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In this work, we point out an overlooked and subtle feature of the generalized uncertainty principle (GUP) approach to quantizing gravity: namely that different pairs of modified operators with the same modified commutator,…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Michael Bishop , Joey Contreras , Douglas Singleton

Machine learning techniques are used to predict theoretical constraints such as unitarity and boundedness from below in extensions of the Standard Model. This approach has proven effective for models incorporating additional SU(2) scalar…

High Energy Physics - Phenomenology · Physics 2025-12-19 Darius Jurčiukonis

The quantified constraint satisfaction problem (QCSP) is a powerful framework for modelling computational problems. The general intractability of the QCSP has motivated the pursuit of restricted cases that avoid its maximal complexity. In…

Computational Complexity · Computer Science 2007-05-23 Hubie Chen

In this work we determine the consequences of the quantum entanglement of a system of two identical particles when a generalized uncertainty principle (GUP) is considered. GUP's are usually associated with the existence of a minimal length.…

Quantum Physics · Physics 2024-07-09 K. C. Lemos Filho , B. B. Dilem , R. O. Francisco , J. C. Fabris , J. A. Nogueira

Generative models have enjoyed widespread success in a variety of applications. However, they encounter inherent mathematical limitations in modeling distributions where samples are constrained by equalities, as is frequently the setting in…

Machine Learning · Computer Science 2026-02-02 Katherine Keegan , Lars Ruthotto

Recent work has shown that finite mixture models with $m$ components are identifiable, while making no assumptions on the mixture components, so long as one has access to groups of samples of size $2m-1$ which are known to come from the…

Statistics Theory · Mathematics 2022-07-25 Robert A. Vandermeulen , René Saitenmacher

Generalization is the ability of a model to predict on unseen domains and is a fundamental task in machine learning. Several generalization bounds, both theoretical and empirical have been proposed but they do not provide tight bounds .In…

Machine Learning · Computer Science 2021-01-19 Sumukh Aithal K , Dhruva Kashyap , Natarajan Subramanyam

The Generalized Uncertainty Principle (GUP) implies the existence of a physical minimum length scale $l_m$. In this scenario, black holes must have a radius larger than $l_m$. They are hotter and evaporate faster than in standard Hawking…

High Energy Physics - Phenomenology · Physics 2017-06-28 Marco Cavaglia , Benjamin Harms , Shaoqi Hou

The Generalized Uncertainty Principle (GUP) naturally emerges in several quantum gravity models, predicting the existence of a minimal length at Planck scale. Here, we consider the quadratic GUP as a semiclassical approach to thermodynamic…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-25 Giuseppe Gaetano Luciano

The unification of quantum mechanics and gravity remains as one of the primary challenges of present-day physics. Quantum-gravity-inspired phenomenological models offer a window to explore potential aspects of quantum gravity including…

General Relativity and Quantum Cosmology · Physics 2017-08-25 Pasquale Bosso , Saurya Das , Igor Pikovski , Michael R. Vanner

In this paper, we investigate the polyhedral structure of two submodular sets with generalized upper bound (GUB) constraints, which arise as important substructures in various real-world applications. We derive a class of strong valid…

Optimization and Control · Mathematics 2026-01-27 Weikang Qian , Keyan Li , Wei-Kun Chen , Yu-Hong Dai

We establish anisotropic uncertainty principles (UPs) for general metaplectic operators acting on $L^2(\mathbb{R}^d)$, including degenerate cases associated with symplectic matrices whose $B$-block has nontrivial kernel. In this setting,…

Analysis of PDEs · Mathematics 2026-01-26 Elena Cordero , Gianluca Giacchi , Edoardo Pucci

We study generalised additive models, with shape restrictions (e.g. monotonicity, convexity, concavity) imposed on each component of the additive prediction function. We show that this framework facilitates a nonparametric estimator of each…

Statistics Theory · Mathematics 2014-04-14 Yining Chen , Richard J. Samworth

This work introduces a family of univariate constrained mixtures of generalized normal distributions (CMGND) where the location, scale, and shape parameters can be constrained to be equal across any subset of mixture components. An…

Methodology · Statistics 2025-06-05 Pierdomenico Duttilo , Stefano Antonio Gattone , Alfred Kume

Generalized equations are problems emerging in contexts of modern variational analysis as an adequate formalism to treat such issues as constraint systems, optimality and equilibrium conditions, variational inequalities, differential…

Optimization and Control · Mathematics 2018-12-06 A Uderzo

In the analysis of elastic-scattering experimental data, optical-model parameters (usually, depths of real and imaginary potentials) are fitted and conclusions are drawn analyzing their variations at bombardment energies close to the…

Nuclear Experiment · Physics 2015-03-16 Daniel Abriola , A. Arazi , J. Testoni , F. Gollan , G. V. Martí

Based on the generalized uncertainty principle (GUP), proposed by some approaches to quantum gravity such as string theory and doubly special relativity theories, we investigate the effect of GUP on the thermodynamic properties of compact…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Ahmed Farag Ali , A. Tawfik

In recent years, the implications of the generalized (GUP) and extended (EUP) uncertainty prin-ciples on Maxwell-Boltzmann distribution have been widely investigated. However, at high energy regimes, the validity of Maxwell-Boltzmann…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Hooman Moradpour , Sara Aghababaei , Amir Hadi Ziaie

Several machine learning frameworks for augmenting turbulence closure models have been recently proposed. However, the generalizability of an augmented turbulence model remains an open question. We investigate this question by…

Fluid Dynamics · Physics 2023-02-22 Ryley McConkey , Eugene Yee , Fue-Sang Lien

The Generalized Uncertainty Principle (GUP) is a modification of Heisenberg's Uncertainty Principle predicted by several theories of quantum gravity. In this work, we compute GUP corrections to the well-known Jaynes-Cummings Model (JCM)…

Quantum Physics · Physics 2022-09-22 Kabir Khanna , Saurya Das
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