A program to play “Set”

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Justin Pearson
Sep 21, 2017

We use Mathematica’s image-processing functions and a little machine learning to play the pattern-matching card game “Set”.
For more information see:
http://justinppearson.com/presentations.html#a-program-to-play-the-set-card-game

https://www.setgame.com/sites/default/files/instructions/SET%20Mini%20Round%20Instructions.pdf

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Enable / disable webcam usage (in case no webcam)

Graphics:PlotLabel /. Options[{USEWEBCAM = False ;, , RowBox[{If, [, RowBox[{USEWEBCAM, ,, , Print[$ImagingDevices] ; $ImagingDevice = Logitech Camera ; currentImage[] = CurrentImage[] ;, , ,, , RowBox[{RowBox[{currentImage[], =, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <240,320,3>], {{0, 240}, {320, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> True], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSizeRaw -> {320, 240}, PlotRange -> {{0, 320}, {0, 240}}]}], ;}]}], , ]}]}]

Camera calibration (do this manually)

Adjust the lighting to make the CurrentImage[] match these pictures:

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Basic definitions

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Main algorithm

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Examples

No args: find sets in an example image:

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2nd arg: “debug” (show cards as you parse them):

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3rd arg: “quit after finding 1st set”:

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Color classifier

Simple “nearest neighbor” algorithm:  blob is closest to which color?

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Graphics:Symbols' median color in the RGB colorspace

Shape classifier

We use Multinomial Logistic Regression using 4 shape properties, then train with Maximum-Likelihood Estimation of the decision boundaries.

Gather & Prep Training Data / Test Data

Graphics:PlotLabel /. Options[{RowBox[{RowBox[{trainingFrames, =, RowBox[{{, RowBox[{GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <240,320,3>], {{0, 240}, {320, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> True], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {320, 240}, PlotRange -> {{0, 320}, {0, 240}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <240,320,3>], {{0, 240}, {320, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> True], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {320, 240}, PlotRange -> {{0, 320}, {0, 240}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <240,320,3>], {{0, 240}, {320, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> True], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {320, 240}, PlotRange -> {{0, 320}, {0, 240}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <240,320,3>], {{0, 240}, {320, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> True], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {320, 240}, PlotRange -> {{0, 320}, {0, 240}}]}], }}]}], ;}], , RowBox[{RowBox[{testFrames, =, RowBox[{{, RowBox[{GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <240,320,3>], {{0, 240}, {320, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> True], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {320, 240}, PlotRange -> {{0, 320}, {0, 240}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <240,320,3>], {{0, 240}, {320, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> True], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {320, 240}, PlotRange -> {{0, 320}, {0, 240}}]}], }}]}], ;}]}]

“Training” frames:

Graphics:PlotLabel /. Options[{RowBox[{RowBox[{trainBlobs, =, RowBox[{{, RowBox[{GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <16,25,4>], {{0, 16}, {25, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {25, 16}, PlotRange -> {{0, 25}, {0, 16}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <11,22,4>], {{0, 11}, {22, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, 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{UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {22, 20}, PlotRange -> {{0, 22}, {0, 20}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <20,22,4>], {{0, 20}, {22, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, 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HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {22, 20}, PlotRange -> {{0, 22}, {0, 20}}]}], }}]}], ;}], , trainTrueLabels = (sddsssdddooooodddossdddossssdddddddooooddossoodddssssssddsossdddddooodoooooodddsssssooodddddssoddoddddoo//Characters)/.{o&rarr;oval, d&rarr;diamond, s&rarr;squiggly} ;, , MapThread[Labeled[#1, #2] &amp;, {trainBlobs, trainTrueLabels}]}]

index_20.gif

“Testing” frames:

Graphics:PlotLabel /. 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{HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {17, 22}, PlotRange -> {{0, 17}, {0, 22}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <25,13,4>], {{0, 25}, {13, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {13, 25}, PlotRange -> {{0, 13}, {0, 25}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <25,13,4>], {{0, 25}, {13, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {13, 25}, PlotRange -> {{0, 13}, {0, 25}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <25,13,4>], {{0, 25}, {13, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {13, 25}, PlotRange -> {{0, 13}, {0, 25}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <23,11,4>], {{0, 23}, {11, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {11, 23}, PlotRange -> {{0, 11}, {0, 23}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <25,17,4>], {{0, 25}, {17, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {17, 25}, PlotRange -> {{0, 17}, {0, 25}}], ,, GraphicsBox[TagBox[RasterBox[RawArray[UnsignedInteger8, <24,17,4>], {{0, 24}, {17, 0}}, {0, 255}, ColorFunction -> RGBColor], BoxForm`ImageTag[System`Convert`CommonDump`ConvertText[Byte, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ColorSpace -> System`Convert`CommonDump`ConvertText[RGB, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], Interleaving -> False, Magnification -> Automatic], Selectable -> False], DefaultBaseStyle -> System`Convert`CommonDump`ConvertText[ImageGraphics, System`Convert`HTMLDump`htmlsave, HTMLEntities -> {HTMLBasic}, AltMathOutput -> PlotLabel, WindowSize -> {2000, Automatic}, ManipulateOutput -> JPG, CSS -> mma.css, CharacterEncoding -> Automatic, ConversionStyleEnvironment -> None, ConversionRules -> Automatic, HeadAttributes -> {}, HeadElements -> {}, CSS -> Automatic, ConvertLinkedNotebooks -> False, MathOutput -> GIF, GraphicsOutput -> GIF, Graphics3DOutput -> Automatic, ManipulateOutput -> CDF, ConvertClosed -> True, ConvertReverseClosed -> False, FullDocument -> True, AltMathOutput -> FileName, TableOutput -> {TextForm, Automatic}, AnimationOutput -> Automatic, FilesDirectory -> HTMLFiles, LinksDirectory -> HTMLLinks, HTMLEntities -> {HTML}, AllowBlockMathML -> False, ShowStyles -> True, DataUri -> False, MathMLOptions -> {UseUnicodePlane1Characters -> False, IncludeMarkupAnnotations -> False, Entities -> MathML}], ImageSize -> Automatic, ImageSizeRaw -> {17, 24}, PlotRange -> {{0, 17}, {0, 24}}]}], }}]}], ;}], , testTrueLabels = (ooosddsooddooosddooossdddsdddsdssoooooodoo//Characters)/.{o&rarr;oval, d&rarr;diamond, s&rarr;squiggly} ;, , MapThread[Labeled[#1, #2] &amp;, {testBlobs, testTrueLabels}]}]

