Iterative Jump To Binding Point For Simplex Method,
2019
Faculty of Science
Iterative Jump To Binding Point For Simplex Method, Rujira Visuthirattanamanee
Chulalongkorn University Theses and Dissertations (Chula ETD)
The basic idea of an iterative jump method is moving a feasible point along the direction that improves the objective value maintaining the feasibility. It is applied for solving a linear programming (LP) model without artificial variables by applying the iterative jump on the LP relaxation having only acute constraints with respect to the objective direction and reinsert all non-acute constraints to find the optimal solution which is named SAJS. However, it may cause the last jump point to locate far away from the optimal solution so another approach for initially finding a suitable starting point is proposed. The new …
First Order Integer-Valued Autoregressive Model With A Two-Parameter Generalized Poisson-Lindley Distribution,
2019
Faculty of Science
First Order Integer-Valued Autoregressive Model With A Two-Parameter Generalized Poisson-Lindley Distribution, Suchiraporn Bunyaris
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this study, we introduce the first order integer-valued autoregressive models for count data with the two-parameter generalized Poisson-Lindley distribution. The thinning operators considered in this study are the binomial and negative binomial thinning operators. Some important probabilistic and statistical properties such as moments, stationarity and autocorrelation functions are derived. Moreover, parameter estimations and numerical simulations to examine the constructed model are performed. Finally, applications of the models for real data sets are also discussed.
Graph Representation For Room Layout Matching Using Spectral Embedding,
2019
Faculty of Science
Graph Representation For Room Layout Matching Using Spectral Embedding, Thamonwan Sa-Ngawong
Chulalongkorn University Theses and Dissertations (Chula ETD)
Graph matching is efficient to search similar layout when the architectural floor plan data size is increasing. Because the computational time of floor plan matching using spectral embedding is only in seconds, so it is one of the popular methods. However, the isomorphism of each floor plan leads to low accuracy in the matching process and it becomes the weakness of this method. Therefore, we propose a graph representation for room layout matching using spectral embedding. Normally, graph representations of the floor plan define nodes as rooms and edges as connections between rooms. Besides, the graph spectral embedding is to …
Some Properties Of Uniform Fuzzy Modules And Semiuniform Fuzzy Modules,
2019
Faculty of Science
Some Properties Of Uniform Fuzzy Modules And Semiuniform Fuzzy Modules, Burhan Chemat
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we study some properties of uniform fuzzy modules and semiuniform fuzzy modules. Let R be a ring with the identity and M a right R-module. A submodule A of a right R-module M is called an essential submodule of M, if any non-zero submodule B of M, A∩B≠{θ} where θ is the zero element in M. A right R-module M is called a uniform module, if any non-zero submodule of M is an essential submodule of M. A submodule α of a fuzzy module μ in a right R-module M is called an essential submodule of μ, …
Distance Powers Of Partial Unitary Cayley Graphs,
2019
Faculty of Science
Distance Powers Of Partial Unitary Cayley Graphs, Muntiranee Mongkolsin
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
English Translation Of Einige Gesetze Ueber Die Theilung Der Ebene Und Des Raumes,
2019
Utah State University
English Translation Of Einige Gesetze Ueber Die Theilung Der Ebene Und Des Raumes, Justin Heavilin
Mathematics and Statistics Faculty Publications
The article “Einige Gesetze ueber die Theilung der Ebene und des Raumes.” was published by J. Steiner in the very first volumn of the Journal fuer die reine und angewandte Mathematik in 1826. Journal fuer die reine und angewandte Mathematik is the oldest mathematics periodical in existence.† . My translation is meant to convey the ideas published by Steiner, and when presented with the choice between translating faithfully to the original text or clarity of his ideas, I admit to choosing the later. There are two footnotes original to the text, which appear with asterisks. Where helpful I included additional …
Normal Approximation For Locally Dependent Collateralized Debt Obligation,
2019
Faculty of Science
Normal Approximation For Locally Dependent Collateralized Debt Obligation, Suporn Jongpreechaharn
Chulalongkorn University Theses and Dissertations (Chula ETD)
This dissertation sheds light on a collateralized debt obligation (CDO) since it resulted in the financial crisis between 2007 and 2008. Because of damage of this crisis, several authors have attempted to approximate loss on a tranche of a CDO. For instance, in 2009, Karoui and Jiao used a normal random variable to approximate the loss on a tranche of a CDO containing independent assets. However, in this work, we are attentive to dependence structure among assets in a CDO. We present two types of dependent condition: local dependence (LD) and disjoint local dependence (DLD). They roughly mean that defaults …
Boundaries Of Overlapping Reuleaux Triangles,
2019
Faculty of Science
Boundaries Of Overlapping Reuleaux Triangles, Jirapat Kaewkam
Chulalongkorn University Theses and Dissertations (Chula ETD)
where R1 and R2 are two congruent Reuleaux triangle such that Int(R1)∩Int(R2) ̸= ∅. Denote ∂Ri and Int(Ri) the boundary and the interior of Ri , respectively. We finish the proof when R2 is a translated copy R1 and we obtain some interesting results when R1 and R2 intersect in general position.
