Oceania
Combining RCC-8 with Qualitative Direction Calculi: Algorithms and Complexity
Liu, Weiming (State Key Laboratory of Intelligent Technology and Systems, Tsinghua University) | Sanjiang, Li (Centre for Quantum Computation and Intelligent Systems, University of Technology Sydney) | Jochen, Renz (Research School of Information Sciences and Engineering, The Australian National University)
Increasing the expressiveness of qualitative spatial calculi is an essential step towards meeting the requirements of applications. This can be achieved by combining existing calculi in a way that we can express spatial information using relations from both calculi. The great challenge is to develop reasoning algorithms that are correct and complete when reasoning over the combined information. Previous work has mainly studied cases where the interaction between the combined calculi was small, or where one of the two calculi was very simple. In this paper we tackle the important combination of topological and directional information for extended spatial objects. We combine some of the best known calculi in qualitative spatial reasoning (QSR), the RCC8 algebra for representing topological information, and the Rectangle Algebra (RA) and the Cardinal Direction Calculus (CDC) for directional information. Although CDC is more expressive than RA, reasoning with CDC is of the same order as reasoning with RA. We show that reasoning with basic RCC8 and basic RA relations is in P, but reasoning with basic RCC8 and basic CDC relations is NP-Complete.
Diagnosing Multiple Persistent and Intermittent Faults
Kleer, Johan de (Palo Alto Research Center)
Almost all approaches to model-based diagnosis presume that the system being diagnosed behaves non-intermittently and analyze behavior over a small number (often only one) of time instants. In this paper we show how existing approaches to model-based diagnosis can be extended to diagnose intermittent failures as they manifest themselves over time. In addition, we show where to insert probe points to best distinguish among the intermittent faults those that best explain the symptoms and isolate the fault in minimum expected cost.
A Divide-and-Conquer Approach for Solving Interval Algebra Networks
Li, Jason Jingshi (Australian National University) | Huang, Jinbo (National ICT Australia) | Renz, Jochen (Australian National University)
Deciding consistency of constraint networks is a fundamental problem in qualitative spatial and temporal reasoning. In this paper we introduce a divide-and-conquer method that recursively partitions a given problem into smaller sub-problems in deciding consistency. We identify a key theoretical property of a qualitative calculus that ensures the soundness and completeness of this method, and show that it is satisfied by the Interval Algebra (IA) and the Point Algebra (PA). We develop a new encoding scheme for IA networks based on a combination of our divide-and-conquer method with an existing encoding of IA networks into SAT. We empirically show that our new encoding scheme scales to much larger problems and exhibits a consistent and significant improvement in efficiency over state-of-the-art solvers on the most difficult instances.
Local Search: Is Brute-Force Avoidable?
Fellows, Michael R. (University of Newcastle) | Fomin, Fedor V. (University of Bergen) | Lokshtanov, Daniel (University of Bergen) | Rosamond, Frances A. (University of Newcastle) | Saurabh, Saket (University of Bergen) | Villanger, Yngve (University of Bergen)
Many local search algorithms are based on searching in the k-exchange neighborhood. This is the set of solutions that can be obtained from the current solution by exchanging at most k elements. As a rule of thumb, the larger k is, the better are the chances of finding an improved solution. However, for inputs of size n, a naive brute-force search of the k-exchange neighborhood requires n (O(k)) time, which is not practical even for very small values of k. We show that for several classes of sparse graphs, like planar graphs, graphs of bounded vertex degree and graphs excluding some fixed graph as a minor, an improved solution in the k-exchange neighborhood for many problems can be found much more efficiently. Our algorithms run in time O(T(k)*n c ), where T is a function depending on k only and c is a constant independent of k. We demonstrate the applicability of this approach on different problems like r-Center, Vertex Cover, Odd Cycle Transversal, Max-Cut, and Min-Bisection. In particular, on planar graphs, all our algorithms searching for a k-local improvement run in time O(2 (O(k) ) * n (2) ), which is polynomial for k=O(log n). We also complement the algorithms with complexity results indicating that brute force search is unavoidable in more general classes of sparse graphs.
Axiomatic Characterization of Task Oriented Negotiation
Zhang, Dongmo (University of Western Sydney, Australia)
This paper presents an axiomatic analysis of negotiation problems within task-oriented domains (TOD). We start by applying three classical bargaining solutions of Nash, Kalai-Smorodinsky and Egalitarian to the domains of problems with a pre-process of randomization on possible agreements. We find out that these three solutions coincide within any TOD and can be characterized by the same set of axioms, which specify a solution of task oriented negotiation as an outcome of dual-process of maximizing cost reduction and minimizing workload imbalance. This axiomatic characterization is then used to produce an approximate solution to the domain of problems without randomization on possible agreements.
