library: libMLP #include "TNeuron.h"

# TNeuron

class description - source file - inheritance tree (.ps)

## class TNeuron : public TObject

| Inheritance Chart:

`TObject`

<-

`TNeuron`

        protected:

              void AddPost(TSynapse*)
              void AddPre(TSynapse*)
          Double_t DSigmoid(Double_t x) const
          Double_t Sigmoid(Double_t x) const

        public:

                          TNeuron(TNeuron::NeuronType type = kSigmoid)
                  virtual ~TNeuron()
           static TClass* Class()
                     void ForceExternalValue(Double_t value)
                 Double_t GetBranch() const
                 Double_t GetDeDw() const
                 Double_t GetDEDw() const
                 Double_t GetDerivative() const
                 Double_t GetError() const
          const Double_t* GetNormalisation() const
                TSynapse* GetPost(Int_t n) const
                TSynapse* GetPre(Int_t n) const
                 Double_t GetValue() const
                 Double_t GetWeight() const
          virtual TClass* IsA() const
                     void SetDEDw(Double_t in)
                     void SetNewEvent() const
                     void SetNormalisation(Double_t mean, Double_t RMS)
                     void SetWeight(Double_t w)
             virtual void ShowMembers(TMemberInspector& insp, char* parent)
             virtual void Streamer(TBuffer& b)
                     void StreamerNVirtual(TBuffer& b)
            TTreeFormula* UseBranch(TTree*, const char*)

### Data Members

        private:

                    TObjArray fpre         pointers to the previous level in a network
                    TObjArray fpost        pointers to the next level in a network
                     Double_t fWeight      weight used for computation
                     Double_t fNorm[2]     normalisation to mean=0, RMS=1.
          TNeuron::NeuronType fType        neuron type
                TTreeFormula* fFormula     ! formula to be used for inputs and outputs
                       Bool_t fNewValue    ! do we need to compute fValue again ?
                     Double_t fValue       ! buffer containing the last neuron output
                       Bool_t fNewDeriv    ! do we need to compute fDerivative again ?
                     Double_t fDerivative  ! buffer containing the last neuron derivative
                       Bool_t fNewDeDw     ! do we need to compute fDeDw again ?
                     Double_t fDeDw        ! buffer containing the last derivative of the error
                     Double_t fDEDw        ! buffer containing the sum over all examples of DeDw

        public:

          static const TNeuron::NeuronType kOff
          static const TNeuron::NeuronType kLinear
          static const TNeuron::NeuronType kSigmoid
          static const TNeuron::NeuronType kTanh
          static const TNeuron::NeuronType kGauss

## Class Description

     TNeuron

     This class decribes an elementary neuron, which is the basic
     element for a Neural Network.
     A network is built connecting neurons by synapses.
     There are different types of neurons: linear (a+bx),
     sigmoid (1/(1+exp(-x)), tanh or gaussian.
     In a Multi Layer Perceptron, the input layer is made of
     inactive neurons (returning the normalized input), hidden layers
     are made of sigmoids and output neurons are linear.

     This implementation contains several methods to compute the value,
     the derivative, the DeDw, ...
     Values are stored in local buffers. The SetNewEvent() method is
     there to inform buffered values are outdated.

TNeuron(TNeuron::NeuronType type)

     Usual constructor

Double_t Sigmoid(Double_t x) const

     The Sigmoid.
     Fast computation of the values of the sigmoid function.
     Uses values of the function up  to the seventh order
     tabulated at 700 points.
     Values were computed in long double precision (16 bytes,
     precision to about 37 digits) on a hp computer.
     Some values were checked with Mathematica.
     Result should be correct to ~ 15 digits (about double
     precision)

     From the mlpfit package (J.Schwindling   20-Jul-1999)

Double_t DSigmoid(Double_t x) const

     The Derivative of the Sigmoid.

void AddPre(TSynapse * pre)

     Adds a synapse to the neuron as an input
     This method is used by the TSynapse while
     connecting two neurons.

void AddPost(TSynapse * post)

     Adds a synapse to the neuron as an output
     This method is used by the TSynapse while
     connecting two neurons.

TTreeFormula* UseBranch(TTree* input, const char* formula)

     Sets a formula that can be used to make the neuron an input.
     The formula is automatically normalized to mean=0, RMS=1.
     This normalisation is used by GetValue() (input neurons)
     and GetError() (output neurons)

Double_t GetBranch() const

     Returns the formula value.

Double_t GetValue() const

     Computes the output using the appropriate function and all
     the weighted inputs, or uses the branch as input.
     In that case, the branch normalisation is also used.

Double_t GetDerivative() const

     computes the derivative for the appropriate function
     at the working point

Double_t GetError() const

     Computes the error for output neurons.
     Returns 0 for other neurons.

Double_t GetDeDw() const

     Computes the derivative of the error wrt the neuron weight.

void ForceExternalValue(Double_t value)

     Uses the branch type to force an external value.

void SetNormalisation(Double_t mean, Double_t RMS)

     Sets the normalization variables.
     Any input neuron will return (branch-mean)/RMS.
     When UseBranch is called, mean and RMS are automatically set
     to the actual branch mean and RMS.

void SetWeight(Double_t w)

     Sets the neuron weight to w.
     The neuron weight corresponds to the bias in the
     linear combination of the inputs.

void SetNewEvent() const

     Inform the neuron that inputs of the network have changed,
     so that the buffered values have to be recomputed.

void SetDEDw(Double_t in)

     Sets the derivative of the total error wrt the neuron weight.

### Inline Functions

                       void ~TNeuron()
                  TSynapse* GetPre(Int_t n) const
                  TSynapse* GetPost(Int_t n) const
                   Double_t GetWeight() const
            const Double_t* GetNormalisation() const
                   Double_t GetDEDw() const
                    TClass* Class()
                    TClass* IsA() const
                       void ShowMembers(TMemberInspector& insp, char* parent)
                       void Streamer(TBuffer& b)
                       void StreamerNVirtual(TBuffer& b)

Author: Christophe.Delaere@cern.ch 20/07/03
Last update: root/mlp:$Name: $:$Id: TNeuron.cxx,v 1.11 2004/05/26 12:30:31 brun Exp $