Augmented Sensors For Particulate Matter Concentration Prediction Using Supervised Learning Models,
2019
Faculty of Science
Augmented Sensors For Particulate Matter Concentration Prediction Using Supervised Learning Models, Chadaphim Photphanloet
Chulalongkorn University Theses and Dissertations (Chula ETD)
Particulate matter concentration prediction models have been researched, developed, and applied to data from various topography around the world. The characteristics of different topography make a model suitable for each specific topography. This dissertation proposes a novel method to predict particulate matter concentration with a diameter smaller than 10 microns in Nan Province of Thailand that integrates feature selection method, supervised learning model, and modified depth-first search algorithm. Unlike the traditional supervised learning models, the proposed method is able to accept multi-dimensional data as input which consist of particulate matter concentration, air pollutants, and air qualities. These features are the …
Long-Time Behavior Of A Nonlocal Dispersal Equation,
2019
Faculty of Science
Long-Time Behavior Of A Nonlocal Dispersal Equation, Aussacha Dintawong
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, study the nonlocal dispersal equation [equation] with a non-homogeneous boundary condition. We generalize the result of J.W. Sun (2015), where in this work the kernel J has a non-compact support. The global well-posedness and comparison principles (both time-dependent and stationary problems) are established. The main result is the long-time behavior of solutions, which is proved to depend on the boundary data.
Uniform Distribution Of Fractional Parts Of Average Of Kth Power Of Prime Divisors,
2019
Faculty of Science
Uniform Distribution Of Fractional Parts Of Average Of Kth Power Of Prime Divisors, Chitpanu Chairatanagul
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we prove that for every positive integer k greater than or equal to two, the sequence of the fractional parts of the arithmetic mean of the kth power of prime divisors of n counted with or without multiplicity, as n runs through all positive integers, is uniformly distributed modulo one.
Generalized Topologies Induced By Monotonic Maps And Hereditary Classes,
2019
Faculty of Science
Generalized Topologies Induced By Monotonic Maps And Hereditary Classes, Sahawat Wongkhunen
Chulalongkorn University Theses and Dissertations (Chula ETD)
It is shown in [3] that every generalized topology can be extended to a new one by using hereditary classes, called a generalized topology via a hereditary class. Following [5], the continuity on generalized topological spaces via hereditary classes was studied. In this thesis, we introduce the notion of generalized topological spaces induced by monotonic maps and hereditary classes and provide some of their properties. Also, we define and study the continuity on generalized topological spaces induced by monotonic maps and hereditary classes in various situations. Finally, we study some properties and characterizations of generalized topological spaces induced by monotonic …
Classification Of Aircraft With Shadow Using Keypoint Descriptor From Remote Sensing Images,
2019
Faculty of Science
Classification Of Aircraft With Shadow Using Keypoint Descriptor From Remote Sensing Images, Natnicha Meeboonmak
Chulalongkorn University Theses and Dissertations (Chula ETD)
Presently, aircraft classification from remote sensing images is widely used in military and civilian. However, aircraft type classification is still challenging to discriminate. The reason is that the aircraft displayed in the image has different in color, shape, size, and orientation. Moreover, there is the shadow appeared over and behind the aircraft that obscures some details of aircraft. Therefore, this work proposes the classification of aircraft with shadow method. This method modifies the deeply supervised salient object detection with short connections to make the aircraft be outstanding from the shadow and other objects in the background and then segment it. …
Spectra Of Unitary Cayley Graphs Of Matrices Over Finite Commutative Rings,
2019
Faculty of Science
Spectra Of Unitary Cayley Graphs Of Matrices Over Finite Commutative Rings, Jitsupat Rattanakangwanwong
Chulalongkorn University Theses and Dissertations (Chula ETD)
For a finite ring R with identity, the unitary Cayley graph of R, CR, is the graph with vertex set R and for each x, y ∈ R, x and y are adjacent if and only if x − y is a unit of R. In this thesis, we determine some eigenvalues of CMn(F) , where F is a finite field, by using the additive characters and use these eigenvalues to analyze strong regularity, hyperenergetic graphs and Ramanujan graphs. Next, we extend the results to CMn(R) , where R is a local ring. We characterize all local rings R and …
