Thesis(M. Com.(Economics)) -- University of Limpopo, 2019 / This study examined the determinants of learner performance by employing an education production function approach using the descriptive statistics, ordinary least squares (OLS) and quantile regression techniques in 2016. The study utilised the data obtained from SA-SAMS of Bankfontein combined school at Mpumalanga province. In the education production function, learner performance was estimated against variables such as age, gender, days absent and socio-economic status. The results of this study indicated that in the rural combined school, learner performance is strongly influenced by age, absenteeism and socio economic status. For instance, results revealed that absenteeism had a negative effect on learners‟ educational performance. An increase in absenteeism by 1 day led to a reduction in learner‟s examination score by approximately 0.1 percentage points during the chosen period. The “socioeconomic status” variable revealed a statistically significant and negative impact on learners‟ educational performance. The results demonstrate that poverty leads to poor educational performance as measured by examination scores. It is recommended that schools should manage learner diversity (age, gender and socio-economic factors), introduce learner motivation programmes, teacher performance improvement interventions, and improve organisational planning and development, parental involvement among others to retain learners at school. Furthermore, schools should enforce education policies that stipulate entry and exit age at different levels of schooling.

Seasonal allergic rhinitis (SAR) is a disease caused by allergens from both environmental and genetic factors. Some researchers have studied the SAR based on traditional genetic methodologies. As technology develops, a new technique called single-cell RNA sequencing (scRNA-seq) is developed, which can generate high-dimension data. We apply two machine learning (ML) algorithms, random forest (RF) and partial least squares discriminant analysis (PLS-DA), for cell source classification and gene selection based on the SAR scRNA-seq time-series data from three allergic patients and four healthy controls denoised by single-cell variational inference (scVI). We additionally propose a new fitting method consisting of bootstrap and cubic smoothing splines to fit the averaged gene expressions per cell from different populations. To sum up, we find that both RF and PLS-DA could provide high classification accuracy, and RF is more preferable, considering its stable performance and strong gene-selection ability. Based on our analysis, there are 10 genes having discriminatory power to classify cells of allergic patients and healthy controls at any timepoints. Although there is no literature founded to show the direct connections between such 10 genes and SAR, the potential associations are indirectly confirmed by some studies. It shows a possibility that we can alarm allergic patients before a disease outbreak based on their genetic information. Meanwhile, our experiment results indicate that ML algorithms may discover something between genes and SAR compared with traditional techniques, which needs to be analyzed in genetics in the future.

Insurance has been considered as a useful tool for farmers to mitigate income volatility. However, there remain concerns that insurance may distort crop production decisions. Positive mathematical programming (PMP) models of farmers’ cropping decisions can be applied to study the effect of agricultural business risk management (BRM) policies on farmers’ decisions on land use and their incomes. Before being used to examine agricultural producer responses to policy changes under the expected utility framework, the models must first be calibrated to obtain the values of the risk aversion coefficient and the cost function parameters. In chapter 2, three calibration approaches are compared for disentangling the risk parameter from the parameters of the cost function. Then, in chapter 3, to investigate the impacts on production incentives of changes in Canada’s AgriStability program, farm management models are calibrated for farms with different cost structures for three different Alberta regions. Results indicate that farmers’ observed attitudes towards risk vary with cost structure. After joining the program, all farmers alter their land allocations to some extent. The introduction of a reference margin limit (RML) in the AgriStability program under Growing Forward 2 (2013-2018), which was retained in the replacement legislation until 2020, has the most negative impact on farmers with the lowest costs. The removal of RML significantly increases the benefits to low-cost farmers. Traditional insurance products provide financial support to farmers. However, for fruit farmers, the products’ quality can be greatly affected by the weather conditions during the stage of fruit development and ripening, which may lead to quality downgrade and a significant loss in revenue with little impacts on yields. Hence, chapters 4 and 5 investigate the conceptual feasibility of using weather-indexed insurance (WII) to hedge against non-catastrophic, but quality-impacting weather conditions to complement existing traditional insurance. Prospect theory is applied to analyze a farmer’s demand for WII. The theoretical model demonstrates that an increase in the volatility of total revenue and the revenue proportion from blueberries increases the possibility of farmers’ participation in WII. On the other hand, the increase in the value loss aversion coefficient and WII’s basis risk leads to less demand for WII. To design a WII product for blueberry growers to hedge against quality risk, a quality index must be constructed and the relationship between key weather conditions, such as cumulative maximum temperature and cumulative excess rainfall, and the quality index should be quantified. The results from a partial least squares structural equation modeling (PLS-SEM) show that the above goals are achievable. Further, rainfall and temperature can be modelled via a time-series model and statistical distributions, respectively, to provide reasonable estimates for calculating insurance premia. / Graduate / 2022-08-05

