Wolfram Computation Meets Knowledge

22 Machine Learning

22Machine Learning
So far in this book, when we’ve wanted the Wolfram Language to do something, we’ve written code to tell it exactly what to do. But the Wolfram Language is also set up to be able to learn what to do just by looking at examples, using the idea of machine learning.
We’ll talk about how to train the language yourself. But first let’s look at some built-in functions that have already been trained on huge numbers of examples.
LanguageIdentify takes pieces of text, and identifies what human language they’re in.
Identify the language each phrase is in:
LanguageIdentify[{ "thank you", "merci", "dar las gracias", "感謝", "благодарить"}]
 
The Wolfram Language can also do the considerably more difficult “artificial intelligence” task of identifying what an image is of.
Identify what an image is of:
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250, System`Convert`ExifDump`ReadFIDData[ InputStream[String, 4], {136, 0, 0, 0, 0}, True], "GPSLatitudeRef" -> "N", "GPSLatitude" -> {51, 54, Rational[147, 100]}, "GPSLongitudeRef" -> "W", "GPSLongitude" -> {8, 17, Rational[667, 20]}}}], Selectable->False], BaseStyle->"ImageGraphics", ImageSize->{159.62890625, Automatic}, ImageSizeRaw->{320, 213}, PlotRange->{{0, 320}, {0, 213}}]\)]
 
There’s a general function Classify, which has been taught various kinds of classification. One example is classifying the “sentiment” of text.
Upbeat text is classified as having positive sentiment:
Classify["Sentiment", "I'm so excited to be programming"]
 
Downbeat text is classified as having negative sentiment:
Classify["Sentiment", "math can be really hard"]
 
