A closed-form matrix regularization parameter for ℓ1-regularized Gaussian MLE, obtained by fixing reselection probability of nonzero entries, matches CV accuracy and support recovery at far lower cost.
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Wick,The evaluation of the collision matrix, Physical review, 80 (1950), p
8 Pith papers cite this work, alongside 1,285 external citations. Polarity classification is still indexing.
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Cubic Dirac operators are defined for infinite-dimensional color Lie algebras using Z-gradings to fix normal ordering, with corrections when a color Kac-Peterson class vanishes, yielding square formulas and applications to Kac-Moody superalgebras including Dirac inequalities.
The O(α) correction to entanglement entropy of a non-minimally coupled self-interacting scalar across a Schwarzschild horizon is proportional to (1/6 - ξ), with divergences that renormalize Newton's constant while preserving the black hole area law.
SeQuant introduces a graph-theoretic tensor network canonicalizer for efficient symbolic manipulation and numerical evaluation of tensors over commutative and non-commutative rings, with support for noncovariant and nested tensors.
Introduces degenerate generalized Stirling operators of the first kind as inverses to second-kind versions in generalized Heisenberg algebra, derives explicit product factorization, recurrence, shifting identity, and orthogonality relations.
A Julia package implementing Weingarten calculus and Wick contractions for symbolic Haar integration over compact groups and random matrix ensembles.
Lecture notes on quantum thermodynamics showing emergence of thermodynamic laws from quantum theory via Markovian master equations for small systems.
citing papers explorer
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The Regularization Parameter: Sparse Precision Matrix Estimation
A closed-form matrix regularization parameter for ℓ1-regularized Gaussian MLE, obtained by fixing reselection probability of nonzero entries, matches CV accuracy and support recovery at far lower cost.
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Dirac operators for infinite-dimensional color Lie algebras
Cubic Dirac operators are defined for infinite-dimensional color Lie algebras using Z-gradings to fix normal ordering, with corrections when a color Kac-Peterson class vanishes, yielding square formulas and applications to Kac-Moody superalgebras including Dirac inequalities.
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Entanglement Entropy of a Non-Minimally Coupled Self-Interacting Scalar across a Schwarzschild Horizon at $\mathcal{O}(\alpha)$
The O(α) correction to entanglement entropy of a non-minimally coupled self-interacting scalar across a Schwarzschild horizon is proportional to (1/6 - ξ), with divergences that renormalize Newton's constant while preserving the black hole area law.
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SeQuant Framework for Symbolic and Numerical Tensor Algebra. I. Core Capabilities
SeQuant introduces a graph-theoretic tensor network canonicalizer for efficient symbolic manipulation and numerical evaluation of tensors over commutative and non-commutative rings, with support for noncovariant and nested tensors.
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Degenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebra
Introduces degenerate generalized Stirling operators of the first kind as inverses to second-kind versions in generalized Heisenberg algebra, derives explicit product factorization, recurrence, shifting identity, and orthogonality relations.
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IntegrateUnitary.jl: A Julia package for symbolic integration over Haar measures
A Julia package implementing Weingarten calculus and Wick contractions for symbolic Haar integration over compact groups and random matrix ensembles.
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Quantum Thermodynamics
Lecture notes on quantum thermodynamics showing emergence of thermodynamic laws from quantum theory via Markovian master equations for small systems.
- Generalization of Zeroth-Order Method for Quotients of Quadratic Functions