AI Racers Need to Learn to Predict, Not Just React

The Perilous Dance of Autonomous Overtaking Autonomous vehicles are getting remarkably good at navigating complex environments. But even the most advanced self-driving systems still face a profound challenge: high-speed overtaking maneuvers. Imagine two Formula 1 cars, hurtling down a track at breakneck speed, poised for a wheel-to-wheel pass. The margin for error is minuscule; a…

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Interfaces May Steer Heat Spikes in TNT Composites

The hidden drama of many high-energy formulations isn’t in the chemistry alone but in the tiny corners where materials meet: the grain boundaries, the surfaces, the junctions where TNT, the infamous explosive, brushes up against HMX, another energetic crystal. A new modeling framework from researchers at Purdue University, Lawrence Livermore National Laboratory (LLNL), and Los…

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Hidden patterns unlock a universe of hyperfields

Imagine a world where numbers don’t just add up, but *spread out* into sets. This isn’t some mathematical fantasy; it’s the realm of hyperfields, exotic structures that are quietly revolutionizing fields like algebraic geometry and matroid theory. Recently, a remarkable discovery has been made about these hyperfields, shedding light on their hidden order and potentially…

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Low-Degree Points Quietly Map a Hidden Curve Web

Highlights: A Toric Stage Inspires Interpolation; Most Low-Degree Points Emerge from Ambient Intersections; Singular Curves Go Onstage with Unity; A Plane-Curve Twist Expands Classical Results In the orchestra of algebraic geometry, a curve is a melody and a point of small degree is a note that repeats across a number field, not at will but…

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Is Speed in Graphs Always Worth Its Message Cost?

In the world of distributed computing, speed is measured in two ways that rarely line up perfectly: how many rounds of communication you need (time) and how many messages you churn through (the bill for bandwidth, energy, and processing). For decades, researchers have chased near-optimal time with clever protocols, then separately chased tight message budgets…

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