You can also train Classify yourself. Here’s a simple example of classifying handwritten digits as 0 or 1. You give Classify a collection of training examples, followed by a particular handwritten digit. Then it’ll tell you whether the digit you give is a 0 or 1.
With training examples, Classify correctly identifies a handwritten 0:
Classify[{\!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRJI mQgQCwLxfyg4NdWR1xjG+X9muSUbAyMjZ+9rCH8+F6Nc+qzjDeGM5SDu39WM rPmfQazfGQKngFQXI+NMmF7FoP//bzEy7oUbttX8//9iRlE4//82yVePhVkm IwS+yPaeYBT5jwTcLU8whiILCKudYFyBLCCkeoKxFIm/m9nyAnsSksA2xob/ qsiGrmdc/l+V9ylCIEbzy/+djIpw/hGFwP///2Qwpj+H8NeogT33SJJRrPj4 rVvLJnPyHQFLvO6TYmEEAfNDcM1bYmwYzTrfg5gAPlYFyw== "], {{0, 20}, {17, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{17, 20}, PlotRange->{{0, 17}, {0, 20}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 255, 255, 219, 87, 139, 253}, {255, 255, 255, 255, 119, 1, 1, 212}, {255, 255, 255, 255, 62, 1, 46, 236}, {255, 255, 255, 218, 26, 1, 94, 255}, {255, 255, 255, 177, 1, 1, 206, 255}, {255, 255, 255, 68, 1, 1, 206, 255}, { 255, 255, 255, 68, 1, 1, 206, 255}, {255, 255, 255, 68, 1, 15, 215, 255}, {255, 255, 255, 68, 1, 103, 255, 255}, {255, 255, 213, 18, 1, 138, 255, 255}, {255, 255, 165, 1, 1, 200, 255, 255}, {255, 255, 74, 1, 1, 200, 255, 255}, {255, 239, 51, 1, 56, 244, 255, 255}, {255, 205, 1, 1, 69, 255, 255, 255}, {255, 205, 1, 1, 69, 255, 255, 255}, {255, 155, 1, 1, 118, 255, 255, 255}, {255, 80, 0, 0, 193, 255, 255, 255}, {235, 45, 1, 1, 193, 255, 255, 255}, {211, 1, 1, 60, 252, 255, 255, 255}, { 232, 40, 89, 218, 255, 255, 255, 255}}, {{0, 20}, {8, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{8, 20}, PlotRange->{{0, 8}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 229, 134, 121, 2, 2, 0, 58, 242, 255, 255, 255, 255}, {255, 226, 47, 3, 3, 3, 3, 2, 3, 14, 218, 255, 255, 255}, {133, 22, 3, 3, 3, 3, 3, 96, 57, 3, 67, 235, 255, 255}, {42, 3, 3, 3, 68, 216, 145, 255, 182, 54, 3, 69, 234, 255}, {63, 52, 3, 3, 162, 255, 255, 255, 255, 186, 13, 3, 189, 255}, {220, 188, 3, 33, 231, 255, 255, 255, 255, 255, 70, 3, 91, 255}, {255, 188, 3, 43, 255, 255, 255, 255, 255, 255, 187, 11, 48, 242}, {255, 174, 3, 43, 255, 255, 255, 255, 255, 255, 255, 55, 3, 176}, {255, 55, 3, 43, 255, 255, 255, 255, 255, 255, 255, 55, 3, 176}, {255, 55, 3, 43, 255, 255, 255, 255, 255, 255, 255, 55, 3, 176}, {255, 54, 2, 42, 255, 255, 255, 255, 255, 255, 255, 54, 2, 175}, {255, 55, 3, 43, 255, 255, 255, 255, 255, 255, 255, 55, 3, 120}, {255, 55, 3, 43, 255, 255, 255, 255, 255, 255, 255, 55, 3, 162}, {255, 98, 3, 9, 134, 255, 255, 255, 255, 255, 229, 39, 3, 176}, {255, 188, 3, 3, 30, 255, 255, 255, 255, 255, 139, 3, 3, 176}, {255, 237, 52, 3, 24, 232, 255, 255, 255, 235, 34, 3, 14, 