This project demonstrates how multiclass classification works in a neural network, and how it is different from a regular MLP that only performs binary discrimination. This project is an interactive tutorial. Please open the code and read through the comments as you click on every script to see how it works!
Instead of a single output neuron, the output layer of a multiclass classification neural network has one neuron per class. The expected target value therefore has to be a vector of all zeros with the index of the expected class activated to 1. For this there is a "vectorize (number)" function.
In order to generate an output vector that can be diffed with the target vector the output layer's response is not activated with sigmoid (or anything else) per neuron, but the whole output vector is instead activated with the softmax function, which answers a probability distribution and sums up all neurons to 1.
When using a mutliclass neural network for classifying the output vector is scanned for the index of the greatest probability. That index represents the class.data:image/png;base64,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This project demonstrates how multiclass classification works in a neural network, and how it is different from a regular MLP that only performs binary discrimination. This project is an interactive tutorial. Please open the code and read through the comments as you click on every script to see how it works!
Instead of a single output neuron, the output layer of a multiclass classification neural network has one neuron per class. The expected target value therefore has to be a vector of all zeros with the index of the expected class activated to 1. For this there is a "vectorize (number)" function.
In order to generate an output vector that can be diffed with the target vector the output layer's response is not activated with sigmoid (or anything else) per neuron, but the whole output vector is instead activated with the softmax function, which answers a probability distribution and sums up all neurons to 1.
When using a mutliclass neural network for classifying the output vector is scanned for the index of the greatest probability. That index represents the class. reportAttributeOf reportJSFunctiondraw a list of numbers as vertical lines distributed evenly across the stage.de:male Balken _ _
ca:dibuixa amb barres _ _
0.8
0
1posslicepen size2Draw a picture of the specified model of a neural network where each layer is represented as a vertical line of dots and each weight as a line between 2 neuron-dots. The line width represents the weight's absolute value, negative values can be rendered in another color.de:male neurales Modell _ _
ca:renderitza el model neuronal _ _
1
1
rgba(214,49,0,255)false100Report a copy of the given table in which the numerical data of each column is distributed between 0 and 1 using the column's min and max values (feature scaling).de:normalisiere Tabelle _
ca:_ normalitzada
Report a function (ring) that can be called with a single row (record) in the form of the given data set to normalize it using the sample's min and max values. Use this reporter to create a normalization function from a training set that can be applied to validation or live data.de:Normalisierung für Tabelle _
ca:normalització per a la taula _
Split a table into 2 sets by randomly assigning its rows to each partition at the given ratio while making sure that every category (as indicated by the tag in the last column) is represented equally in both sets, reports a 2-item list containing the shuffled and split data. Use this block to create training and validation data sets.de:teile Tabelle _ im Verhältnis _
ca:partició de _ per _
0.8each groupeachGenerate a new block in the sensing category that either reports the class of a given sample data record (for the the "classifier" option) or whether a given sample data record classifies as the given tag (name) based on an example dataset (for the "predicate" option) in the form of a binary truth table. The generated predicate block offers its estimated accuracy in its help screen / comment and can then be exported and shared.
By default training happens all automatically using a neural network with one hidden layer, observing the learning progress and partitioning the dataset internally into a training set and validation set. Optionally you can specify an exact number of epochs (0 = automatic), a partitioning fraction (0 = automatic, 1 = none), and none to 8 hidden layers with arbitrary neurons (0 = no hidden layers).
You can abort / shorten the training process manually by positioning the mouse pointer near the stage center and pressing the mouse button down.
Running the command again updates any previously generated block, i.e. you can optimize existing blocks by re-training them with different parameters.de:generiere _ für _ in _ _
$_predicate$_predicate=$_predicate
$_classifier=$_classifier$_tag§_dynamicMenu$_auto
0.8
$_autoclassifierclasspredicate01de:klone _ _
ca:clon _ _
$_field
$_thing11de:Objekt _
ca:objecte _
$_field
$_thing111logitstopologyset learning ratealphapredictsampleclassify1outputsamplefitnerrordeltai1layersampletrainsetvalidatesetget modelweightsset model1logitsmodelshuffleget topology2weights111weightsversion1_Layer_inputsthingweightsthingsetupinoutsolvesamplelearnerrorreshuffledeltathingadjust weightslearning rate0.1activationCreate and report a new neural network with the specified topology representing the number of inputs, arbitrary hidden layers, and output(s).de:neues neuronales Netzwerk _
ca:nova xarxa neuronal _
5
1de:generiere Prädikat für _ in _ _
$_tag§_dynamicMenu$_auto
0.8
$_autovar name_AI: var getterai1var_declare(scope, name)global1initsample2222133234231norm22labelide_translate(text)is _?def1txt_transform(name, txt)selectclassifycommentpredict whether the data sample classifies as , estimated accuracy: 210001099.9%.old301$_auto
0.8
$_autotopology123auto303.25aiepochs0donefalselastlogscale110rendererflat linestruereadout1100010%accuracyreadout100010%Train a single epoch or validate a neural model on a truth-table dataset (a list of number-vectors with the expected classification in the last column).
