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		<property:Field_data rdf:datatype="http://www.w3.org/2001/XMLSchema#string">8#$a Abstract: The current breast cancer control strategy employed in the Brazilian public health system relies on manual determination of BI-RADS scores by clinicians to assess malignancy during ultrasound examinations, often leading to unnecessary biopsies. Predicting malignancy from clinical and ultrasound features could ease pathologists’ workload and offset skill gaps in beginner or non-specialist physicians. Machine learning has shown promise in using B-mode ultrasound features to predict breast lesion malignancy. In this thesis, we discuss elements from the theory of machine learning, including concentration inequalities and VC dimension, which are key concepts to analyse the generalization properties of learning algorithms. Then, we show how such concepts can be used to devise generalization bounds for the predictive values. In scenarios with large sample sizes and small VC dimension, a learning-theoretical validation study based on these predictive value generalization bounds would be possible. We also present a gradient boosting approach for identifying benign lesions that incorporates both clinical and Doppler-based features alongside classical B-mode ultrasound features. An XGBoost classifier was trained with data from 1929 breast lesions obtained from a cohort of patients across four breast cancer reference centers in Brazil. Our classifier achieved a mean area under the precision-recall curve (AUPRC) of 0.95 and good calibration in repeated 5-fold cross-validation. Our work provides a promissing gradient boosting solution that may be of benefit to clinical practice. Although not applicable to the estimation of the generalization error of the predictive value curves in our problem due to an insufficient sample size and lack of tightness in current estimates of the VC dimension of gradient-boosted trees, the mathematical tools developed in this thesis are of utmost importance to the design of reliable learning algorithms and may be applied to a wider range of problems than the ones considered is this thesis.</property:Field_data>
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		<property:Field_data rdf:datatype="http://www.w3.org/2001/XMLSchema#string">04$a Aprendizagem de Máquina</property:Field_data>
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		<property:Field_data rdf:datatype="http://www.w3.org/2001/XMLSchema#string">1#$a Gonçalves, Douglas Soares, $e orientador</property:Field_data>
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		<property:Field_data rdf:datatype="http://www.w3.org/2001/XMLSchema#string">2#$a Universidade Federal de Santa Catarina. $b Programa de Pós-Graduação em Matemática Pura e Aplicada</property:Field_data>
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		<property:Field_data rdf:datatype="http://www.w3.org/2001/XMLSchema#string">40$z Versão integral em pdf $u https://bu.ufsc.br/teses/PMTM0316-D.pdf</property:Field_data>
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