192}, {255, 255, 90, 3, 3, 128, 255, 255, 238, 136, 3, 3, 147, 255}, {255, 255, 235, 67, 3, 8, 95, 164, 56, 3, 3, 60, 231, 255}, {255, 255, 255, 217, 15, 3, 3, 2, 3, 3, 57, 233, 255, 255}, {255, 255, 255, 255, 242, 59, 3, 2, 60, 136, 236, 255, 255, 255}}, {{0, 20}, {14, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{14, 20}, PlotRange->{{0, 14}, {0, 20}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 255, 255, 157, 22, 154}, {255, 255, 255, 255, 1, 2, 39}, {255, 255, 255, 223, 0, 67, 205}, {255, 255, 221, 36, 1, 163, 255}, {255, 255, 162, 2, 1, 163, 255}, {255, 255, 151, 1, 23, 255, 255}, {255, 255, 47, 2, 98, 255, 255}, { 255, 255, 47, 2, 139, 255, 255}, {255, 255, 47, 2, 234, 255, 255}, {255, 191, 6, 2, 255, 255, 255}, {255, 69, 1, 1, 255, 255, 255}, {255, 70, 2, 76, 255, 255, 255}, {242, 51, 2, 118, 255, 255, 255}, {208, 2, 2, 212, 255, 255, 255}, {103, 2, 2, 232, 255, 255, 255}, {92, 1, 94, 255, 255, 255, 255}, {93, 2, 94, 255, 255, 255, 255}, {93, 2, 94, 255, 255, 255, 255}, { 187, 2, 94, 255, 255, 255, 255}, {229, 33, 146, 255, 255, 255, 255}}, {{0, 20}, {7, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{7, 20}, PlotRange->{{0, 7}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[{{38, 78, 255, 255, 255, 255, 255, 255}, {39, 2, 143, 255, 255, 255, 255, 255}, {39, 1, 41, 229, 255, 255, 255, 255}, {39, 1, 1, 142, 255, 255, 255, 255}, {189, 18, 1, 41, 230, 255, 255, 255}, {255, 159, 1, 1, 190, 255, 255, 255}, { 255, 176, 1, 1, 146, 255, 255, 255}, {255, 176, 1, 1, 60, 255, 255, 255}, {255, 198, 15, 1, 60, 255, 255, 255}, {255, 255, 52, 0, 14, 200, 255, 255}, {255, 255, 149, 1, 1, 153, 255, 255}, {255, 255, 197, 12, 1, 53, 255, 255}, {255, 255, 255, 58, 1, 53, 255, 255}, {255, 255, 255, 58, 1, 18, 203, 255}, { 255, 255, 255, 58, 1, 1, 160, 255}, {255, 255, 255, 72, 1, 1, 18, 202}, {255, 255, 255, 228, 39, 1, 0, 160}, {255, 255, 255, 255, 72, 1, 1, 40}, {255, 255, 255, 255, 195, 1, 0, 43}, { 255, 255, 255, 255, 195, 1, 92, 214}}, {{0, 20}, {8, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{8, 20}, PlotRange->{{0, 8}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRJI mQgQCwHxfwj4yLj///98xtr/cFDExLYrVy2QxQQuksPEOO/F2x+20negAt+8 mBg/AWkXJkOoSBUTk8I3IL2WSewRRIk3E9NUEOMkE9MUsMhBJiZxMOOdBUTk jjwTM0TqfyBTG4g6xMTE/x8mIgYkbysyMYXBRUCKTRkZpWHuCmAAitxRYGKa AxWYzMZ78P8dDSamiK8QgWfaTLL//y9kYtL/BFUykUkF6AtzJiYLqMB+Xia/ //9fiDExzYIInHNmcnv1/389E5PBKxD/2lwuJlcQi4+JSaq6PS4ujoGJyfn1 f4gIBDDwt78Da+4Ngwh4tv2Emg8AlT70Eg== "], {{0, 20}, {18, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{18, 20}, PlotRange->{{0, 18}, {0, 20}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 255, 255, 160, 1, 57, 88, 189, 255, 255, 255}, {255, 255, 255, 250, 52, 1, 0, 1, 90, 246, 255, 255}, { 255, 255, 255, 237, 