Abstract. In this work, we examine both point and interval estimators of two-parameter exponential distribution. We determine whether point estimates are unbiased, consistent, or both, and derive exact distributions from ...

The bachelor thesis describes the relationship between the roots of the polynomial and the eigenvalues of the companion matrix, which is formed from the coefficients of the given polynomial. For numerical computing, it can ...

In order to generate observable electromagnetic signatures, astrophysical black holes have to interact with matter. Arround the black hole, matter typically forms into a symmetric disc through which it gradually inspirals ...

Modern language models are strong at generating grammatically correct, natural lan- guage. However, they still struggle with commonsense reasoning - a task involving making inferences about common everyday situations without ...

Cross-lingual abilities have been evident in large multilingual language models over the past few years. However, understanding why and under what circumstances they work is not entirely clear. In this work, we work towards ...

The aim of this thesis is to prove the Baur-Monk Theorem and thereby show complete module-theories admit an elimination of quantifiers down to (Boolean combinations of) existential formulae. To achieve this, following a ...

This bachelor's thesis focuses on a statistical method called correlation analysis. The aim of the thesis is to explain various correlation coefficients such as Pearson's correlation coefficient, point biserial correlation, ...

In this thesis, we explore the differences between tokenization methods for multilingual neural language models and investigate their impact on language model representation quality. We propose a set of metrics to evaluate ...

Se stále dostupnějším připojením k internetu roste i počet webových aplikací a jejich uživatelů. S tímto nárůstem - jak už to bývá se vším - se zvětšuje i počet lidí, kteří se snaží nedostatky v těchto aplikacích zneužít. ...

In this thesis we consider a linear inverse problem Ax ≈ b with a smoothing operator A and a right-hand side vector b polluted by unknown noise. To find good approximation of x we can use large family of iterative ...