Lieb
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Exact density-functional theory as parallel ensemble variational hierarchies: from Lieb's formulation to Kohn-Sham theory
arXiv:2603.23399v4 Announce Type: replace Abstract: Exact density-functional theory is recast here as two parallel exact ensemble variational hierarchies: an interacting hierarchy rooted in Lieb's ensemble formulation and a noninteracting hierarchy rooted in exact noninteracting ensemble theory. The Kohn-Sham construction links the two on a common admissible density class. In this recasting, Levy-Lieb, Hohenberg-Kohn, and Kohn-Sham formulations appear as constrained specializations of...
SIRT7 regulates dosage compensation and safeguards the female X chromosome
Abstract Sirtuins are deacetylases implicated in stress responses and longevity in mammals1,2. Although their differential impact on disease for the two sexes has been noted3,4,5,6,7, the underlying reasons are unclear. Here, using Sirt7 as a model in mice, we examine the mechanisms leading to sex differences and find that Sirt7−/− female mice have decreased fitness throughout their lifespan.
Utah is so bone dry amid drought that a squirrel and kids with matches started separate brush fires
Utah is so bone dry amid drought that a squirrel and kids with matches started separate brush fires The two fires were sparked within hours on Tuesday - Bookmark - CommentsGo to comments Utah is suffering from such dry conditions that a group of kids with matches and a squirrel managed to start separate brush fires within hours, according to local media reports. The ongoing severe drought in Utah has created the perfect conditions for destructive fires, prompting officials to warn that this...
A density-functional perspective on force fields
Announce Type: replace Abstract: Force fields are usually formulated directly in nuclear configuration space, whereas density functional theory is naturally formulated in terms of external potentials, densities, and variational duality. We show that exact force fields are variationally induced by DFT: the Born-Oppenheimer potential-energy surface is the pullback of the external-potential energy functional along the map from nuclear configurations to Coulomb potentials.
Generalization in Nonlinear Least Squares via Learned Feature Geometry
arXiv:2606.08799v1 Announce Type: cross Abstract: We study the generalization of ridge-regularized nonlinear least-squares models via on-average algorithmic stability, deriving error bounds for local minimizers in terms of a data-dependent effective dimension that reflects the geometry of the gradient model at the trained parameters, through the empirical Jacobian Gram matrix and a residual--curvature term. In the linear case, where the curvature term vanishes, this recovers the classical...