1, 23, 180, 6, 238, 255, 255, 255}, {255, 255, 255, 140, 3, 184, 255, 205, 90, 255, 255, 255}, {255, 255, 232, 10, 56, 255, 255, 255, 42, 217, 255, 255}, {255, 255, 143, 10, 204, 255, 255, 255, 148, 92, 250, 255}, {255, 239, 30, 19, 255, 255, 255, 255, 221, 13, 220, 255}, {255, 183, 1, 92, 255, 255, 255, 255, 255, 33, 184, 255}, {255, 131, 2, 196, 255, 255, 255, 255, 255, 118, 68, 253}, {255, 72, 28, 255, 255, 255, 255, 255, 255, 220, 13, 211}, {226, 15, 54, 255, 255, 255, 255, 255, 255, 255, 35, 211}, {211, 1, 116, 255, 255, 255, 255, 255, 255, 255, 36, 211}, {211, 1, 116, 255, 255, 255, 255, 255, 255, 255, 36, 211}, {211, 1, 116, 255, 255, 255, 255, 255, 255, 244, 29, 211}, {211, 1, 145, 255, 255, 255, 255, 255, 255, 141, 9, 219}, {211, 1, 104, 255, 255, 255, 255, 255, 213, 15, 100, 255}, {246, 45, 28, 255, 255, 255, 255, 238, 34, 34, 236, 255}, {255, 198, 8, 196, 255, 255, 209, 27, 39, 219, 255, 255}, {255, 245, 76, 6, 71, 71, 1, 34, 244, 255, 255, 255}, {255, 255, 237, 83, 1, 62, 116, 252, 255, 255, 255, 255}}, {{0, 20}, {12, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{12, 20}, PlotRange->{{0, 12}, {0, 20}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 255, 255, 255, 255, 229, 39, 20, 210}, { 255, 255, 255, 255, 255, 255, 202, 1, 1, 164}, {255, 255, 255, 255, 255, 255, 202, 1, 1, 164}, {255, 255, 255, 255, 255, 255, 81, 1, 37, 248}, {255, 255, 255, 255, 255, 201, 7, 1, 158, 255}, {255, 255, 255, 255, 255, 81, 1, 1, 170, 255}, { 255, 255, 255, 255, 255, 65, 1, 1, 170, 255}, {255, 255, 255, 255, 255, 65, 1, 38, 240, 255}, {255, 255, 255, 255, 202, 13, 1, 47, 255, 255}, {255, 255, 255, 255, 189, 1, 1, 147, 255, 255}, {255, 255, 255, 200, 48, 1, 40, 235, 255, 255}, {255, 255, 255, 155, 1, 1, 80, 255, 255, 255}, {255, 255, 240, 43, 0, 11, 196, 255, 255, 255}, {255, 255, 155, 1, 1, 80, 255, 255, 255, 255}, {255, 255, 45, 1, 1, 190, 255, 255, 255, 255}, {255, 202, 18, 1, 41, 230, 255, 255, 255, 255}, {255, 159, 1, 6, 148, 255, 255, 255, 255, 255}, {250, 37, 1, 80, 255, 255, 255, 255, 255, 255}, {162, 1, 3, 205, 255, 255, 255, 255, 255, 255}, {162, 1, 146, 255, 255, 255, 255, 255, 255, 255}}, {{0, 20}, {10, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{10, 20}, PlotRange->{{0, 10}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 255, 255, 255, 255, 255, 255, 255, 47, 2, 191}, {255, 255, 255, 255, 255, 255, 255, 255, 210, 19, 3, 160}, {255, 255, 255, 255, 255, 255, 255, 255, 102, 3, 34, 255}, {160, 255, 255, 255, 255, 255, 255, 217, 15, 3, 118, 255}, {244, 255, 255, 255, 255, 255, 255, 208, 3, 3, 118, 255}, {255, 255, 255, 255, 255, 255, 252, 85, 2, 2, 180, 255}, {255, 255, 255, 255, 255, 255, 210, 3, 3, 62, 247, 255}, {255, 255, 255, 255, 255, 255, 117, 3, 3, 178, 255, 255}, {255, 255, 