For "train" this reports the accumulated activation error over the epoch.
For "validate" this reports the overall classification accuracy of the dataset.
For "confusion matrix" this reports an aggregated binary error table in the form:
TP, FP
FN, TNde:_ Netzwerk _ mit _
ca:_ xarxa _ amb _
$_traintrain=$_train
validate=$_validate
~
confusion matrix=$_confusion matrixPredict and report the classification of a given data sample - a list of numbers representing a single record in a dataset - using the specified neural network instance. The result is a list of numbers representing the neural network's output layer.
The "classify" selector reports the absolute classification, "predict" reports the unrounded output of the forward pass, letting you determine the neural network's confidence.de:_ _ mit Netzwerk _
ca:_ _ amb la xarxa _
$_classifyclassify=$_classify
predict=$_predictQuery the model or the learning rate of a given neural network.
For "model" this reports a list of weight-matrices representing the neural network's hidden and output layers. Models can be exported and shared among projects.
For "learning rate" this reports a single number representing the neural network's eagerness to adjust its weights when learning.de:_ von Netzwerk _
ca:_ de la xarxa _
$_get modelget model=$_get model
get learning rate=$_get learning rate
get topology=$_get topologyAssign a pre-trained model to the given neural network or change its learning rate.de:_ von Netzwerk _ auf _
ca:_ de la xarxa _ a _
$_set modelset model=$_set model
set learning rate=$_set learning ratede:blockifiziere _
de:generiere Prädikat für _ in _ _
$_tag§_dynamicMenu$_auto
0.8
$_auto1initsample2222133234231norm22labelide_translate(text)of _deftxt_transform(name, txt)selectclassifycommentpredict the data sample's , estimated accuracy: 210001099.9%.old2classCreate and report a new sprite that can serve as a layer in a neural network of sprites. It responds to 3 events / methods:
1) setup
Initializes the layer with a list of 2 numbers representing the number of inputs and the number of desired output neurons.
2) predict
Reports the result of a forward pass of a single sample / record with the precision of the activation function, i.e. not rounded for classification. If you wish to use this answer to classify the record you must also sum and round the list of results.
3) learn
Adjusts the layer's weights depending on the given delta vector and reports a new delta vector to be backpropagated to the previous layer, if any.
You can either use a single sprite as a SLP (perceptron), or clone it several time to create additional hidden layers for a deep neural network by using a forward PIPE for prediction and a backward PIPE for learning.de:neues Perzeptron Objekt
var_declare(scope, name)globallearning ratelearning ratevalidcount100500pt:executa no modo turbo _
pt:as amostras de som com _ Hz de _ s amostrado a _ Hz
ca:_ Hz durant _ segons amb mostreig de _ Hz
pl:_ Hz przez _ s przy częstotliwości _ Hz
440a 55=55
a 110=110
a 220=220
a 440=440
a 880=880
a 1760=1760
a 3520=352014410022.05 kHz=22050
44.1 kHz=44100
88.2 kHz=88200
96 kHz=96000pt:π
pt:_ radianos em graus
ca:graus de _ radiants
pl:stopnie _
0.5pt:o som _
ca:so de nom _
pl:dźwięk o nazwie _
§_soundsMenuquickly plot the samples of a sound, a list of samples (single channel), or a list of lists (multiple channels) to the stage at a lower resolution.pt:desenha o gráfico do som _
ca:dibuixa el so _
pl:wykres dźwięku _
§_soundsMenu1offset-2records an audio snippet and reports it as a new sound, or zero if the user cancelspt:$circleSolid-1-255-0-0 uma nova gravação
ca:$circleSolid-1-255-0-0 enregistra
pl:$circleSolid-1-255-0-0 nagranie
pt:a nota com _ Hz
ca:nota de _ Hz
pl:nuta z _ Hz
440pt:a frequência da nota _
ca:freqüència (hz) de la nota _
pl:częstotliwość z nuty _
69pt:o nome da nota _
ca:nom de la nota _
pl:nazwa nuty _
69pl:zanikanie _ przez _
de:stauche _ um _
pl:rozciągnij _ o _
de:strecke _ um _
returns a frequency analysis of the argument list, represented as a two-column table, where the first column contains the unique values and the second column their occurrencespt:$flash as frequências dos itens de _
ca:$flash analitza _
pl:$flash analizuj _
pt:o agrupamento dos itens de _ de acordo com _
ca:$flash agrupa _ per _
pl:$flash grupuj _ według _
pt:uma ordenação de _ com critério _
ca:$flash ordena _ per _
pl:$flash sortuj _ według _
pt:o histograma de _ entre _ e _ com intervalo _
ca:histograma de _ des de: _ fins: _ interval: _
pl:wykres _ od: _ do: _ odstęp: _
1pt:o histograma de _ agrupado de acordo com _ entre _ e _ com passo _
ca:histograma de _ agrupat per: _ des de: _ fins: _ interval: _
pl:wykres _ pogrupowany według: _ od: _ do: _ odstęp: _
add missing entries to a sorted list. Used for histogramspt:os itens de _ com a chave _ entre _ e _ com passo _ completados por _
