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Assumption-Based Planning: Generating Plans and Explanations under Incomplete Knowledge
Davis-Mendelow, Sammy (University of Toronto) | Baier, Jorge A. (Pontificia Universidad Catolica de Chile) | McIlraith, Sheila (University of Toronto)
Many practical planning problems necessitate the generation of a plan under incomplete information about the state of the world. In this paper we propose the notion of Assumption-Based Planning. Unlike conformant planning, which attempts to find a plan under all possible completions of the initial state, an assumption-based plan supports the assertion of additional assumptions about the state of the world, often resulting in high quality plans where no conformant plan exists. We are interested in this paradigm of planning for two reasons: 1) it captures a compelling form of \emph{commonsense planning}, and 2) it is of great utility in the generation of explanations, diagnoses, and counter-examples -- tasks which share a computational core with We formalize the notion of assumption-based planning, establishing a relationship between assumption-based and conformant planning, and prove properties of such plans. We further provide for the scenario where some assumptions are more preferred than others. Exploiting the correspondence with conformant planning, we propose a means of computing assumption-based plans via a translation to classical planning. Our translation is an extension of the popular approach proposed by Palacios and Geffner and realized in their T0 planner. We have implemented our planner, A0, as a variant of T0 and tested it on a number of expository domains drawn from the International Planning Competition. Our results illustrate the utility of this new planning paradigm.
Online Lazy Updates for Portfolio Selection with Transaction Costs
Das, Puja (University of Minnesota, Twin Cities) | Johnson, Nicholas (University of Minnesota, Twin Cities) | Banerjee, Arindam (University of Minnesota, Twin Cities)
A major challenge for stochastic optimization is the cost of updating model parameters especially when the number of parameters is large. Updating parameters frequently can prove to be computationally or monetarily expensive. In this paper, we introduce an efficient primal-dual based online algorithm that performs lazy updates to the parameter vector and show that its performance is competitive with reasonable strategies which have the benefit of hindsight. We demonstrate the effectiveness of our algorithm in the online portfolio selection domain where a trader has to pay proportional transaction costs every time his portfolio is updated. Our Online Lazy Updates (OLU) algorithm takes into account the transaction costs while computing an optimal portfolio which results in sparse updates to the portfolio vector. We successfully establish the robustness and scalability of our lazy portfolio selection algorithm with extensive theoretical and experimental results on two real-world datasets.
Timelines with Temporal Uncertainty
Cimatti, Alessandro (Fondazione Bruno Kessler, Trento, Italy) | Micheli, Andrea (Fondazione Bruno Kessler, Trento, Italy) | Roveri, Marco (Fondazione Bruno Kessler, Trento, Italy)
Timelines are a formalism to model planning domains where theย temporal aspects are predominant, and have been used in manyย real-world applications. Despite their practical success, a major limitation is the inabilityย to model temporal uncertainty, i.e. the plan executor cannot decideย the duration of some activities. In this paper we make two key contributions. First, we propose a comprehensive, semantically well founded framework thatย (conservatively) extends with temporal uncertainty the state of theย art timeline approach.ย Second, we focus on the problem of producing time-triggered plansย that are robust with respect to temporal uncertainty, under aย bounded horizon. In this setting, we present the first completeย algorithm, and we show how it can be made practical by leveragingย the power of Satisfiability Modulo Theories.
Dynamic Minimization of Sentential Decision Diagrams
Choi, Arthur (University of California, Los Angeles) | Darwiche, Adnan (University of California, Los Angeles)
The Sentential Decision Diagram (SDD) is a recently proposed representation of Boolean functions, containing Ordered Binary Decision Diagrams (OBDDs) as a distinguished subclass. While OBDDs are characterized by total variable orders, SDDs are characterized more generally by vtrees. As both OBDDs and SDDs have canonical representations, searching for OBDDs and SDDs of minimal size simplifies to searching for variable orders and vtrees, respectively. For OBDDs, there are effective heuristics for dynamic reordering, based on locally swapping variables. In this paper, we propose an analogous approach for SDDs which navigates the space of vtrees via two operations: one based on tree rotations and a second based on swapping children in a vtree. We propose a particular heuristic for dynamically searching the space of vtrees, showing that it can find SDDs that are an order-of-magnitude more succinct than OBDDs found by dynamic reordering.
From Interest to Function: Location Estimation in Social Media
Chen, Yan (Beihang University) | Zhao, Jichang (Beihang University) | Hu, Xia (Arizona State University) | Zhang, Xiaoming (Beihang University) | Li, Zhoujun (Beihang University) | Chua, Tat-Seng (National University of Singapore)
Recent years have witnessed the tremendous development of social media, which attracts a vast number of Internet users. The high-dimension content generated by these users provides an unique opportunity to understand their behavior deeply. As one of the most fundamental topics, location estimation attracts more and more research efforts. Different from the previous literature, we find that user's location is strongly related to user interest. Based on this, we first build a detection model to mine user interest from short text. We then establish the mapping between location function and user interest before presenting an efficient framework to predict the user's location with convincing fidelity. Thorough evaluations and comparisons on an authentic data set show that our proposed model significantly outperforms the state-of-the-arts approaches. Moreover, the high efficiency of our model also guarantees its applicability in real-world scenarios.
