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International Journal of Trend in Scientific Research and Development (IJTSRD) @ www.ijtsrd.com eISSN: 2456-6470
               Model  Structure:  The  model  architecture  follows  a   3.  Recall:
                standard CNN design with multiple layers:         Recall  measures  the  proportion  of  true  positive
                                                                   predictions  out  of  all  actual  positive  cases  (genuine
             1.  Input Layer:
                                                                   counterfeit logos).
             The resized and normalized image is passed into the model
             as input.                                            Formula:  Recall=True  PositivesTrue  Positives+False
                                                                   Negatives\text{Recall}   =     \frac{\text{True
             2.  Convolutional Layers:                             Positives}}{\text{True   Positives}   +   \text{False
             These  layers  apply  filters  to  the  input  image  to  extract   Negatives}}Recall=True Positives+False NegativesTrue
             essential features such as edges, textures, and patterns that   Positives
             help  distinguish  between  authentic  and  fake  logos.  The
             convolution operation applies a filter over the image and   4.  F1-Score:
             generates feature maps.                              The  F1-score  is  the  harmonic  mean  of  precision  and
                                                                   recall,  providing  a  single  score  that  balances  both
             3.  Pooling Layers:                                   metrics.
             After convolution, pooling (usually max pooling) is used to
             down-sample the image and reduce the dimensionality while     Formula:                         F1-
             retaining important features. This also helps make the model   Score=2×Precision×RecallPrecision+Recall\text{F1-
             more robust to slight changes in the image.           Score}  =  2  \times  \frac{\text{Precision}  \times
                                                                   \text{Recall}}{\text{Precision}  +  \text{Recall}}F1-
             4.  Fully Connected Layers:
                                                                   Score=2×Precision+RecallPrecision×Recall
             These are dense layers that connect every neuron to every
             other neuron in the next layer. They help the model combine   5.  Confusion Matrix:
             the extracted features and make a decision about whether     A confusion matrix is used to visualize the performance
             the logo is authentic or fake.                        of the model in terms of true positives, false positives,
                                                                   true negatives, and false negatives. This matrix helps
             5.  Output Layer:                                     identify how often the model is making mistakes and in
             The final output layer has two nodes: one for authentic logos
                                                                   what categories.
             and one for counterfeit logos. A softmax activation function
             is used here to output probabilities, indicating the likelihood   6.  ROC Curve and AUC:
             that a given image belongs to either of the classes.     The Receiver Operating Characteristic (ROC) curve
                                                                   plots the true positive rate against the false positive rate
               Loss Function:                                     at various thresholds. The Area Under the Curve (AUC)
             For multi-class classification, the categorical cross-entropy   provides an aggregate measure of the model’s ability to
             loss is used to calculate the difference between the predicted   distinguish between classes.
             probabilities and the actual class labels.
                                                                Result Analysis
               Optimizer:                                      Once the model is trained and tested, its performance will be
             The Adam optimizer is commonly used for CNNs because it   analyzed by reviewing the following:
             adapts the learning rate during training and helps achieve
             faster convergence with minimal adjustments to the learning   1.  Accuracy Results:
             rate.                                                This will show how effective the model is at classifying
                                                                   logos correctly. A high accuracy means the model can
             Performance Evaluation
                                                                   successfully identify authentic and counterfeit logos.
             After  training  the  model,  it's  essential  to  evaluate  its
             performance. Evaluation metrics help determine how well   2.  Error Analysis:
             the  model  generalizes  and  whether  it's  suitable  for  real-    An analysis of the types of errors the model makes. For
             world applications. Below are the metrics that will be used   instance, whether it is consistently misclassifying logos
             for evaluating the performance of the fake logo detection   from certain brands or having issues with logos that are
             system:                                               very similar in design.
             1.  Accuracy:                                      3.  False Positive and False Negative Rates:
               Measures the percentage of correct predictions made by     Low false positive and false negative rates indicate a
                the model.                                         good model that can accurately differentiate between
                                                                   fake and real logos.
               Formula: Accuracy=Number of Correct PredictionsTotal
                Predictions\text{Accuracy}  =  \frac{\text{Number  of   4.  Comparison with Existing Models:
                Correct                 Predictions}}{\text{Total     Results  will  be  compared  to  existing  logo  detection
                Predictions}}Accuracy=Total  PredictionsNumber  of   systems or traditional methods to determine whether
                Correct Predictions                                the  proposed  approach  performs  better  in  terms  of
                                                                   accuracy, speed, and robustness.
             2.  Precision:
               Precision  measures  the  proportion  of  true  positive   Conclusion
                predictions (correctly identified counterfeit logos) out of   The proposed Fake Logo Detection System uses AI and web
                all predicted positive cases.                   scraping  techniques  to  automatically  detect  counterfeit
                                                                logos.  By  leveraging  deep  learning  models,  especially
               Formula: Precision=True PositivesTrue Positives+False
                                                                Convolutional  Neural  Networks  (CNNs),  the  system  can
                Positives\text{Precision}   =   \frac{\text{True
                                                                analyze  and  classify  logos  based  on  their  visual  features.
                Positives}}{\text{True   Positives}   +   \text{False
                                                                Through  rigorous  data  pre-processing,  such  as  resizing,
                Positives}}Precision=True Positives+False PositivesTrue
                                                                normalization, and augmentation, the model can handle a
                Positives
                                                                wide variety of logo images, even from different sources.
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