ca:omple _ clau: _ des de: _ fins: _ interval: _ amplada: _
pl:wypełnij _ klucz: _ od: _ do: _ odstęp: _ z: _
11pt:_ em minúsculas
ca:_ $arrowRight minúscules
pl:_ $arrowRight małe litery
pt:desenha gráfico de barras de _ em (x: _ , y: _ ) com largura _ e altura _
ca:dibuixa _ _ a x: _ y: _ i ample: _ alçada: _
pl:wykres _ _ x: _ y: _ szerokość: _ wysokość: _
barsbars
lines
pie chart-200-10040020022100startsettingratio1step2lines400702Accepts any number of scripts as inputs. Launches a separate thread for each of them, so they are done in parallel, then waits for them all to complete.
This doesn't change how the Snap! scheduler works; the threads are not truly asynchronous. And there is no increase in speed. Rather, the point of this block is to allow starting synchronized but independent scripts.pt:executa _ em paralelo e espera
ca:executa en paral·lel _ i espera
pl:wykonaj równolegle _ i czekaj
each scripttestAccepts any number of scripts as inputs. Launches a separate thread for each of them, so they are done in parallel, then continues with the current script while they all run.
This doesn't change how the Snap! scheduler works; the threads are not truly asynchronous. And there is no increase in speed. Rather, the point of this block is to allow starting synchronized but independent scripts.pt:executa _ em paralelo
ca:executa en paral·lel _
pl:wykonaj równolegle _
100450704002804002100predicted stageposslicepen 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Layer:
Hidden layers are the same in a mutliclass neural network as in a binary discrimatory 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Layer:
The output layer of a multiclass neural network is essentially the same as any other layer inside a classic MLP, except that it replaces the activation function with softmax.This project was provided by jens as a multiclass classification tutorial. I have modified it a bit.
I am interested in the learning of children aged 4 to 10+. Ever since Jens said they were "trying to find a pedagogical entry point into all of this" (Sept 3, 2025) I have been thinking about ways to do this for children. I decided to have them build a neural network model that can classify three sounds (as a part of a larger project). One of my requirements was that the classification ALWAYS works, no matter what whacky sounds they might throw at it. Over time, I realized that instead of using the samples of the sound, the SPECTRUM might be more useful in this situation. I was correct. It contains enormous amounts of information about the sound samples and has not failed me in identifying even the most siubtle differences in sound sources. It even sorts pitch and volume differences of the same source of sound. This is an example of a work in progress project that demonstrates how this works. Forgive the messy disorganized coding. And also the lack of a user interface (at the moment)The comments mostly come from the original tutorial file provided by jens
This project demonstrates how multiclass classification works in a neural network, and how it is different from a regular MLP that only performs binary discrimination. This project is an interactive tutorial. Please open the code and read through the comments as you click on every script to see how it works!
Instead of a single output neuron, the output layer of a multiclass classification neural network has one neuron per class. The expected target value therefore has to be a vector of all zeros with the index of the expected class activated to 1. For this there is a "vectorize (number)" function.
In order to generate an output vector that can be diffed with the target vector the output layer's response is not activated with sigmoid (or anything else) per neuron, but the whole output vector is instead activated with the softmax function, which answers a probability distribution and sums up all neurons to 1.
When using a mutliclass neural network for classifying the output vector is scanned for the index of the greatest probability. That index represents the class.Record your sounds using these blocks. You get 2 seconds to get ready. Continue recording until done (it used to have a countdown and say "done" but that was causing some trouble)prepare data for using in modelling0.5split the data seit in two parts, one for training the neural network, the other one to validate it latertagsthe last column contains the tags for the soundsclassesfeatures1only the columns containing the features get normalized (feature-scaling)normalizethe normalization function gets stored so it can be applied to "real" (validation) records in the futuredata1after normalization the last column is again added to the data set, the former tags are replaced by integers that represent the class, i.e. the position of the tag in the list of 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