Pusat Pengajian Sains Matematik - Tesis

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Bayes And Least-Squares Procedures In Sampling From Finite Populations
(1984-04)
Mehrotra, Pretta Latha
In this thesis, we shall consider estimation 1n finite populations under a model-based superpopulation approach using least-squares and Bayesian prediction procedures. Greater emphasis will be placed on the Bayesian inference. The first chapter covers a general preview of the 'classical' fixed population approach and the superpopulation model-based approach, the general survey design framework used and a literature review relevant to this study.
Pengautomasian Penganalisisan Nota-Nota Kaki Penyata Kewangan Berasaskan Pengetahuan
(1991-07)
Wan Abdul Razak, Rohaya Amal
Matlamat utama di sini adalah untuk memperolehi suatu rekabentuk model yang bersifat pedagogi bagi transformasil penjelmaan nota kaki penyata kewangan (dalam bentuk teks) ke dalam bentuk perwakilan pengetahuan berasaskan kerangka. Perwakilan implementasi yang dipilih untuk tugas ini ialah perwakilan Framelog [Zahran 87, 89, 90], yang pada dasarnya merupakan gabungan dua formalisma pengetahuan, iaitu struktur kerangka dan formalisma logik.
Interpolasi Data Berselerak
(1994-03)
Rahmita Wirza
Tesis ini bertujuan untuk meninjau teknik-teknik bagi memodelkan permukaan yang licin bagi data berselerak dan penganggaran data berselerak tiga dimensi yang diberikan. Kaedah yang akan dibincangkan melibatkan tiga langkah iaitu, penyegitigaan data domain; penganggaran terbitan separa pada setiap data yang diberi untuk menghasilkan permukaan yang licin dan penakrifan skema interpolasi.
Manpower Planning Model For Pilot Accessions In The Royal Malaysian Air Force
(1994-04)
M. Jamil, Khairron Anuar
This research aims to evaluate recruitment policies via mathematical model to project the strength of RMAF pilots for more than ten years. Previous researches have adopted the weighted Linear Goal Programming (LGP) technique to evaluate recruitment policies, however a preemptive LGP technique is used in this research. This technique has some advantages over the weighted LGP technique.
A Resolution Based Automated Theorem Proving System Using Concurrent Processing Approach
(1994-05)
Natarajan, Surash
The research reported in this thesis is devoted to the use of concurrent processing for developing a resolution based automated theorem proving system, an application in the area of artificial intelligence. Our purpose in doing this is to study the usefulness of concurrent processing in enhancing the problem solving process in a resolution based automated theorem proving system. During our research here we investigated which component of the theorem prover can be decomposed into introducing concurrent processing and how this should be done. Our main aim in building this theorem prover was not mainly in producing a high performance theorem prover but to build a system that can be considered to be a prototype that would illustrate the idea of introducing concurrent processing in resolution based theorem provers. We believe that concurrent processing is the intermediate step in moving from sequential processing towards parallel processing. Concurrent processing provides the simplicity of sequential system design with efficient processing capabilities of parallel system. In our discussion here we present a novel design of the system and how we propose to implement it.
Assessment Of Hydraulic Response Due To Flood Mitigation Measures In Sg. Pinang Catchment, Penang
(1995-02)
Low Chee Soon
The current study aims to assess the hydraulic response of Sg. Pinang catchment under both existing and proposed conditions, by means of the advanced flow simulation model SWMM developed by the USEPA.
Modeling Of High Performance Surface Mount Molded Pqfp Packages
(1996-03)
Lee, March 1996
Surface mount plastic packaging technology has evolved in order to meet the stringent standards demanded by high density and low cost integrated circuits devices. The internal heatsink plastic quad flat pack (pqfp) has been developed to replace the traditional single layer pqfp in order to enhance the package's electrical and thermal performance. Higher external package warpage is observed on heatsink package compared to the traditional package and thus this might affect the reliability and performance of the package. This study aims to set some guidelines regarding the standard design rules for heats ink sizes and die sizes for 28x28 mm pqfp heatsink package. This will lead to improvement in the process assembly procedure and hence reduction in leadframe cost. The software mechanica developed by rasna corporation which utilizes the p-version finite element method is used in this study to analyze the impact of heatsink sizes and die sizes on the package warpage and thermal performance of the package.
