en.wikipedia.org website review
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en.wikipedia.org is 52% geoptimaliseerd!
SEO Keyword summary for en.wikipedia.org/wiki/point-set_registration
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
Focus keyword
Short and long tail
Short Tail Keywords displaystyle point mathbf |
long Tail Keywords (2 words) point set mathcal m mdisplaystyle mathcal mathbb r least squares |
long Tail Keywords (3 words) mdisplaystyle mathcal m sdisplaystyle mathcal s point set registration textso3tin mathbb r displaystyle mathbf mu robust point matching l0rin textso3tin mathbb |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/point-set_registration page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
Page title
Title length
pointset registration wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
Number of Words
Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
wikipedia free encyclopedia displaystyle lbrace mathcal mmathcal srbrace mathbb tmathcal tstar operatorname dist cdot arg min tin ttextdisttmathcal ssum mvert msmvert quad smarg sin svert smvert smleftrightarrow mleftrightarrow mileftrightarrow sii dots misiin silrmitepsilon rin textso textsod epsilon iin sigma isim lstar rstar sum nfrac leftvert silrmitrightvert lrt sileftrightarrow sibegincaseslrmitepsilon itextif itextth pair inlieroitextif outlierendcases max ivert textsubject frac vert silrmitvert leq forall nrho leftfrac ileftvert right rho ell lmu star rmu tmu nmin bar xminx langle mihat sjrangle mathbf ijbegincases textif point mitext corresponds textotherwiseendcases tmmathbf mmathbf atheta bcrbrace cost nsum mmu ijlvert sjmathbf mirvert gmathbf alpha textstyle jsum ijleq isum nmu ijmu ijin rbrace bcgamma gamma qjrbrace qjin jmu jqj beta hat jfrac exp qhat jexp emu ijqij qijlvert partial qijfrac expbeta qij rbeta xixj kcxixjint kxxicdot kxxjdx chi kcmathcal xsum ineq jkcxixj ijkcxixj theta smathcal mtheta msum skcstmtheta scup skctmathcal kctmathcal pmathcal mxtheta mkxtmtheta sxfrac skxs int xpmathcal mcdot sdx mpmathcal pssum pipsi psi miin psifrac lvert smirvert pifrac win pswfrac wsum mfrac mpsi etheta nlog pisjfrac pipsjipsj ptextoldisj ptextoldisjlogptextnewiptextnewsji ptextoldisjlvert sjtmitheta rvert nmathbf log mptextoldisjleq nnmathbf ptextold ptextoldisjfrac textold textoldrvert rightsum mexp sjtmktheta wfrac mtimes ntimes dnmsum mlvert sjmirvert pijfrac amathbf tmathbf sfrac afrac toperatorname diag doperatorname aoperatorname omn leftalpha mtmathbf leftlambda left kappa mrightright mrightrightalpha wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/point-set_registration
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/point-set_registration
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
Conversion form
Search form
Analytics
Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
point found in path !
registration found in path !
set found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
Sitemap found?
Navigation and internal links
Navigation
Url seperator
Human readable urls
Number of links
Link SEO Impact
statistics
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en.m.wikipedia.org |
en.wikipedia.org wikimedia foundation inc
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w httpsenwikipediaorgwindexphptitlepointsetregistrationoldid1191702399
page information
printable version
fast gauss transform
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wiki computer vision
pattern recognition
robotics
transformation
scaling
rotation
translation
point clouds
estimate its pose
lidar
rgbd cameras
triangulation
bundle adjustment
deep learning
image registration
feature extraction
corner detection
autonomous driving
motion estimation and 3d reconstruction
object detection and pose estimation
robotic manipulation
simultaneous localization and mapping
panorama stitching
virtual and augmented reality
medical imaging
wahba problem
orthogonal procrustes problem
euclidean distance
vector 2norm
corresponding point
least squares
feature matching
rigid transformation
affine transformations
shear mapping
eigenmodes of variation
thin plate spline
graph matching
pcl point cloud library
special orthogonal group
gaussian noise
maximum likelihood estimate
nonconvexity
berthold kp horn
semidefinite program
lagrangian duality
globally optimal
outliers
maximum consensus
cardinality
residuals
nphard
branchandbound
random sample consensus ransac
graph
clique
maximum clique
mestimation
huber loss
truncated least squares loss
local optimization
weighted least squares
iterative closest point
the closest point
pseudocode
cost function
expectation maximization
levenbergmarquardt algorithm
deterministic annealing
affine transformation
softmax function
doubly stochastic matrix
newtons method
slack variables
kernel function
kernel function
parzen window
gaussian kernel
epanechnikov kernel
information entropy
kernel density estimates
gradient descent
lookup table
gaussian mixture model
posterior probability
probability density function
gaussian distribution
loglikelihood function
independent and identically distributed
bayes theorem
identity matrix
singular value decomposition
diagonal matrix
trace
calculus of variations
linear time
time complexity
degrees of freedom
point feature matching
