Oceania
Parliamentary Voting Procedures: Agenda Control, Manipulation, and Uncertainty
Bredereck, Robert (TU Berlin) | Chen, Jiehua (TU Berlin) | Niedermeier, Rolf (TU Berlin ) | Walsh, Toby (NICTA and the University of New South Wales )
We study computational problems for two popular parliamentary voting procedures: the amendment procedure and the successive procedure. While finding successful manipulations or agenda controls is tractable for both procedures, our real-world experimental results indicate that most elections cannot be manipulated by a few voters and agenda control is typically impossible. If the voter preferences are incomplete, then finding possible winners is NP-hard for both procedures. Whereas finding necessary winners is coNP-hard for the amendment procedure, it is polynomial-time solvable for the successive one.
Generalizing the Single-Crossing Property on Lines and Trees to Intermediate Preferences on Median Graphs
Clearwater, Adam (The University of Auckland) | Puppe, Clemens (Karlsruhe Institute of Technology) | Slinko, Arkadii (The University of Auckland)
Demange (2012) generalized the classical single-crossing property to the intermediate property on median graphs and proved that the representative voter theorem still holds for this more general framework. We complement her result with proving that the linear orders of any profile which is intermediate on a median graph form a Condorcet domain. We prove that for any median graph there exists a profile that is intermediate with respect to that graph and that one may need at least as many alternatives as vertices to construct such a profile. We provide a polynomial-time algorithm to recognize whether or not a given profile is intermediate with respect to some median graph. Finally, we show that finding winners for the Chamberlin-Courant rule is polynomial-time solvable for profiles that are single-crossing on a tree.
IJCAI Organization
Yang, Qiang (Hong Kong University of Science and Technology)
Craig Knoblock (University of Southern California, USA) Hiroaki Kitano (Sony Computer Science Laboratories, Inc., Japan) Sebastian run (Stanford University, USA) Raj Reddy (Carnegie Mellon University, USA) Ramasamy Uthurusamy (General Motors Corporation, retired) Erik Sandewall (Linköping Universit...
Fuzzy Answer Set Computation via Satisfiability Modulo Theories
Alviano, Mario, Penaloza, Rafael
Fuzzy answer set programming (FASP) combines two declarative frameworks, answer set programming and fuzzy logic, in order to model reasoning by default over imprecise information. Several connectives are available to combine different expressions; in particular the Gödel and Lukasiewicz fuzzy connectives are usually considered, due to their properties. Although the Gödel conjunction can be easily eliminated from rule heads, we show through complexity arguments that such a simplification is infeasible in general for all other connectives. The paper analyzes a translation of FASP programs into satisfiability modulo theories (SMT), which in general produces quantified formulas because of the minimality of the semantics. Structural properties of many FASP programs allow to eliminate the quantification, or to sensibly reduce the number of quantified variables. Indeed, integrality constraints can replace recursive rules commonly used to force Boolean interpretations, and completion subformulas can guarantee minimality for acyclic programs with atomic heads. Moreover, head cycle free rules can be replaced by shifted subprograms, whose structure depends on the eliminated head connective, so that ordered completion may replace the minimality check if also Lukasiewicz disjunction in rule bodies is acyclic. The paper also presents and evaluates a prototype system implementing these translations. KEYWORDS: answer set programming, fuzzy logic, satisfiability modulo theories.
Learning with Square Loss: Localization through Offset Rademacher Complexity
Liang, Tengyuan, Rakhlin, Alexander, Sridharan, Karthik
Determining the finite-sample behavior of risk in the problem of regression is arguably one of the most basic problems of Learning Theory and Statistics. This behavior can be studied in substantial generality with the tools of empirical process theory. When functions in a given convex class are uniformly bounded, one may verify the socalled "Bernstein condition." The condition--which relates the variance of the increments of the empirical process to their expectation--implies a certain localization phenomenon around the optimum and forms the basis of the analysis via local Rademacher complexities. The technique has been developed in [9, 8, 5, 2, 4], among others, based on Talagrand's celebrated concentration inequality for the supremum of an empirical process. In a recent pathbreaking paper, [14] showed that a large part of this heavy machinery is not necessary for obtaining tight upper bounds on excess loss, even--and especially--if functions are unbounded. Mendelson observed that only one-sided control of the tail is required in the deviation inequality, and, thankfully, it is the tail that can be controlled under very mild assumptions. In a parallel line of work, the search within the online learning setting for an analogue of "localization" has led to a notion of an "offset" Rademacher process [17], yielding--in a rather clean manner--optimal rates for minimax regret in online supervised learning. It was also shown that the supremum of the offset process is a lower bound on the minimax value, thus establishing its intrinsic nature.
The Grid-Based Path Planning Competition: 2014 Entries and Results
Sturtevant, Nathan R. (University of Denver) | Traish, Jason (Charles Sturt University) | Tulip, James (Charles Sturt University) | Uras, Tansel (University of Southern California) | Koenig, Sven (University of Southern California) | Strasser, Ben (Karlsruhe Institute of Technology) | Botea, Adi (IBM Research) | Harabor, Daniel (NICTA) | Rabin, Steve (DigiPen Institute of Technology)
The Grid-Based Path Planning Competition has just completed its third iteration. The entriesused in the competition have improved significantly during this time, changing the view ofthe state of the art of grid-based pathfinding. Furthermore, the entries from the competition have beenmade publicly available, improving the ability of researchers to compare their work. Thispaper summarizes the entries to the 2014 competition, presents the 2014 competition results,and talks about what has been learned and where there is room for improvement.
Automated Transformation of PDDL Representations
Riddle, Patricia J. (University of Auckland) | Barley, Michael W (University of Auckland) | Franco, Santiago (University of Auckland) | Douglas, Jordan (University of Auckland)
This paper describes a system that automatically transforms a PDDL encoding, calls a planner to solve the transformed representation, and translates the solution back into the original representation. The approach involves counting objects that are indistinguishable, rather than treating them as individuals, which eliminates some unnecessary combinatorial explosion.
A Preliminary Selection of Problems in Heuristic Search
López, Carlos Linares (Universidad Carlos III de Madrid) | Saffidine, Abdallah (University of New South Wales)
The Heuristic Search community has been concentrating much effort during the last decades in solving more and more efficiently the SHORTEST PATH problem (SPP). As a result, a valuable body of scientific results has been produced, mostly in the form of heuristics and search algorithms. However, not much attention has been given to other problems even if they result from slight variations of the typical problems addressed by the community. Furthermore, other communities attempt at solving hard combinatorial problems which might be well solved with heuristic search. In this paper, an attempt is presented to introduce a preliminary selection of relevant problems that goes well beyond the classical SPP.