Probabilistic model of two-dimensional rhythm tree structure representation for automatic transcription of polyphonic MIDI signals

2013 ◽  
Author(s):  
Masato Tsuchiya ◽  
Kazuki Ochiai ◽  
Hirokazu Kameoka ◽  
Shigeki Sagayama
Keyword(s):  
Probabilistic Model ◽  
Tree Structure ◽  
Two Dimensional ◽  
Structure Representation ◽  
Automatic Transcription

INFLUENCE OF THE INITIAL SOURCE OF EPIDEMIC AND PREVENTIVE VACCINATION ON THE SPREADING PHENOMENA IN A TWO-DIMENSIONAL LATTICE

2004 ◽  
Vol 15 (06) ◽  
pp. 755-765 ◽  
Author(s):  
R. A. KOSIŃSKI ◽  
Ł. ADAMOWSKI
Keyword(s):  
Long Range ◽  
Probabilistic Model ◽  
Small World ◽  
Two Dimensional ◽  
Small World Networks ◽  
Spreading Process ◽  
Dimensional Lattice ◽  
Epidemic Curve ◽  
Preventive Vaccination ◽  
Initial Source

The probabilistic model of epidemic in a two-dimensional lattice with an additional random, long range connections characteristic for the small world networks is presented. Relations describing the spreading process of epidemics, like epidemic curve or range of epidemic in time, were found. The influence of the borders of the lattice and the localization of the initial source of epidemic on the epidemic curve is found analytically. The application of the preventive vaccination in the population is discussed.

Space-Optimized Tree: A Connection+Enclosure Approach for the Visualization of Large Hierarchies

2003 ◽  
Vol 2 (1) ◽  
pp. 3-15 ◽  
Author(s):  
Quang Vinh Nguyen ◽  
Mao Lin Huang
Keyword(s):  
Hierarchical Structure ◽  
Dimensional Space ◽  
Tree Structure ◽  
Relational Data ◽  
Two Dimensional ◽  
Approach Space ◽  
Link Diagram ◽  
New Approach ◽  
Semantic Zooming ◽  
Tree Visualization

This paper describes a new approach, space-optimized tree, for the visualization and navigation of tree-structured relational data. This technique can be used especially for the display of very large hierarchies in a two-dimensional space. We discuss the advantages and limitations of current techniques of tree visualization. Our strategy is to optimize the drawing of trees in a geometrical plane and maximize the utilization of display space by allowing more nodes and links to be displayed at a limited screen resolution. Space-optimized tree is a connection+ enclosure visualization approach that recursively positions children of a subtree into polygon areas and still uses a node–link diagram to present the entire hierarchical structure. To be able to handle the navigation of large hierarchies, we use a new hybrid viewing technique that combines two viewing methods, the modified semantic zooming and a focus+ context technique. While the semantic zooming technique can enlarge a particular viewing area by filtering out the rest of tree structure from the visualization, the focus+context technique allows the user to interactively focus, view and browse the entire visual structure with a reasonable high-density display.

Minimal Query Algorithm of XML Document Based on Unconstrained Tree Pattern

2012 ◽  
Vol 430-432 ◽  
pp. 1677-1681
Author(s):  
Hua Bei Nie ◽  
Yi Wang
Keyword(s):  
Tree Structure ◽  
Two Dimensional ◽  
Structure Model ◽  
Document Structure ◽  
Tree Pattern ◽  
Xml Document ◽  
Query Tree ◽  
Query Algorithm ◽  
Query Patterns ◽  
Relational Table

XML document structure uses the tree structure to express the document structure model that is different from the traditional two-dimensional relational table structure and XML query patterns mainly for tree query. Tree pattern always divided into constrained type and unconstrained type. This paper based on unconstrained tree pattern query, provide a mini algorithm of unconstrained tree pattern query, and prove the correctness of algorithm theoretically.

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