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From Shannon to Modern AI: A Complete Information Theory Guide for Machine Learning

This article shows how Shannon’s information theory connects to the tools you’ll find in modern machine learning. We’ll address entropy and information gain, then move to cross-entropy, KL divergence, and the methods used in today’s generative learning systems. Here’s what’s…

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Pretrain a BERT Model from Scratch

import dataclasses   import datasets import torch import torch.nn as nn import tqdm     @dataclasses.dataclass class BertConfig:     “”“Configuration for BERT model.”“”     vocab_size: int = 30522     num_layers: int = 12     hidden_size: int = 768     num_heads: int = 12     dropout_prob: float…

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The Journey of a Token: What Really Happens Inside a Transformer

In this article, you will learn how a transformer converts input tokens into context-aware representations and, ultimately, next-token probabilities. Topics we will cover include: How tokenization, embeddings, and positional information prepare inputs What multi-headed attention and feed-forward networks contribute inside…

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Polaris-4B and Polaris-7B: Post-Training Reinforcement Learning for Efficient Math and Logic Reasoning

The Rising Need for Scalable Reasoning Models in Machine Intelligence Advanced reasoning models are at the frontier of machine intelligence, especially in domains like math problem-solving and symbolic reasoning. These models are designed to perform multi-step calculations and logical deductions,…

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