Functions Starlike With Respect To A Boundary Point
(1996-11)
Abdullah, Siti Aishah Sheikh
Let u = i z : izi < l} be the unit disk and s be the class of analytic univalent functions f normalized such that i(o) = f'(d) -l = o. Let s* denote the subclass of functions f in s which satisfy the condition rei zf'(z) / fez) } > o, z e u. Functions f e s* map u univalently onto domains starlike with respect to the origin. The class s* has been extensively studied over the last fi fly years. However not much seems to be known about the class of analytic functions that map u onto domains starlike with respect to a boundary point. M.S.Robei1son [23] was the first to initiate a systematic study of this class. 00 let g denote the class of functions g(z) = l + i, d n z n analytic and non-vanishing in u n=1 and satisfying r {2zg'(z) 1+ e +--z} > o ,ze u. G(z) l-z robertson [231 had shown that nonconstant functions in the class g map u univalently onto domains starlike with respect to the boundary point. By a rotation we may assume that this point is g( i) = o. A close relation between the class g and the class s* was given such that g e g if and only if g2(z) = (l-z)2 fez) / z , f e s*. Further, g is either close-to-convex with respect to f or g is the constant function 1. Leverenz theorem r 17] is introduced in chapter 2. An equivalent finite form of the theorem is then obtained. Examples are given to illustrate its application. In chapter 3, the important role of the koebe function k(z) = z 1(1- z)2 and its rotations as related to the class g is examine.
Which Moufang Loops Are Associative
(1997-06)
Rajah, Andrew
A loop is a Moufang loop if it fulfills the identity xy. zx = (x- yz)x. Nonassociative (i.e., non-group) Moufang loops of order 24, 34 and p5(p is a prime greater than 3) are known to exist. It has also been proven that all Moufang loops of order 2a (a s 3), 3fJ (P s 3) and pY (y s 4) are associative. The aim of our research is to study the following problem: "Given a positive integer m, are all Moufang loops of order m associative?" Since O. Chein has studied the problem extensively for even values of m, we Limit our research to odd values of m in Chapter 2 and Chapter 3. Writing m as the product of powers of distinct odd primes, we answer the question above affirmatively for the following values of m: (i) pq2(p
Optimization Methods In Training Neural Networks
(2003-07)
Sathasivam, Saratha
In steepest descent methods, we construct a functional which when extremized will deliver a solution. The function will have convexity properties, so that the vector that extremizes the function is the solution of the algebraic problem in question. This means the search for the vector for which the gradient of the function is zero can be done in an iterative fashion. A special steepest descent method which is appropriate for the solution of the linear algebraic problem is the 'Conjugate Gradient Method'.
Numerical Integration And Data Reduction For Application In Photometry
(2003-10)
Chew, Tong Fatt
In this thesis, an algorithm based on a local interpolation scheme called the Average Angle Method was developed for numerical integration and data reduction of photometric data, and in general, for any data set sharing similar characteristics as the luminous intensity data The new interpolation scheme interpolates discrete data with piecewise cubic polynomials having a CI continuity in the interior. knots. The first derivatives at the interior knots are estimated from the average of the angles subtended to the horizontal by two adjacent slopes. In a further development, the algorithm is extended to create another algorithm using quintic polynomial interpolation that has C2 continuity, providing smoother interpolation curves but retaining the local nature of interpolation.
Preprocessing And Clustering Short Time-Series Microarray
(2008-06)
Loh Wei Ping
In this thesis, we addressed a general survey on issues dealing with clustering time-series microarray. Two sets of temporal microarray study data originate from Nonobese Diabetic mice (NOD mice) species; publicly available at RAO (RNA Abundance Database) and Drosophila Melanogaster species expression data; available at GEO (Gene Expression OMR Datasets) are employed.
Robust Wavelet Regression With Automatic Boundary Correction
(2012-12)
Alsaidi Almahdi Mohamed Altaher
This thesis proposes different robust methods in an attempt to keep using the idea of PWR and LP\iVR even beyond the usual assumptions of such outliers, independent or correlated non Gaussian noises and random missing data. Therefore, this thesis is divided into three parts. The first part introduces five different robust methodologies to extend the validity of PWR and LPWR to describe data contaminated with outliers and independent noises. The second part pays special exception when the noise structure is correlated.
A Weighted Least Squares Estimation Of The Polynomial Regression Model On Paddy Production For The Muda Agriculture And Development Authority (Mada) Area
(2016-01)
Musa, Rosliza
The curvilinear relationship between a dependent variable and several independent variables can be represented by a polynomial regression model. This model is used to study the relationship between response variable and predictor variable which contain square and higher-order term. Polynomial regression model is a special case of multiple regression model. The building of polynomial regression model has the same characteristics as multiple linear regressions in term of parameter estimation, regression inference, variable selection and model diagnostic. Weighted least square estimation is used as a remedy for non-constant variance. This study used polynomial regression model with weighted least square estimation to investigate paddy production of different paddy lots based on environmental and cultivation characteristics in Muda Agriculture and Development Authority (MADA) area.
