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Hill Space: Neural nets that do perfect arithmetic (to 10⁻¹⁶ precision)

When understood and used properly, the constraint W = tanh(Ŵ) ⊙ σ(M̂) (introduced in NALU by Trask et al. 2018 ) creates a unique parameter topology where optimal weights for discrete operations can be calculated rather than learned . During training, they're able to converge with extreme speed and reliability towards the optimal solution. Most neural networks struggle with basic arithmetic. They approximate, they fail on extrapolation, and they're inconsistent. But what if there was a way to m

Bunker Busters probably failed to penetrate Iranian concrete

On Saturday, June 21, 2025, following a spate of unprecedented aerial attacks that Israel carried out against Iran just days before, the United States joined the war and used bunker-busting bombs to strike three key Iranian nuclear sites and their underground bunkers: the Fordow fuel-enrichment plant, the Natanz nuclear facility, and the Isfahan nuclear technology center. Operation Midnight Hammer, the Pentagon’s codename for the strikes on Iran, marks the first-ever use of the Massive Ordnance

How I uncovered a potential ancient Rome wine scam

This article has been reviewed according to Science X's editorial process and policies . Editors have highlighted the following attributes while ensuring the content's credibility: Credit: Pixabay/CC0 Public Domain Before artificial sweeteners, people satisfied their cravings for sweetness with natural products, including honey or dried fruit. Raisin wines, made by drying grapes before fermentation, were particularly popular. Historical records show these wines, some known as passum, were enjo