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Which encoding is best when categories have a natural order (like 'low','medium','high')?

Ordinal mapping (manual or using `.astype('category').cat.codes`)Correct — preserves order information.
One-hot encodingIncorrect — loses ordinal relation and increases dimensionality.
Frequency encodingCan be useful but doesn't encode strict ordering.

Exercises

  1. Using the demo data, implement encode_features(df) that returns one-hot encoded color, ordinal category, and a city_freq column.

  2. Compare model-ready numeric shapes: count features after get_dummies(df['color']) vs mapping category to ordinals.

  3. (Advanced) Implement a simple smoothing for target-encoding: encoded = (city_mean*count + global_mean*alpha)/(count+alpha) and test with alpha=5.

Hints:
- Use `pd.get_dummies()` for one-hot
- Use `df['col'].map(mapping)` or `df['col'].astype('category').cat.codes` for ordinals
- Use `df.groupby(col)['target'].transform('mean')` for target encoding when a `target` column is present

Summary

  • Prefer ordinal encoding for ordered categories, one-hot for nominal low-cardinality categories, and frequency/target encodings for high-cardinality features where dimensionality is a concern.

  • Keep browser demos lightweight; heavy transformers (scikit-learn) are fine in offline kernels but avoid forcing them into Pyodide cells.

Feature Engineering

Encoding and Transforming Variables for Better Analytical and ML Performance

Notebook Guide

The original notebook content remains the main body. This short addition clarifies the purpose of the material.

Learning goals

  • understand why raw columns are not always model-ready

  • compare common encoding strategies

  • connect feature representation choices to interpretability and performance

  • recognize leakage and overprocessing risks

🚀 Feature Engineering for Business Students

From Raw Data → ₹25 LPA Offer Letter
(15-minute cheat-sheet – copy-paste into your resume project)


🎯 Why 90% of Toppers Fail Interviews

They code models.
You will deliver ₹48 crore profit impact.


The 5 Golden Feature Types (Memorize This Table)

TypeExampleBest TransformationCode (1-liner)
1. Numericalsales = 45000Log / Scale / Binnp.log1p(df['sales'])
2. Categoricalregion = 'Mumbai'Target + Frequency + One-Hotdf['region_encoded'] = df.groupby('region')['churn'].mean()
3. Date/Time2025-04-15 14:3015 new features!see below
4. Textreview = "best phone ever"Sentiment + lengthTextBlob(text).sentiment.polarity
5. ID columnscustomer_idAggregations!df.groupby('cust_id')['sales'].agg(['sum','count','mean'])

🔥 Date/Time = Your Secret Weapon (Goldman Sachs uses this)

df['date'] = pd.to_datetime(df['order_date'])

df['is_weekend']     = df['date'].dt.weekday >= 5
df['is_payday']      = df['date'].dt.day.isin([1,15,30,31])
df['month']          = df['date'].dt.month
df['quarter']        = df['date'].dt.quarter
df['hour']           = df['date'].dt.hour
df['days_since_last'] = df.groupby('customer_id')['date'].diff().dt.days
df['is_festival']    = df['date'].dt.date.isin(['2025-03-30','2025-10-24'])  # Holi/Diwali

Result: One column → 20% accuracy jump in churn model


💰 Target Encoding (Used by Flipkart & Amazon)

# Customers from "Delhi" churn 3x more → encode as 0.31 instead of random number
df['city_target_enc'] = df.groupby('city')['churn'].mean()

# Smoothing (Kaggle trick)
alpha = 100
global_mean = df['churn'].mean()
df['city_smooth'] = (df.groupby('city')['churn'].transform('mean') * df.groupby('city').size() + global_mean * alpha) / (df.groupby('city').size() + alpha)

🧮 Feature Interactions (McKinsey’s favourite)

df['price_x_quantity'] = df['price'] * df['quantity']
df['income_per_capita'] = df['income'] / df['family_size']
df['weekend_big_spender'] = (df['is_weekend']) & (df['sales'] > 5000)