pointset triangulation
normal distributions transform
isbn
s2cid
citeseerx
arxiv
issn
bibcode
pmid
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Links to external pages
Outloing links
www.wikidata.org
commons.wikimedia.org
www.github.com
www.github.com
www.doi.org
api.semanticscholar.org
www.cv-foundation.org
www.doi.org
api.semanticscholar.org
www.arxiv.org
www.doi.org
api.semanticscholar.org
www.doi.org
www.worldcat.org
api.semanticscholar.org
www.arxiv.org
ui.adsabs.harvard.edu
www.doi.org
www.worldcat.org
api.semanticscholar.org
www.arxiv.org
ui.adsabs.harvard.edu
www.doi.org
api.semanticscholar.org
openaccess.thecvf.com
ui.adsabs.harvard.edu
citeseerx.ist.psu.edu
www.doi.org
api.semanticscholar.org
www.doi.org
www.worldcat.org
pubmed.ncbi.nlm.nih.gov
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
citeseerx.ist.psu.edu
www.doi.org
www.arxiv.org
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
citeseerx.ist.psu.edu
www.doi.org
www.researchgate.net
api.semanticscholar.org
ui.adsabs.harvard.edu
www.doi.org
www.worldcat.org
api.semanticscholar.org
www.doi.org
www.worldcat.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
www.doi.org
hdl.handle.net
api.semanticscholar.org
www.arxiv.org
www.arxiv.org
www.arxiv.org
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
www.doi.org
www.worldcat.org
www.doi.org
api.semanticscholar.org
openaccess.thecvf.com
ui.adsabs.harvard.edu
www.doi.org
www.doi.org
hdl.handle.net
www.worldcat.org
api.semanticscholar.org
www.doi.org
api.semanticscholar.org
www.arxiv.org
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
www.arxiv.org
www.arxiv.org
www.doi.org
www.doi.org
api.semanticscholar.org
www.doi.org
api.semanticscholar.org
ieeexplore.ieee.org
www.doi.org
www.doi.org
api.semanticscholar.org
mitpress.mit.edu
www.arxiv.org
www.doi.org
www.worldcat.org
api.semanticscholar.org
www.researchgate.net
ui.adsabs.harvard.edu
www.doi.org
citeseerx.ist.psu.edu
www.doi.org
www.doi.org
www.doi.org
www.doi.org
papers.nips.cc
www.doi.org
pubmed.ncbi.nlm.nih.gov
www.doi.org
pubmed.ncbi.nlm.nih.gov
ieeexplore.ieee.org
www.doi.org
api.semanticscholar.org
ieeexplore.ieee.org
infoscience.epfl.ch
api.semanticscholar.org
www.ros.hw.ac.uk
www.cise.ufl.edu
www.github.com
www.github.com
foundation.wikimedia.org
foundation.wikimedia.org
foundation.wikimedia.org
www.wikimediafoundation.org
SEO Advice for en.wikipedia.org
In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
Item | Factor | Pointers | |
---|---|---|---|
PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 43% | A title should reflect the contents of a site. This site has a 33 % match | |
Title Length | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 35 characters long | |
Meta Description | 0% | A meta description is the second element that shows in the search results so always use the meta description. | |
Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
Meta description relevance | 0% | Meta Description should reflect the contents of a site. This site has a 0 % match | |
Number of internal links | 30% | Linking to internal pages makes pages easier to find for search engines. Try to keep the number of links on your page roughly below 100. There are 296 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 6 folders above or in the first level of navigation. | |
Headings | 21% | Headers should reflect the contents of a site. This site has a 9 % match | |
Links | 12% | Link anchors should to some degree reflect the contents of a site. This site has a 6 % match | |
Image alt tags | 17% | Image alt tags should to some degree reflect the contents of a site. This site has a 6 % match | |
Bold and italic | 36% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 12 % match | |
Html ratio | 30% | Try to keep the html / text ratio as low as possible. More html means longer loading times. Layout should be handled in a serpate css file | |
Image descriptions | 96% | 96.014492753623 % of all images have been described via the "alt" attribute. Describing images with relevant text may lead to better results in the search engines. | |
Page errors | 100% | Pages with no errors display significantly faster on most browsers. We detected 0 errors and warnings | |
WordCount | 20% | An ideal page contains between 400 and 600 words.This page contains 9646 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 70.95% faster then average | |
Gzip compression | 30% | This site does not use Gzip compression. Pages may not display as fast as they could | |
Keywords in Domainname | 30% | There are no important keywords in your domain name | |
Keywords in domain path | 100% | There are important keywords in the domain path | |
Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 1014 inline style declarations ( <a style="color:green">) with a size of 35916 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
Flash | 100% | Perfect, we detected no flash objects on your page | |
Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 40% | We dit not font a normalized heading structure. A heading 2 (h2) for example should be followed by a heading of an equal level (h2), a child heading (h3) or even a aprent heading (h1). |
How would you like to have SEO advice for all your pages ?? Start your SEO Dashboard and optimize your website!
