Function objective_function

mbd/notebooks/01_1d_demo.py:27–43

Define the objective function J(x) with multiple local minima. Args: x: Input values Returns: Objective function values

(x)

# %%
def objective_function(x):
    """
    Define the objective function J(x) with multiple local minima.

    Args:
        x: Input values

    Returns:
        Objective function values
    """
    # Main objective component (double-well potential)
    y = 1.0 * ((x**4 - 0.5) ** 2)

    # Add sinusoidal perturbation for multiple local minima
    y = y + np.sin(2 * np.pi * 10.0 * x) * 0.04

    return y


# %% [markdown]