere. The output vector of competitive function is denoted as c. The index of 1 in c is the number of numeral that the system can classify [9]. V. EXPERIMENTAL RESULTS The data set was divided into two separate data sets, the training data set and the testing data set. The training data set was used to train the network, whereas the testing data set was used to verify the accuracy and the effectiveness of the trained network for the classification of characters. .The PNN was tested in more than 350 samples of telugu numerals and we have obtained an average recognition rate of 97%. Table 1 shows the performance of PNN. Number of Samples PNN 15 96.3% 50 96.8% 100 97.7% 125 97.6% Table 1: Recognition Rate in Percentage VI. CONCLUSION In this paper the PCA for feature extraction and the PNN for classification and recognition have been implemented. The performance of Probabilistic Neural Network classifier was calculated in the terms of classification accuracies and training performance. Probabilistic Neural Network gives fast and accurate classification and is a promising tool for classification of the characters. REFERENCES U. Pal1, T. Wakabayashi2, N. Sharma1 and F. Kimura2, â€Å"Handwritten Numeral Recognition of Six Popular Indian Scripts†, Manubolu Sreenivasulu, Prasenjit Kumar Das, Mr. Rishi Mathur, â€Å"Numeral Recognition of Four Scripts: Bengali-Assamese, Gujarati, Oriya, Nepali†, First International Conference on Innovative Advancements in Engineering and Technology (IAET), 2014. Panyam Narahari Sastry, Ramakrishnan Krishnan,â€Å"Isolated Telugu Palm Leaf Character Recognition Using Radon Transform – A Novel Approach†, 2012 World Congress on Information and Communication Technologies, 978-1-4673-4805-8/12/2012 IEEE. Jian-xiong Dong and Dominique Ponson and Adam KrzyËâ„ ¢zak and Ching Y.Suen,â€Å"Cursive word skew/slant corrections based on Radon transform†. Rafael C. Gonzalez, Richard E.woods and Steven L Eddins, â€Å" Digital Image Processing using MATLAB†, Pearson Education, Dorling Kindersley,South Asia,2004 Lindsay I Smith,â€Å"A tutorial on Principal Components Analysis†, February 26, 2002. D.F. Specht, â€Å"Probabilistic Neural Networks†Neural Networks, vol. 3, No.1, pp. 109-118, 1990. M. T. Hagan, H. B. Demut, and M. H. Beale, Neural Network Design, 2002. Mohd Fauzi Othman, Mohd Ariffanan Mohd Basri,â€Å"Probabilistic Neural Network For Brain Tumor Classification†, 2011 Second International Conference on Intelligent Systems, Modelling and Simulation.
Friday, January 17, 2020
Difficulties disabling growth of market oriented system in China Essay
Difficulties disabling growth of market oriented system in China Introduction            The total achievements of the ongoing social economic reforms in china are very astounding, China from among the poorest nations up to 1976 when Mao Zedong died. Since then, the economy of china has grown rapidly to assume the second position of the biggest economy in the. The rapid growth of the china’s economy has brought sufficient resources to the government to further development and also has rescued million citizens from abject poverty. It is amazing to see the success and speed of the china miracle. The rapid development in china has attracted attentions worldwide in the recent years. The consequences of various aspects of the rise of china ,starting from its military muscles and expanding influence to its expanding energy supply demand, are be mostly debated within china and the international community. Thus it is crucial to correctly comprehend the achievement of china and its wide path toward higher development (Harry J Wa ters, 1997).            China has continuously faced many challenges to accomplish its performance in developing as in other developed states. Since 2001, commercial banks have been poorly allocating its funds disorderly. This has been a severe problem in china. The Chinese banking system has been a problem on the way has allocated funds.. The private business has relied on the informal finance for a long time. This has affected the success of the private sector. This situation is caused not only by banking system but also is due to capital market. The banks could have solved this challenge if it had lent out loans to the private sectors enterprises with a reasonable interest rate. The lack of reliable corporate credit information made it difficult for commercial banks to assess the risk of lending the loans (Wang, 1990).            The china government improved the legal environment, which occurred remarkably. China made changes to this legal system in accordance with the country’s accession. Even though, the law was so good in the country did not mean that market system was in phase. In fact, the banking system was deteriorating on the way was performing their duties. The senior executive specified some issues basing his argument on banking sector such as absence of regulations and rules on credit registry, the underdeveloped businesses liquidation law, the inability in criminal investigation for financial theft and irregularities(Rotberg, 2008). The PBC senior executive also launched the study project with association of World Bank and other monetary financial institutions (Wang, 1990). The main task was to propose a series of reforms to attain a new framework on the market system. The private sectors concerning the law on the banking system proceeded to the court with an aim to get loans from commercial banks with reasonable interest rates (Wang, 1990). This did not even succeed as planned by the complaints.            Nowadays when the commercial banks require enforcing their bill of rights to the collateral, they face many challenges. This occurs when they try to register some projects system, which they have to intervene with the court. The banks lack motivation of reconciliation therefore has to intervene with the court. They usually face trouble enforcing court decisions due to local government interference (Rotberg, 2008).            China has faced numerous challenges affecting the whole government and even the development of the country. In china, there has been fraud reports and corruption in banking sector. It is not of necessity whether financial frauds are on the increase or whether more crimes are reported and uncovered. There are three main challenges facing the banking system in China, which are high-technologically financial offences; the use of criminally obtained money to corrupt officials in order to run away punishment and to keep away from regulation, and funds crimes report with a more sophisticated means, global focus. The Chinese government is increasing institutional mechanisms for exposing and eradicating financial crime. This has been a prolonged challenge of fraud and corruption affecting the banking system in China (Wang, 1990).            