Statistical analysis of network data flows and predictions using statistical and machine learning regression models
This thesis is submitted in partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics, 2024.
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10361-242262024-09-30T21:01:16Z Statistical analysis of network data flows and predictions using statistical and machine learning regression models Boateng, Albert Rahim, Maheen Mehjabeen Islam, Mohammad Rafiqul Department of Mathematics and Natural Sciences, BRAC University Statistical analysis Routing matrix Adjacency matrix Machine learning Regression models Traffic matrix Network data flows Network analysis (Planning). Regression analysis. This thesis is submitted in partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics, 2024. Catalogued from the PDF version of the thesis. Includes bibliographical references (pages 47-48). This paper presents a statistical analysis of measurements relating to network’s data flows and predictions using statistical and machine learning regression models. The study’s objective is to use statistical methods and machine learning regression models to analyze and make predictions on a spatio-temporal traffic volume dataset obtained by Dr. Liang Zhao (Emory University), from sensors along two major highways in Northern Virginia and Washington, D.C. This work aims to answer some fundamental questions related to the network such as: 1. What statistical inferences and descriptive analysis can be made on the network’s data flow? 2. How can one obtain the Routine Matrix of the Network from the Adjacency Matrix? 3. How can one employ various techniques, such as Regularization and Singular Value Decomposition (SVD), to solve the singularity or ill posed nature of the network in the Traffic Matrix Estimation?, and 4. How can one apply Machine Learning regression models, such as Support Vector Regressor (SVR) and XGBoost Regressor, to make predictions on the Network’s flow volume? Concepts in this work or paper can be practically applied on other real world networks to analyze and make predictions on the network’s data flow. Albert Boateng Maheen Mehjabeen Rahim B.Sc. in Mathematics 2024-09-30T04:32:06Z 2024-09-30T04:32:06Z ©2024 2024-05 Thesis ID 20216003 ID 23216010 http://hdl.handle.net/10361/24226 en Brac University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 57 pages application/pdf Brac University |
institution |
Brac University |
collection |
Institutional Repository |
language |
English |
topic |
Statistical analysis Routing matrix Adjacency matrix Machine learning Regression models Traffic matrix Network data flows Network analysis (Planning). Regression analysis. |
spellingShingle |
Statistical analysis Routing matrix Adjacency matrix Machine learning Regression models Traffic matrix Network data flows Network analysis (Planning). Regression analysis. Boateng, Albert Rahim, Maheen Mehjabeen Statistical analysis of network data flows and predictions using statistical and machine learning regression models |
description |
This thesis is submitted in partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics, 2024. |
author2 |
Islam, Mohammad Rafiqul |
author_facet |
Islam, Mohammad Rafiqul Boateng, Albert Rahim, Maheen Mehjabeen |
format |
Thesis |
author |
Boateng, Albert Rahim, Maheen Mehjabeen |
author_sort |
Boateng, Albert |
title |
Statistical analysis of network data flows and predictions using statistical and machine learning regression models |
title_short |
Statistical analysis of network data flows and predictions using statistical and machine learning regression models |
title_full |
Statistical analysis of network data flows and predictions using statistical and machine learning regression models |
title_fullStr |
Statistical analysis of network data flows and predictions using statistical and machine learning regression models |
title_full_unstemmed |
Statistical analysis of network data flows and predictions using statistical and machine learning regression models |
title_sort |
statistical analysis of network data flows and predictions using statistical and machine learning regression models |
publisher |
Brac University |
publishDate |
2024 |
url |
http://hdl.handle.net/10361/24226 |
work_keys_str_mv |
AT boatengalbert statisticalanalysisofnetworkdataflowsandpredictionsusingstatisticalandmachinelearningregressionmodels AT rahimmaheenmehjabeen statisticalanalysisofnetworkdataflowsandpredictionsusingstatisticalandmachinelearningregressionmodels |
_version_ |
1814307448372068352 |