# Incremental spectral clustering by efficiently updating the eigensystem dating job corps

Motivated by the broad variety of applications concerned, ranging from the study of biological networks to the analysis of networks of scientific references through the exploration of communications networks such as the World Wide Web, it is the main purpose of this paper to introduce a novel, computationally efficient, approach to graph clustering in the evolutionary context. The incremental eigenvalue solution is a general technique for finding the approximate eigenvectors of a symmetric matrix given a change.Namely, the method promoted in this article can be viewed as an incremental eigenvalue solution for the spectral clustering method described by Ng. As well as outlining the approach in detail, we present a theoretical bound on the quality of the approximate eigenvectors using perturbation theory. Conditional Random Fields: Probabilistic Models for Segmenting and Labeling Sequence Data.In this paper, we propose a novel graph-based hashing method which automatically discovers the neighborhood structure inherent in the data to learn appropriate compact codes.[download] [bib Te X] [discuss] Many real-world applications involve multi-label classification, in which the labels are organized in the form of a tree or directed acyclic graph (DAG).However, current research efforts typically ignore the label dependencies or can only exploit the dependencies in tree-structured hierarchies.We then derive a novel spectral clustering algorithm called Incremental Approximate Spectral Clustering (IASC).The IASC algorithm is simple to implement and its efficacy is demonstrated on both synthetic and real datasets modelling the evolution of a HIV epidemic, a citation network and the purchase history graph of an e-commerce website.

The proposed method consistently outperforms the state-of-the-art method on both tree- and DAG-structured hierarchies.

Abhimanyu Das and David Kempe: Submodular meets Spectral: Greedy Algorithms for Subset Selection, Sparse Approximation and Dictionary Selection Miguel Lazaro-Gredilla and Michalis Titsias: Variational Heteroscedastic Gaussian Process Regression Jascha Sohl-Dickstein, Peter Battaglino, and Michael De Weese: Minimum Probability Flow Learning Lauren Hannah and David Dunson: Approximate Dynamic Programming for Storage Problems Sean Gerrish and David Blei: Predicting Legislative Roll Calls from Text Richard Socher, Cliff Chiung-Yu Lin, Andrew Ng, and Chris Manning: Parsing Natural Scenes and Natural Language with Recursive Neural Networks This award is given to papers that time and hindsight proved to be of lasting value to the Machine Learning community. However, learning short codes that yield good search performance is still a challenge.

This year, we are recognizing the seminal paper of CRFs. Moreover, in many cases real-world data lives on a low-dimensional manifold, which should be taken into account to capture meaningful nearest neighbors.

Moreover, it can also help in data understanding and interpretation.

OSCAR is a recent sparse modeling tool that achieves this by using a $\ell_1$-regularizer and a pairwise $\ell_\infty$-regularizer.

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