Softmax vs Sigmoid ✍️ Interact 👉 https://byhand.ai/Khlg9b

= Softmax = 🧮

Softmax is how deep networks turn raw scores into a probability distribution — the final layer of every classifier 🎯, and the core of every attention head in a transformer 🤖. To see what it does, picture five boba tea shops 🧋 on the same block, all competing for your dollar 💰. Five candidates: a, b, c, d, e — different chains, different brewing styles, different pearls. A boba reviewer hands you a 𝘤𝘩𝘦𝘪𝘨𝘩𝘦𝘴𝘵 𝘤𝘰𝘳𝘦 for each — higher means perfectly chewy "QQ" pearls with the right bite 🍡 (ask a Taiwanese friend to find out what QQ means). Negative scores are real: mushy bobas, overcooked pearls, a batch left sitting too long 🥀.

How do you turn five chewiness scores into an allocation that adds to a whole dollar? You could spend everything at the chewiest shop, but that ignores how good the runners-up are 🏃‍♂️. Softmax is the smooth alternative 🌊.

Read the diagram left to right ➡️. First, raise each score to e^{x} — this does two things: it turns negative chewiness into small positives, and it stretches the gaps between scores exponentially 📈. Then sum all five into a single total Z. Finally, divide each e^{x} by Z to get a probability. The five probabilities add up to one, so you can read them as percentages of your dollar 📊. The chewiest shop gets the biggest slice 🍰 — but never the whole dollar. That's the point of softmax: it ranks confidently while still leaving room for the others 🤝.

= Sigmoid = 📉

Sigmoid squashes any real number into a probability between 0 and 1 — the classic activation for binary classification ✅, and still the gating function inside LSTMs and GRUs. Same boba block as the previous Softmax example, narrowed to just two contenders — a hot new shop a with chewiness score x, and your usual go-to b whose score is pinned at zero (the neutral baseline you've come to expect) 📍.

Sigmoid is just softmax with two players, one of them pinned to zero ⚖️.

Read the diagram left to right ➡️. First, raise each score to e^{x} — for the usual shop b whose score is zero, this is just e^0 = 1 (the constant baseline) 🏛. Then sum the two into a total Z. Finally, divide each e^{x} by Z to get a probability. The two probabilities add up to one — the new shop wins more of your dollar when its pearls get chewier, and your usual keeps the rest 💸. That's the point of sigmoid: it turns a single chewiness score into a clean 0-to-1 chance you'll try the new place over your usual 🚀.

https://t.me/DataScienceM 🔗

🤖 What is a perceptron, and how does it work?

Don’t worry, we have an easy-to-understand explanation for you!

Let’s dive in.👇🏽

1️⃣ History

The idea of a perceptron was first presented by Frank Rosenblatt in 1957. It was inspired on the neuron model by McCulloch and Pitt. The concept of the perceptron still forms the basis for modern artificial neural networks today.

2️⃣ Concept of a Single-Layer Perceptron

A perceptron consists of an artificial neuron with adjustable weights and a threshold. The neuron in the perceptron is called a Linear Threshold Unit (LTU) because it uses the step function as its output function and performs a linear separation of the input data.

3️⃣ Detailed view

The figure illustrates a perceptron with an input layer, an artificial neuron, and an output layer. The input layer contains the input value and x_0 as bias. In a neural network, a bias is required to shift the activation function either to the positive or negative side.

The perceptron has weights on its edges. It calculates the weighted sum of input values and weights. It is also known as aggregation. The result a finally serves as input into the activation function. The step function is used as the activation function. Here, all values of a > 0 map to 1, and values a < 0 map to -1.

4️⃣ Limitations

The single-layer Perceptron can only solve linearly separable problems and struggles with complex patterns. The XOR problem, a simple nonlinear classification problem, showed the limitations of the perceptron.

