Machine Learning Equations🤖

In today's edition: What's Shaping the Future of Data?

• 🏭 AI: How It Can Be Used Across Industries

• 💻OpenAI Codex Can Now Run in Your IDE

• 👀First AI Vibe Coder That Can See and Test What It Built

• 📦 RAG Everything with the smallest vector index in the world

• 📺 Microsoft brings Copilot AI to your TV

• 🤖OpenAI Will Pay $25,000 to Jailbreak GPT-5

• 💡 AI Tutorial:Prompt marketing videos with Gemini's Veo 3

• 🤖 AI Tools and Data Tools to checkout

The Most Important Machine Learning Equations: A Comprehensive Guide

This blog post is designed to be your go-to resource, covering the most critical and “mind-breaking” ML equations—enough to grasp most of the core math behind ML. Each section includes theoretical insights, the equations themselves, and practical implementations in Python, so you can see the math in action. This guide is for anyone with a basic background in math and programming who wants to deepen their understanding of ML

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Artificial Intelligence: Your Guide to What It Is and How It Can Be Used in Industries

The uses for artificial intelligence are wide-ranging. For example, it has been used in the financial sector to automate tasks such as performing audits or analysing data from a business’s customers.

OpenAI Codex Can Now Run in Your IDE

OpenAI Codex is now available in VS Code, Cursor, and other forks via extension. The extension lets you chat with Codex using context from your open files and selected code. Powered by GPT-5, it runs in "Agent" mode by default, reading files and making edits locally with your approval, but you can also offload substantial tasks to cloud environments while tracking progress from your editor.

First AI Vibe Coder That Can See and Test What It Built 👀 ‍💻

Vibe coding with platforms like Lovable, Replit, Bolt, and v0 has been half-magic, half-nightmare. Lindy just fixed this flaw with Lindy Build, the only vibe coding platform that not only creates full-stack applications and websites, but also tests them autonomously.

RAG Everything with the Smallest Vector Index in the World 💽

Vector databases eat storage like hungry monsters, demanding 1.5 - 7x more space than your original data just to store embeddings and index metadata. UC Berkeley researchers released LEANN, a storage-efficient vector index designed for RAG use cases, particularly on edge devices with limited memory. You can literally transform your laptop into a powerful RAG system that can index and search through millions of documents while using 97% less storage than traditional solutions without accuracy loss.

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👨‍💻 Data Tools, Libraries

Recode (GitHub Repo)

Recode allows developers to run remote development environments on their own cloud.

Astro 1.0 (5 minute read)

Astro is a web framework for building fast, content-focused websites. It features server-side rendering, image optimization, Markdown support, and a custom build engine. Version 1.0 was recently released.

DNS Reaper (GitHub Repo)

DNS Reaper is a subdomain takeover tool that can be used as an attacker, defender, or bug hunting tool

AI News:

🏆 A16z’s fifth GenAI consumer app rankings

VC firm Andreessen Horowitz published the fifth edition of its ‘Top 100 GenAI Consumer Apps’ list, analyzing overall usage, featuring OpenAI leading the pack with Google right behind, the rise of vibe coding, and Chinese dominance in mobile AI. Gemini came in at No. 2 behind ChatGPT, capturing 12% of ChatGPT's web traffic — with Google’s AI Studio, NotebookLM, and Labs all also making the list.

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📺 Microsoft brings Copilot AI to your TV

Microsoft announced that Copilot will be embedded into Samsung’s 2025 TVs and smart monitors, giving the AI assistant an animated blob-like character that can field movie recommendations, episode recaps, general questions, and more. The assistant appears on-screen as an animated blob-like character that lip-syncs and reacts visually as it responds to questions and prompts.

🧪 AI giants team up on model safety testing

OpenAI and Anthropic just published new internal safety evaluations on each other’s models in a joint collaboration, testing leading models for risky behaviors, alignment, and real-world safety issues. The companies tested GPT-4o, o3, Claude Opus 4, and Sonnet 4 for a range of behaviors, including misuse, whistleblowing, and more.

OpenAI Will Pay $25,000 to Jailbreak GPT-5

OpenAI is offering up to $25,000 for anyone who can find a universal jailbreak for GPT-5 that bypasses its safety checks on bio/chem questions. There’s also $10,000 for teams using multiple prompts, plus smaller rewards for partial wins.

ByteDance eyes valuation of over $330 billion as revenue surpasses Meta

ByteDance is set to launch a new employee share buyback that will value it at more than $330 billion. It plans to offer current employees $200.41 per share in the repurchase program. The buyback is expected to be launched in the autumn.

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AI Tutorial

🎥 Prompt marketing videos with Gemini's Veo 3

In this tutorial, you will learn how to use Gemini's Veo 3 to generate short marketing clips from simple text prompts or images — perfect for creating campaign assets without a video team.

Step-by-step:

1. Go to Gemini and select "Tools" → "Videos with Veo"

2. Build your brief by either dragging in an image reference or typing a description with clear scenes and "must-show" elements

3. Use this prompt structure: "Create a [product] video. Theme: [message]. Scene 1: [description]. Scene 2: [transition]. Must show: [key element]"

4. Submit and wait for rendering (Note: ~2 videos per day limit on Pro plan)

5. Export to Canva or your editor to swap text, add licensed music, and crop for different platforms (9:16, 1:1, 16:9)

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🔥Top AI tools to increase productivity: 

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