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In the Schr\"odinger evolution of a quantum state time enters as a real parameter representing the coordinate. In a more consistent approach time should be defined as a quantum observable, with the evolution taking place in a…

Quantum Physics · Physics 2026-04-30 Marek Góźdź , Andrzej Góźdź , Krzysztof Lider

We study the running vacuum model in which the vaccum energy density depends on square of Hubble parameter in comparison with the $\Lambda$CDM model. In this work, the Bayesian inference method is employed to test against the standard…

General Relativity and Quantum Cosmology · Physics 2022-02-25 Sarath N , Titus K. Mathew

In many practices, scientists are particularly interested in detecting which of the predictors are truly associated with a multivariate response. It is more accurate to model multiple responses as one vector rather than separating each…

Methodology · Statistics 2021-11-16 Xiaotian Dai , Guifang Fu , Randall Reese , Shaofei Zhao , Zuofeng Shang

The general view is that all fundamental physical laws should be formulated within the framework given by quantum mechanics (QM). In a sense, QM therefore has the character of a metaphysical theory. Consequently, if it is possible to derive…

Quantum Physics · Physics 2017-03-02 Per Östborn

Most applications of Bayesian Inference for parameter estimation and model selection in astrophysics involve the use of Monte Carlo techniques such as Markov Chain Monte Carlo (MCMC) and nested sampling. However, these techniques are time…

Instrumentation and Methods for Astrophysics · Physics 2022-01-26 Geetakrishnasai Gunapati , Anirudh Jain , P. K. Srijith , Shantanu Desai

Bayes linear kinematics and Bayes linear Bayes graphical models provide an extension of Bayes linear methods so that full conditional updates may be combined with Bayes linear belief adjustment. In this paper we investigate the application…

Methodology · Statistics 2016-11-16 Kevin J. Wilson , Malcolm Farrow

Vision systems in nature show remarkable diversity, from simple light-sensitive patches to complex camera eyes with lenses. While natural selection has produced these eyes through countless mutations over millions of years, they represent…

Artificial Intelligence · Computer Science 2025-02-14 Kushagra Tiwary , Aaron Young , Zaid Tasneem , Tzofi Klinghoffer , Akshat Dave , Tomaso Poggio , Dan-Eric Nilsson , Brian Cheung , Ramesh Raskar

I start from the fundamental principles of non-relativistic quantum mechanics, without probability, and interpret them using the notion of coexistence: a quantum state can be read, not uniquely, as a coexistence of other quantum states,…

Neurons and Cognition · Quantitative Biology 2018-07-23 Éric Merle

Macroscopic quantum phenomena refer to quantum features in objects of `large' sizes, systems with many components or degrees of freedom, organized in ways where they can be identified as macroscopic objects. This emerging field is ushered…

Quantum Physics · Physics 2015-06-15 B. L. Hu , Y. Subasi

In this paper we propose the time & fitness-dependent Hamiltonian form of human biomechanics, in which total mechanical + biochemical energy is not conserved. Starting with the Covariant Force Law, we first develop autonomous Hamiltonian…

Biological Physics · Physics 2009-07-20 Tijana T. Ivancevic

Millimeter-wave vehicular networks incur enormous beam-training overhead to enable narrow-beam communications. This paper proposes a learning and adaptation framework in which the dynamics of the communication beams are learned and then…

Machine Learning · Computer Science 2021-10-27 Muddassar Hussain , Nicolo Michelusi

In this paper we propose the time-dependent Hamiltonian form of human biomechanics, as a sequel to our previous work in time-dependent Lagrangian biomechanics [1]. Starting with the Covariant Force Law, we first develop autonomous…

Biological Physics · Physics 2018-02-14 Tijana T. Ivancevic , Bojan Jovanovic , Ratko Stankovic , Sasa Markovic

This paper provides a general method for defining a generalized quantum observable (or POVM) that supplies properly normalized conditional probabilities for the time of occurrence (i.e., of detection). This method treats the time of…

Quantum Physics · Physics 2017-04-25 Thomas Pashby

Aims: Caustic-crossing binary-lens microlensing events are important anomalous events because they are capable of detecting an extrasolar planet companion orbiting the lens star. Fast and robust modelling methods are thus of prime interest…

Earth and Planetary Astrophysics · Physics 2015-05-14 A. Cassan , K. Horne , N. Kains , Y. Tsapras , P. Browne

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

In this work we present an epistemic analysis of time phenomenon using the mathematical machinery of information theory and modular theory. By adopting limited commitment to the ontology of time evolution, and instead by mainly relying on…

History and Philosophy of Physics · Physics 2022-06-09 Farhang Hadad Farshi , Silvia DeBianchi

We analyze the accuracy and sample complexity of variational Monte Carlo approaches to simulate the dynamics of many-body quantum systems classically. By systematically studying the relevant stochastic estimators, we are able to: (i) prove…

Quantum Physics · Physics 2023-10-11 Alessandro Sinibaldi , Clemens Giuliani , Giuseppe Carleo , Filippo Vicentini

The phenomenon of local dynamical inhomogeneity of time is predicted, which implies that the course of time along the trajectory of motion of a particle in the inertial reference frames moving relative to each other depends on the state of…

Quantum Physics · Physics 2007-05-23 V. P. Oleinik , Yu. C. Borimsky , Yu. D. Arepjev

Visual motion estimation is a computationally intensive, but important task for sighted animals. Replicating the robustness and efficiency of biological visual motion estimation in artificial systems would significantly enhance the…

Computer Vision and Pattern Recognition · Computer Science 2015-11-03 Garrick Orchard , Ralph Etienne-Cummings

To enhance the consistency between the quantum descriptions of waves and particles, we quantise mechanical point particles in this paper in the same physically-motivated way as we previously quantised light in quantum electrodynamics…

Quantum Physics · Physics 2026-01-22 Arwa Bukhari , Daniel Hodgson , Sara Kanzi , Robert Purdy , Almut Beige