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Gather feature vectors

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Plot training and test sets

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Train classifier

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Examples

index_40.gif

shape x=rectangularity etc A*x classified shape
index_41.gif {1,0.705561,0.525649,0.961538,0.88058} {-4.74043,19.5778,0.} oval
index_42.gif {1,0.51032,0.3631,0.904762,0.817582} {27.8106,0.31323,0.} diamond
index_43.gif {1,0.620569,0.455728,0.870229,0.791842} {-22.7232,-17.347,0.} squiggly

Validation:

index_44.gif

image shape stats true predicted
index_45.gif {0.705561,0.525649,0.961538,0.88058} oval oval
index_46.gif {0.714978,0.539667,0.966527,0.888673} oval oval
index_47.gif {0.711933,0.544339,0.96281,0.883971} oval oval
index_48.gif {0.601687,0.413548,0.828571,0.79291} squiggly squiggly
index_49.gif {0.515522,0.373147,0.961039,0.813598} diamond diamond
index_50.gif {0.561538,0.417737,0.960526,0.860124} diamond diamond
index_51.gif {0.631277,0.429324,0.781609,0.780505} squiggly squiggly
index_52.gif {0.702756,0.54322,0.961977,0.888574} oval oval
index_53.gif {0.708888,0.55952,0.958491,0.890328} oval oval
index_54.gif {0.51032,0.3631,0.904762,0.817582} diamond diamond
index_55.gif {0.508121,0.3631,0.888889,0.808189} diamond diamond
index_56.gif {0.70309,0.551348,0.963265,0.889643} oval oval
index_57.gif {0.718647,0.575406,0.967078,0.899936} oval oval
index_58.gif {0.724509,0.565612,0.970588,0.900984} oval oval
index_59.gif {0.603027,0.415597,0.8,0.771144} squiggly squiggly
index_60.gif {0.536667,0.345686,0.947059,0.834969} diamond diamond
index_61.gif {0.552083,0.369425,0.946429,0.848786} diamond diamond
index_62.gif {0.781065,0.567796,0.977778,0.91468} oval oval
index_63.gif {0.784024,0.569947,0.974265,0.916411} oval oval
index_64.gif {0.807692,0.57836,0.992727,0.930141} oval oval
index_65.gif {0.620569,0.455728,0.870229,0.791842} squiggly squiggly
index_66.gif {0.613078,0.433972,0.869732,0.776643} squiggly squiggly
index_67.gif {0.501897,0.359726,0.932515,0.79651} diamond diamond
index_68.gif {0.525362,0.365584,0.947712,0.846014} diamond diamond
index_69.gif {0.517361,0.335775,0.943038,0.824905} diamond diamond
index_70.gif {0.581068,0.401325,0.8107,0.771076} squiggly squiggly
index_71.gif {0.549407,0.339043,1.,0.832328} diamond diamond
index_72.gif {0.570248,0.365295,1.,0.853363} diamond diamond
index_73.gif {0.570248,0.365295,1.,0.849756} diamond diamond
index_74.gif {0.592828,0.425771,0.803846,0.784146} squiggly squiggly
index_75.gif {0.541958,0.378795,0.922619,0.841921} diamond diamond
index_76.gif {0.60962,0.438328,0.820313,0.776181} squiggly squiggly
index_77.gif {0.612613,0.442503,0.788104,0.773027} squiggly squiggly
index_78.gif {0.707744,0.539281,0.945098,0.891947} oval oval
index_79.gif {0.70187,0.534805,0.944664,0.888238} oval oval
index_80.gif {0.704807,0.543732,0.944882,0.890094} oval oval
index_81.gif {0.736264,0.567767,0.950355,0.918046} oval oval
index_82.gif {0.733516,0.555482,0.943463,0.907918} oval oval
index_83.gif {0.741823,0.572004,0.9375,0.904698} oval oval
index_84.gif {0.555556,0.371749,0.987654,0.851451} diamond diamond
index_85.gif {0.713693,0.540691,0.958763,0.882272} oval oval
index_86.gif {0.708978,0.527836,0.962069,0.885473} oval oval

Play Set

index_87.gif

index_88.gif

Created with the Wolfram Language