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- {{DISPLAYTITLE:''k''-means++}} In [[data mining]], '''''k''-means++'''<ref>{{Cite conference ...11 KB (1,566 words) - 03:37, 21 December 2024
- ...cal means denoising example.png|thumb|right|400px|Application of non-local means to an image corrupted by [[Gaussian noise]]]] ...group of pixels surrounding a target pixel to smooth the image, non-local means filtering takes a mean of all pixels in the image, weighted by how similar ...7 KB (1,111 words) - 03:52, 24 January 2025
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- ...302635</ref> Neuman and others utilized this mean to study other bivariate means and inequalities.<ref>E. Neuman, Inequalities for weighted sums of powers a ...<ref>E. Neuman, Sharp inequalities involving Neuman–Sándor and logarithmic means, ''J. Math. Inequal.'' 7 (2013), No. 3, 413–419</ref> ...3 KB (512 words) - 10:37, 11 September 2020
- ...[geometric mean]], and [[harmonic mean]] can all be interpreted as Fréchet means for different distance functions. The '''Karcher means''' are then those points, ''m'' of ''M'', which [[local minimum|minimise]] ...4 KB (734 words) - 17:49, 27 May 2024
- ...62-44414-6 }}</ref> A typical algorithm is balanced [[K-means clustering|k-means]], which minimizes [[Mean squared error|mean square error (MSE)]]. Another ...k-means<ref>{{Cite web |last=M. I. Malinen and P. Fränti |title=Balanced k-Means implementation |url=https://cs.uef.fi/sipu/soft/Balanced.zip |publisher=Uni ...2 KB (351 words) - 16:21, 30 December 2024
- ...umbers is greater than or equal to the sum of their two separate geometric means: By the [[inequality of arithmetic and geometric means]], we have: ...1 KB (208 words) - 05:09, 16 October 2022
- ...not apply to the size of the output). The computation is generally done by means of a [[log-space transducer]]. ...r log-space computable functions is in [[log-space reduction]]s. This is a means of transforming an instance of one problem into an instance of another prob ...1 KB (156 words) - 12:33, 20 July 2022
- If the arithmetic means in Cauchy's limit theorem are replaced by [[weighted arithmetic mean]]s tho ...esàro means converge as well, the converse is not true. That is the Cesàro means may converge while the original sequence does not. Applying the latter fact ...4 KB (713 words) - 05:40, 20 August 2024
- ...ced by [[Alan Weinstein]], according to whom "Quantization problems<ref>He means [[geometric quantization]].</ref> suggest that the category of symplectic m ...1 KB (179 words) - 07:30, 6 April 2023
- ...52}} of a refinement of <math>X</math> in the class <math>\Gamma</math> by means of the class <math>\Phi</math> consists of two steps. ...the object <math>X</math> in the class of morphisms <math>\Gamma</math> by means of the class of morphisms <math>\Phi</math>'', if <math>\sigma\in\Gamma</ma ...5 KB (829 words) - 07:39, 29 January 2023
- ...[[Banach space]] (or [[Fréchet space]]), ''strong measurability'' usually means [[Bochner measurability]]. ...inear operators]] from ''X'' to ''Y'', then often ''strong measurability'' means that the operator ''f(x)'' is Bochner measurable for each fixed ''x'' in th ...1 KB (201 words) - 06:41, 13 May 2024
- ...rtial functions <math>f</math> and <math>g</math>, <math>f \simeq g</math> means that for every <math>x</math>:{{sfn|Cutland|1980|p=3}} where the down arrow means that the term on the left side of it is defined. ...2 KB (277 words) - 05:39, 7 December 2024
- ...a [[symmetric matrix]]) is a [[diagonalizable matrix|diagonalization]] by means of an [[orthogonal matrix|orthogonal]] change of coordinates.<ref name="Poo ...uadratic form]] ''q''(''x'') on <math>\mathbb{R}</math><sup>''n''</sup> by means of an orthogonal change of coordinates ''X'' = ''PY''.<ref>[[Seym ...2 KB (291 words) - 22:03, 13 July 2024
- {{DISPLAYTITLE:''k''-means++}} In [[data mining]], '''''k''-means++'''<ref>{{Cite conference ...11 KB (1,566 words) - 03:37, 21 December 2024
- ..."It's obligatory that..." and the alethic operator <math> \Diamond </math> means "It's possible that...". However, in practical situations, obligations are ...equivalent]] to the formula <math> \Box \neg A \to \neg OA </math>, which means "'''impossible implies omissible'''".{{Citation needed|date=December 2023}} ...3 KB (414 words) - 07:03, 2 January 2024
- ...; and the [[contraposition#Examples|converse]] holds if A and B have equal means. ...th> for all values of <math>x_A</math>. Here <math> \overset{d}{=}</math> means "[[Random_variable#Equality_in_distribution|is equal in distribution to]]" ...5 KB (767 words) - 04:59, 21 May 2022
- [[Profit maximization]] means that the derivative of <math>\pi</math> with respect to Q is set equal to 0 ...n faces a perfectly elastic demand; hence it has <math>\eta=0</math> which means that it sets the quantity such that marginal cost equals the price. ...3 KB (501 words) - 08:21, 23 March 2021
- ...approach. ''k''-SVD is a generalization of the [[k-means clustering|''k''-means clustering]] method, and it works by iteratively alternating between sparse ...generalization of ''k''-means, as follows. The [[k-means clustering|''k''-means clustering]] can be also regarded as a method of [[sparse representation]] ...7 KB (1,135 words) - 00:27, 28 May 2024
- ...several proofs that GM ≤ AM, see [[Inequality of arithmetic and geometric means]]. *[[Pythagorean means#Inequalities among means|Inequalities among pythagorean means]] ...5 KB (735 words) - 15:17, 26 September 2024
- where "+" means the Quillen's [[+ construction]].<ref>Dominique Arlettaz, Algebraic ''K''-t ...674 bytes (98 words) - 02:40, 26 August 2020
- ...th>G</math> and <math>H</math> defined over <math>\overline K</math> (this means that <math>H</math> is a ''<math>K</math>-form'' of <math>G</math>) and in ...logy]] <math>H^1(\mathrm{Gal}(\overline K/K), \mathrm{Aut}(G))</math> this means that <math>H</math> is associated to an element of the subset <math>H^1(\ma ...2 KB (407 words) - 07:55, 9 November 2023
- ...{f}(k)</math> for <math>k \in \mathbb{Z}^n</math>. Then the Bochner–Riesz means of complex order <math>\delta</math>, <math>B_R^\delta f</math> of (where < .../math> with Fourier transform <math>\hat{f}(\xi)</math>, the Bochner–Riesz means of complex order <math>\delta</math>, <math>S_R^\delta f</math> (where <mat ...5 KB (804 words) - 22:41, 8 February 2025