en.wikipedia.org images and descriptions
190 images found at en.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://upload.wikimedia.org/wikipedia/commons/thumb/0/00/registration_outdoor.png/220px-registration_outdoor.png height: 129 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3989633622d59e05ce5c4309cac4d33a50424ba2 height: height attribute not set width: width attribute not set description: {\displaystyle t^{\star }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/596b9dba9db5f3b0ad8cd1963be72166a61844b7 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {dist} (\cdot ,\cdot )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1a240e951ec5920a92a5151da7aa212aafc594d5 height: height attribute not set width: width attribute not set description: {\displaystyle t^{\star }=\arg \min _{t\in {\mathcal {t}}}{\text{dist}}(t({\mathcal {m}}),{\mathcal {s}})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/201815d8b44c6aefbd72945d092fcec59dc940e8 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {dist} (t({\mathcal {m}}),{\mathcal {s}})=\sum _{m\in t({\mathcal {m}})}\vert m-s_{m}\vert _{2}^{2},\quad s_{m}=\arg \min _{s\in {\mathcal {s}}}\vert s-m\vert _{2}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/aa54416b37fda172d21b60b8ab43b493e9319455 height: height attribute not set width: width attribute not set description: {\displaystyle s_{i}=lrm_{i}+t+\epsilon _{i},i=1,\dots ,n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d0476eebc4457e538f82c70dd52b519075ae2754 height: height attribute not set width: width attribute not set description: {\displaystyle l>0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9be3140164b763359077d92b2cd33798eb6a488c height: height attribute not set width: width attribute not set description: {\displaystyle \epsilon _{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6ab3208a7d0c634ef720e03ff5a9949e8310edc4 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/57bd786c2e73ea2d307cba064b55b6ea2be5b44f height: height attribute not set width: width attribute not set description: {\displaystyle \epsilon _{i}\sim {\mathcal {n}}(0,\sigma _{i}^{2}i_{3})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/38c9a021d5d9cf23f5453ada8675575253243554 height: height attribute not set width: width attribute not set description: {\displaystyle 95\%} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/beac70bb684faefcd192ddeb67fb850ddf379972 height: height attribute not set width: width attribute not set description: {\displaystyle \max _{l>0,r\in {\text{so}}(3),t\in \mathbb {r} ^{3},{\mathcal {i}}}\vert {\mathcal {i}}\vert ,\quad {\text{subject to }}{\frac {1}{\sigma _{i}^{2}}}\vert s_{i}-lrm_{i}-t\vert _{2}^{2}\leq \xi ,\forall i\in {\mathcal {i}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e06f9f0e45c5ac32be08c1e380b29f85f06c09a5 height: height attribute not set width: width attribute not set description: {\displaystyle \vert {\mathcal {i}}\vert } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0e9730a0ada0426927ff64141eb9f505eca132d4 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {i}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e0b461aaf61091abd5d2c808931c48b8ff9647db height: height attribute not set width: width attribute not set description: {\displaystyle \xi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2e00b1fd20efc5af3f0a1b597f9bfd5323bb3a86 height: height attribute not set width: width attribute not set description: {\displaystyle \vert s_{i}-lrm_{i}-t\vert _{2}^{2}/\sigma _{i}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/21af75c495d846b26a303c0d86b135d0488591d0 height: height attribute not set width: width attribute not set description: {\displaystyle 50\%} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9d4f4c91dfbcaa8641e040f5f5771dc9b2fac245 height: height attribute not set width: width attribute not set description: {\displaystyle l^{\star },r^{\star },t^{\star }=\arg \min _{l>0,r\in {\text{so}}(3),t\in \mathbb {r} ^{3}}\sum _{i=1}^{n}\rho \left({\frac {1}{\sigma _{i}}}\left\vert s_{i}-lrm_{i}-t\right\vert _{2}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eebaff72613b0801efbe28c006f01f785415430e height: height attribute not set width: width attribute not set description: {\displaystyle \rho (\cdot )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4e0df9fc8a361404c1d7be77ea8b97e8fd2a5787 height: height attribute not set width: width attribute not set description: {\displaystyle \rho (x)=x^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/361ddd720474aa41cb05453e03424fb7999d3b02 height: height attribute not set width: width attribute not set description: {\displaystyle \ell _{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eb18099e6e0355de639dc0cb833f5be52a5962e6 height: height attribute not set width: width attribute not set description: {\displaystyle \rho _{\mu }(\cdot )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161 height: height attribute not set width: width attribute not set description: {\displaystyle \mu } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/008d96da2071bbd585440d3fe017b6fc562887fd height: height attribute not set width: width attribute not set description: {\displaystyle l_{\mu }^{\star },r_{\mu }^{\star },t_{\mu }^{\star }=\arg \min _{l>0,r\in {\text{so}}(3),t\in \mathbb {r} ^{3}}\sum _{i=1}^{n}\rho _{\mu }\left({\frac {1}{\sigma _{i}}}\left\vert s_{i}-lrm_{i}-t\right\vert _{2}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e1157809dd293a561e03d75d14f017c6697d6c1a height: height attribute not set width: width attribute not set description: {\displaystyle 80\%} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ca1f497e55a0b3bdd272941d5b9cc5a3bbd2097 height: height attribute not set width: width attribute not set description: {\displaystyle l^{\star },r^{\star },t^{\star }=\arg \min _{l>0,r\in {\text{so}}(3),t\in \mathbb {r} ^{3}}\sum _{i=1}^{n}\min \left({\frac {1}{\sigma _{i}^{2}}}\left\vert s_{i}-lrm_{i}-t\right\vert _{2}^{2},{\bar {c}}^{2}\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/99f264b77c679bfd424d29e4ec93c1eff169282a height: height attribute not set width: width attribute not set description: {\displaystyle \rho (x)=\min(x^{2},{\bar {c}}^{2})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5db843047cf5984accba1b378d2f5e8163eedc64 height: height attribute not set width: width attribute not set description: {\displaystyle {\bar {c}}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f14b1fb5e2e4415ab61d8689472f9a903d298c12 height: height attribute not set width: width attribute not set description: {\displaystyle \vert s_{i}-lrm_{i}-t\vert _{2}^{2}/\sigma _{i}^{2}<{\bar {c}}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e1d970b5394de0d1264c0c3f139357d7cdb77102 height: height attribute not set width: width attribute not set description: {\displaystyle \vert s_{i}-lrm_{i}-t\vert _{2}^{2}/\sigma _{i}^{2}>{\bar {c}}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ae56409666a51ff2cfceedc41f825bd2dfd84dd5 height: height attribute not set width: width attribute not set description: {\displaystyle 99\%} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ee811e9bc6059a62b0545835f37f699aa05674b7 height: height attribute not set width: width attribute not set description: {\displaystyle \langle m_{i},{\hat {s}}_{j}\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20 height: height attribute not set width: width attribute not set description: {\displaystyle i} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c6a350c64508aef872d4e72ee677746ef7a20f72 height: height attribute not set width: width attribute not set description: {\displaystyle s_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2f461e54f5c093e92a55547b9764291390f0b5d0 height: height attribute not set width: width attribute not set description: {\displaystyle j} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e407f1e8e83fffbed7e61f4112b7eef6b22b9e67 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\mu } } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/05d0b7507bd5202296175666ba7c11adba9d1802 height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{ij}={\begin{cases}1&{\text{if point }}m_{i}{\text{ corresponds to point }}s_{j}\\0&{\text{otherwise}}\end{cases}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9bc6a57a81465b7a22e0e6f08470b111d96e3306 height: height attribute not set width: width attribute not set description: {\displaystyle t(m)=\mathbf {a} m+\mathbf {t} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0795cc96c75d81520a120482662b90f024c9a1a1 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {a} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f8eafffa516ae0198f8652fa2249b386326f3237 height: height attribute not set width: width attribute not set description: {\displaystyle \lbrace a,\theta ,b,c\rbrace } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2912b45455e5e568d4b7917016245ab30cdcb3ef height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cost} =\sum _{j=1}^{n}\sum _{i=1}^{m}\mu _{ij}\lvert s_{j}-\mathbf {t} -\mathbf {a} m_{i}\rvert ^{2}+g(\mathbf {a} )-\alpha \sum _{j=1}^{n}\sum _{i=1}^{m}\mu _{ij}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/85f39bba87685bc12c2e9bf37eb8239610427ff9 height: height attribute not set width: width attribute not set description: {\textstyle \forall j~\sum _{i=1}^{m}\mu _{ij}\leq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2e6a34158dab482a0ecf81ea529ec8b3713952eb height: height attribute not set width: width attribute not set description: {\textstyle \forall i~\sum _{j=1}^{n}\mu _{ij}\leq 1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9a99a2a304192fc6ce2c602023a34144f2563dcc height: height attribute not set width: width attribute not set description: {\textstyle \forall ij~\mu _{ij}\in \lbrace 0,1\rbrace } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0c354b0d1c5a41217a3e15cc66083fcb7fb09cd6 height: height attribute not set width: width attribute not set description: {\displaystyle g(\mathbf {a} )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/691be2fb9e69dbbffe21c7ca7a49160c2a745527 height: height attribute not set width: width attribute not set description: {\displaystyle g(\mathbf {a} (a,\theta ,b,c))=\gamma (a^{2}+b^{2}+c^{2})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a height: height attribute not set width: width attribute not set description: {\displaystyle \gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/35bb5192ed7d291e904f19dee2d9236fe51b5293 height: height attribute not set width: width attribute not set description: {\displaystyle \lbrace q_{j}\rbrace } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/802aa2950217a1b4cbd2dbf76b536d3923fa4709 