The training of my Neural Network (starting from scratch) results in a greater distance from the desired outcome.

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There could be several reasons why your neural network is not producing the desired outcome. Here are a few possible explanations:

1. Insufficient training data - Neural networks need large amounts of data to learn and identify patterns accurately. If the data provided is not sufficient, the network may not be able to generalize the patterns effectively.

2. Poor network architecture - The choice of neural network architecture can have a significant impact on its performance. If the network is not appropriately designed, it may not have the necessary capacity to learn complex relationships.

3. Incorrect hyperparameters - Hyperparameters such as learning rate, batch size, and regularization play a critical role in training neural networks. Incorrect parameter choices can lead to poor performance.

4. Overfitting - Neural networks can sometimes memorize the training data rather than learning general patterns. This is called overfitting and can lead to poor performance on unseen data.

5. Underfitting - On the other hand, if the neural network is not complex enough to capture the underlying patterns, it may result in underfitting.

To improve the performance of your neural network, you can try the following:

1. Increase the size and diversity of the training data.

2. Experiment with different network architectures and hyperparameters to find the optimal combination.

3. Regularize the network to prevent overfitting.

4. Train for more epochs to allow the network to generalize better.

5. Perform data preprocessing to eliminate noise and standardize input features.