Goal-Oriented Euclidean Heuristics with Manifold Learning
Chen, Wenlin (Washington University in St. Louis) | Chen, Yixin (Washington University in St. Louis) | Weinberger, Kilian (Washington University in St. Louis) | Lu, Qiang (University of Science and Technology of China) | Chen, Xiaoping (University of Science and Technology of China)
Recently, a Euclidean heuristic (EH) has been proposed for A* search. EH exploits manifold learning methods to construct an embedding of the state space graph, and derives an admissible heuristic distance between two states from the Euclidean distance between their respective embedded points. EH has shown good performance and memory efficiency in comparison to other existing heuristics such as differential heuristics. However, its potential has not been fully explored. In this paper, we propose a number of techniques that can significantly improve the quality of EH. We propose a goal-oriented manifold learning scheme that optimizes the Euclidean distance to goals in the embedding while maintaining admissibility and consistency. We also propose a state heuristic enhancement technique to reduce the gap between heuristic and true distances. The enhanced heuristic is admissible but no longer consistent. We then employ a modified search algorithm, known as B' algorithm, that achieves optimality with inconsistent heuristics using consistency check and propagation. We demonstrate the effectiveness of the above techniques and report un-matched reduction in search costs across several non-trivial benchmark search problems.
Uncorrelated Lasso
Chen, Si-Bao (Anhui University) | Ding, Chris (University of Texas at Arlington) | Luo, Bin (Anhui University) | Xie, Ying (Anhui University)
In this paper, motivated by the previous sparse learning In many regression applications, there are too many unrelated based research, we propose to add variable correlation into predictors which may hide the relationship between the sparse-learning-based variable selection approach. We response and the most related predictors. A common way to note that in previous Lasso-type variable selection, variable resolve this problem is variable selection, that is to select a correlations are not taken into account, while in most subset of the most representative or discriminative predictors real-life data, predictors are often correlated. Strongly correlated from the input predictor set. The central requirement is that predictors share similar properties, and have some good predictor set contains predictors that are highly correlated overlapped information.
Instructor Rating Markets
Chakraborty, Mithun (Virginia Tech) | Das, Sanmay (Virginia Tech) | Lavoie, Allen (Virginia Tech) | Magdon-Ismail, Malik (Rensselaer Polytechnic Institute) | Naamad, Yonatan (Princeton University)
We describe the design of Instructor Rating Markets (IRMs) where human participants interact through intelligent automated market-makers in order to provide dynamic collective feedback to instructors on the progress of their classes. The markets are among the first to enable the empirical study of prediction markets where traders can affect the very outcomes they are trading on. More than 200 students across the Rensselaer campus participated in markets for ten classes in the Fall 2010 semester. In this paper, we describe how we designed these markets in order to elicit useful information, and analyze data from the deployment. We show that market prices convey useful information on future instructor ratings and contain significantly more information than do past ratings. The bulk of useful information contained in the price of a particular class is provided by students who are in that class, showing that the markets are serving to disseminate insider information. At the same time, we find little evidence of attempted manipulation by raters. The markets are also a laboratory for comparing different market designs and the resulting price dynamics, and we show how they can be used to compare market making algorithms.
A Kernel Density Estimate-Based Approach to Component Goodness Modeling
Cardoso, Nuno (University of Porto /ย HASLab - INESC Tec) | Abreu, Rui (University of Portoย /ย HASLab - INESC Tec)
Intermittent fault localization approaches account for the fact that faulty components may fail intermittently by considering a parameter (known as goodness) that quantifies the probability that faulty components may still exhibit correct behavior. Current, state-of-the-art approaches (1) assume that this goodness probability is context independent and (2) do not provide means for integrating past diagnosis experience in the diagnostic mechanism. In this paper, we present a novel approach, coined Non-linear Feedback-based Goodness Estimate (NFGE), that uses kernel density estimations (KDE) to address such limitations. We evaluated the approach with both synthetic and real data, yielding lower estimation errors, thus increasing the diagnosis performance.
Improving WalkSAT for Random k-Satisfiability Problem with k > 3
Cai, Shaowei (Griffith University) | Su, Kaile (Griffith University) | Luo, Chuan (Peking University)
Stochastic local search (SLS) algorithms are well known for their ability to efficiently find models of random instances of the Boolean satisfiablity (SAT) problem. One of the most famous SLS algorithms for SAT is WalkSAT, which is an initial algorithm that has wide influence among modern SLS algorithms. Recently, there has been increasing interest in WalkSAT, due to the discovery of its great power on large random 3-SAT instances. However, the performance of WalkSAT on random $k$-SAT instances with $k>3$ lags far behind. Indeed, there have been few works in improving SLS algorithms for such instances. This work takes a large step towards this direction. We propose a novel concept namely $multilevel$ $make$. Based on this concept, we design a scoring function called $linear$ $make$, which is utilized to break ties in WalkSAT, leading to a new algorithm called WalkSAT$lm$. Our experimental results on random 5-SAT and 7-SAT instances show that WalkSAT$lm$ improves WalkSAT by orders of magnitudes. Moreover, WalkSAT$lm$ significantly outperforms state-of-the-art SLS solvers on random 5-SAT instances, while competes well on random 7-SAT ones. Additionally, WalkSAT$lm$ performs very well on random instances from SAT Challenge 2012, indicating its robustness.