http://programmer.ie/tags/strides/ Recent content in Strides on Programmer.ie Hugo en-us Sat, 08 Aug 2026 12:45:00 +0100 http://programmer.ie/books/pytorch-from-first-principles/02-chapter/ Sat, 08 Aug 2026 12:45:00 +0100 http://programmer.ie/books/pytorch-from-first-principles/02-chapter/ <p>The last program in Chapter 1 trained a two-parameter model on four examples. It worked, and we read it as a story about gradients: predict, measure, differentiate, step. But something in it went unexamined. <code>w</code> was a single number and <code>x</code> held four, and <code>w * x + b</code> produced four predictions without anyone specifying how a scalar and a four-element vector should combine. PyTorch had a rule. We never stated it.</p>