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We study a high-dimensional generalized linear model and penalized empirical risk minimization with $\ell_1$ penalty. Our aim is to provide a non-trivial illustration that non-asymptotic bounds for the estimator can be obtained without…

统计理论 · 数学 2007-09-12 Sara A. van de Geer

Despite the remarkable success of the $\Lambda$Cold Dark Matter ($\Lambda$CDM) cosmological model, a growing discrepancy has emerged (currently measured at the level of $\sim 4-6 \sigma$) between the value of the Hubble constant $H_0$…

Recent proposed ``loophole-free'' Bell tests are discussed in the light of classical models for the relevant features of optical parametric amplification and homodyne detection. The Bell tests themselves are uncontroversial: there are no…

量子物理 · 物理学 2007-05-23 Caroline H Thompson

The paper gives several sufficient conditions on the paracompactness of box products with an arbitrary number of many factors and boxes of arbitrary size. The former include results on generalised metrisability and Sikorski spaces. Of…

逻辑 · 数学 2022-11-07 David Buhagiar , Mirna Džamonja

For an m by n real matrix A, we investigate the set of badly approximable targets for A as a subset of the m-torus. It is well known that this set is large in the sense that it is dense and has full Hausdorff dimension. We investigate the…

数论 · 数学 2024-03-04 Nikolay Moshchevitin , Anurag Rao , Uri Shapira

We investigate the feasibility problem for generalized inverse linear programs. Given an LP with affinely parametrized objective function and right-hand side as well as a target set Y, the goal is to decide whether the parameters can be…

最优化与控制 · 数学 2026-02-17 Christoph Buchheim , Lowig T. Duer

The undecidability of basic decision problems for general FIFO machines such as reachability and unboundedness is well-known. In this paper, we provide an underapproximation for the general model by considering only runs that are…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Benedikt Bollig , Alain Finkel , Amrita Suresh

A number of recent results on optimization problems involving submodular functions have made use of the multilinear relaxation of the problem. These results hold typically in the value oracle model, where the objective function is…

数据结构与算法 · 计算机科学 2013-01-31 Jan Vondrak

We generalize the adiabatic approximation to the case of open quantum systems, in the joint limit of slow change and weak open system disturbances. We show that the approximation is ``physically reasonable'' as under wide conditions it…

量子物理 · 物理学 2016-08-16 Patrik Thunström , Johan Åberg , Erik Sjöqvist

Log-linear models are typically fitted to contingency table data to describe and identify the relationship between different categorical variables. However, the data may include observed zero cell entries. The presence of zero cell entries…

统计方法学 · 统计学 2022-12-01 Serveh Sharifi Far , Michail Papathomas , Ruth King

In this paper we consider generalized eigenvalue problems for a family of operators with a quadratic dependence on a complex parameter. Our model is $L(\lambda)=-\triangle +(P(x)-\lambda)^2$ in $L^2(\R^d)$ where $P$ is a positive elliptic…

数学物理 · 物理学 2009-03-06 Fatima Aboud , Didier Robert

The decidability of the reachability problem for finitary PCF has been used as a theoretical basis for fully automated verification tools for functional programs. The reachability problem, however, often becomes undecidable for a slight…

计算机科学中的逻辑 · 计算机科学 2025-02-11 Naoki Kobayashi

Cosmological parameter estimation from forthcoming experiments promise to reach much greater precision than current constraints. As statistical errors shrink, the required control over systematic errors increases. Therefore, models or…

宇宙学与河外天体物理 · 物理学 2020-10-07 José Luis Bernal , Nicola Bellomo , Alvise Raccanelli , Licia Verde

We analyse a simple model with just a $\Lambda$ term present. Differing results are obtained depending on the boundary conditions applied. HH boundary conditions give the factor exp(1/Lambda) but in agreement with Rubakov et al. is badly…

广义相对论与量子宇宙学 · 物理学 2009-10-22 D. H. Coule

We reconsider in some detail a construction allowing (Borel) convergence of an alternative perturbative expansion, for specific physical quantities of asymptotically free models. The usual perturbative expansions (with an explicit mass…

高能物理 - 理论 · 物理学 2009-11-07 J. -L. Kneur , D. Reynaud

The Bell inequality constrains the outcomes of measurements on pairs of distant entangled particles. The Bell contradiction states that the Bell inequality is inconsistent with the calculated outcomes of these quantum experiments. This…

量子物理 · 物理学 2026-03-03 Kees van Hee , Kees van Berkel , Jan de Graaf

We extend Solovay's theorem about definable subsets of the Baire space to the generalized Baire space ${}^\lambda\lambda$, where $\lambda$ is an uncountable cardinal with $\lambda^{<\lambda}=\lambda$. In the first main theorem, we show that…

逻辑 · 数学 2017-06-14 Philipp Schlicht

In this paper we develop a general framework of badly approximable points in a metric space $X$ equipped with a $\sigma$-finite doubling Borel regular measure $\mu$. We establish that under mild assumptions the $\mu$-measure of the set of…

数论 · 数学 2023-07-20 Victor Beresnevich , Shreyasi Datta , Anish Ghosh , Benjamin Ward

Completing a previous analysis started in [1], we study flat Friedmann--Lema\^{\i}tre--Robertson--Walker (FLRW) models with a perfect fluid matter source and a scalar field nonminimally coupled to matter, self--interacting with a potential…

广义相对论与量子宇宙学 · 物理学 2015-08-26 Roberto Giambò , John Miritzis , Koralia Tzanni

We prove that for lambda = beta_omega or just lambda strong limit singular of cofinality aleph_0, if there is a universal member in the class K^lf_lambda of locally finite groups of cardinality lambda, then there is a canonical one…

逻辑 · 数学 2023-03-08 Saharon Shelah