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In time series analysis, dynamic time warping (DTW) is an algorithm for measuring similarity between two temporal sequences, which may vary in speed. For instance, similarities in walking could be detected using DTW, even if one person was walking faster than the other, or if there were accelerations and decelerations during the course of an ...
In comparison to other distance measures, (e.g. DTW (dynamic time warping) or LCS (longest common subsequence problem)), TWED is a metric. Its computational time complexity is O ( n 2 ) {\displaystyle O(n^{2})} , but can be drastically reduced in some specific situations by using a corridor to reduce the search space.
As each GTW subgraph is dual to a DTW graph, the maximum flow within each GTW subgraph can be solved in linear time through dynamic programming. In many applications, a rough approximate solution of the warping paths can be estimated, which could serve as the initialization to accelerate the solving process.
18 languages. العربية ... Pages in category "Dynamic programming" The following 48 pages are in this category, out of 48 total. ... Graphical time warping; H.
In terms of mathematical optimization, dynamic programming usually refers to simplifying a decision by breaking it down into a sequence of decision steps over time. This is done by defining a sequence of value functions V 1 , V 2 , ..., V n taking y as an argument representing the state of the system at times i from 1 to n .
Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over a continuum. In its most general form, under an FDA framework, each sample element of functional data is considered to be a random function.
The Held–Karp algorithm, also called the Bellman–Held–Karp algorithm, is a dynamic programming algorithm proposed in 1962 independently by Bellman [1] and by Held and Karp [2] to solve the traveling salesman problem (TSP), in which the input is a distance matrix between a set of cities, and the goal is to find a minimum-length tour that visits each city exactly once before returning to ...
A better dynamic programming algorithm with quadratic running time for the same problem (no gap penalty) was introduced later [5] by David Sankoff in 1972. Similar quadratic-time algorithms were discovered independently by T. K. Vintsyuk [ 6 ] in 1968 for speech processing ( "time warping" ), and by Robert A. Wagner and Michael J. Fischer [ 7 ...