Technology
Analysis of a Winning Computational Billiards Player
Archibald, Christopher (Stanford University) | Altman, Alon (Stanford University) | Shoham, Yoav (Stanford University)
We discuss CueCard, the program that won the 2008 Computer Olympiad computational pool tournament. Beside addressing intrinsic interest in a complex competitive environment with unique features, our goal is to isolate the factors that contributed to the performance so that the lessons can be transferred to other, similar domains. Specifically, we distinguish among pure engineering factors (such as using a computer cluster), domain-specific factors (such as optimized break shots), and domain-independent factors (such as state clustering). Our conclusion is that each type of factor contributed to the performance of the program.
Multiple Information Sources Cooperative Learning
Zhu, Xingquan (Florida Atlantic University) | Jin, Ruoming (Kent State University)
Many applications are facing the problem of learning from an objective dataset, whereas information from other auxiliary sources may be beneficial but cannot be integrated into the objective dataset for learning. In this paper, we propose an omni-view learning approach to enable learning from multiple data collections. The theme is to organize heterogeneous data sources into a unified table with global data view. To achieve the omni-view learning goal, we consider that the objective dataset and the auxiliary datasets share some instance-level dependency structures. We then propose a relational k-means to cluster instances in each auxiliary dataset, such that clusters can help build new features to capture correlations between the objective and auxiliary datasets. Experimental results demonstrate that omni-view learning can help build models which outperform the ones learned from the objective dataset only. Comparisons with the co-training algorithm further assert that omni-view learning provides an alternative, yet effective, way for semi-supervised learning.
Multi-Class Classifiers and Their Underlying Shared Structure
Vural, Volkan (Northeastern University) | Fung, Glenn (Siemens Medical Solutions, Inc) | Rosales, Romer (Siemens Medical Solutions, Inc) | Dy, Jennifer G. (Northeastern University)
Multi-class problems have a richer structure than binary classification problems. Thus, they can potentially improve their performance by exploiting the relationship among class labels. While for the purposes of providing an automated classification result this class structure does not need to be explicitly unveiled, for human level analysis or interpretation this is valuable. We develop a multi-class large margin classifier that extracts and takes advantage of class relationships. We provide a bi-convex formulation that explicitly learns a matrix that captures these class relationships and is de-coupled from the feature weights. Our representation can take advantage of the class structure to compress the model by reducing the number of classifiers employed, maintaining high accuracy even with large compression. In addition, we present an efficient formulation in terms of speed and memory.
Non-Metric Label Propagation
Zhang, Yin (Nanjing University) | Zhou, Zhi-Hua (Nanjing University)
In many applications non-metric distances are better than metric distances in reflecting the perceptual distances of human beings. Previous studies on non-metric distances mainly focused on supervised setting and did not consider the usefulness of unlabeled data. In this paper, we present probably the first study of label propagation on graphs induced from non-metric distances. The challenge here lies in the fact that the triangular inequality does not hold for non-metric distances and therefore, a direct application of existing label propagation methods will lead to inconsistency and conflict. We show that by applying spectrum transformation, non-metric distances can be converted into metric ones, and thus label propagation can be executed. Such methods, however, suffer from the change of original semantic relations. As a main result of this paper, we prove that any non-metric distance matrix can be decomposed into two metric distance matrices containing different information of the data. Based on this recognition, our proposed NMLP method derives two graphs from the original non-metric distance and performs a joint label propagation on the joint graph. Experiments validate the effectiveness of the proposed NMLP method.
Smart PCA
Zhang, Yi (Carnegie Mellon University)
PCA can be smarter and makes more sensible projections. In this paper, we propose smart PCA, an extension to standard PCA to regularize and incorporate external knowledge into model estimation. Based on the probabilistic interpretation of PCA, the inverse Wishart distribution can be used as the informative conjugate prior for the population covariance, and useful knowledge is carried by the prior hyperparameters. We design the hyperparameters to smoothly combine the information from both the domain knowledge and the data itself. The Bayesian point estimation of principal components is in closed form. In empirical studies, smart PCA shows clear improvement on three different criteria: image reconstruction errors, the perceptual quality of the reconstructed images, and the pattern recognition performance.