An Integrated Fuzzy Model For Pattern Recognition
(2016-02)
Sagir, Abdu Masanawa
Medical diagnosis is a process of investigating which medical condition, disease or disorder describes signs and symptoms of a patient. Medical diagnosis helps to obtain different features representing the different variation of the disease. The decision about presence or absence of diseases of patients is a challenging task because many signs and symptoms are non-specific; and many tests might be required. To recognise an accurate diagnosis of symptom analysis, the physician may need efficient diagnosis system that can predict and classify patient condition. This thesis describes a methodology for developing an integrated fuzzy model by utilising the application of adaptive neuro fuzzy inference system (ANFIS) that can be used by physicians to accelerate diagnosis process. Feature selection approach was used to identify and remove unneeded, irrelevant and redundant attributes from the data that do not contribute to the accuracy of a predictive model. The proposed method used Hold-out validation technique, which divides the training and test data sets into twothirds to one-third, respectively. The proposed method uses grid partition technique to cope with seven input attributes and Gaussian membership functions than conventional method built-in Matlab, which uses small number of input attributes usually less than five. For robustness, twelve benchmarked datasets obtained from University of California at Irvine’s (UCI) machine learning repository were used in this research.
Visualization Of Curve And Surface Data Using Rational Cubic Ball Functions
(2018-02)
Wan Jaafar, Wan Nurhadani
This study considered the problem of shape preserving interpolation through regular data using rational cubic Ball which is an alternative scheme for rational Bezier functions. A rational Ball function with shape parameters is easy to implement because of its less degree terms at the end polynomial compared to rational Bezier functions. In order to understand the behavior of shape parameters (weights), we need to discuss shape control analysis which can be used to modify the shape of a curve, locally and globally. This issue has been discovered and brought to the study of conversion between Ball and Bezier curve. A conversion formula was obtained after a Bezier curve converted to the generalized form of Ball curve. It proved that this formulae not only valuable for geometric properties studies but also improves on the computational speed of the Ball curves.
Two-Dimensional Mathematical Model Named Tuna-Wq For Water Quality Analysis
(2018-10)
Chong, Michael Sueng Lock
The main purpose of this study is to develop an in-house two-dimensional water quality model, codenamed TUNA-WQ, as an alternative to currently available water quality models, which are often either difficult to set up and limited in their application or are licensed.
Efficient Entropy-Based Decoding Algorithms For Higher-Order Hidden Markov Model
(2019-03)
Chan, Chin Tiong
Higher-order Hidden Markov model (HHMM) has a higher prediction accuracy than the first-order Hidden Markov model (HMM). This is due to more exploration of the historical state information for predicting the next state found in HHMM. State sequence for HHMM is invisible but the classical Viterbi algorithm is able to track the optimal state sequence. The extended entropy-based Viterbi algorithm is proposed for decoding HHMM. This algorithm is a memory-efficient algorithm due to its required memory space that is time independent. In other words, the required memory is not subjected to the length of the observational sequence. The entropybased Viterbi algorithm with a reduction approach (EVRA) is also introduced for decoding HHMM. The required memory of this algorithm is also time independent. In addition, the optimal state sequence obtained by the EVRA algorithm is the same as that obtained by the classical Viterbi algorithm for HHMM.
Bayesian Networks With Greedy Backward Elimination In Feature Selection For Data Classification
(2019-03)
Ang, Sau Loong
Naive Bayes (NB) is an efficient Bayesian classifier with wide range of applications in data classification. Having the advantage with its simple structure. Naive Bayes gains attention among the researchers with its good accuracy in classification result. Nevertheless, the major drawback of Naive Bayes is the strong independence assumption among the features which is restrictive. This weakness causes not only confusion in the causal relationships among the features but also doubtful representation of the real structure of Bayesian Network for classification. Further development of Naive Bayes in augmenting extra links or dependent relationships between the features such as the Tree Augmented Naive Bayes (TAN) end up with slight improvement in accuracy of classification result where the main problems stated above remain unsolved.
Numerical Solutions For Two Dimensional Time-Fractional Differential Sub-Diffusion Equation
(2019-04)
Ali, Umair
In the past several decades, fractional differential equations (differential equation involving arbitrary order derivatives) have acquired much popularity in the area of science and engineering. This is because such equations can better model certain problems of fluid mechanics, physics, biological science, chemistry, hydrology and finance, amongst others, due to the fact that it can better represent system with memory. However, most fractional differential equations cannot be solved by exact analytical techniques.

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