Problem
An artificial neuron multiplies each input by a weight, adds a bias, and passes the result through an activation function:
z = x₁×w₁ + x₂×w₂ + … + xₙ×wₙ + bias
output = sigmoid(z) = 1 / (1 + e^(-z))
Implement neuron_output(inputs, weights, bias).
Input
inputs: The input values.
weights: One weight per input (same length as inputs).
bias: The neuron's bias.
Output
Return the neuron's output, a decimal number between 0 and 1.
Einschränkungen
1 ≤ length of inputs = length of weights ≤ 100
-10 ≤ each input, weight and bias ≤ 10
Beispiele
Eingabe:
bias = 0.5
inputs = [1.0, 2.0, 3.0]
weights = [0.2, 0.4, 0.6]
Erwartete Ausgabe:
expected = 0.964429
Eingabe:
double bias = 0.5;
std::vector<double> inputs = {1.0, 2.0, 3.0};
std::vector<double> weights = {0.2, 0.4, 0.6};
Erwartete Ausgabe:
double expected = 0.964429;
Eingabe:
double bias = 0.5;
double[] inputs = new double[] {1.0, 2.0, 3.0};
double[] weights = new double[] {0.2, 0.4, 0.6};
Erwartete Ausgabe:
double expected = 0.964429;
Erläuterung
z = 1×0.2 + 2×0.4 + 3×0.6 + 0.5 = 3.3, and sigmoid(3.3) ≈ 0.964429.
Eingabe:
bias = 0.0
inputs = [0.5, -1.0]
weights = [2.0, 1.0]
Erwartete Ausgabe:
expected = 0.5
Eingabe:
double bias = 0.0;
std::vector<double> inputs = {0.5, -1.0};
std::vector<double> weights = {2.0, 1.0};
Erwartete Ausgabe:
double expected = 0.5;
Eingabe:
double bias = 0.0;
double[] inputs = new double[] {0.5, -1.0};
double[] weights = new double[] {2.0, 1.0};
Erwartete Ausgabe:
double expected = 0.5;
Erläuterung
z = 0.5×2 + (-1)×1 + 0 = 0, and sigmoid(0) = 0.5: the neuron is exactly undecided.
So gehst du vor
Versuch es zuerst allein und öffne dann einen Hinweis nach dem anderen.
Hinweis 1
This is just a weighted sum of the inputs plus a bias, followed by one sigmoid.
Hinweis 2
Pair each input with its corresponding weight and accumulate the products before adding the bias.
Hinweis 3
Watch that the final output is passed through sigmoid, not returned as the raw sum.
Erwartete Komplexität
O(n) time, O(1) extra space
Referenzen
Diese Aufgabe wurde für CodeUtility angepasst. Beachte die oben genannten Vorgaben und Einschränkungen.