DSpace Collection:http://oaps.umac.mo/handle/10692.1/2332022-05-24T06:49:46Z2022-05-24T06:49:46ZClassification problems in machine learningCHENG, SHENG QI(程勝祺)http://oaps.umac.mo/handle/10692.1/2642021-07-05T09:29:36Z2021-01-01T00:00:00ZTitle: Classification problems in machine learning
Authors: CHENG, SHENG QI(程勝祺)
Abstract: In this report, we will introduce and study some different classifiers of scikit-learn which is machine learning in Python. First, we apply 3 different classifications (SGD classifier, random forest classifier and k-nearest neighbors classifier) on a model of identifying a digit from 70,000 handwritten images and compare their advantages and disadvantages. Then we make the combination of the other 3 classifications(logistic regression classifier, decision tree classifier and k-nearest neighbors classifier) as a new ensemble classifier by the majority voting principle. We evaluate and tune the new ensemble classifier through the decision area. And the regularization parameter C of logistic regression classifier and the depth of decision tree are tuned by grid search.2021-01-01T00:00:00ZThe Fundamental Theorem of Algebra and its proofsGAO, YANG(高洋)http://oaps.umac.mo/handle/10692.1/2632021-07-05T09:29:27Z2021-01-01T00:00:00ZTitle: The Fundamental Theorem of Algebra and its proofs
Authors: GAO, YANG(高洋)
Abstract: Though the fundamental theorem of algebra is of algebraic nature, it can be proved by a variety of methods. The purpose of this thesis is to provide several of its proofs from the perspectives of algebra, analysis and topology respectively. I believe this project will be a very good summary and application of the knowledge that I have learned from my undergraduate studies, especially as it utilizes knowledge from different fields of Mathematics.2021-01-01T00:00:00ZOn the singular values of the commutator of 2x2 matricesCHAN, KA LAM(陳嘉琳)http://oaps.umac.mo/handle/10692.1/2622021-07-05T09:29:18Z2021-01-01T00:00:00ZTitle: On the singular values of the commutator of 2x2 matrices
Authors: CHAN, KA LAM(陳嘉琳)
Abstract: We determine the region of singular values of the commutator XY-YX for 2X2 matrices X and Y of unit trace norm. Also, assuming the boundary curve, we find another approach to fill the region of the singular values of commutators with 2×2 rank one matrices.2021-01-01T00:00:00ZClassification Problems in Machine LearningZENG, JIA LIN(曾嘉琳)http://oaps.umac.mo/handle/10692.1/2612021-07-05T09:28:56Z2021-01-01T00:00:00ZTitle: Classification Problems in Machine Learning
Authors: ZENG, JIA LIN(曾嘉琳)
Abstract: In this report, we will introduce and study the selection and applications of the classifiers in the machine learning. We will use two examples to illustrate how to choose the classifier and how to evaluate the classifier’s generalization performance, so as to choose the best classifier to solve different problems. Case study 1: recognize the handwritten digits, we choose SGD classifier, random forest classifier and KNN classifier to stimulate and predict, in order to evaluate the effect of different classifiers and conclude the advantages and shortages of them. Case study 2: identify the species of IRIS, we will use logistic regression, decision tree and KNN to form an ensemble classifier to identify the species of IRIS so that we can conclude the advantages and shortages for both ensemble and single adjective classifiers.2021-01-01T00:00:00Z