hyperplane
noun
hy·per·plane
ˈhī-pər-ˌplān 
: a figure in hyperspace corresponding to a plane in ordinary space
Examples of hyperplane in a Sentence
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The fact is that rather than an either-or result, the SVM returns a distance from the hyperplane for each brain.
—
Neuroskeptic, Discover Magazine, 16 Aug. 2010
Crucially, the algorithm can use this trick to find the coefficients of the hyperplane, without ever actually stepping into the high-dimensional space.
—Quanta Magazine, 11 Oct. 2021
Many problems can be solved by drawing a single separating line or hyperplane, and therefore by networks like ours.
—Quanta Magazine, 3 Nov. 2017
Nightrider described a linear-programming procedure that can yield the optimal such separating hyperplane in the general case).
—Quanta Magazine, 3 Nov. 2017
And in 10-dimensional space, a perpendicular bisector is whatever splits 10-dimensional space in half (a nine-dimensional hyperplane).
—Quanta Magazine, 22 May 2019
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Neuroskeptic, Discover Magazine, 16 Aug. 2010
Crucially, the algorithm can use this trick to find the coefficients of the hyperplane, without ever actually stepping into the high-dimensional space.
—Quanta Magazine, 11 Oct. 2021
Many problems can be solved by drawing a single separating line or hyperplane, and therefore by networks like ours.
—Quanta Magazine, 3 Nov. 2017
Nightrider described a linear-programming procedure that can yield the optimal such separating hyperplane in the general case).
—Quanta Magazine, 3 Nov. 2017
And in 10-dimensional space, a perpendicular bisector is whatever splits 10-dimensional space in half (a nine-dimensional hyperplane).
—Quanta Magazine, 22 May 2019
Dictionary Entries Near hyperplane
Cite this Entry
“Hyperplane.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/hyperplane. Accessed 23 Dec. 2024.
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