In this paper, we describe, analyze and compare techniques for extracting spatial knowledge from a terrain model. Specifically, we investigate techniques for extracting a morphological representation from a terrain model based on an approximation of a Morse-Smale complex. A Morse-Smale complex defines a decomposition of a topographic surface into regions with vertices at the critical points and...

We present a new model called LATTICERNN, which generalizes recurrent neural networks (RNNs) to process weighted lattices as input, instead of sequences. A LATTICERNN can encode the complete structure of a lattice into a dense representation, which makes it suitable to a variety of problems, including rescoring, classifying, parsing, or translating lattices using deep neural networks (DNNs). In...

in this paper, our purpose is twofold. firstly, the tensor andresiduum operations on $l-$nested systems are introduced under thecondition of complete residuated lattice. then we show that$l-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. thus the new representation theorem of$l-$subsets on complete re...

We have reported the synthesis of superstructured nanonetworks of BiOCl and nested nanonetworks of Bi(2)S(3) in a series of lattice-directed topotactic transformations [C. F. Guo et al. J. Am. Chem. Soc. 2011, 138, 8211-8215]. Here we extend the transformations to a much broader system including ordered nanowall networks of BiOCl, BiOBr, Bi(2)O(2)CO(3), β-Bi(2)O(3), and Bi(2)S(3), as well as ne...

Pattern mining is an important data mining task. While the simplest setting, itemset mining, has been thoroughly studied real-world data is getting increasingly complex and network structured, e.g. in the context of social networks, economic networks, traffic networks, administrative networks, chemical interaction networks and biological regulatory networks. This presentation will first provide...