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  2. Fractional difference of 2 is the 2nd derivative or 2nd difference. note: applying fractional differencing changes the units of the problem. If we started with Prices then take fractional differences, we no longer are in Price units. determining the order of differencing to make a time series stationary may be an iterative, exploratory process.

  3. Dynamic time warping - Wikipedia

    en.wikipedia.org/wiki/Dynamic_time_warping

    While there are differences in walking speed between repetitions, the spatial paths of limbs remain highly similar. [1] DTW between a sinusoid and a noisy and shifted version of it. In time series analysis , dynamic time warping ( DTW ) is an algorithm for measuring similarity between two temporal sequences, which may vary in speed.

  4. First-order inductive learner - Wikipedia

    en.wikipedia.org/wiki/First-order_inductive_learner

    The addition of non-operational rules to the knowledge base increases the size of the space which FOCL must search. Rather than simply providing the algorithm with a target concept (e.g. grandfather(X,Y)), the algorithm takes as input a set of non-operational rules which it tests for correctness and operationalizes for its learned concept. A ...

  5. Simplified perturbations models - Wikipedia

    en.wikipedia.org/wiki/Simplified_perturbations...

    Source code for algorithm implementations, and TLE interpretation in some cases: python-sgp4 A Python Implementation of the sgp4 model with automatic downloading of TLE Elements from NORAD database. PHP5 based on Gpredict; Java: SDP4 and predict4java; C++, FORTRAN, Pascal, and MATLAB. go-satellite GoLang implementation of SGP4 model and helper ...

  6. Autoregressive integrated moving average - Wikipedia

    en.wikipedia.org/wiki/Autoregressive_integrated...

    To difference the data, we compute the difference between consecutive observations. Mathematically, this is shown as ′ = It may be necessary to difference the data a second time to obtain a stationary time series, which is referred to as second-order differencing:

  7. Computational complexity - Wikipedia

    en.wikipedia.org/wiki/Computational_complexity

    The study of the complexity of explicitly given algorithms is called analysis of algorithms, while the study of the complexity of problems is called computational complexity theory. Both areas are highly related, as the complexity of an algorithm is always an upper bound on the complexity of the problem solved by this algorithm. Moreover, for ...

  8. Algorithm - Wikipedia

    en.wikipedia.org/wiki/Algorithm

    Flowchart of using successive subtractions to find the greatest common divisor of number r and s. In mathematics and computer science, an algorithm (/ ˈ æ l ɡ ə r ɪ ð əm / ⓘ) is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. [1]

  9. MUSIC (algorithm) - Wikipedia

    en.wikipedia.org/wiki/MUSIC_(algorithm)

    The resulting algorithm was called MUSIC (MUltiple SIgnal Classification) and has been widely studied. In a detailed evaluation based on thousands of simulations, the Massachusetts Institute of Technology's Lincoln Laboratory concluded in 1998 that, among currently accepted high-resolution algorithms, MUSIC was the most promising and a leading ...