height: height attribute not set width: width attribute not set description: {\displaystyle q_{j}\in \mathbb {r} ^{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4b2800dcde32ff75ad8aecdf9c4c4e2d7fad58db height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5db0ad37e47589c5a9f270ca9c06affdacd6c66f height: height attribute not set width: width attribute not set description: {\displaystyle q_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b73be867e86f74de717a29464651654cad07f8bb height: height attribute not set width: width attribute not set description: {\textstyle \sum _{j=1}^{j}\mu _{j}=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8133f1a5058f8123d49988959466413f4dc04394 height: height attribute not set width: width attribute not set description: {\textstyle \sum _{j=1}^{j}\mu _{j}q_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4a87dc52878418173659e6d0ff8e77ab2897eac9 height: height attribute not set width: width attribute not set description: {\displaystyle \beta >0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ed48a5e36207156fb792fa79d29925d2f7901e8 height: height attribute not set width: width attribute not set description: {\displaystyle \beta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8f37bf2f5e51f71e3d4bcb9cd7089dc16ce76b30 height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{\hat {j}}={\frac {\exp {(\beta q_{\hat {j}})}}{\sum _{j=1}^{j}\exp {(\beta q_{j})}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/51d68b237803e3d73af277d2d51f7d9e708939af height: height attribute not set width: width attribute not set description: {\displaystyle e(\mu )=\sum _{j=1}^{n}\sum _{i=0}^{m}\mu _{ij}q_{ij}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/349308e587b85b292866336d54fc830bf9479418 height: height attribute not set width: width attribute not set description: {\displaystyle q_{ij}=-(\lvert s_{j}-\mathbf {t} -\mathbf {a} m_{i}\rvert ^{2}-\alpha )=-{\frac {\partial \operatorname {cost} }{\partial \mu _{ij}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d1b3199276bb6fd5a189cb6a5fdbe5f4bd6490b3 height: height attribute not set width: width attribute not set description: {\textstyle \forall j~\sum _{i=1}^{m}\mu _{ij}=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e07704abe1296c11262f24c5acf6fd424fccf84c height: height attribute not set width: width attribute not set description: {\textstyle \forall i~\sum _{j=1}^{n}\mu _{ij}=1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a3274d9795d894cf4f995a61b88ee34e40a6dc7b height: height attribute not set width: width attribute not set description: {\displaystyle ({\mathcal {m}},{\mathcal {s}})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c599955905e0c32a51ec3332183cce7697d70a55 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\mu }}_{ij}:=1+\epsilon } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/11b78e9a28bc8d36a268e4fdecf16447cfabb6b1 height: height attribute not set width: width attribute not set description: {\displaystyle q_{ij}:=-{\frac {\partial \operatorname {cost} }{\partial \mu _{ij}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/32283d63f8e261ac2b0dd05f94bb84e3b7eb7e8f height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{ij}^{0}:=\exp(\beta q_{ij})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bd4ffaa21cda12fe3da1cfb384b7b22094fefb5c height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\mu }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dee595afb4ec7ccbc556099c7deb357870511b6b height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\mu }}_{ij}^{1}:={\frac {{\hat {\mu }}_{ij}^{0}}{\sum _{i=1}^{m+1}{\hat {\mu }}_{ij}^{0}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ebe09ca4b592e3242d6dc496e95b6e07d570743a height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\mu }}_{ij}^{0}:={\frac {{\hat {\mu }}_{ij}^{1}}{\sum _{j=1}^{n+1}{\hat {\mu }}_{ij}^{1}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4bf5e0c715071478da81bc5db0cefb6645cd78fe height: height attribute not set width: width attribute not set description: {\displaystyle \beta :=\beta _{r}\beta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2a219e4a9568b1c02dfc84a6a2c43e0974801ea9 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma :={\frac {\gamma }{\beta _{r}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/40b42f71f244103a8fca3c76885c7580a92831c8 height: height attribute not set width: width attribute not set description: {\displaystyle \beta _{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/77b1a896de1d384e97fc90d01614eb230059d58c height: height attribute not set width: width attribute not set description: {\displaystyle \beta _{r}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1d4000652538ec46765d605398ac983b322aafec height: height attribute not set width: width attribute not set description: {\displaystyle \beta _{f}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/03c0b0dc5ee6ec29023977ea04ad152977fcba18 height: height attribute not set width: width attribute not set description: {\displaystyle m+1} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fdf2b9cbfe9051fd4e7b50c8028866d497eac35b height: height attribute not set width: width attribute not set description: {\displaystyle n+1} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/f/f7/tps_rpm_example.gif/220px-tps_rpm_example.gif