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Full-Text Articles in Physical Sciences and Mathematics

Cache-Friendly, Modular And Parallel Schemes For Computing Subresultant Chains, Mohammadali Asadi Oct 2021

Cache-Friendly, Modular And Parallel Schemes For Computing Subresultant Chains, Mohammadali Asadi

Electronic Thesis and Dissertation Repository

The RegularChains library in Maple offers a collection of commands for solving polynomial systems symbolically with taking advantage of the theory of regular chains. The primary goal of this thesis is algorithmic contributions, in particular, to high-performance computational schemes for subresultant chains and underlying routines to extend that of RegularChains in a C/C++ open-source library.

Subresultants are one of the most fundamental tools in computer algebra. They are at the core of numerous algorithms including, but not limited to, polynomial GCD computations, polynomial system solving, and symbolic integration. When the subresultant chain of two polynomials is involved in a client …


Westernaccelerator:Rapid Development Of Microservices, Haoran Wei Aug 2021

Westernaccelerator:Rapid Development Of Microservices, Haoran Wei

Electronic Thesis and Dissertation Repository

Context & Motivation/problem: In the context that cloud platforms are widely adopted, Microservice Architecture (MSA) has quickly become the new paradigm for modern software development due to its great modularity, scalability, and resiliency, which fits well in the cloud environment. However, to embrace the benefits of MSA, organizations must overcome the challenges of adopting new methodologies and processes to deal with the extra development complexities that microservices created, e.g., establishing interface-based communication between distributed services and managing the configurations and locations of services. Consequently, creating a microservice-based application is relatively complex and effortful. Research Question: How to create a tool …


Fuzzy And Probabilistic Rule-Based Approaches To Identify Fault Prone Files, Piyush Kumar Korlepara Jul 2021

Fuzzy And Probabilistic Rule-Based Approaches To Identify Fault Prone Files, Piyush Kumar Korlepara

Electronic Thesis and Dissertation Repository

Most software fault proneness prediction techniques utilize machine learning models which act as black boxes when performing predictions. Software developers cannot obtain any insights as to why such trained models reached their conclusions when applied to new data. This leads to a reduced confidence in accepting the prediction results while applying the model in complex systems. In this thesis, we propose two rule-based and programming language-agnostic fault proneness prediction techniques. The first technique utilizes fuzzy reasoning, while the second utilizes Markov Logic Networks. The rules operate on facts that are produced by harvesting and postprocessing raw data extracted from the …


Calibration Between Eye Tracker And Stereoscopic Vision System Employing A Linear Closed-Form Perspective-N-Point (Pnp) Algorithm, Mohammad Karami Apr 2021

Calibration Between Eye Tracker And Stereoscopic Vision System Employing A Linear Closed-Form Perspective-N-Point (Pnp) Algorithm, Mohammad Karami

Electronic Thesis and Dissertation Repository

In many advanced driver assistance systems (ADAS) applications, it is essential to figure out where gaze of driver locates in image area of stereoscopic vision system. This problem, which involves a cross calibration between the stereo vision system and eye tracker, is a challenging task since the two systems are not consistent in modality and do not share a common image area. The eye tracker system provides a 3D gaze vector which describes the direction of driver’s 3D line of gaze, while the stereoscopic vision system provides a depth image frame. In this thesis, this crosscalibration was performed with a …