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UPMENTA COURSES IMAGES (17)

Discover the math powering transformers, embeddings, and scalable AI models.

Days : Tue & Thu

Duration : 10 Hours

Timings: 8 - 10 PM IST

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1 Months

5 Hours

Tue & Thu

LLM AGI Maths

This is the most advanced module that explains the math used in Large Language Models (like GPT) and frontier AI systems. You’ll learn how attention works, how data is represented as embeddings, how neural networks approximate functions, and how scaling rules guide building larger models.

Online Live Instructor-Led Learning

10 Hours

8 - 10 PM IST

Tue & Thu

By end of this course

Get stronger in

Attention mechanisms and transformer math

Approximation and scaling law concepts

Get familier with

Embedding spaces and vector similarity

Information bottleneck representations

New Batch Starts : jan 2026

Limited seats only 15 students per batch

Who Should Enroll?

This course is for learners aiming to apply advanced mathematical concepts to large language models and generative AI, focusing on topics – transformers, embeddings, and sequence modeling for cutting-edge AI applications.

Prerequisites

Deep learning, optimization, and information theory mastery.

Experience our course risk-free

We offer a 15-day money back guarantee

Prerequisite

Deep learning, optimization, and information theory mastery.

Who Should Enroll?

This course is for learners aiming to apply advanced mathematical concepts to large language models and generative AI, focusing on topics - transformers, embeddings, and sequence modeling for cutting-edge AI applications.

By end of this course

Get Stronger in

  • Attention mechanisms and transformer math
  • Approximation and scaling law concepts

Get Familiar in

  • Embedding spaces and vector similarity
  • Information bottleneck representations

Course Contents

Day 1 - Attention & Transformers

What is covered: Mechanisms for focusing on important parts of data (self-attention).

Application: Large language models (GPT),
translation, summarization.

Example:
1. Chatbots: Transformers generate human-like responses by attending to relevant words.
2. Text Summarization: Focusing on key sentences to create summaries.

Day 2 - Embedding Spaces & Similarity

What is covered: Representing data as vectors, measuring similarity.

Application: Semantic search, recommendation systems. 

Example:
1.Search Engines: Finding similar documents using vector embeddings.
2.Product Recommendations: Suggesting items based on user preferences.

Day 3 - Approximation Theory


What is covered: Understanding how neural networks can approximate any function.

 

Application: Designing powerful models, theoretical ML research.

 

Example:
1. Universal Approximation: Proving that deep networks can learn complex patterns.
2. Model Scaling: Building larger models for better performance.

Day 4 - Information Bottleneck & Representation

What is covered: Compressing data while keeping important information.

Application: Efficient model design, interpretability.

Example:
1. Mobile AI Apps: Compressing models for faster inference on phones.
2. Feature Selection: Keeping only the most useful features for predictions.

Day 5 - Scaling Laws & Frontier Theories

What is covered: Mathematical rules for training large models efficiently.

Application: Building and training models like GPT-4.

Example:
1. GPT Training: Using scaling laws to decide how much data and compute is needed.
2. Efficient AI Research: Optimizing resources for state-of-the-art models.

Day 1 - Attention & Transformers

What is covered: Mechanisms for focusing on important parts of data (self-attention).

Application: Large language models (GPT),
translation, summarization.

Example:
1. Chatbots: Transformers generate human-like responses by attending to relevant words.
2. Text Summarization: Focusing on key sentences to create summaries.

Day 2 - Embedding Spaces & Similarity

What is covered: Representing data as vectors, measuring similarity.

Application: Semantic search, recommendation systems. 

Example:
1.Search Engines: Finding similar documents using vector embeddings.
2.Product Recommendations: Suggesting items based on user preferences.

Day 3 - Approximation Theory


What is covered: Understanding how neural networks can approximate any function.

 

Application: Designing powerful models, theoretical ML research.

 

Example:
1. Universal Approximation: Proving that deep networks can learn complex patterns.
2. Model Scaling: Building larger models for better performance.

Day 4 - Information Bottleneck & Representation

What is covered: Compressing data while keeping important information.

Application: Efficient model design, interpretability.

Example:
1. Mobile AI Apps: Compressing models for faster inference on phones.
2. Feature Selection: Keeping only the most useful features for predictions.

Day 5 - Scaling Laws & Frontier Theories

What is covered: Mathematical rules for training large models efficiently.

Application: Building and training models like GPT-4.

Example:
1. GPT Training: Using scaling laws to decide how much data and compute is needed.
2. Efficient AI Research: Optimizing resources for state-of-the-art models.

Phase 1: From Coders to Creators

Day 1 - Setup & Configuration

You’ll set up your professional coding environment by installing VS Code and Jupyter, introduce ChatGPT as a coding co-pilot, and learn to build effective prompts to generate code, establishing a productivity mindset for modern development.

Day 2 - Systems Thinking with Python

Learn to reframe coding as building blocks for real applications by working with CSV, JSON, and image datasets from relatable domains like YouTube, food, and books, developing a system-level thinking approach.

Day 3 - Functional Thinking, Decomposition

Master abstraction, reusability, and clarity in logic by breaking down real-world use cases like meal planners and birthday reminders into modular code components using functions, loops, and conditions.

Day 4 - Mini Project: "My Python Tool"

Build a functional CLI project such as a task tracker or GPA calculator, solving real-world problems like smart schedulers or basic calculators while developing ownership and confidence in your coding abilities