




'''simple docstring'''





import matplotlib.pyplot as plt
import numpy as np

def       UpperCAmelCase_							(   __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			float							)      ->				np.ndarray:
      SCREAMING_SNAKE_CASE_					=    len(__UpperCAmelCase							)  # Number of training samples
      SCREAMING_SNAKE_CASE_					=    np.eye(__UpperCAmelCase							)  # Initialize weights as identity matrix
      for j in range(__UpperCAmelCase							):
            SCREAMING_SNAKE_CASE_					=    point - x_train[j]
            SCREAMING_SNAKE_CASE_					=    np.exp(diff @ diff.T / (-2.0 * tau**2)							)

      return weights

def       UpperCAmelCase_							(   __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			float							)      ->				np.ndarray:
      SCREAMING_SNAKE_CASE_					=    weight_matrix(__UpperCAmelCase    ,    __UpperCAmelCase    ,    __UpperCAmelCase							)
      SCREAMING_SNAKE_CASE_					=    np.linalg.inv(x_train.T @ weight_mat @ x_train							) @ (
          x_train.T @ weight_mat @ y_train.T
      )

      return weight

def       UpperCAmelCase_							(   __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			float							)      ->				np.ndarray:
      SCREAMING_SNAKE_CASE_					=    np.zeros(len(__UpperCAmelCase							)							)  # Initialize array of predictions
      for i, item in enumerate(__UpperCAmelCase							):
            SCREAMING_SNAKE_CASE_					=    item @ local_weight(__UpperCAmelCase    ,    __UpperCAmelCase    ,    __UpperCAmelCase    ,    __UpperCAmelCase							)

      return y_pred

def       UpperCAmelCase_							(   __UpperCAmelCase		:			str    ,    __UpperCAmelCase		:			str    ,    __UpperCAmelCase		:			str							)      ->				tuple[np.ndarray, np.ndarray, np.ndarray]:
      import seaborn as sns

      SCREAMING_SNAKE_CASE_					=    sns.load_dataset(__UpperCAmelCase							)
      SCREAMING_SNAKE_CASE_					=    np.array(data[x_name]							)
      SCREAMING_SNAKE_CASE_					=    np.array(data[y_name]							)

      SCREAMING_SNAKE_CASE_					=    np.ones(len(__UpperCAmelCase							)							)

      # pairing elements of one and x_data
      SCREAMING_SNAKE_CASE_					=    np.column_stack((one, x_data)							)

      return x_train, x_data, y_data

def       UpperCAmelCase_							(   __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			np.ndarray    ,    __UpperCAmelCase		:			str    ,    __UpperCAmelCase		:			str    ,    )      ->				None:
      SCREAMING_SNAKE_CASE_					=    np.sort(__UpperCAmelCase    ,    axis=0							)
      plt.scatter(__UpperCAmelCase    ,    __UpperCAmelCase    ,    color='blue'							)
      plt.plot(
          x_train_sorted[:, 1]    ,    preds[x_train[:, 1].argsort(0							)]    ,    color='yellow'    ,    linewidth=5    ,    )
      plt.title('Local Weighted Regression'							)
      plt.xlabel(__UpperCAmelCase							)
      plt.ylabel(__UpperCAmelCase							)
      plt.show()


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   # Demo with a dataset from the seaborn module
   lowerCamelCase__				:     Union[str, Any]			       =							load_data('tips', 'total_bill', 'tip')
   lowerCamelCase__				:     str			       =							local_weight_regression(training_data_x, tip, 5)
   plot_preds(training_data_x, predictions, total_bill, tip, 'total_bill', 'tip')





def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 9 / 5) + 32    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round(float(__UpperCAmelCase							) + 2_7_3.1_5    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 9 / 5) + 4_9_1.6_7    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) - 32) * 5 / 9    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round(((float(__UpperCAmelCase							) - 32) * 5 / 9) + 2_7_3.1_5    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round(float(__UpperCAmelCase							) + 4_5_9.6_7    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round(float(__UpperCAmelCase							) - 2_7_3.1_5    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round(((float(__UpperCAmelCase							) - 2_7_3.1_5) * 9 / 5) + 32    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 9 / 5)    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) - 4_9_1.6_7) * 5 / 9    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round(float(__UpperCAmelCase							) - 4_5_9.6_7    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 5 / 9)    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 1.2_5 + 2_7_3.1_5)    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 2.2_5 + 32)    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 1.2_5)    ,    __UpperCAmelCase							)

def       UpperCAmelCase_							(   __UpperCAmelCase		:			float    ,    __UpperCAmelCase		:			int = 2							)      ->				float:
      return round((float(__UpperCAmelCase							) * 2.2_5 + 32 + 4_5_9.6_7)    ,    __UpperCAmelCase							)


if __name__ == "__main__":
   import doctest

   doctest.testmod()