Mr. Alfred Lucas, O.B.E.*

OBE: Outlier by Example

Outlier detection in large datasets is an important problem. There are several recent approaches that employ very reasonable definitions of an outlier. However, a fundamental issue is that the notion of which objects are outliers typically varies between users or, even, datasets. In this paper, we present a novel solution to this problem, by bringing users into the loop. Our OBE (Outlier By Exa...

Lucas-sierpiński and Lucas-riesel Numbers

In this paper, we show that there are infinitely many Sierpiński numbers in the sequence of Lucas numbers. We also show that there are infinitely many Riesel numbers in the sequence of Lucas numbers. Finally, we show that there are infinitely many Lucas numbers that are not a sum of two prime powers.

The theoretical relevance of OBE research

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Alfred Goldberg

system, where non-sexualised images, e.g. from clothes ads or even from nudist beaches get the green light, erotic posing counts as amber, and material focusing on genitals or actual acts of child abuse gets the red light. “We train the patient to move only in the green area,” Ahlers told the paper. “Amber means: Caution! Potential danger for children and for myself! Risky behaviour on the verg...

Alfred Sheen