Similarities and Differences in Computing with Words
... disguise. However, this is not true because there are major differences in corresponding calculi for computing the values of logical formulas from their components.". ...
... disguise. However, this is not true because there are major differences in corresponding calculi for computing the values of logical formulas from their components.". ...
Cloze but no cigar: The complex relationship between cloze, corpus,... subjective probabilities in language processing
... from the Web 1T 5-gram corpus (Brants & Franz, 2006), which was compiled from one trillion words of English web text. (By ‘stem’ we mean nothing more or less than four words which begin a sentence.) The messy nature of this corpus required a complex selection procedure; we summarize the most importa ...
... from the Web 1T 5-gram corpus (Brants & Franz, 2006), which was compiled from one trillion words of English web text. (By ‘stem’ we mean nothing more or less than four words which begin a sentence.) The messy nature of this corpus required a complex selection procedure; we summarize the most importa ...
Probability
... centuries from attempts by mathematicians such as Gerolamo Cardano, Pierre de Fermat, Blaise Pascal, and Christiaan Huygens to understand games of chance. Andrey Nikolaevich Kolmogorov set forth the foundations of modern probability theory in his 1933 book Foundations of the Theory of Probability. T ...
... centuries from attempts by mathematicians such as Gerolamo Cardano, Pierre de Fermat, Blaise Pascal, and Christiaan Huygens to understand games of chance. Andrey Nikolaevich Kolmogorov set forth the foundations of modern probability theory in his 1933 book Foundations of the Theory of Probability. T ...
"Bayesian Data Analysis"(pdf)
... Witches was an essential step along the road to scientific thinking. Probability, too, if regarded as something endowed with some kind of objective existence, is not less a misleading misconception, an illusory attempt to exteriorize or materialize our true probabilistic beliefs. In investigating th ...
... Witches was an essential step along the road to scientific thinking. Probability, too, if regarded as something endowed with some kind of objective existence, is not less a misleading misconception, an illusory attempt to exteriorize or materialize our true probabilistic beliefs. In investigating th ...
PDF
... complex algorithms. Therefore, time-invariant uniform quantization is a practically useful encoding rule for controller-actuator communication. The investigation of the finite-action approximation problem is also useful in computing near optimal policies and learning algorithms for MDPs. In a recent ...
... complex algorithms. Therefore, time-invariant uniform quantization is a practically useful encoding rule for controller-actuator communication. The investigation of the finite-action approximation problem is also useful in computing near optimal policies and learning algorithms for MDPs. In a recent ...
Laws of Probability - University of Reading
... Definitions continued… • Intersection – the intersection of events A and B, written A B (also A and B), is the set of outcomes that belong to both A and B, i.e. it is the overlap of A and B. ...
... Definitions continued… • Intersection – the intersection of events A and B, written A B (also A and B), is the set of outcomes that belong to both A and B, i.e. it is the overlap of A and B. ...
Lecture 7 - McGill University
... Compare: propositional Horn clauses with first-order logic theories or Java programs. • Also, often need more examples. ...
... Compare: propositional Horn clauses with first-order logic theories or Java programs. • Also, often need more examples. ...
Testing the Expansion of a Graph - School of Mathematical Sciences
... As we have mentioned before, the Goldreich-Ron algorithm when applied to the vertex expansion problem was analyzed in [3], where it was shown that it can distinguish between α-expanders and graphs that are far from α2 / log n-expanders. Theorem 2.1 thus improves the result of [3] by completely remov ...
... As we have mentioned before, the Goldreich-Ron algorithm when applied to the vertex expansion problem was analyzed in [3], where it was shown that it can distinguish between α-expanders and graphs that are far from α2 / log n-expanders. Theorem 2.1 thus improves the result of [3] by completely remov ...
Are Lock-Free Concurrent Algorithms Practically Wait
... uler for a shared memory environment is that of Aspnes [2], who gave a fast consensus algorithm under a probabilistic scheduler model different from the one considered in this paper. The observation that many lock-free algorithms behave as wait-free in practice was made by Herlihy and Shavit in the ...
... uler for a shared memory environment is that of Aspnes [2], who gave a fast consensus algorithm under a probabilistic scheduler model different from the one considered in this paper. The observation that many lock-free algorithms behave as wait-free in practice was made by Herlihy and Shavit in the ...
Ars Conjectandi
Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.