Wiki Article · Cinematic

Gradient Descent

Gradient descent machine learning aur optimization ka sabse fundamental algorithm hai — yeh woh…

Overview

Gradient Descent — Quick Facts

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Property: Detail

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Full Name: Gradient Descent (Steepest Descent)

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Category: Optimization Algorithm

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Domain: Machine Learning, Deep Learning,…

Topic 1

Infobox

📚 | Property | Detail | |---|---| | Full Name | Gradient Descent (Steepest Descent) | |…

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Itihaas (History)

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1847: Augustin-Louis Cauchy ne…

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1944–1950s: Numerical optimization…

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1951: Herbert Robbins aur Sutton…

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1960s: Frank Rosenblatt ne…

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Core Concept

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Tum ek pahaad par khade ho…

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Tumhara goal hai valley ke bottom…

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Andhera hai — tum pura landscape…

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Tum sirf apne pairo ke neeche…

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Mathematics (Simplified)

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1 variable function me: gradient =…

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Multiple variables me: gradient =…

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Agar w = 5: gradient = 2w = 10…

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Update: w = 5 − α · 10. Agar α =…

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Types of Gradient Descent

🔑 | Feature | Batch Gradient Descent | Stochastic Gradient Descent (SGD) | Mini-Batch…

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Gradient Descent Optimization Loop

✨ `mermaid flowchart TD INIT["Initialize Model\n(Random weights θ)"] EPOCH_START["Epoch…

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Learning Rate

🌟 Learning rate (α) gradient descent ka sabse important hyperparameter hai — yeh decide…

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Advanced Optimizers

🚀 Vanilla gradient descent ke improvements — "optimizers" jo faster convergence aur better…

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Challenges aur Problems

📚 1. Local Minima Problem: Loss function me multiple valleys (local minima) ho sakti hain.…

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Real-World Applications

💡 Neural Network Training Har neural network — CNN, RNN, Transformer, GAN — gradient…

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Best Practices

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Start with standard values: Adam…

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Learning rate finder use karo:…

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Warmup use karo Transformer…

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32–256 typical range hai — GPU…

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Beyond Gradient Descent

⭐ | Method | Type | How it Differs | Use Case | |---|---|---|---| | Newton's Method |…

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Limitations

🔑 1. Hyperparameter Sensitivity: Learning rate, batch size, optimizer choice — sab tune…

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quiz — Question 1

Gradient Descent ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Gradient Descent ka 'Full Name' kya hai?

Complete! 🎉

Gradient Descent Complete!

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