Education
Collective Biobjective Optimization Algorithm for Parallel Test Paper Generation
Nguyen, Minh Luan (Institute for Infocomm Research) | Hui, Siu Cheung (Nanyang Technological University) | Fong, Alvis C. M. (University of Glasgow)
Parallel Test Paper Generation ( k -TPG) is a biobjective distributed resource allocation problem, which aims to generate multiple similarly optimal test papers automatically according to multiple user-specified criteria.Generating high-quality parallel test papers is challenging due to its NP-hardness in maximizing the collective objective functions.In this paper, we propose a Collective Biobjective Optimization (CBO) algorithm for solving k -TPG. CBO is a multi-step greedy-based approximation algorithm, which exploits the submodular property for biobjective optimization of k -TPG.Experiment results have shown that CBO has drastically outperformed the current techniques in terms of paper quality and runtime efficiency.
Efficient Algorithms with Performance Guarantees for the Stochastic Multiple-Choice Knapsack Problem
Tran-Thanh, Long (University of Southampton) | Xia, Yingce (University of Science and Technology of China) | Qin, Tao (Microsoft Research) | Jennings, Nicholas R (University of Southampton)
We study the stochastic multiple-choice knapsack problem, where a set of Kitems, whose value and weight are random variables, arrive to the system at each time step, and a decision maker has to choose at most one item to put into the knapsack without exceeding its capacity. The goal is the decision-maker is to maximise the total expected value of chosen items with respect to the knapsack capacity and a finite time horizon.We provide the first comprehensive theoretical analysis of the problem. In particular, we propose OPT-S-MCKP, the first algorithm that achieves optimality when the value-weight distributions are known. This algorithm also enjoys O(sqrt{T}) performance loss, where T is the finite time horizon, in the unknown value-weight distributions scenario.We also further develop two novel approximation methods, FR-S-MCKP and G-S-MCKP, and we prove that FR-S-MCKP achieves O(sqrt{T}) performance loss in both known and unknown value-weight distributions cases, while enjoying polynomial computational complexity per time step.On the other hand, G-S-MCKP does not have theoretical guarantees, but it still provides good performance in practice with linear running time.
Personalized Mathematical Word Problem Generation
Polozov, Oleksandr (University of Washington) | O' (University of Washington) | Rourke, Eleanor (University of Washington) | Smith, Adam M. (University of Washington) | Zettlemoyer, Luke (Microsoft Research Redmond) | Gulwani, Sumit (University of Washington) | Popoviฤ, Zoran
Word problems are an established technique for teaching mathematical modeling skills in K-12 education. However, many students find word problems unconnected to their lives, artificial, and uninteresting. Most students find them much more difficult than the corresponding symbolic representations. To account for this phenomenon, an ideal pedagogy might involve an individually crafted progression of unique word problems that form a personalized plot. We propose a novel technique for automatic generation of personalized word problems. In our system, word problems are generated from general specifications using answer-set programming (ASP). The specifications include tutor requirements (properties of a mathematical model), and student requirements (personalization, characters, setting). Our system takes a logical encoding of the specification, synthesizes a word problem narrative and its mathematical model as a labeled logical plot graph, and realizes the problem in natural language. Human judges found our problems as solvable as the textbook problems, with a slightly more artificial language.
Exchange of Indivisible Objects with Asymmetry
Sun, Zhaohong (Kyushu University) | Hata, Hideaki (Nara Institute of Science and Technology) | Todo, Taiki (Kyushu University) | Yokoo, Makoto (Kyushu University)
In this paper we study the exchange of indivisible objects where agentsโ possible preferences over the objects are strict and share a common structure among all of them, which represents a certain level of asymmetry among objects. A typical example of such an exchange model is a re-scheduling of tasks over several processors, since all task owners are naturally assumed to prefer that their tasks are assigned to fast processors rather than slow ones. We focus on designing exchange rules (a.k.a.mechanisms) that simultaneously satisfy strategyproofness, individual rationality, and Pareto efficiency. We first provide a general impossibility result for agentsโ preferences that are determined in an additive manner, and then show an existence of such an exchange rule for further restricted lexicographic preferences. We finally find that for the restricted case, a previously known equivalence between the single-valuedness of the strict core and the existence of such an exchange rule does not carry over.
