The Gilded Age of Silicon: A Dividend Hunter’s Musings

The great tech empires, naturally, are leading the charge. Amazon, with a profligacy that would shame a Roman emperor, intends to spend $200 billion – a mere rounding error in the grand scheme of things, one supposes. Alphabet, not to be outdone, plans to double its capital expenditure. One begins to suspect these titans aren’t building empires, but rather monuments to their own ambition.

![Algorithmic capture-the ability of a model trained on smaller problem instances to generalize to larger ones with minimal additional data-holds for induction and sorting tasks, where the required data scales logarithmically with instance size [latex]C\log(T/T\_{0})[/latex], but breaks down for more complex problems like Shortest Path and Minimal Cut, which exhibit superlinear data requirements even in deep transformer networks, suggesting fundamental limits to generalization based on problem complexity.](https://arxiv.org/html/2603.11161v1/x3.png)