height: 122 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2b76fce82a62ed5461908f0dc8f037de4e3686b0 height: height attribute not set width: width attribute not set description: {\displaystyle k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f99fa1367fd99c87ae226c8a70f1d0af4bbb8621 height: height attribute not set width: width attribute not set description: {\displaystyle kc} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1cd4d8ff7cb1b6282ffbee7cdfebd612cf5fb146 height: height attribute not set width: width attribute not set description: {\displaystyle x_{i},x_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c5f8e031dffacd806d782b4055959e07e6d2f577 height: height attribute not set width: width attribute not set description: {\displaystyle kc(x_{i},x_{j})=\int k(x,x_{i})\cdot k(x,x_{j})dx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/75dcc267cfc4d97096e4808fb93ef940aeebcdf3 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {\chi }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/241b683493d3e4ab070e08eda3a0b14c4898df39 height: height attribute not set width: width attribute not set description: {\displaystyle kc({\mathcal {x}})=\sum _{i\neq j}kc(x_{i},x_{j})=2\sum _{i |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af height: height attribute not set width: width attribute not set description: {\displaystyle \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3f050178d15aef42046dfdcdbdcbb6a36f3c07dc height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cost} ({\mathcal {s}},{\mathcal {m}},\theta )=-\sum _{m\in {\mathcal {m}}}\sum _{s\in {\mathcal {s}}}kc(s,t(m,\theta ))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/912308637f61bf49d46a98178b6fb0514079fca1 height: height attribute not set width: width attribute not set description: {\displaystyle kc({\mathcal {s}}\cup t({\mathcal {m}},\theta ))=kc({\mathcal {s}})+kc(t({\mathcal {m}},\theta ))-2\operatorname {cost} ({\mathcal {s}},{\mathcal {m}},\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cfc59cfec53c1fee6f14fea13e9f861e4728ba9c height: height attribute not set width: width attribute not set description: {\displaystyle kc({\mathcal {s}})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a780ec5427dab3996d1b610eab6330d5bcc5b492 height: height attribute not set width: width attribute not set description: {\displaystyle kc(t({\mathcal {m}},\theta ))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/586d1ba51af8c8924f6f1703b957f30089049154 height: height attribute not set width: width attribute not set description: {\displaystyle kc({\mathcal {s}}\cup t({\mathcal {m}},\theta ))=c-2\operatorname {cost} ({\mathcal {s}},{\mathcal {m}},\theta )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8caf355125bc062cedd23b856983ca4dada662bc height: height attribute not set width: width attribute not set description: {\displaystyle p_{\mathcal {m}}(x,\theta )={\frac {1}{m}}\sum _{m\in {\mathcal {m}}}k(x,t(m,\theta ))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4369a73d542ecfdc8371a4260fa5d781513b20a6 height: height attribute not set width: width attribute not set description: {\displaystyle p_{\mathcal {s}}(x)={\frac {1}{n}}\sum _{s\in {\mathcal {s}}}k(x,s)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3a49c95679d8b3b05c43bb8c7f5e28a3289c0332 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cost} ({\mathcal {s}},{\mathcal {m}},\theta )=-n^{2}\int _{x}p_{\mathcal {m}}\cdot p_{\mathcal {s}}~dx} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c0b0be463ef41d8f925196cb9c860c3a79e20c3d height: height attribute not set width: width attribute not set description: {\displaystyle p_{\mathcal {m}},p_{\mathcal {s}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/a/a2/cpd_fish_rigid.gif/220px-cpd_fish_rigid.gif height: 165 width: 220 description: no alt description found |
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https://upload.wikimedia.org/wikipedia/commons/thumb/b/b2/cpd_fish_nonrigid.gif/220px-cpd_fish_nonrigid.gif height: 165 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ad0c57ecae6da46281c9705c4f9a29b117a5ff96 height: height attribute not set width: width attribute not set description: {\displaystyle p(s)=\sum _{i=1}^{m+1}p(i)p(s|i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a05d52874a44c24682af2033a0b087b9e44965bb height: height attribute not set width: width attribute not set description: {\displaystyle p(s|i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/67fcbb6d23f216b2ea200356d25c6f63fef64986 height: height attribute not set width: width attribute not set description: {\displaystyle m_{i}\in {\mathcal {m}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b2ce5e8e820db4d2334de74d76097e7c9b4f148 height: height attribute not set width: width attribute not set description: {\displaystyle p(s|i)={\frac {1}{(2\pi \sigma ^{2})^{d/2}}}\exp {\left(-{\frac {\lvert s-m_{i}\rvert ^{2}}{2\sigma ^{2}}}\right)}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fc475aae2f223267347f5172bd18357ab1fa6ad6 height: height attribute not set width: width attribute not set description: {\displaystyle p(i)={\frac {1}{m}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0acf63ae6e8341671a616ff0b763b44d94bd6669 height: height attribute not set width: width attribute not set description: {\displaystyle w\in [0,1]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/07360514320e398ad02e2e370d54170dbadf8160 height: height attribute not set width: width attribute not set description: {\displaystyle p(s)=w{\frac {1}{n}}+(1-w)\sum _{i=1}^{m}{\frac {1}{m}}p(s|i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fdab642e6cc2b442b3ce97f3158833ba3c9eea20 height: height attribute not set width: width attribute not set description: {\displaystyle e(\theta ,\sigma ^{2})=-\sum _{j=1}^{n}\log \sum _{i=1}^{m+1}p(i)p(s|i)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a95568cfab85593c575c27913ed20cdec30c52f3 height: height attribute not set width: width attribute not set description: {\displaystyle p(i|s_{j})={\frac {p(i)p(s_{j}|i)}{p(s_{j})}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/53a5c55e536acf250c1d3e0f754be5692b843ef5 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d9176319eee884e68081d0b79d24a75d52f234c6 height: height attribute not set width: width attribute not set description: {\displaystyle p^{\text{old}}(i,s_{j})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/03d66823f9cbc69659604d28508813486a8fc5a4 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cost} =-\sum _{j=1}^{n}\sum _{i=1}^{m+1}p^{\text{old}}(i|s_{j})\log(p^{\text{new}}(i)p^{\text{new}}(s_{j}|i))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/452265bc25e8e423b0456042ba78d9d10f59fd54 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {cost} (\theta ,\sigma ^{2})={\frac {1}{2\sigma ^{2}}}\sum _{j=1}^{n}\sum _{i=1}^{m+1}p^{\text{old}}(i|s_{j})\lvert s_{j}-t(m_{i},\theta )\rvert ^{2}+{\frac {n_{\mathbf {p} }d}{2}}\log {\sigma ^{2}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/25d9332d5dfe0fab510bf2be9e29a76d023c495f height: height attribute not set width: width attribute not set description: {\displaystyle n_{\mathbf {p} }=\sum _{j=0}^{n}\sum _{i=0}^{m}p^{\text{old}}(i|s_{j})\leq n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fe5943053ca52292539d1d3d674ecc987e929db0 height: height attribute not set width: width attribute not set description: {\displaystyle n=n_{\mathbf {p} }} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9bb71c9fa0018f0752a2384a7ab9f1c2b628771e height: height attribute not set width: width attribute not set description: {\displaystyle w=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/392f796cce0ff0cee5f1fce5df1e1f16fa4ae93b height: height attribute not set width: width attribute not set description: {\displaystyle p^{\text{old}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9f1b0bf6b4a138b2e4b44af7c9e9de1b5d9bc8fb height: height attribute not set width: width attribute not set description: {\displaystyle p^{\text{old}}(i|s_{j})={\frac {\exp \left(-{\frac {1}{2\sigma ^{{\text{old}}2}}}\lvert s_{j}-t(m_{i},\theta ^{\text{old}})\rvert ^{2}\right)}{\sum _{k=1}^{m}\exp \left(-{\frac {1}{2\sigma ^{{\text{old}}2}}}\lvert s_{j}-t(m_{k},\theta ^{\text{old}})\rvert ^{2}\right)+(2\pi \sigma ^{2})^{\frac {d}{2}}{\frac {w}{1-w}}{\frac {m}{n}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/17febfc98577f7237628332e925fb6cba01c440f height: height attribute not set width: width attribute not set description: {\displaystyle m\times d} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4254cdd7c93ba43f49d572991155a07e0f2012ba height: height attribute not set width: width attribute not set description: {\displaystyle n\times d} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e499ae5946af9c09777ada933051b3669d3372c2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {m} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ac8a515de34f0af7d15de46f73bf674950d444a8 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {s} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/96e2fc9c05e5a00a84bf821c01b134b590db06ac height: height attribute not set width: width attribute not set description: {\displaystyle \sigma ^{2}:={\frac {1}{dnm}}\sum _{j=1}^{n}\sum _{i=1}^{m}\lvert s_{j}-m_{i}\rvert ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bd6ef3588492d6719c01643962f1d70b907c8f67 height: height attribute not set width: width attribute not set description: {\displaystyle p_{ij}:={\frac {\exp \left(-{\frac {1}{2\sigma ^{2}}}\lvert s_{j}-t(m_{i},\theta )\rvert ^{2}\right)}{\sum _{k=1}^{m}\exp \left(-{\frac {1}{2\sigma ^{2}}}\lvert s_{j}-t(m_{k},\theta )\rvert ^{2}\right)+(2\pi \sigma ^{2})^{\frac {d}{2}}{\frac {w}{1-w}}{\frac {m}{n}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/235ffc0f1788b720aef5caa7b97246a84421fd0e height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {1} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5de85fcc2a00d8ba14aae84aeef812d7fef4b3d5 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {r} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/16ff63cc74a931900e79b3caacbae3fa8cc66845 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {t} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/46c71f11dd5343e398752a0e8dd2502285857913 height: height attribute not set width: width attribute not set description: {\displaystyle \theta =\lbrace a,\mathbf {r} ,\mathbf {t} \rbrace } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7a00d6f55c1a5dfebb6ca88f96115d130d6a6491 height: height attribute not set width: width attribute not set description: {\displaystyle \theta _{0}=\lbrace 1,\mathbf {i} ,\mathbf {0} \rbrace } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/639b0b7c99b92f8316046c199764e53146fb508f height: height attribute not set width: width attribute not set description: {\displaystyle t(\mathbf {m} )=a\mathbf {m} \mathbf {r} ^{t}+\mathbf {1} \mathbf {t} ^{t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9fb22673314c9b21fc61e6506a9750be4b87f4ef height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{s}:={\frac {1}{n_{\mathbf {p} }}}\mathbf {s} ^{t}\mathbf {p} ^{t}\mathbf {1} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/aa11630c33a4568e009c3bd31a7ae965420b6ff7 height: height attribute not set width: width attribute not set description: {\displaystyle \mu _{m}:={\frac {1}{n_{\mathbf {p} }}}\mathbf {m} ^{t}\mathbf {p} \mathbf {1} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/311885d1e85f1411a672d0f860ca897e0df6e6b7 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\mathbf {s} }}:=\mathbf {s} -\mathbf {1} \mu _{s}^{t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f5b443c1a8930fee95af023e78c85ee2d0428a82 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\mathbf {m} }}:=\mathbf {m} -\mathbf {1} \mu _{m}^{t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/66c18dc039045826a865c7bad0ebf55ed0605fa4 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {a} :={\hat {\mathbf {s} ^{t}}}\mathbf {p} ^{t}{\hat {\mathbf {m} }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d5e652a0d8e5774abdce36a8b1e3bc456620c63c height: height attribute not set width: width attribute not set description: {\displaystyle a:={\frac {\operatorname {tr} (\mathbf {a} ^{t}\mathbf {r} )}{\operatorname {tr} (\mathbf {{\hat {\mathbf {m} }}^{t}\operatorname {diag} (\mathbf {p} \mathbf {1} ){\hat {\mathbf {m} }}} )}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/aa73a42b216a89a0a6a54e4b131a9eb1712d42cd height: height attribute not set width: width attribute not set description: {\displaystyle \sigma ^{2}:={\frac {1}{n_{\mathbf {p} }d}}(\operatorname {tr} (\mathbf {{\hat {\mathbf {s} }}^{t}\operatorname {diag} (\mathbf {p} ^{t}\mathbf {1} ){\hat {\mathbf {s} }}} )-a\operatorname {tr} (\mathbf {a} ^{t}\mathbf {r} ))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cafb0ef39b0f5ffa23c170aa7f7b4e718327c4d1 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/565b61968503683c083569f9ec8fea8ad6e976c1 height: height attribute not set width: width attribute not set description: {\displaystyle t(\mathbf {m} )=\mathbf {m} \mathbf {b} ^{t}+\mathbf {1} \mathbf {t} ^{t}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e33aad4a7fab1a579b47e3ebfad16c0fa5776f03 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} :=({\hat {\mathbf {s} }}^{t}\mathbf {p} ^{t}{\hat {\mathbf {m} }})({\hat {\mathbf {m} }}^{t}\operatorname {diag} (\mathbf {p} \mathbf {1} ){\hat {\mathbf {m} }})^{-1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f37a3b103534f1c431e0d8f4f86a8f5d9350561 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma ^{2}:={\frac {1}{n_{\mathbf {p} }d}}(\operatorname {tr} ({\hat {\mathbf {s} }}^{t}\operatorname {diag} (\mathbf {p} ^{t}\mathbf {1} ){\hat {\mathbf {s} }})-\operatorname {tr} ({\hat {\mathbf {s} }}^{t}\mathbf {p} ^{t}{\hat {\mathbf {m} }}\mathbf {b} ^{t}))} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/92accdfb7b2bf51f95b0f336a0e8e2b7b266d25f height: height attribute not set width: width attribute not set description: {\displaystyle o(m+n)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ee63b96e5439a02e97fd879b623275fbda6be74a height: height attribute not set width: width attribute not set description: {\displaystyle o(mn)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cda9be75d48c09256c89183394394dbce9524947 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{m}^{-1}={\frac {1}{\sigma ^{2}}}\left(\alpha _{m}\mathbf {n} _{m}\mathbf {n} _{m}^{t}+\mathbf {i} \right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8c74723009e8a3348556113040e94d110cb3fb7e height: height attribute not set width: width attribute not set description: {\displaystyle \alpha _{m}={\frac {1-\exp \left(\lambda \left(3-{\frac {1}{\kappa _{m}}}\right)\right)}{1+\exp \left(\lambda \left(3-{\frac {1}{\kappa _{m}}}\right)\right)}}\alpha _{max}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/62b78e616f0f01d6deef72e313f64e515af7f303 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ad849bf1a649439a1d7f10e74410ad9308925c5b height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {n} _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8a458c8aeb096ce732abf346ae8edf3e4f53a126 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {i} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/251a293d0e46862cdeba1f4a095eb3c6415fa69b height: height attribute not set width: width attribute not set description: {\displaystyle \alpha _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3cf3fff473bfb0cf76cae46f5bcf2d4dd55f789b height: height attribute not set width: width attribute not set description: {\displaystyle \kappa _{m}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/45260dc81cdf5b45fe47876dedccd40a3eb03978 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha _{max}} |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://en.wikipedia.org/static/images/footer/wikimedia-button.png height: 31 width: 88 description: wikimedia foundation |
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