The Power of Local Manipulation Strategies in Assignment Mechanisms
Mennle, Timo (University of Zurich) | Weiss, Michael (University of Zurich) | Philipp, Basil (University of Zurich) | Seuken, Sven (University of Zurich)
We consider three important, non-strategyproof assignment mechanisms: Probabilistic Serial and two variants of the Boston mechanism. Under each of these mechanisms, we study the agentโs manipulation problem of determining a best response, i.e., a report that maximizes the agentโs expected utility. In particular, we consider local manipulation strategies, which are simple heuristics based on local, greedy search. We make three main contributions. First, we present results from a behavioral experiment (conducted on Amazon Mechanical Turk) which demonstrate that human manipulation strategies can largely be explained by local manipulation strategies. Second, we prove that local manipulation strategies may fail to solve the manipulation problem optimally. Third, we show via large-scale simulations that despite this non-optimality, these strategies are very effective on average. Our results demonstrate that while the manipulation problem may be hard in general, even cognitively or computationally bounded (human) agents can find near-optimal solutions almost all the time via simple local search strategies.
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 (Linkรถping Universit...
Awards and Distinguished Papers
Yang, Qiang (Hong Kong University of Science and Technology)
Professor Higgins Professor of Natural Sciences at the School of Engineering and Natural Selman is recognized for expanding our understanding of problem Sciences, Harvard University. Professor Grosz is recognized for her pioneering complexity and developing new algorithms for efficient inference. Previous recipients have been Bernard outstanding young scientists in artificial intelligence. It is currently supported by income Grosz (2001), Alan Bundy (2003), Raj Reddy (2005), Ronald J. Brachman from IJCAI funds. Past recipients of this honor have been Terry (2007), Luigia Carlucci Aiello (2009), Raymond C. Perrault (2011), and Winograd (1971), Patrick Winston (1973), Chuck Rieger (1975), Douglas Wolfgang Wahlster (2013).
Joint estimation of quantile planes over arbitrary predictor spaces
In spite of the recent surge of interest in quantile regression, joint estimation of linear quantile planes remains a great challenge in statistics and econometrics. We propose a novel parametrization that characterizes any collection of non-crossing quantile planes over arbitrarily shaped convex predictor domains in any dimension by means of unconstrained scalar, vector and function valued parameters. Statistical models based on this parametrization inherit a fast computation of the likelihood function, enabling penalized likelihood or Bayesian approaches to model fitting. We introduce a complete Bayesian methodology by using Gaussian process prior distributions on the function valued parameters and develop a robust and efficient Markov chain Monte Carlo parameter estimation. The resulting method is shown to offer posterior consistency under mild tail and regularity conditions. We present several illustrative examples where the new method is compared against existing approaches and is found to offer better accuracy, coverage and model fit.
Dependent Indian Buffet Process-based Sparse Nonparametric Nonnegative Matrix Factorization
Xuan, Junyu, Lu, Jie, Zhang, Guangquan, Da Xu, Richard Yi, Luo, Xiangfeng
Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices appropriate for the intended applications. The method has been widely used for unsupervised learning tasks, including recommender systems (rating matrix of users by items) and document clustering (weighting matrix of papers by keywords). However, traditional NMF methods typically assume the number of latent factors (i.e., dimensionality of the loading matrices) to be fixed. This assumption makes them inflexible for many applications. In this paper, we propose a nonparametric NMF framework to mitigate this issue by using dependent Indian Buffet Processes (dIBP). In a nutshell, we apply a correlation function for the generation of two stick weights associated with each pair of columns of loading matrices, while still maintaining their respective marginal distribution specified by IBP. As a consequence, the generation of two loading matrices will be column-wise (indirectly) correlated. Under this same framework, two classes of correlation function are proposed (1) using Bivariate beta distribution and (2) using Copula function. Both methods allow us to adopt our work for various applications by flexibly choosing an appropriate parameter settings. Compared with the other state-of-the art approaches in this area, such as using Gaussian Process (GP)-based dIBP, our work is seen to be much more flexible in terms of allowing the two corresponding binary matrix columns to have greater variations in their non-zero entries. Our experiments on the real-world and synthetic datasets show that three proposed models perform well on the document clustering task comparing standard NMF without predefining the dimension for the factor matrices, and the Bivariate beta distribution-based and Copula-based models have better flexibility than the GP-based model.