255, 255, 255, 255, 117, 3, 3, 210, 255, 255}, {255, 255, 255, 255, 255, 255, 64, 3, 3, 210, 255, 255}, {255, 255, 255, 255, 255, 244, 0, 2, 71, 255, 255, 255}, {255, 255, 255, 255, 255, 139, 2, 3, 72, 255, 255, 255}, {255, 255, 255, 255, 255, 139, 2, 3, 155, 255, 255, 255}, {255, 255, 255, 255, 255, 45, 2, 3, 186, 255, 255, 255}, {255, 255, 255, 255, 255, 25, 2, 45, 249, 255, 255, 255}, {255, 255, 255, 255, 255, 24, 0, 48, 255, 255, 255, 255}, {255, 255, 255, 255, 195, 11, 2, 70, 255, 255, 255, 255}, {255, 255, 255, 255, 131, 3, 19, 230, 255, 255, 255, 255}, {255, 255, 255, 229, 31, 3, 120, 255, 255, 255, 255, 255}, {255, 255, 255, 185, 3, 3, 192, 255, 255, 255, 255, 255}}, {{0, 20}, {12, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{12, 20}, PlotRange->{{0, 12}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRJI mSAQiwDxfzhYefPm4/P/kUHXMyYlpXIZyxq4yLEw+XomZiBgki/7ChWLAXGZ IUQcRKg3gYmJiSG9uLi4yJeJqR8kdB6s5MkfEHsVM7MQkKqWYWIW8D4B0QIU Y/7/9bA8M5PPPphts0BiIIn+z3AXyIHEcpiYHBHOZGAC2SHHLAtTtWdVDBOz WMbndk7mXqi7p/MD3ed65f//BGbmGZ/ePz0cFgZ20OrjQNk+IMPJhB/iBeF+ iBeYQF5gYvItNi4uvgAx5bMXUEl4RPm3/x8Qtr9ZMfPEf1QAAMkk12Y= "], {{0, 17}, {20, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{20, 17}, PlotRange->{{0, 20}, {0, 17}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRJI mQgU/0eAw3vsGRkZtt9BElrNzwQGtnehAj8fWIoB+dw8rExM+yBCT71AKhT9 Pv9vZGVqAwt98QHrygKxuZiYQPre+IFE+PY+AXI+cjIJAKnNIBGe8IMgVTeM 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18, 193, 255, 255, 255, 255, 145, 2, 2, 2, 110, 255}, {213, 3, 3, 40, 255, 255, 255, 255, 255, 146, 3, 3, 3, 17, 225}, {111, 3, 3, 143, 255, 255, 255, 255, 255, 224, 28, 3, 3, 2, 220}, {111, 3, 3, 101, 255, 255, 255, 255, 255, 255, 38, 3, 3, 2, 220}, {110, 2, 2, 23, 208, 255, 255, 255, 255, 255, 37, 2, 2, 110, 255}, {111, 3, 3, 3, 147, 255, 255, 255, 255, 161, 8, 3, 3, 111, 255}, {130, 3, 3, 3, 44, 234, 255, 255, 255, 146, 3, 3, 3, 214, 255}, {254, 3, 3, 3, 3, 48, 235, 255, 255, 64, 3, 3, 3, 255, 255}, {254, 64, 2, 2, 2, 0, 2, 85, 2, 0, 2, 2, 64, 255, 255}, {255, 240, 75, 3, 3, 2, 3, 3, 3, 2, 3, 14, 178, 255, 255}, {255, 255, 234, 75, 3, 2, 3, 3, 3, 2, 14, 153, 255, 255, 255}, {255, 255, 255, 239, 65, 2, 3, 3, 3, 64, 178, 255, 255, 255, 255}}, {{0, 20}, {15, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{15, 20}, PlotRange->{{0, 15}, {0, 20}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 115, 1, 0, 54, 167, 255, 255, 255}, {255, 116, 2, 2, 2, 4, 144, 255, 255}, {255, 116, 2, 2, 2, 2, 101, 255, 255}, {255, 116, 2, 2, 2, 2, 101, 255, 255}, {255, 116, 2, 2, 2, 2, 101, 255, 255}, {213, 20, 2, 2, 2, 2, 101, 255, 255}, { 205, 2, 2, 2, 2, 2, 101, 255, 255}, {205, 2, 2, 2, 2, 2, 101, 255, 255}, {205, 2, 2, 2, 2, 2, 101, 255, 255}, {205, 2, 2, 2, 2, 2, 101, 