A thread posted July 15 on the r/math subreddit claims that OpenAI’s GPT-5.6, guided by a carefully constructed prompt, produced a formal mathematical proof that closes a gap in convex optimization ...
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No importance ranking can be simultaneously faithful, stable, and complete under symmetry — at any level of a model, from input features to internal circuits — and we prove it in Lean 4. If you have ...
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Abstract: In this research, an orthogonal projected gradient differential neural solution (OPGDNS) is introduced, specifically tailored for addressing linear and quadratic constrained optimization ...
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The Nash equilibrium is the fundamental solution concept of game theory, playing a central role in fields beyond economics. Nash’s existence proof is famously nonconstructive, and the dynamics ...
Convolution has a significant impact on many scientific disciplines, ranging from probability theory and harmonic analysis to information theory. Here, we introduce a framework to study quantum ...
The concept of FDT is rooted in analysis of response relations appearing in systems subject to stimuli and driven away from equilibrium. In a linear response regime, close to equilibrium, use of ...
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