Normalized Hodge Laplacian Matrix And Its Spectrum,
2019
Faculty of Science
Normalized Hodge Laplacian Matrix And Its Spectrum, Nalinpat Ponoi
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Development Of Facial Expression Detection Model For Stroke Patients,
2019
Faculty of Science
Development Of Facial Expression Detection Model For Stroke Patients, Rawinan Praditsangthong
Chulalongkorn University Theses and Dissertations (Chula ETD)
A stroke patient should be cared and treated closely since the patient cannot speak, communicate, and move the body when needed. In addition, the number of stroke patients is increasing in Thailand and around the world. Unfortunately, the number of medical staffs does not vary by the number of stroke patient. Thus, the aim of this research is to develop a facial expression detection model for stroke patients during their treatments. This research proposes the facial expression detection model for stroke patients from facial features, such as Interpalpebral Fissure (IPF), Palpebral Fissure Length (PFL), Palpebral Fissure Region (PFR), Inner Brow …
Binomial Characterizations Of Inner Product Spaces,
2019
Faculty of Science
Binomial Characterizations Of Inner Product Spaces, Saranyachakri Roekrit
Chulalongkorn University Theses and Dissertations (Chula ETD)
We study the sufficient conditions for a normed space to be an inner product space. We found that some characterizations of inner product spaces are in a form [equation] satisfy some algebraic conditions. We then introduce some characterizations of inner product spaces relating to the binomial identity and conclude that a nomed linear space (X,II.II) is an inner product space if there exist positive integers k and m with 2m
Solving Interval-Valued Returns Mean Absolute Deviation Portfolio Selection Model Under Basis Stability,
2019
Faculty of Science
Solving Interval-Valued Returns Mean Absolute Deviation Portfolio Selection Model Under Basis Stability, Songkomkrit Chaiyakan
Chulalongkorn University Theses and Dissertations (Chula ETD)
This work discusses a portfolio selection model with interval linear programming arising from the uncertainty of future rates of return and the disagreement over their estimates. The risk of the overall portfolio is proposed as an objective function to obtain a well-diversified portfolio with a certain threshold rate of return. The optimization problem employs mean absolute deviation as a risk measure for the sake of risk diversification and time complexity. The possible ranges of optimal portfolio returns and associated risks are derived. The duality theory contributes to an enclosure of the optimal portfolios. When the bounds on future rates of …
Aircraft Detection Using Single Shot Scale-Invariant Face Detector With Viridis Saliency Map From Remote Sensing Image,
2019
Faculty of Science
Aircraft Detection Using Single Shot Scale-Invariant Face Detector With Viridis Saliency Map From Remote Sensing Image, Teepakorn Lilek
Chulalongkorn University Theses and Dissertations (Chula ETD)
Aircraft detection from remote sensing images is a useful task and essential in many fields; for example, in the military, aircraft detection systems are used to search and inspect an enemy aircraft from remote sensing images. Nowadays, aircraft detection from remote sensing images has gained increasing research attention because this task is very challenging. This task is difficult due to many occurred problems in remote sensing images, such as a shadow, a complicated background, and various aircraft scales. In this research, we create a Viridis saliency map using many techniques from image processing such as color mapping, morphological image processing, …
Logo Classification Of Amphetamines By Surf And Bag-Of-Features Model,
2019
Faculty of Science
Logo Classification Of Amphetamines By Surf And Bag-Of-Features Model, Tharaphon Nitijiramon
Chulalongkorn University Theses and Dissertations (Chula ETD)
An amphetamine is one of the drugs apprehended by the policemen in Thailand. At present, when an amphetamine drug seller is arrested, captured amphetamines are sent to the Scientific Crime Detection Center Region 1 to identify the amphetamines' source. Each drug is classified based on the printed character to relevant information from the source of drugs. For each case, a large volume of drugs is sent to be classified by only three staff members. It is a time-consuming task. In this work, we propose a framework for classifying the image of amphetamines based on their logo using the SURF and …
