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Pradeep Singh IAS Rank 1: Farmer’s Son became UPSC Topper

A Journey of Perseverance and Purpose In the realm of India's civil services, few stories resonate as profoundly as that of Pradeep Singh IAS. Securing...
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Shubham Kumar IAS Rank 1: From Rural Bihar to UPSC Topper

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Shruti Sharma IAS: History Enthusiast to UPSC Topper

A Tale of Perseverance and Purpose In the realm of India's civil services, few stories resonate as profoundly as that of Shruti Sharma IAS. Securing...
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Ishita Kishore IAS: From Corporate to UPSC Rank 1

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Optimization Techniques in Quantum Machine Learning: SPSA, COBYLA, and Beyond

Table of Contents Introduction Role of Optimization in Quantum Machine Learning Gradient-Based vs Gradient-Free Methods Stochastic Gradient Descent (SGD) Adam Optimizer Simultaneous Perturbation Stochastic Approximation (SPSA) SPSA: Algorithm and Use Cases SPSA...

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Backpropagation with Parameter-Shift Rule in Quantum Models

Table of Contents Introduction Need for Gradients in Quantum ML Variational Quantum Circuits and Training Limitations of Classical Backpropagation The Parameter-Shift Rule: Core Concept Mathematical Derivation Conditions for Using Parameter-Shift Rule General...

Training Quantum Models: Optimizing Parameters for Quantum Machine Learning

Table of Contents Introduction What Does Training Mean in Quantum ML? Variational Quantum Circuits (VQCs) as Models Cost Functions and Objective Definitions Forward Pass: Circuit Evaluation Measurement and Output Processing Gradient...

Cost Functions for Quantum Models: Measuring Performance in Quantum Machine Learning

Table of Contents Introduction Role of Cost Functions in QML Characteristics of a Good Cost Function Cost Functions for Classification Binary Cross-Entropy Loss Mean Squared Error (MSE) Hinge Loss for Margin-Based...

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