Research background: Since the publication of Markowitz’ Portfolio Selection Theory, researchers and practitioners have been searching for optimal structure investment portfolios. An unlimited number portfolio-based strategies created since 1952. However, none these seem to continuously generate overperformance over a long time period. This may also be due strong dynamics economic development o...

In the Possible Winner problem in computational social choice theory, we are given a set of partial preferences and the question is whether a distinguished candidate could be made winner by extending the partial preferences to linear preferences. Previous work has provided, for many common voting rules, fixed parameter tractable algorithms for the Possible Winner problem, with number of candida...

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a common algorithm used for winner prediction is to run the election on a small sample of randomly chosen votes and output the winner as the prediction. We anal...

Hilbert C∗-modules are useful tools in AW ∗-algebra theory, theory of operator algbras, operator K-theory, group representation theory and theory of operator spaces. The theory of Hilbert C∗-modules is very interesting on its own. In this paper we give fundamentals of the theory of Hilbert C∗-modules and examine some ways in which Hilbert C∗-modules differ from Hilbert spaces.

Although recent years have seen a surge of interest in the computational aspects of social choice, no attention has previously been devoted to elections with multiple winners, e.g., elections of an assembly or committee. In this paper, we fully characterize the worst-case complexity of manipulation and control in the context of four prominent multi-winner voting systems. Additionally, we show t...

The "kill the winner" hypothesis is an attempt to address the problem of diversity in biology. It argues that host-specific predators control the population of each prey, preventing a winner from emerging and thus maintaining the coexistence of all species in the system. We develop a stochastic model for the kill the winner paradigm and show that the stable coexistence state of the deterministi...

. Bastian Leibe, Konrad Schindler, Nico Cornelis, and Luc Van Gool, “Coupled Object Detection and Tracking from Static Cameras and Moving Vehicles,” winner of the Best Paper Prize, sponsored by Siemens and ObjectVideo. . Anat Levin, Alex Rav-Acha, and Dani Lischinski, “Spectral Matting,” winner of the Best Paper Prize Honorable Mention, sponsored by Honeywell and Siemens. . Oncel Tuzel, Fatih P...