6 Questions
What is the activation function used in the described single neuron?
Sigmoid function: $f(z) = \frac{1}{1 + e^{-z}}$
What does the single neuron's output function $h_{W,b}(x)$ represent?
The hypothesis defined by logistic regression
In the context of neural networks, what do the parameters W and b represent in the function $h_{W,b}(x)$?
Weights and bias of the neuron
What type of learning problem is considered when labeled training examples (x^{(i)}, y^{(i)}) are available?
Supervised learning
What does the function $f : ext{ℝ} o ext{ℝ}$ represent in the context of the single neuron?
The activation function mapping real numbers to real numbers
What is the activation function chosen for the single neuron described in the text?
Sigmoid function
Study Notes
Single Neuron
- The activation function used in the described single neuron is sigmoid.
- The single neuron's output function $h_{W,b}(x)$ represents the output of the neuron, which is a probability of the input $x$ being in a particular class.
Parameters in Neural Networks
- The parameters W and b in the function $h_{W,b}(x)$ represent the weights and bias of the neuron, respectively.
Learning Problem
- When labeled training examples (x^{(i)}, y^{(i)}) are available, it is considered a supervised learning problem.
Activation Function
- The function $f : ℝ → ℝ$ represents the activation function, which is chosen to be sigmoid for the single neuron described in the text.
- The sigmoid function maps the input to a value between 0 and 1, allowing the neuron to make predictions based on the input.
Test your knowledge on unsupervised feature learning and deep learning with this tutorial quiz. Delve into the concepts of supervised learning, labeled training examples, neural network hypotheses, and parameters. Enhance your understanding of complex, non-linear forms of hypotheses and how they are fitted to data.
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