Disertační práce se zabývá zpracováním mračenen bodů z laserových skenerů pomocí vektorizace a následnému vyhledávání korespondencí mezi takto získanými aproximacemi pro potřeby současné sebelokalizace a mapování v mobilní robotice. První nová metoda je určena pro segmentaci a filtraci surových dat a realizuje obě operace najednou v jednom algoritmu. Pro vektorizaci je představen optimalizovaný algoritmus založený na úplné metodě nejmenších čtverců, který je v současnosti patrně nejrychlejší ve své třídě a blíží se tak eliminačním metodám, které ovšem produkují výrazně horší aproxi- mace. Inovativní analytické metody jsou představeny i pro účely vyjádření podobnosti mezi dvěma vektorizovanými skeny, pro jejich optimální sesazení a pro vyhledávání korespondencí mezi nimi. Všechny představené algoritmy jsou intezivně testovány a jejich vlastnosti ověřeny množstvím experimentů.

Diploma thesis deals with designing of algorithmus for automatic controller tunning for DC motors. Automatic tuning function consist of system identification and controller parametrization. Cascade control loop was chosen for its robustness and proper DC motor control. For electric system identification of DC motor was used recursive method of instrumental variables, because of noisy signal from current transducer. In the case of identification mechanical system, there were used least sqares method. According to identified parameters, current controller was parametrized by optimum module and revolution controller according symetrcal optimum.

This diploma thesis deals with calibration of hydraulic simulation models, especially with methods used for calibration and parameters that are modified during calibration. The literature review in the field of mathematical modeling, basic principles applied in hydraulic modeling and the current approach to calibration and data collection is done in theoretical part. In the practical part of the thesis, a hydraulic model of the group water supply system Horní Dunajovice is built and subsequently calibrated. The calibration is first performed manually for the normal operational status and then using a calibration software created for this purpose for a load case with high velocity.

An accurate estimate of the mass of a passenger vehicle is important for several safety systems and environmental aspects. In this thesis, an algorithm for estimating the mass of a passenger vehicle using the recursive least squares methodis presented. The algorithm is based on a physical model of the vehicle and is designed to be able to run in real-time onboard a vehicle and uses the wheel torque signal calculated in the electrical control unit in the engine. Therefore no estimation of the powertrain is needed. This is one contribution that distinguishes this thesis from previous work on the same topic, which has used the engine torque. The benefit of this is that no estimation of the dynamics in the powertrain is needed. The drawback of using this method is that the algorithm is dependenton the accuracy of the estimation done in the engine electrical control unit. Two different versions of the recursive least squares method (RLS) have been developed - one with a single forgetting factor and one with two forgetting factors. The estimation performance of the two versions are compared on several different real-world driving scenarios, which include driving on country roads, highways, and city roads, and different loads in the vehicle. The algorithm with a single forgetting factor estimates the mass with an average error for all tests of 4.42% and the algorithm with multiple forgetting factors estimates the mass with an average error of 4.15 %, which is in line with state-of-the-art algorithms that are presented in other studies. In a sensitivity analysis, it is shown that the algorithms are robust to changes in the drag coefficient. The single forgetting factor algorithm is robust to changes in the rolling resistance coefficient whereas the multiple forgetting factor algorithm needs the rolling resistance coefficient to be estimated with fairly good accuracy. Both versions of the algorithm need to know the wheel radius with an accuracy of 90 %. The results show that the algorithms estimate the mass accurately for all three different driving scenarios and estimate highway roads best with an average error of 2.83 % and 2.69 % for the single forgetting factor algorithm and the multiple forgetting factor algorithm, respectively. The results indicate it is possible to use either algorithm in a real-world scenario, where the choice of which algorithm depends on sought-after robustness.

This piece of work deals with a philosophy of design adaptive controller, which is based on knowledge of mathematical model controlled plant. This master thesis is focused on closed-loop on-line parametric identification methods. An estimation of model´s parametres is solved by two main concepts: recursive leastsquare algorithms and neural estimators. In case of least-squares algorithm the strategy of preventing the typical problems are solved here. For instance numerical stability, accurecy and restricted forgetting. Back Propagation and Marquardt- Levenberg algorithm were choosen to represent artificial inteligence. There is still a little supermacy on the side of methods based on least-squares algorithm. To compare individual algorithms the grafical interface in MATLAB/Simulink was created.

This work deals with the on-line identification of permanent magnet synchronous motor parameters. There is discussed the use of four different identification algorithms based on the least squares method and MRAS. The functionality of the algorithms is verified in Matlab - Simulink environment. Simulation results are compared in terms of rate and accuracy of identification, resistance to noise and other factors.

This thesis deals with problem of experimental identification using principles of artificial intelligence and development of nonlinear models. It shows how to estimate parameters of nonlinear models and it compares different types of nonlinear models based on analytical analysis which were developed from measured data in simulation and real system motors with flexible component.