4 problems

Effective Lipschitz concentration for transformer language models
Effective Lipschitz concentration. The effective Lipschitz constant satisfies $\Lambda_{\mathrm{eff}}\ll\Lambda(W)$ , specifically $\Lambda_{\mathrm{eff}}=O(\mathrm{poly}(H))$ , whil…
openFrom paperslanguage-models lipschitz-continuity neural-networks
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6
Lipschitz continuity conjecture for the convex QCQP reformulation
Lipschitz continuity conjecture for the convex QCQP reformulation. If the paper's assumptions $Cref{assum:Ab}$ and $ref{assum:main}$ hold and $k>0$ , then for every…
openFrom paperslipschitz-continuity optimization quadratic-programming
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10
Global Lipschitz continuity of the spherical cap discrepancy
Let $\mathbb{S}^{(d-1)}$ be the sphere and let $\Delta:\mathbb{S}^{(d-1)}\to [0,1]$ denote the spherical cap discrepancy. Global Lipschitz continuity conjecture. The spherical cap…
openFrom papersdiscrepancy-theory lipschitz-continuity spherical-geometry
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3
Ash–Catoiu conjecture on directional and relative Lipschitz continuity
Ash–Catoiu conjecture. The set $F$ is a null set.
openFrom paperslipschitz-continuity real-analysis
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4

Effective Lipschitz concentration for transformer language models