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We describe some applications of quantum information theory to the analysis of quantum limits on measurement sensitivity. A measurement of a weak force acting on a quantum system is a determination of a classical parameter appearing in the…

Quantum Physics · Physics 2012-03-28 Andrew M. Childs , John Preskill , Joseph Renes

Forecasting has always been at the forefront of decision making and planning. The uncertainty that surrounds the future is both exciting and challenging, with individuals and organisations seeking to minimise risks and maximise utilities.…

Applications · Statistics 2022-02-09 Fotios Petropoulos , Daniele Apiletti , Vassilios Assimakopoulos , Mohamed Zied Babai , Devon K. Barrow , Souhaib Ben Taieb , Christoph Bergmeir , Ricardo J. Bessa , Jakub Bijak , John E. Boylan , Jethro Browell , Claudio Carnevale , Jennifer L. Castle , Pasquale Cirillo , Michael P. Clements , Clara Cordeiro , Fernando Luiz Cyrino Oliveira , Shari De Baets , Alexander Dokumentov , Joanne Ellison , Piotr Fiszeder , Philip Hans Franses , David T. Frazier , Michael Gilliland , M. Sinan Gönül , Paul Goodwin , Luigi Grossi , Yael Grushka-Cockayne , Mariangela Guidolin , Massimo Guidolin , Ulrich Gunter , Xiaojia Guo , Renato Guseo , Nigel Harvey , David F. Hendry , Ross Hollyman , Tim Januschowski , Jooyoung Jeon , Victor Richmond R. Jose , Yanfei Kang , Anne B. Koehler , Stephan Kolassa , Nikolaos Kourentzes , Sonia Leva , Feng Li , Konstantia Litsiou , Spyros Makridakis , Gael M. Martin , Andrew B. Martinez , Sheik Meeran , Theodore Modis , Konstantinos Nikolopoulos , Dilek Önkal , Alessia Paccagnini , Anastasios Panagiotelis , Ioannis Panapakidis , Jose M. Pavía , Manuela Pedio , Diego J. Pedregal , Pierre Pinson , Patrícia Ramos , David E. Rapach , J. James Reade , Bahman Rostami-Tabar , Michał Rubaszek , Georgios Sermpinis , Han Lin Shang , Evangelos Spiliotis , Aris A. Syntetos , Priyanga Dilini Talagala , Thiyanga S. Talagala , Len Tashman , Dimitrios Thomakos , Thordis Thorarinsdottir , Ezio Todini , Juan Ramón Trapero Arenas , Xiaoqian Wang , Robert L. Winkler , Alisa Yusupova , Florian Ziel

We consider prediction theory for stationary stochastic processes in continuous time. We discuss prediction using the whole (infinite) past, and using only a finite section of the past. The solutions to both these classical problems have…

Probability · Mathematics 2021-11-17 N. H. Bingham

The rapid proliferation of large language models and natural language processing (NLP) applications creates a crucial need for uncertainty quantification to mitigate risks such as hallucinations and to enhance decision-making reliability in…

Computation and Language · Computer Science 2024-05-06 Margarida M. Campos , António Farinhas , Chrysoula Zerva , Mário A. T. Figueiredo , André F. T. Martins

The process of doing Science in condition of uncertainty is illustrated with a toy experiment in which the inferential and the forecasting aspects are both present. The fundamental aspects of probabilistic reasoning, also relevant in real…

History and Overview · Mathematics 2018-02-07 Giulio D'Agostini

Nuclear-structure effects often provide an irreducible theory error that prevents using precision atomic measurements to test fundamental theory. We apply newly developed effective field theory tools to Hydrogen atoms, and use them to show…

High Energy Physics - Phenomenology · Physics 2021-02-03 C. P. Burgess , P. Hayman , Markus Rummel , László Zalavári

This review article describes the trapping of charged particles. The main principles of electromagnetic confinement of various species from elementary particles to heavy atoms are briefly described. The preparation and manipulation with…

Atomic Physics · Physics 2010-02-14 K. Blaum , Yu. N. Novikov , G. Werth

The precision frontier in collider physics is being pushed at impressive speed, from both the experimental and the theoretical side. The aim of this review is to give an overview of recent developments in precision calculations within the…

High Energy Physics - Phenomenology · Physics 2021-06-14 Gudrun Heinrich

Astrophysics and cosmology can be used to test the standard model of particle physics under conditions and over distance and time scales not accessible to laboratory experiments. Most of the astrophysical observations are in good agreement…

High Energy Physics - Phenomenology · Physics 2016-09-01 Arnon Dar

Probabilistic models help us encode latent structures that both model the data and are ideally also useful for specific downstream tasks. Among these, mixture models and their time-series counterparts, hidden Markov models, identify…

Machine Learning · Computer Science 2021-10-29 Abhishek Sharma , Catherine Zeng , Sanjana Narayanan , Sonali Parbhoo , Finale Doshi-Velez

Cosmology provides an excellent laboratory for testing various aspects of neutrino physics. Here, I review the current status of cosmological searches for neutrino mass, as well as other properties of neutrinos. Future cosmological probes…

High Energy Physics - Phenomenology · Physics 2010-10-27 Steen Hannestad

This review consists of three parts: (a) what every atomic physicist needs to know about the physics of light nuclei; (b) what nuclear physicists can do for atomic physics; (c) what atomic physicists can do for nuclear physics. A brief…

Nuclear Theory · Physics 2015-06-26 J. L. Friar

High energy physics aims to understand the fundamental laws of particles and their interactions at both the largest and smallest scales of the universe. This typically means probing very high energies or large distances or using…

Numerical simulations have become an important tool to understand and predict non-perturbative phenomena in particle physics. In this article we attempt to present a general overview over the field. First, the basic concepts of lattice…

High Energy Physics - Lattice · Physics 2010-12-17 F. Karsch , E. Laermann

In this work we present a brief discussion about modified and extended cosmological models using current observational tests. We show that according to these astrophysical samples based in late universe measurements, theories like $f(R)$…

General Relativity and Quantum Cosmology · Physics 2021-01-25 Celia Escamilla-Rivera

Approximate inference in dynamic systems is the problem of estimating the state of the system given a sequence of actions and partial observations. High precision estimation is fundamental in many applications like diagnosis, natural…

Artificial Intelligence · Computer Science 2012-06-18 Hannaneh Hajishirzi , Eyal Amir

In this paper, we introduce for the first time the notions of neutrosophic measure and neutrosophic integral, and we develop the 1995 notion of neutrosophic probability. We present many practical examples. It is possible to define the…

Artificial Intelligence · Computer Science 2013-12-02 Florentin Smarandache

Observations on the past provide some hints about what will happen in the future, and this can be quantified using information theory. The ``predictive information'' defined in this way has connections to measures of complexity that have…

Statistical Mechanics · Physics 2007-05-23 William Bialek , Naftali Tishby

One of the central aims of neuroscience is to reliably predict the behavioral response of an organism using its neural activity. If possible, this implies we can causally manipulate the neural response and design brain-computer-interface…

Neurons and Cognition · Quantitative Biology 2025-04-01 Jayanth R Taranath

Model checking and testing are two areas with a similar goal: to verify that a system satisfies a property. They start with different hypothesis on the systems and develop many techniques with different notions of approximation, when an…

Logic in Computer Science · Computer Science 2013-04-19 M. C. Gaudel , R. Lassaigne , F. Magniez , M. de Rougemont