255, 255}, {205, 2, 2, 2, 2, 2, 101, 255, 255}, { 205, 2, 2, 2, 2, 2, 101, 255, 255}, {242, 87, 2, 2, 2, 2, 91, 248, 255}, {255, 116, 2, 2, 2, 2, 2, 190, 255}, {255, 137, 6, 2, 2, 2, 2, 190, 255}, {255, 255, 25, 2, 2, 2, 2, 190, 255}, { 255, 255, 63, 2, 2, 2, 2, 47, 255}, {255, 255, 189, 2, 2, 2, 2, 12, 174}, {255, 255, 251, 138, 4, 2, 2, 2, 43}, {255, 255, 255, 255, 116, 2, 2, 2, 117}}, {{0, 20}, {9, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{9, 20}, PlotRange->{{0, 9}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRJI mQgU/0cFfy4pMs1HFbrSyczM7IskcGlnNCcTM7PMbITQGVugGqBYPEKXMg9Q yLxMh3ky1OR5ikxMDExGr/7/z2Dq+gMSehkKVKJrUP0MyJ7DrPsZSB0zYmI2 LfoJ0bKRWeb9/3eL5Jm5Sj5Bjf1my9wBNACobxvcqs3MzHP/P2di4mqEC+03 BVm0l5m/Bi50s5iJe9L//4rMHnChN8rMTC1AWox5Gcz4XmVm3bnvgCwm5l0Q oalezMxJL8FMUyaQcR9OlPIw63W/gkibMcu0X5ioAnSQHtxcR2ZIaMhsuA8X ++AHFOOK3/QIOWh/vewqe4Ua2gDMqh37 "], {{0, 20}, {20, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{20, 20}, PlotRange->{{0, 20}, {0, 20}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 255, 255, 255, 255, 255, 255, 255, 253, 103, 0, 221}, {255, 255, 255, 255, 255, 255, 255, 255, 255, 168, 2, 2, 107}, {255, 255, 255, 255, 255, 255, 255, 255, 249, 47, 2, 2, 155}, {255, 255, 255, 255, 255, 255, 255, 255, 108, 2, 2, 2, 173}, {255, 255, 255, 255, 255, 255, 255, 246, 50, 2, 2, 74, 243}, {255, 255, 255, 255, 255, 255, 255, 186, 2, 2, 2, 218, 255}, {255, 255, 255, 255, 255, 255, 244, 94, 2, 2, 59, 242, 255}, {255, 255, 255, 255, 255, 255, 192, 2, 2, 2, 113, 255, 255}, {255, 255, 255, 255, 255, 255, 105, 2, 2, 59, 242, 255, 255}, {255, 255, 255, 255, 255, 183, 20, 2, 2, 173, 255, 255, 255}, {255, 255, 255, 255, 255, 75, 2, 2, 92, 243, 255, 255, 255}, {255, 255, 255, 255, 215, 18, 2, 2, 200, 255, 255, 255, 255}, {255, 255, 255, 241, 80, 2, 2, 24, 217, 255, 255, 255, 255}, {255, 255, 255, 168, 2, 2, 23, 194, 255, 255, 255, 255, 255}, {255, 255, 177, 14, 2, 2, 110, 255, 255, 255, 255, 255, 255}, {255, 242, 58, 2, 2, 100, 247, 255, 255, 255, 255, 255, 255}, {244, 71, 2, 2, 22, 212, 255, 255, 255, 255, 255, 255, 255}, {230, 2, 2, 2, 51, 255, 255, 255, 255, 255, 255, 255, 255}, {230, 2, 2, 2, 109, 255, 255, 255, 255, 255, 255, 255, 255}, {242, 50, 20, 146, 253, 255, 255, 255, 255, 255, 255, 255, 255}}, {{0, 20}, {13, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{13, 20}, PlotRange->{{0, 13}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxdUDEOwjAMtJgYEeID/ILRjKxFPKAVoWIJUoqEmPw0Py04cRvsWnKUO93F OR+HV/fYAMC0laPrP+eU+u91J+AWp+cYw/0S32EM6TQU2UF6L52XYgDKtoTw lEAkxJWAEBxRC7lZRFE0AOynkFJ2LNU7zdK/3BAFUEbzb3W5n86MM6GwRsJr E9VdYGMYNT3rO1wjaCzU1HY9S3K7Li7JG/oBdlL2Qg== "], {{0, 20}, {18, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{18, 20}, PlotRange->{{0, 18}, {0, 20}}]\) -> 0, \!