The Chinese commercial banks’ strength to vie with foreign banks was posed in the context of three areas. These areas are in the domestic financial markets, in the open and developed domestic markets for future, and in world markets. Therefore, this is not easy for foreign banks to enter into the Chinese market. Banks involve in local currency where its mission does not move forward. This is much more expensive than simply opening branches (Rotberg, 2008). This affected the market oriented system negatively.            China indeed has achieved most of the objectives it set in 1978.it has improved significantly the well being of the citizens although it’s economic development has often been uneven and narrow. The last twenty seven years of growth and reforms has presented to the world the size of its, labour force, purchasing, creativity, commitment to development and the level of national cohesion. The contribution of china to the whole world as a way of growth will be ground breaking after mobilization of all of its resources. China has struggled with economic development mostly because of its population since a small challenge in its social development or economic when spread over a vast population become a huge problem. The most important strategic choice the government of china has made was to accept the economic globalization instead of separating itself from it .during 1970s the great signs of economic globalization and technological revolu tion was unfolding with huge momentum when Beijing held the trend and overturned the practices of Cultural Revolution (Kiichiro Fakasaku et al , 1999).            Based on the judgment of the development, the president of china alongside other great leaders in the government chose to take up the historic chance and shift the focus of their undertakings on the domestic development and hence tapping in to the international ones .they enforced the system of household contracting in the rural areas hence opening up fourteen coastal cities thus bringing in the economic period take off. Once again, china invoked a strategic because of the financial crisis that was rampant in. Asia and the continued struggles against globalization the decision of china to take part in economic globalization that it was facing was a great challenge .by clearly considering the advantages and the disadvantages related to economic openness and getting lessons from the history, the leaders in china decided to expanded china even more by deepening home economic reforms and world trade organization            The leadership of china has been striving to improve the relation with the whole world as their pursue their objective of rising in peace despite the downs and up the relationship of china and the united states for many years together with other dramatic alterations in the worldwide politics like the death of the soviet union. The leader in china has stuck to the fact that there are more good opportunities than problems for china in the international market today.            With respect to the strategic plans of china, it will take 45 years from today before it can be termed a modernized, medium level grown country. China will encounter several challenges before it get to 2050 mostly because of it’s over population, environmental pollution and lack of coordination among the two key factors of economic and social development. Another great challenge chain must encounter is clearly shown in series of tension that the government officials must deal with. The most common one are the gross domestic product growth and also social progress, between increasing job opportunities and upgrading technology, also the leaders are not sure whether to foster urbanization or expanding agricultural areas and others .to be able to solve all these dilemmas successfully, several properly coordinated policies are required to foster development which is more balanced and faster.            China is continuously losing its ample due to economic development and erosion that has swept the most top layer which is essential for crop production. The government of china is looking forward to add more energy creation capacity from other sources apart from oil and coal and is shifting their focus more on alternative energy development and nuclear sources. The major problem which are associated with setting up nuclear facilities and to maintain them .they are charged with the responsibility of putting heavy boundary the prevent radiation leakage which otherwise would cause terminal diseases such as cancer. Several other factors are converging to decelerate the growth and development .the debt overhang resulting from the stimulus program, slow recovery of the partners trading with china and industrial overcapacity. The economic growth in china has benefited eastern and the southern region more than the region. This has led north to inc reased disparity between south and north .the agricultural activity in has been left behind. Many farmers are struggling to make cater for their daily bread. Consequently this kind of imbalance has favored migration of workers to south china. It is struggling hard to fix this regional inequality (Shahid Yusuf, 2008). References Fukasaku, K., Mello, L. R., Organisation for Economic Co-operation and Development, & â€Å"Decentralisation, Intergovernmental Fiscal Relations and Macroeceonomic Governance†. (1999). Fiscal decentralisation in emerging economies: Governance issues. Paris: OECD. Waters, H. J. (1997). China’s economic development strategies for the 21st century. Westport, Conn: Quorum Books. Yusuf, S., & Saich, T. (2008). China urbanizes: Consequences, strategies, and policies. Washington, D.C: World Bank. Dorn, J. A., Wang, X., UniversiteÃŒ de Fudan (Shanghai, Chine), & Cato institute (Washington, D.C.). (1990). Economic reform in China: Problems and prospects. Chicago: University of Chicago press. Rotberg, R. I. (2008). China into Africa: Trade, aid, and influence. Washington, D.C: Brookings Institution Press. Source document
Thursday, January 9, 2020
Comparing Animal Farm And Lord Of The Flies Present Human...
