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This is a major difference with methods such as principal component analysis, where correlations between all data points are taken into account at once. Given (,), we can then construct a reversible discrete-time Markov chain on (a process known as the normalized graph Laplacian construction):
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 ...
The matched Z-transform method, also called the pole–zero mapping [1] [2] or pole–zero matching method, [3] and abbreviated MPZ or MZT, [4] is a technique for converting a continuous-time filter design to a discrete-time filter (digital filter) design.
2005 DARPA Grand Challenge winner Stanley performed SLAM as part of its autonomous driving system. A map generated by a SLAM Robot. Simultaneous localization and mapping (SLAM) is the computational problem of constructing or updating a map of an unknown environment while simultaneously keeping track of an agent's location within it.
A contemporary example of using bilinear pairings is exemplified in the BLS digital signature scheme. [3] Pairing-based cryptography relies on hardness assumptions separate from e.g. the elliptic-curve cryptography, which is older and has been studied for a longer time.
The iterate 001001001... maps into 010010010..., which maps into 100100100..., which in turn maps into the original 001001001...; so this is a 3-cycle of the bit shift map. And the other three binary-expansion repeating sequences give the 3-cycle 110110110... → 101101101... → 011011011... → 110110110....
Contractive maps are sometimes called Lipschitzian maps. If the above condition is instead satisfied for k ≤ 1, then the mapping is said to be a non-expansive map . More generally, the idea of a contractive mapping can be defined for maps between metric spaces.
In hash-based cryptography, the Merkle signature scheme is a digital signature scheme based on Merkle trees (also called hash trees) and one-time signatures such as the Lamport signature scheme. It was developed by Ralph Merkle in the late 1970s [ 1 ] and is an alternative to traditional digital signatures such as the Digital Signature ...