\(\* GraphicsBox[ TagBox[RasterBox[{{61, 230, 255, 255, 255, 255}, {69, 52, 255, 255, 255, 255}, {197, 12, 255, 255, 255, 255}, {220, 43, 182, 255, 255, 255}, {93, 4, 156, 255, 255, 255}, {118, 0, 156, 255, 255, 255}, {247, 36, 62, 251, 255, 255}, {255, 67, 1, 178, 255, 255}, {255, 147, 1, 100, 255, 255}, {255, 249, 1, 100, 255, 255}, {255, 253, 79, 100, 255, 255}, {255, 255, 99, 2, 233, 255}, {255, 255, 99, 1, 146, 255}, {255, 255, 99, 1, 133, 255}, {255, 255, 99, 1, 42, 255}, {255, 255, 192, 1, 42, 255}, {255, 255, 202, 1, 14, 213}, {255, 255, 247, 96, 1, 193}, {255, 255, 255, 232, 4, 127}, {255, 255, 255, 196, 2, 89}}, {{0, 20}, {6, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{6, 20}, PlotRange->{{0, 6}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[{{172, 62, 53, 226, 255, 255}, {24, 1, 1, 56, 255, 255}, {24, 1, 1, 9, 255, 255}, {45, 1, 1, 9, 255, 255}, {188, 1, 1, 9, 255, 255}, {188, 1, 1, 9, 255, 255}, {188, 1, 1, 9, 255, 255}, {188, 1, 1, 9, 255, 255}, {188, 1, 1, 4, 158, 255}, {188, 1, 1, 1, 100, 255}, {233, 67, 1, 1, 100, 255}, { 255, 98, 1, 1, 100, 255}, {255, 98, 1, 1, 100, 255}, {255, 98, 1, 1, 100, 255}, {255, 98, 1, 1, 100, 255}, {255, 98, 1, 1, 100, 255}, {255, 98, 1, 1, 100, 255}, {255, 189, 4, 1, 100, 255}, {255, 255, 7, 1, 6, 145}, {255, 255, 7, 1, 1, 25}}, {{0, 20}, {6, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{6, 20}, PlotRange->{{0, 6}, {0, 20}}]\) -> 1, \!\(\* GraphicsBox[ TagBox[RasterBox[{{255, 255, 41, 83, 255}, {255, 255, 2, 3, 255}, { 255, 255, 21, 2, 153}, {255, 255, 103, 3, 153}, {255, 255, 41, 2, 214}, {255, 255, 2, 3, 255}, {255, 214, 1, 2, 255}, {255, 173, 2, 3, 255}, {255, 153, 1, 2, 255}, {255, 153, 2, 43, 255}, {255, 153, 1, 104, 255}, {255, 153, 2, 104, 255}, {255, 52, 1, 205, 255}, {234, 32, 22, 225, 255}, {183, 2, 52, 255, 255}, {103, 3, 52, 255, 255}, {103, 2, 152, 255, 255}, {22, 3, 235, 255, 255}, {0, 63, 255, 255, 255}, {2, 144, 255, 255, 255}}, {{0, 20}, {5, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSizeRaw->{5, 20}, PlotRange->{{0, 5}, {0, 20}}]\) -> 1}, \!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBAkBOaF5xZnpeaopnXklqemqRRRJI mQgQCwHxfxh4sz/TkJHB/SVc4JoKExh0wQTexgB5bNJMTHwfoSIFQAH5yRuA 5CIw/1MsKxNT+I3/N/hgIvZMTALFf4EMaajIDqCKXLAUVOStDBOT939kkW6g odfBAn+lmLg+/P9/mpOJaTlEyWwmJkUgFcnEZP4WLHBKl4mp5P//+cxMTPch SmyYmHiBzGImJsvvYIE8VibODWAJ1q1ggcmsTNztQPoRB5MMiP++A6i7AMRa yAQWOZDBxMQZ/R0ucriCn4lJYwPEfKAIqyob0M9G76DBcIcdHFBS1W/ggTdT lokpdu0TOP8/ADHi5B0= "], {{0, 20}, {18, 0}}, {0, 255}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Byte", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], BaseStyle->"ImageGraphics", ImageSize->{22.86328125, Automatic}, ImageSizeRaw->{18, 20}, PlotRange->{{0, 18}, {0, 20}}]\)]
 