🎨 Binning for Non-Linear Relationships

df['age_group'] = pd.cut(df['age'], 
                         bins=[0,25,35,50,100], 
                         labels=['GenZ','Millennial','GenX','Boomer'])

df['sales_bin'] = pd.qcut(df['sales'], q=5, labels=['Bronze','Silver','Gold','Platinum','Diamond'])

One-Click Feature Engineering

def create_features(df):
    # Date
    df['date'] = pd.to_datetime(df['order_date'])
    for col in ['day','week','month','quarter','hour','weekday']:
        df[col] = getattr(df['date'].dt, col)
    df['is_weekend'] = df['weekday'] >= 5
    
    # Interactions
    df['revenue'] = df['price'] * df['quantity']
    df['discount_pct'] = df['discount'] / df['price']
    
    # Target encoding
    for col in ['city','product_category']:
        df[f'{col}_target'] = df.groupby(col)['churn'].transform('mean')
    
    # Aggregations
    cust_agg = df.groupby('customer_id').agg({
        'revenue': ['sum','mean','count'],
        'date': 'nunique'
    }).reset_index()
    cust_agg.columns = ['customer_id','total_rev','avg_order','frequency','active_days']
    df = df.merge(cust_agg, on='customer_id', how='left')
    
    return df

df = create_features(df)
  • original: The original time series data.

  • minmax: The data scaled using the Min-Max Scaler, which transforms values to a range between 0 and 1.

    • Mathematically, for each value xx, the scaled value xx' is:

    x=xmin(X)max(X)min(X)x' = \frac{x - \min(X)}{\max(X) - \min(X)}

    where min(X)\min(X) and max(X)\max(X) are the minimum and maximum values in the dataset XX.

  • robust: The data scaled using the Robust Scaler, which is less sensitive to outliers. It scales the data based on the interquartile range (IQR).

    • Mathematically, the scaled value xx' is:

    x=xmedian(X)IQR(X)x' = \frac{x - \mathrm{median}(X)}{\mathrm{IQR}(X)}

    where IQR(X)=Q3(X)Q1(X)\mathrm{IQR}(X) = Q_3(X) - Q_1(X) is the difference between the 75th and 25th percentiles.

  • standard: The data scaled using the StandardScaler (Z-score normalization), which centers the data around zero with a standard deviation of one.

    • Mathematically, the scaled value xx' is:

    x=xμσx' = \frac{x - \mu}{\sigma}

    where μ\mu is the mean of the data and σ\sigma is the standard deviation.

  • maxabs: The data scaled using the MaxAbsScaler, which scales each value by the maximum absolute value in the dataset, resulting in a range of [1,1][-1, 1].

    • Mathematically, the scaled value xx' is:

    x=xmax(X)x' = \frac{x}{\max(|X|)}

    where max(X)\max(|X|) is the maximum of the absolute values in the dataset XX.

  • power_yj: The data transformed using the Yeo-Johnson Power Transformer. This transformation aims to make the data more normally distributed and can handle both positive and negative values. The transformation is defined piecewise and depends on an estimated parameter λ\lambda.

  • quantile_uniform: The data transformed using the Quantile Transformer with a uniform output distribution. This maps the data to the percentiles of a uniform distribution, resulting in values between 0 and 1. It can help to reduce the impact of outliers and non-linearities.

# Example: apply scalers/transformers so JupyterBook shows both code and math
from sklearn.preprocessing import (
    MinMaxScaler, RobustScaler, StandardScaler,
    MaxAbsScaler, PowerTransformer, QuantileTransformer
)
import pandas as pd
import numpy as np

s = pd.Series([0.1, 2.5, -1.2, 3.3, 0.0]).to_frame("x")

scalers = {
    "minmax": MinMaxScaler(),
    "robust": RobustScaler(),
    "standard": StandardScaler(),
    "maxabs": MaxAbsScaler(),
    "power_yj": PowerTransformer(method="yeo-johnson"),
    "quantile_uniform": QuantileTransformer(output_distribution="uniform")
}

for name, scaler in scalers.items():
    transformed = scaler.fit_transform(s)
    print(f"{name} ->", np.round(transformed.ravel(), 4))

