"Learning Mathematics: Why Memory, Practice, and Technique are More Important than Talent"

To master mathematics, it is necessary to memorize a large amount of information, rules, methods of simplification, and problem-solving techniques. There is no other way. Theory is useful, but in moderation.

It's like learning a language. If you focus too much on grammar, you will never learn to speak it fluently.

https://algebrica.org/learning-mathematics/

I found a great resource for interactive learning about machine learning and AI – VizLearn.

You can experiment with gradient descent, SVM, PCA, the Bayesian method, BPE tokenization, Q/K/V, KV-cache, quantization, and much more. You can change the input data and see how the calculations themselves change.

It's free and doesn't require registration.

https://vizlearn.in

https://t.me/MachineLearning9

Normalization vs Standardization 📊
Why they are not the same.

One page: the two formulas side by side, two columns from the same table on incompatible scales, the same 400 values shown raw / min-max / standardized so you can see only the location and scale move while the skew stays, a worked example on five numbers, and a "which one, when" guide.

The bottom line: ask what the next step assumes — a fixed interval means normalize, mean 0 and sd 1 means standardize, and if the model splits on ordering, neither.

#DataScience #MachineLearning #Statistics #Normalization #Standardization #DataPreprocessing

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📚 "Fundamentals of Computer Vision" is a free online book published by MIT Press, providing a broad introduction to computer vision from the perspectives of image processing and machine learning.

🔍 It covers topics such as image formation, training and backpropagation, image filtering and Fourier analysis, CNNs, RNNs, and transformers, generative models, representation learning, 3D geometry, motion estimation, object recognition, models that work with images and text, and much more.

💡 I particularly appreciate that the entire book is available directly in HTML, with a clear and user-friendly layout, and numerous diagrams and visualizations that help to understand the concepts.

🔗 https://visionbook.mit.edu/

#ComputerVision #MachineLearning #AI #TechBooks #MITPress #Education

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"Understanding Transformers and Attention Mechanisms" - a concise mathematical introduction to the attention mechanism, one of the key ideas in modern language models.

This document explains tokenization and embeddings, queries, keys, and values, attention scores and weights, multi-head attention, self-attention, causal attention and masking, cross-attention, and the basic structure of the Transformer architecture.

It also presents important techniques that make the attention mechanism in modern LLMs more efficient: KV-caching, grouped query attention (GQA), multi-query attention (MQA), and latent attention.

https://arxiv.org/pdf/2604.00965

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100 Machine Learning Interview Questions and Answers 🤖

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Tracking experiments and versioning ML models with MLflow. 🤖

Machine learning development requires saving hyperparameters, metrics, and artifacts for each run to compare results. The MLflow platform logs key metrics and registers trained models in a central registry. We will install MLflow, run a script to log parameters, and register the model.

Let's install the

mlflow

and

scikit-learn

libraries to conduct and log a test experiment. 📦

pip install mlflow scikit-learn

The dependencies for managing ML experiments have been successfully installed. ✅

Now, let's create a Python script called

train.py

that will train a simple model, log metrics, and save it to MLflow. 🐍

import mlflow
from sklearn.ensemble import RandomForestClassifier

mlflow.set_experiment("demo_experiment")
with mlflow.start_run():
    params = {"n_estimators": 100, "max_depth": 5}
    mlflow.log_params(params)
    model = RandomForestClassifier(**params)
    mlflow.log_metric("accuracy", 0.95)
    mlflow.sklearn.log_model(model, "rf_model")

The training script and metric logging are set up and ready to be executed. 🚀

Let's run the training script to capture the results and parameters in the local MLflow storage.

python3 train.py

The experiment has been successfully completed, and the parameters and model artifacts have been saved. 📊

# verification (check for registered runs in MLflow)
mlflow runs list --experiment-name demo_experiment

Expected output:

demo_experiment ... FINISHED

# cleanup (remove the generated directory with artifacts and the script)
rm -rf mlruns train.py

Using MLflow helps avoid chaos when tuning hyperparameters and ensures reproducibility of results. Deploy an MLflow server on a separate host for the entire team to collaborate on the project. 🌐

#MLflow #MachineLearning #Python #DataScience #MLOps #AI

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🔖 A Comprehensive Resource for Machine Learning Practice

The platform offers:

🫡 1200+ machine learning tasks;
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Almost everything can be accessed directly in your browser, and basic tasks are available for free.

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"Matrix Differential Calculus for Machine Learning and Beyond" is a free course of lecture materials from MIT, focusing on the mathematics of derivatives of vectors and matrices.

The materials cover gradients, Jacobians, derivatives of matrix functions, differentials, derivatives of matrix products, inverse matrices, and determinants, Kronecker products, optimization, and automatic differentiation. It also explores the application of these methods in machine learning.

In my opinion, this is a valuable resource for those who are already familiar with the basics of linear algebra and mathematical analysis and want to understand how differentiation is generalized to vectors and matrices and applied in modern optimization problems.

https://ocw.mit.edu/courses/18-s096-matrix-calculus-for-machine-learning-and-beyond-january-iap-2023/mit18_s096iap23_lec_full.pdf

https://t.me/MachineLearning9

You can literally enter a sentence and see how the Transformer processes it.

This interactive tool runs a GPT-like model directly in your browser and allows you to trace the entire process:

Tokenization → Embeddings → Q/K/V → Attention Mechanism → MLP → Logits → Probabilities of the next token.

You can explore attention maps, intermediate values, and adjust parameters like temperature, top-k, and top-p to see how they affect the generation.

If Transformers still seem like a collection of blocks connected by arrows, you should definitely try this.

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

https://t.me/DataAnalyticsX