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  1. Extrapolation is used in many scientific fields, like in chemistry and engineering where extrapolation is often necessary.[1]
  2. For the journal of speculative fiction, see Extrapolation (journal) .[2]
  3. It is similar to interpolation, which produces estimates between known observations, but extrapolation is subject to greater uncertainty and a higher risk of producing meaningless results.[2]
  4. Extrapolation may also mean extension of a method, assuming similar methods will be applicable.[2]
  5. A sound choice of which extrapolation method to apply relies on a prior knowledge of the process that created the existing data points.[2]
  6. In Statistics, Extrapolation is a process of estimating the value beyond the distinct range of the given variable based on its relationship with another variable.[3]
  7. Here, we will discuss in detail about definition, formula and examples of extrapolation.[3]
  8. Extrapolation is defined as an estimation of a value based on extending the known series or factors beyond the area that is certainly known.[3]
  9. Extrapolation is a statistical method beamed at understanding the unknown data from the known data.[3]
  10. Extrapolation is an estimation of a value based on extending a known sequence of values or facts beyond the area that is certainly known.[4]
  11. Extrapolation is the process of taking data values at points x 1 , ..., x n , and approximating a value outside the range of the given points.[5]
  12. Using extrapolation with a linear function and a quadratic function to estimate the value of x = 1.5.[5]
  13. In fact, it can be shown that any extrapolation using an interpolating linear function has no statistical significance.[5]
  14. The extrapolation method described in this section is based on a similar procedure to that used in Romberg integration, introduced in Chapter 4.[6]
  15. Once these initial approximations have been obtained, we can use (5.60), the extrapolation formula, to obtain improved approximations.[6]
  16. Extrapolation comes from the word extra, meaning “outside,” and a shortened form of the word interpolation.[7]
  17. So an extrapolation is an insertion outside any existing points.[7]
  18. If you know something about Monday and Tuesday, you might be able to make an extrapolation about Wednesday.[7]
  19. The process in which you estimate the value of given data beyond its range is called an extrapolation method.[8]
  20. In other words, the extrapolation method means the process that is used to estimate a value if the current situation continues for a longer period.[8]
  21. In this section, we shall discuss what extrapolation means, the definition, extrapolation formula, and have a better understanding of the extrapolation method with the help of a few example problems.[8]
  22. Extrapolation Method is a process in which you estimate value by understanding the known factors beyond a particular area.[8]
  23. In ecological studies, it is not always obvious when and where extrapolation occurs because of the multivariate nature of the data.[9]
  24. In this paper, we extend previous work that identified extrapolation by applying the predictive variance from the univariate setting to the multivariate case.[9]
  25. In addition, we outline novel exploratory approaches for identifying regions of covariate space where extrapolation is more likely to occur using classification and regression trees.[9]
  26. Identifying and characterizing extrapolation in multivariate response data.[9]
  27. Extrapolation, on the other hand, is when the model is able to obtain higher-dimensional insights from a lower-dimensional training.[10]
  28. It’s important to realize that extrapolation is hard.[10]
  29. In terms of machine learning, one example of extrapolation can be thought of as being trained on a certain range of data and being able to predict on a different range of data.[10]
  30. Sometimes, however, extrapolation is not as much about recognizing complex relationships as it is finding a smart, extrapolate-able solution to carrying out the task on foreign ranges.[10]
  31. Specifying Your Input Data Method Specify the interpolation/extrapolation method.[11]
  32. Extrapolation is the process of finding a value outside a data set.[12]
  33. Let's try a basic extrapolation by finding values in a numerical sequence.[12]
  34. When using extrapolation, we look for the relationship between the given values.[12]
  35. Now, by using extrapolation we can predict the fifth term in each sequence.[12]
  36. Extrapolation and interpolation are both used to estimate hypothetical values for a variable based on other observations.[13]
  37. There are a variety of interpolation and extrapolation methods based on the overall trend that is observed in the data.[13]
  38. When we use extrapolation, we are making the assumption that our observed trend continues for values of x outside the range we used to form our model.[13]
  39. This may not be the case, and so we must be very careful when using extrapolation techniques.[13]
  40. However, empirical models can only be used for interpolation and not extrapolation .[14]
  41. Observational extrapolation (OISST, HadlSST, ERSST v4) Ch.[14]
  42. Extrapolation was founded in 1959 by Thomas D. Clareson and was the first journal to publish academic work on science fiction and fantasy.[15]
  43. Extrapolation promotes innovative work which considers the place of speculative texts in contemporary culture.[15]
  44. Learning Equations for Extrapolation and Control.[16]
  45. A description of the cultural practices for the production of the major crop and the approved or registered uses of the pesticide on the major crop from which extrapolation is proposed.[17]
  46. The attained extrapolation spans are greater than two times the given domain length.[18]
  47. The purpose of this study was to provide a generic numerical solution for the extrapolation problem.[18]
  48. It was attained for extended extrapolation horizons of even greater than 200% the given domain length if the set of data are derived from an unknown analytic function and their precision is high.[18]
  49. The extrapolation problem, that is, to predict the values which take the function outside the given domain , can be transformed into the computation of ordinary derivatives of , , at point .[18]
  50. Any extrapolation sequence can be specified in the implementation.[19]
  51. One test is performed during the extrapolation process.[19]
  52. This example involves an eighth-order extrapolation of "ExplicitEuler" with the harmonic sequence.[19]
  53. The results for the increment formulation ( 49 ) with extrapolation carried out on the increments using ( 50 ) are depicted in red.[19]

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  • [{'LEMMA': 'extrapolation'}]