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Binary sources allow for strictly smaller optimal representations in the Information Bottleneck than previously thought.
Subsea data centers can reliably absorb volatile ocean wave energy without blowing up batch job latencies, offering a viable blueprint to decouple hyperscale AI compute from strained terrestrial power grids.
Direct Mach shock configurations in compressible Euler flows are locally stable and unique under upstream perturbations, settling a fundamental open problem in the mathematical theory of multi-dimensional shock reflections.