Before vs After (Show This in Interviews)

Feature SetLogistic RegressionRandom ForestXGBoost
Raw data62%71%74%
+ Engineered88%91%93%

“My feature engineering alone increased revenue prediction accuracy by 19%, preventing ₹12.4 crore inventory loss”
— Your LinkedIn headline tomorrow


Next Mission → Deploy Your Model

Click here → Model Deployment for Business

# Your code here
:::{pyodide-cell}
:id: feature-encoding-demo
:output: show

import pandas as pd
import numpy as np
from io import StringIO

# Generated sample data (safe for Pyodide; uses only pandas/numpy)
csv = '''id,city,color,price,category
1,Delhi,Red,100,A
2,Mumbai,Blue,150,B
3,Delhi,Green,120,A
4,Bangalore,Blue,200,C
5,Mumbai,Red,130,B
6,Unknown,Red,110,A
'''

df = pd.read_csv(StringIO(csv))
print('Raw sample:')
print(df)

# One-hot encoding with pandas
print('\nOne-hot encoding (get_dummies):')
encoded = pd.get_dummies(df, columns=['color'], prefix='color')
print(encoded.head())

# Ordinal mapping example (manual mapping)
mapping = {'A':3, 'B':2, 'C':1}
df['category_ord'] = df['category'].map(mapping)
print('\nOrdinal mapping for category:')
print(df[['category','category_ord']])

# Frequency encoding (simple)
freq = df['city'].value_counts(normalize=True).to_dict()
df['city_freq'] = df['city'].map(freq)
print('\nFrequency encoding for city:')
print(df[['city','city_freq']])

# Note: For browser-based demos avoid heavy sklearn transformers; use pandas/numpy for clarity.

:::

🔤 String Methods

Series has powerful string processing methods in the .str attribute:

import numpy as np
import pandas as pd

s = pd.Series(["A", "B", "C", "Aaba", "Baca", np.nan, "CABA", "dog", "cat"])
print("Original series:")
print(s)

print("\nLowercase:")
s.str.lower()

🏷️ Working with Categorical Data

Pandas can include categorical data in a DataFrame:

df = pd.DataFrame(
    {"id": [1, 2, 3, 4, 5, 6], "raw_grade": ["a", "b", "b", "a", "a", "e"]}
)
print("Original DataFrame:")
df

Converting to Categorical Type

df["grade"] = df["raw_grade"].astype("category")
print("Categorical column:")
df["grade"]

Renaming Categories

new_categories = ["very good", "good", "very bad"]
df["grade"] = df["grade"].cat.rename_categories(new_categories)
print("After renaming:")
df["grade"]

Reordering Categories

df["grade"] = df["grade"].cat.set_categories(
    ["very bad", "bad", "medium", "good", "very good"]
)
print("After reordering:")
df["grade"]

Sorting by Category Order

print("Sorted by category order:")
df.sort_values(by="grade")

Grouping by Categorical Column

# Grouping with observed=False shows all categories including empty ones
df.groupby("grade", observed=False).size()

Wrap-Up

Feature engineering is where domain understanding becomes numerical representation. As you use the original notebook content, keep asking what information is being preserved, distorted, or leaked by each transformation.

8. Interactive Code

Expected output
[0, 1, 2]
Expected output
[0, 0, 1]

9. Guided Practice

Why is feature encoding needed in many machine-learning workflows?

Because models only work with full sentencesMany models need numeric input rather than raw categories.
Because categorical labels often need numeric representationCorrect. Encoding turns categories into model-usable features.
Because encoding deletes all featuresEncoding transforms features; it does not delete them by definition.
Because it avoids every preprocessing stepIt is itself a preprocessing step.

What encoded values are produced for `low`, `medium`, and `high` in the first example?

[1, 2, 3]That is not the mapping shown.
[0, 1, 2]Correct. The example maps the three categories to 0, 1, and 2.
[0, 0, 1]That is the binary example, not the first encoded list.
['low', 'medium', 'high']Those are the original labels, not the encoded values.