To get some sense of how this worksand because it’s useful in its own rightlet’s talk about the function Nearest, that finds what element in a list is nearest to what you supply.
Find what number in the list is nearest to 22:
Nearest[{10, 20, 30, 40, 50, 60, 70, 80}, 22]
 
Find the nearest three numbers:
Nearest[{10, 20, 30, 40, 50, 60, 70, 80}, 22, 3]
 
Nearest can find nearest colors as well.
Find the 3 colors in the list that are nearest to the color you give:
Nearest[{Hue[0.], Hue[0.05], Hue[0.1], Hue[0.15000000000000002`], Hue[ 0.2], Hue[0.25], Hue[0.30000000000000004`], Hue[ 0.35000000000000003`], Hue[0.4], Hue[0.45], Hue[0.5], Hue[0.55], Hue[0.6000000000000001], Hue[0.65], Hue[0.7000000000000001], Hue[ 0.75], Hue[0.8]}, RGBColor[ 0.8727094319714808, 0.9066617343162084, 0.09569669807641734], 3]
 
It also works on words.
Find the 10 words nearest to “good” in the list of words:
Nearest[WordList[ ], "good", 10]
 
Create an image of the word “hello”, then blur it:
Blur[Rasterize[Style["hello", 30]], 3]
 
TextRecognize can still recognize the original text string in this.
Recognize text in the image:
TextRecognize[\!\(\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJztmOlTWmm+x7vmvrkv779w39yXUzVTt2a6p6ump28qmSxtVMQdWWVxAfd9 j0vivu8BRTSoMWqM4C6iqIgLCiggsggIKCgKsqqZ+xw1c9PdmUo60/fFVOWn WPKc53zP5zwcfs/v+/tPbByM8Juvvvoq6d/BHxgm7fvERExGwH+AN4GUpCgi BR/5gJKMJ+ITv8b+Gxj8L/D6Dryg///2Jb7El/jXibdv315dXV1cXHihuLi8 vLp6+/b/Vfw6ri4v341egNHPvObV5YXb6Ti1nhwdmc0Wq83u9Hgvfx1+CPHn 4uAWLr0e97nt9Nh8BH6spzanywPu6zMu6XGdW0w6mWSLzxcI1rf3NCarzem9 +Bypn7JfXX5I3OFyueynFp1Stingr/AF29I9k9nqdHs/Y8Xs1kOFWDA+yGxv bqfRhzlLYq0RSF388/BXF56fi+8bjk9PrSatYmVurIfW1tZGG2JzxLtasGKf sWDWQ41wgdVRU5SekJyTX9s3siBVH9qd3qt/Gv7S6/qAuMpgNh+p5cLRlx2F OelJaTm11P75ddnhid17+Yvhjw17K5N9DfkJJCSKHFfQ0TspVhjOHJ5fAd7j +Lm4SK41mYy7En4fvS6eQkQSyPk1HZPLYoPF5rn4xde06HeX2T01mVG4oGBS VObzbvaWXH967oZSwG1A2eEfnX6TTz44E8B/QFy2bzQaZKKlHmpVFAkbjCFl Vjxn87b05rOfwt9kpR9p/xTDopcvs7trMkm4wEASMaON/mZNojKZT07Pzk6h OLPZHU63B0pz7517LXvp9XqcTofdZrueeWqDpro8Xu9NRryA4N+JBwWRSH+H PwDw3dQqEgkb9AH460R6ceFxuxzndtsNBYRx7nS5QWa91v4xfAYJCw+IxCXV 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ColorSpace -> "RGB", Interleaving -> False], Selectable->False], DefaultBaseStyle->"ImageGraphics", ImageSize->Automatic, ImageSizeRaw->{63, 38}, PlotRange->{{0, 63}, {0, 38}}]\)]
 
If the text gets too blurred TextRecognize can’t tell what it saysand you probably can’t either.
Generate a sequence of progressively more blurred pieces of text:
Table[Blur[Rasterize["hello"], r], {r, 0, 10}]
 
As the text gets more blurred, TextRecognize makes a mistake, then gives up altogether:
Table[TextRecognize[Blur[Rasterize["hello"], r]], {r, 0, 10}]
 
Something similar happens if we progressively blur the picture of a cheetah. When the picture is still fairly sharp, ImageIdentify will correctly identify it as a cheetah. But when it gets too blurred ImageIdentify starts thinking it’s more likely to be a lion, and eventually the best guess is that it’s a picture of a person.
Progressively blur a picture of a cheetah:
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250, System`Convert`ExifDump`ReadFIDData[ InputStream[String, 4], {136, 0, 0, 0, 0}, True], "GPSLatitudeRef" -> "N", "GPSLatitude" -> {51, 54, Rational[147, 100]}, "GPSLongitudeRef" -> "W", "GPSLongitude" -> {8, 17, Rational[667, 20]}}}], Selectable->False], BaseStyle->"ImageGraphics", ImageSize->{83.03125, Automatic}, ImageSizeRaw->{320, 213}, PlotRange->{{0, 320}, {0, 213}}]\), r], {r, 0, 22, 2}]
 
When the picture gets too blurred, ImageIdentify no longer thinks it’s a cheetah:
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250, System`Convert`ExifDump`ReadFIDData[ InputStream[String, 4], {136, 0, 0, 0, 0}, True], "GPSLatitudeRef" -> "N", "GPSLatitude" -> {51, 54, Rational[147, 100]}, "GPSLongitudeRef" -> "W", "GPSLongitude" -> {8, 17, Rational[667, 20]}}}], Selectable->False], BaseStyle->"ImageGraphics", ImageSize->{83.03125, Automatic}, ImageSizeRaw->{320, 213}, PlotRange->{{0, 320}, {0, 213}}]\), r]], {r, 0, 22, 2}]
 
ImageIdentify normally just gives what it thinks is the most likely identification. You can tell it, though, to give a list of possible identifications, starting from the most likely. Here are the top 10 possible identifications, in all categories.
ImageIdentify thinks this might be a cheetah, but it’s more likely to be a wildcat, or it could be a baboon:
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