Compare how Animal Farm and Lord of the Flies present human nature. George Orwell and William Golding were both writers who were concerned with human nature. They both thought that human nature had been twisted but they had slightly different interpretations of what it entails. George Orwell, who published Animal Farm in 1945, was influenced quite heavily on the Russian Revolution and was portraying human nature to be something that is weak and is easily corrupted through power and money, whereas Golding saw that human nature has always been corrupted from the very start, through the events he saw during World War 2 and seeing what man could do to each other. However these writers do also hint at the duality of human nature; they both present some kind of goodness within their respective books through characters, symbols and actions. In Animal Farm, George Orwell creates a world in which the animals overthrow a dictator and shows how the new leaders are corrupted which eventually creates worse off world. In Lord of the Flies, William Golding reveals the truth of human nature and how it is revealed through a group of boys left deserted on an unknown island. This essay will be comparing the two writer’s views of human nature and that they are both want to show the weakness of human nature and how it is manipulated. Hope is a key aspect that is portrayed within both of the books. It is presented as something that was essential and without it nothing could have beenShow MoreRelatedComparative Essay: Leadership Lord of the Flies and Animal Farm1120 Words  | 5 Pagesï » ¿Comparative essay: Leadership in Lord of the Flies and Animal Farm Essay question: You are required to write a comparative essay. You should compare one aspect of the texts such as theme, conflict, character or relationship. 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Wednesday, January 1, 2020
Julius Caesar’S Rise To Fame. Was It True That All Roads
Julius Caesar’s Rise to Fame Was it true that all roads lead to Rome? Many historians say that the Roman Empire was the most outstanding empire in history because they were huge and populated. There were many great leaders in the Roman Empire, but Julius Caesar was one that stood out the most. Caesar installed many progressive changes and military conquests to help Rome thrive. Julius Caesar was the most outstanding emperor and conqueror for the Romans in 100 BCE because he had a strong military, led the Romans to many victories, many people thought different about him, and the other countries were intimidated by his incredible power. When Julius Caesar was in power over Rome, he was one of the strongest and most feared military leaders,†¦show more content†¦When they did this, they were trying to break the other army into different area so it was easier to beat them and to get past them (Maldonado). Julius Caesar was interested in the government since he was a child because his father was involved in the government frequently. â€Å"In 78 BCE, Julius Caesar became a prosecuting attorney†(A Timeline of the Life of Julius Caesar†). In 76 BCE, he was captured by pirates. Since he was in the government, when he got home he assembled an army and went and captured the pirates that captured him. Since they were the Romans, they punished the pirates by crucifixion. In 74 BCE, Julius Caesar put together a private army and went to attack the Mithradates VI, the King of Pontus, who was an important leader in the Roman Empire. Julius Caesar did this because the people of Rome were afraid of Mithradates VI ruining it. In 73 BCE, while Julius Caesar was away, he was accepted into the College of Pontifices. When Julius Caesar came back to Rome, he was elected military tribune. â€Å"In 68 BCE, Julius Caesar was elected quaestor†(A Timeline of the Life of Julius Caesarâ₠¬ ). â€Å"In 65 BCE, Julius Caesar was elected aedile†(A Timeline of the Life of Julius Caesar†). An aedile’s job is to do maintenance around temples and other buildings. The aedile also controls public games and market places. â€Å"In 63 BCE, Julius Caesar was elected Pontifex Maximus†(A Timeline of the Life of Julius Caesar†). This was the main priest of Rome’s religion. In 62 BCE,
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