5️⃣ Advancements

The introduction of the multilayer perceptron (MLP) and the backpropagation algorithm led to the ability to solve nonlinear problems.

https://t.me/DataScienceM 🧠

Hugging Face has literally gathered all the key "secrets". 🤔

It's important to understand the evaluation of large language models. 📊

While you're working with language models:
> training or retraining your models, 🔄
> selecting a model for a task, 🎯
> or trying to understand the current state of the field, 🌍

the question almost inevitably arises:
how to understand that a model is good? ❓

The answer is quality evaluation. It's everywhere:
> leaderboards with model ratings, 🏆
> benchmarks that supposedly measure reasoning, 🧠
> knowledge, coding or mathematics, 👨‍💻
> articles with claimed new best results. 📈

But what is evaluation actually? 🤷‍♂️
And what does it really show? 🔍

This guide helps to understand everything. 📚
https://huggingface.co/spaces/OpenEvals/evaluation-guidebook#what-is-model-evaluation-about


What is model evaluation all about 🤖
Basic concepts of large language models for understanding evaluation 🏗️
Evaluation through ready-made benchmarks 📏
Creating your own evaluation system 🔧
The main problem of evaluation ⚠️
Evaluation of free text 📝
Statistical correctness of evaluation 📉
Cost and efficiency of evaluation 💰

https://t.me/CodeProgrammer 🟢

🔖 10 Stanford courses on AI and ML — with official pages and all materials

▶️ CS221: Artificial Intelligence
▶️ CS229: Machine Learning
▶️ CS229M: Theory of Machine Learning
▶️ CS230: Deep Learning
▶️ CS234: Reinforcement Learning
▶️ CS224N: Natural Language Processing
▶️ CS231N: Deep Learning for Computer Vision
▶️ CME295: Large Language Models
▶️ CS236: Deep Generative Models
▶️ CS336: Modeling Language from Scratch

They cover the entire spectrum: classic ML, LLM, and generative models — with theory and practice.

tags: #python #ML #LLM #AI

➡ https://t.me/MachineLearning9

🚀 𝗦𝘁𝗶𝗹𝗹 𝗧𝗵𝗶𝗻𝗸 𝗗𝗮𝘁𝗮 𝗦𝗰𝗶𝗲𝗻𝗰𝗲 𝗶𝘀 𝗝𝘂𝘀𝘁 𝗔𝗯𝗼𝘂𝘁 𝗣𝘆𝘁𝗵𝗼𝗻 & 𝗧𝗼𝗼𝗹𝘀? 𝗧𝗵𝗶𝗻𝗸 𝗔𝗴𝗮𝗶𝗻.

Behind every powerful model, every accurate prediction, and every data-driven decision… lies mathematics.

Whether you're starting out or advancing in data science, mastering core mathematics is what separates tool users from true problem solvers.

Here are some of the most important mathematical concepts every data professional should be comfortable with:

🔹 𝗢𝗽𝘁𝗶𝗺𝗶𝘇𝗮𝘁𝗶𝗼𝗻 𝗧𝗲𝗰𝗵𝗻𝗶𝗾𝘂𝗲𝘀 (𝗚𝗿𝗮𝗱𝗶𝗲𝗻𝘁 𝗗𝗲𝘀𝗰𝗲𝗻𝘁)
Drives how models learn by minimizing error step-by-step.

🔹 𝗣𝗿𝗼𝗯𝗮𝗯𝗶𝗹𝗶𝘁𝘆 & 𝗗𝗶𝘀𝘁𝗿𝗶𝗯𝘂𝘁𝗶𝗼𝗻𝘀 (𝗡𝗼𝗿𝗺𝗮𝗹 𝗗𝗶𝘀𝘁𝗿𝗶𝗯𝘂𝘁𝗶𝗼𝗻, 𝗡𝗮𝗶𝘃𝗲 𝗕𝗮𝘆𝗲𝘀)
Helps in understanding uncertainty and making predictions.

