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BLOGS


Gradient Boosting For Classification - 2
Gradient boosting shines in classification, combining weak learners like decision trees into a powerful model. By iteratively minimizing log loss, it corrects errors, excelling with imbalanced data and complex patterns. Tools like XGBoost and LightGBM offer flexibility via hyperparameters, making gradient boosting a top choice for data scientists tackling real-world classification tasks.

Aryan
Jun 254 min read
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Gradient Boosting For Classification - 1
Discover how Gradient Boosting builds powerful classifiers by turning weak learners into strong ones, step by step. From boosting logic to practical implementation, this blog walks you through an intuitive, beginner-friendly path using real-world data.

Aryan
Jun 208 min read
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Gradient Boosting For Regression - 2
Gradient Boosting is a powerful machine learning technique that builds strong models by combining weak learners. It minimizes errors using gradient descent and is widely used for accurate predictions in classification and regression tasks.

Aryan
May 316 min read
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Gradient Boosting For Regression - 1
Gradient Boosting is a powerful machine learning technique that builds strong models by combining many weak learners. It works by training each model to correct the errors of the previous one using gradient descent. Fast, accurate, and widely used in real-world applications, it’s a must-know for any data science enthusiast.

Aryan
May 296 min read
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Random Forest Part - 2
Why Ensemble Techniques Work: The "Wisdom of Crowds" Â Ensemble methods derive their power from the principle known as the "wisdom of...

Aryan
May 2513 min read
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Random Forest Part - 1
Introduction to Random Forest  Random Forest is a versatile and widely used machine learning algorithm that belongs to the class of...

Aryan
May 2510 min read
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DECISION TREES - 3
Decision trees measure feature importance via impurity reduction (e.g., Gini). Overfitting occurs when trees fit noise, not patterns. Pruning reduces complexity: pre-pruning uses max depth or min samples, while post-pruning, like cost complexity pruning, trims nodes after growth. These methods enhance generalization, improving performance on new data, making them vital for effective machine learning models.

Aryan
May 1711 min read
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DECISION TREES - 2
Dive into Decision Trees for Regression (CART), understanding its core mechanics for continuous target variables. This post covers how CART evaluates splits using Mean Squared Error (MSE), its geometric interpretation of creating axis-aligned regions, and the step-by-step process of making predictions for both regression and classification tasks. Discover its advantages in handling non-linear data and key disadvantages like overfitting, emphasizing the need for regularization

Aryan
May 179 min read
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DECISION TREES - 1
Discover the power of decision trees in machine learning. This post dives into their intuitive approach, versatility for classification and regression, and the CART algorithm. Learn how Gini impurity and splitting criteria partition data for accurate predictions. Perfect for data science enthusiasts !

Aryan
May 1613 min read
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Support Vector Machine (SVM) – Part 7
This blog demystifies how the RBF kernel in SVM creates highly adaptive, local decision boundaries by emphasizing similarity between nearby points. You'll understand the role of gamma, how the kernel's geometry defines regions of influence, and why RBF enables powerful non-linear classification by implicitly mapping data into infinite-dimensional space.

Aryan
May 87 min read
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Support Vector Machine (SVM) – Part 6
Dual Formulation in SVMs isn’t just a rewrite—it’s a revolution. It shifts the optimization game from weight space to α-space, focusing only on support vectors. We unpack how dual SVMs compute smarter, enable kernel tricks, and efficiently solve non-linear problems. This post breaks it all down—from dot products to RBFs—with clarity, code, and geometric insight.

Aryan
May 59 min read
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Support Vector Machine (SVM) – Part 5
Step beyond 2‑D lines into n‑D hyperplanes. This post walks you through soft‑margin SVMs, inequality‑constrained optimisation, KKT conditions, primal‑to‑dual conversion, and why only a handful of support vectors end up steering the whole classifier—your cheat‑sheet to scaling SVMs without losing your cool. 

Aryan
May 49 min read
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Support Vector Machine (SVM) – Part 4
From toy circles to cutting-edge classifiers, this post shows how Support Vector Machines harness constrained optimization: we chart contours, trace gradient vectors, and align them with Lagrange multipliers to see exactly how SVMs carve out the widest possible margin. Ready to bridge raw calculus and real-world margin magic ?

Aryan
May 28 min read
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Support Vector Machine (SVM) – Part 3
Support Vector Classifiers (SVCs) struggle when data isn’t linearly separable. The real-world isn’t clean, and straight-line boundaries fail. That’s where constrained optimization and the kernel trick step in—transforming SVC into full-blown SVMs capable of tackling nonlinear patterns with elegance and efficiency.

Aryan
Apr 3011 min read
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Support Vector Machine (SVM) – Part 2
Hard‑margin SVMs look clean on the whiteboard—huge margin, zero errors—but real‑world data laughs at that rigidity. Noise, overlap, and outliers wreck the ‘perfectly separable’ dream, leaving the model unsolvable. Cue slack variables: a pragmatic detour that births the soft‑margin SVM and keeps classification sane.

Aryan
Apr 289 min read
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Support Vector Machine (SVM) – Part 1
Discover the core idea of Hard Margin SVM — finding the hyperplane that perfectly separates two classes with the widest margin. With student placement data as an example, this blog explains support vectors, margin equations, and the math behind maximal margin classification. Learn how SVM makes decisions and why hard margin isn't always practical in real-world data.

Aryan
Apr 2610 min read
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Singular Value Decomposition (SVD)
Singular Value Decomposition (SVD) is a powerful matrix factorization technique used across machine learning, computer vision, and data science. From transforming non-square matrices to enabling PCA without explicitly computing the covariance matrix, SVD simplifies complex transformations into elegant geometric steps. This blog unpacks its meaning, mechanics, and visual intuition with real-world applications.

Aryan
Apr 218 min read
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LOGISTIC REGRESSION - 4
Logistic Regression isn’t just about predicting 0s and 1s—it’s a beautiful dance of probability and optimization. At its core lies Maximum Likelihood Estimation (MLE), the technique we use to tune our model’s parameters for the best fit. From Bernoulli assumptions to log-likelihood derivation, from sigmoid curves to regularization—this post walks you through how MLE powers logistic regression, one math step at a time.

Aryan
Apr 2014 min read
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LOGISTIC REGRESSION - 3
Logistic regression isn’t just about fitting curves—it’s about understanding how data speaks. This blog breaks down the difference between probability and likelihood with relatable examples and shows how these ideas power logistic regression and its MLE-based training.

Aryan
Apr 1914 min read
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LOGISTIC REGRESSION - 2
Explore how Logistic Regression extends to multi-class problems using One-vs-Rest (OvR) and Softmax Regression. Learn about coefficient updates with gradient descent, one-hot encoding, and categorical cross-entropy loss for accurate predictions.

Aryan
Apr 169 min read
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