An Efficient Nonnegative Matrix Factorization Approach in Flexible Kernel Space
Zhang, Daoqiang (Nanjing University of Aeronautics and Astronautics) | Liu, Wanquan (Curtin University of Technology)
In this paper, we propose a general formulation for kernel nonnegative matrix factorization with flexible kernels. Specifically, we propose the Gaussian nonnegative matrix factorization (GNMF) algorithm by using the Gaussian kernel in the framework. Different from a recently developed polynomial NMF (PNMF), GNMF finds basis vectors in the kernel-induced feature space and the computational cost is independent of input dimensions. Furthermore, we prove the convergence and nonnegativity of decomposition of our method. Extensive experiments compared with PNMF and other NMF algorithms on several face databases, validate the effectiveness of the proposed method.
M 3 IC: Maximum Margin Multiple Instance Clustering
Zhang, Dan (Purdue University, West Lafayette) | Wang, Fei (Florida International University) | Si, Luo (Purdue University, West Lafayette) | Li, Tao (Florida International University)
Clustering, classification, and regression, are three major research topics in machine learning. So far, much work has been conducted in solving multiple instance classification and multiple instance regression problems, where supervised training patterns are given as bags and each bag consists of some instances. But the research on unsupervised multiple instance clustering is still limited . This paper formulates a novel Maximum Margin Multiple Instance Clustering problem for the multiple instance clustering task. To avoid solving a non-convex optimization problem directly, M 3 IC is further relaxed, which enables an efficient optimization solution with a combination of Constrained Concave-Convex Procedure CCCP) and the Cutting Plane method. Furthermore, this paper analyzes some important properties of the proposed method and the relationship between the proposed method and some other related ones. An extensive set of empirical results demonstrate the advantages of the proposed method against existing research for both effectiveness and efficiency.
Fast Active Tabu Search and its Application to Image Retrieval
Zhang, Chao (Tongji University) | Li, Hongyu (Tongji University) | Guo, Qiyong (Fudan University) | Jia, Jinyuan (Tongji University) | Shen, I-Fan (Fudan University)
This paper proposes a novel framework for image retrieval. The retrieval is treated as searching for an ordered cycle in an image database. The optimal cycle can be found by minimizing the geometric manifold entropy of images. The minimization is solved by the proposed method, fast active tabu search. Experimental results demonstrate the framework for image retrieval is feasible and quite promising.
Robust Distance Metric Learning with Auxiliary Knowledge
Zha, Zheng-Jun (University of Science and Technology of China) | Mei, Tao (Microsoft Research Asia) | Wang, Meng (Microsoft Research Asia) | Wang, Zengfu (University of Science and Technology of China) | Hua, Xian-Sheng (Microsoft Research Asia)
Most of the existing metric learning methods are accomplished by exploiting pairwise constraints over the labeled data and frequently suffer from the insufficiency of training examples. To learn a robust distance metric from few labeled examples, prior knowledge from unlabeled examples as well as the metrics previously derived from auxiliary data sets can be useful. In this paper, we propose to leverage such auxiliary knowledge to assist distance metric learning, which is formulated following the regularized loss minimization principle. Two algorithms are derived on the basis of manifold regularization and log-determinant divergence regularization technique, respectively, which can simultaneously exploit label information (i.e., the pairwise constraints over labeled data), unlabeled examples, and the metrics derived from auxiliary data sets. The proposed methods directly manipulate the auxiliary metrics and require no raw examples from the auxiliary data sets, which make them efficient and flexible. We conduct extensive evaluations to compare our approaches with a number of competing approaches on face recognition task. The experimental results show that our approaches can derive reliable distance metrics from limited training examples and thus are superior in terms of accuracy and labeling efforts.
Spatio-Temporal Event Detection Using Dynamic Conditional Random Fields
Yin, Jie (CSIRO ICT Centre) | Hu, Derek Hao (Hong Kong University of Science and Technology) | Yang, Qiang (Hong Kong University of Science and Technology)
Event detection is a critical task in sensor networks for a variety of real-world applications. Many real-world events often exhibit complex spatio-temporal patterns whereby they manifest themselves via observations over time and space proximities. These spatio-temporal events cannot be handled well by many of the previous approaches. In this paper, we propose a new Spatio-Temporal Event Detection (STED) algorithm in sensor networks based on a dynamic conditional random field (DCRF) model. Our STED method handles the uncertainty of sensor data explicitly and permits neighborhood interactions in both observations and event labels. Experiments on both real data and synthetic data demonstrate that our STED method can provide accurate event detection in near real time even for large-scale sensor networks.