🔹 𝗦𝘁𝗮𝘁𝗶𝘀𝘁𝗶𝗰𝘀 𝗙𝘂𝗻𝗱𝗮𝗺𝗲𝗻𝘁𝗮𝗹𝘀 (𝗭-𝗦𝗰𝗼𝗿𝗲, 𝗖𝗼𝗿𝗿𝗲𝗹𝗮𝘁𝗶𝗼𝗻)
Essential for interpreting data and identifying meaningful patterns.

🔹 𝗔𝗰𝘁𝗶𝘃𝗮𝘁𝗶𝗼𝗻 𝗙𝘂𝗻𝗰𝘁𝗶𝗼𝗻𝘀 (𝗦𝗶𝗴𝗺𝗼𝗶𝗱, 𝗥𝗲𝗟𝗨, 𝗦𝗼𝗳𝘁𝗺𝗮𝘅)
Power the intelligence behind neural networks.

🔹 𝗠𝗼𝗱𝗲𝗹 𝗘𝘃𝗮𝗹𝘂𝗮𝘁𝗶𝗼𝗻 𝗠𝗲𝘁𝗿𝗶𝗰𝘀 (𝗙𝟭 𝗦𝗰𝗼𝗿𝗲, 𝗥², 𝗠𝗦𝗘, 𝗟𝗼𝗴 𝗟𝗼𝘀𝘀)
Measure how well your model is actually performing.

🔹 𝗟𝗶𝗻𝗲𝗮𝗿 𝗔𝗹𝗴𝗲𝗯𝗿𝗮 (𝗘𝗶𝗴𝗲𝗻𝘃𝗲𝗰𝘁𝗼𝗿𝘀, 𝗦𝗩𝗗)
The backbone of dimensionality reduction and complex transformations.

🔹 𝗢𝗽𝘁𝗶𝗺𝗶𝘇𝗮𝘁𝗶𝗼𝗻 & 𝗥𝗲𝗴𝘂𝗹𝗮𝗿𝗶𝘇𝗮𝘁𝗶𝗼𝗻 (𝗠𝗟𝗘, 𝗟𝟮 𝗥𝗲𝗴𝘂𝗹𝗮𝗿𝗶𝘇𝗮𝘁𝗶𝗼𝗻)
Prevents overfitting and improves model generalization.

🔹 𝗖𝗹𝘂𝘀𝘁𝗲𝗿𝗶𝗻𝗴 & 𝗠𝗲𝘁𝗿𝗶𝗰𝘀 (𝗞-𝗠𝗲𝗮𝗻𝘀, 𝗖𝗼𝘀𝗶𝗻𝗲 𝗦𝗶𝗺𝗶𝗹𝗮𝗿𝗶𝘁𝘆)
Helps in grouping and understanding hidden structures in data.

🔹 𝗜𝗻𝗳𝗼𝗿𝗺𝗮𝘁𝗶𝗼𝗻 𝗧𝗵𝗲𝗼𝗿𝘆 (𝗘𝗻𝘁𝗿𝗼𝗽𝘆, 𝗞𝗟 𝗗𝗶𝘃𝗲𝗿𝗴𝗲𝗻𝗰𝗲)
Used in decision trees and probabilistic models.

🔹 𝗔𝗱𝘃𝗮𝗻𝗰𝗲𝗱 𝗢𝗽𝘁𝗶𝗺𝗶𝘇𝗮𝘁𝗶𝗼𝗻 (𝗦𝗩𝗠, 𝗟𝗮𝗴𝗿𝗮𝗻𝗴𝗲 𝗠𝘂𝗹𝘁𝗶𝗽𝗹𝗶𝗲𝗿)
Crucial for constrained optimization problems.

💡 𝗥𝗲𝗮𝗹𝗶𝘁𝘆 𝗖𝗵𝗲𝗰𝗸:

You don’t need to master all of these at once—but ignoring them will limit your growth.

👉 Start small.

👉 Focus on intuition over memorization.

👉 Learn how these concepts connect to real-world problems.

Because in data science, math is not optional—it’s your competitive advantage.

https://t.me/MachineLearning9 🧡

Linear Regression explained in a simple geometric way

https://t.me/MachineLearning9 💗