Day 13 Naive Bayes

Today, I dove into one of the oldest and surprisingly effective ML classifiers โ Naive Bayes.
๐น Itโs based on Bayesโ Theorem:
P(Class | Features) = [ P(Features | Class) ร P(Class) ] / P(Features)
๐น The โnaiveโ part? It assumes all features are independent โ rarely true in reality, but often good enough, especially for text classification.
Naive Bayes is like a doctor diagnosing a patient by looking at symptoms one at a time, assuming each symptom (like cough, fever, fatigue) occurs independently. In reality, symptoms often correlate โ but this simplified model still gets the diagnosis right surprisingly often.
๐ ๏ธ Common Use Cases
โ Spam Filtering
โ Text Classification
โ Intrusion Detection Systems (IDS)
๐ง Despite its simplicity, Naive Bayes performs surprisingly well โ particularly on high-dimensional datasets like emails and documents.
๐ง Limitations
Struggles with non-linear relationships or complex interactions between features.
Can be sensitive to skewed class distributions if not properly calibrated.
But that independence assumption? A sweet spot for attackers.
๐ Security Lens
โ ๏ธ Independence Assumption Abuse
Attackers inject correlated features to game the classifier. &#xNAN;Example: A spam email might include benign terms like โinvoiceโ or โteam updateโ to lower its spam score and evade detection.
โ ๏ธ Feature Poisoning
Adversaries inject mislabeled or crafted data into the training set to skew feature probabilities, corrupting the model's logic.
โ ๏ธ Privacy Leaks via Probabilistic Outputs
Naive Bayes outputs probabilities. Confidence scores can leak info about the training data, enabling membership inference attacks.
๐ Key References
Rubinstein et al. (2009) โ Privacy-Preserving Classification
Lowd & Meek (2005) โ Adversarial Learning in Naive Bayes Spam Filters
Biggio et al. (2013) โ Evasion Attacks against Machine Learning at Test Time
๐ฌ Question
How much do you trust simple models like Naive Bayes in high-stakes systems? Letโs discuss โ sometimes old tools still hold up, but only when you know their limits.
๐ Up next (Day 14): Support Vector Machines (SVM) โ and how attackers can shift the decision boundary to their advantage โ๏ธ
๐ Missed Day 12? Catch up here: https://lnkd.in/ghkbH6Nb
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