Essays about: "Matematisk statistik"
Showing result 1 - 5 of 1299 essays containing the words Matematisk statistik.
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1. Projective Geometry in Kinematics
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : In this thesis, we study projective geometry and show a connection to kinematics. We show how the group of rigid body motions in three-dimensional space can be parameterized on a hyperbolic quadric in a seven-dimensional projective space. We also show that this quadric is a geometry with triality, and we discuss triality from a kinematic viewpoint. READ MORE
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2. Predicting True Sepsis and Culture-positive Sepsis in Intensive Care Unit with Machine Learning Techniques
University essay from Lunds universitet/Matematisk statistikAbstract : Sepsis, a serious medical condition often leading to patients requiring intensive care, has prompted numerous scientists to employ mathematical techniques to aid in its diagnosis. This thesis uses logistic regression and a machine learning technique, XGBoost, to predict true sepsis (as opposed to sepsis mimics) and culture-positive sepsis (among true sepsis) in critical care using blood test results, physiological measurements and other patient characteristics. READ MORE
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3. The Abel-Ruffini Theorem : The insolvability of the general quintic equation by radicals
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : This thesis explores the topic of Galois theory at a relatively introductory level with the goal of proving the Abel Ruffini theorem. In the first part algebraic structures are considered: groups, ring, fields, etc. Following this, polynomial rings are introduced and the attention is then turned to finite field-extensions. READ MORE
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4. Where to Fuse
University essay from Lunds universitet/Matematisk statistikAbstract : This thesis investigates fusion techniques in multimodal transformer models, focusing on enhancing the capabilities of large language models in understanding not just text, but also other modalities like images, audio, and sensor data. The study compares late fusion (concatenating modality tokens after separate encoding) and early fusion (concatenating before encoding) techniques, examining their respective advantages and disadvantages. READ MORE
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5. Classifying Previous Covid-19 Infection : Advanced Logistic Regression Approach
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : The study aimed to developed a logistic model based on antibody proteins, vaccinations and demographic factors that predicts previous infection in Covid-19. The data set comprised of 2750 individuals from eldercare homes in Sweden, with four test dates executed between October of 2021 and August of 2022. READ MORE