Where Are the Really Hard Manipulation Problems? The Phase Transition in Manipulating the Veto Rule
Voting is a simple mechanism to aggregate the preferences of agents. Many voting rules have been shown to be NP-hard to manipulate. However, a number of recent theoretical results suggest that this complexity may only be in the worst-case since manipulation is often easy in practice. In this paper, we show that empirical studies are useful in improving our understanding of this issue. We demonstrate that there is a smooth transition in the probability that a coalition can elect a desired candidate using the veto rule as the size of the manipulating coalition increases. We show that a rescaled probability curve displays a simple and universal form independent of the size of the problem. We argue that manipulation of the veto rule is asymptotically easy for many independent and identically distributed votes even when the coalition of manipulators is critical in size. Based on this argument, we identify a situation in which manipulation is computationally hard. This is when votes are highly correlated and the election is "hung." We show, however, that even a single uncorrelated voter is enough to make manipulation easy again.
Sentence Simplification Based Ontology Mapping
Lu, Lu (GuangDong University of Business Studies) | Parameswaran, Nandan (University of New South Wales)
Ontology mapping plays an important role in interoperability over ontologies. Many researchers have proposed algorithms and tools for (semi-)automatically mapping one concept to another concept. Among them, WordNet is widely used as the domain knowledge support in the mapping process. To our knowledge, however, most of them only use synonym, hypernym and hyponym relations in WordNet and the actual meanings provided in natural English(as gloss) are often ignored. In this paper, we treat the concepts(c) as English words (w) and propose an ontology mapping technique where we use the meanings of the words as given in Wordnet (in English) for semantic mapping by constructing their parse trees first and simplifying them for computing similarity measures. Our experimental results show that our method performs better in Recall and F1-Measure than many techniques reported in the literature.
Identifying User Destinations in VirtualWorlds
Shah, Fahad (University of Central Florida) | Bell, Philip (University of Central Florida) | Sukthankar, Gita (University of Central Florida)
This paper focuses on the identification of human activity patterns in SecondLife (SL), a user-constructed virtual environment.SecondLife allows the users to create a virtual avatar,explore areas constructed by other users, socialize, and conduct financial transactions just as one would in the real world.However unlike the real world, new attractions can be constructed within hours and previous ones often fall into disuse rapidly. Without current information about the state of regions in the virtual world, it is difficult to infer the purpose of the user’s actions from location information. In this paper,we present an approach for gathering data on users’ activities and building a map of SecondLife annotated with information about activities that the users were able to perform in each region. Using this map, a recommender agent built into the user’s heads-up display can present suggestions of other areas to visit based on data collected from previous users. We discuss the the use of five supervised classifiers and report classification results for the map construction portion of the agent.
Unit Testing for Qualitative Spatial and Temporal Reasoning
Schultz, Carl (The University of Auckland) | Amor, Robert (The University of Auckland) | Guesgen, Hans (Massey University)
Commonsense reasoning, in particular qualitative spatial and temporal reasoning (QSTR), provides flexible and intuitive methods for reasoning about vague and uncertain information including spatial orientation, topology and proximity. Despite a number of theoretical advances in QSTR, there are relatively few applications that employ these methods. The central problem is a significant lack of application level standards and validation methods for supporting developers in adapting and integrating QSTR with their domain specific qualitative spatial and temporal models. To address this we present a significantly novel methodology for QSTR application validation, inspired by research in software engineering. In this paper we focus on unit testing, and adapt the software engineering strategy of defining boundary cases. We present two critical boundary concepts, a methodology for isolating the units under testing from other parts of the model, and methods to assist the designer in integrating our critical boundary unit testing approach with a broader validation plan.
Beating the Defense: Using Plan Recognition to Inform Learning Agents
Molineaux, Matthew (Knexus Research Corporation) | Aha, David W. (Naval Research Laboratory) | Sukthankar, Gita (University of Central Florida)
In this paper, we investigate the hypothesis that plan recognition can significantly improve the performance of a case-based reinforcement learner in an adversarial action selection task. Our environment is a simplification of an American football game. The performance task is to control the behavior of a quarterback in a pass play, where the goal is to maximize yardage gained. Plan recognition focuses on predicting the play of the defensive team. We modeled plan recognition as an unsupervised learning task, and conducted a lesion study. We found that plan recognition was accurate, and that it significantly improved performance. More generally, our studies show that plan recognition reduced the dimensionality of the state space, which allowed learning to be conducted more effectively. We describe the algorithms, explain the reasons for performance improvement, and also describe a further empirical comparison that highlights the utility of plan recognition for this task.