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The absence of information -- entirely or partly -- is called ignorance. Naturally, one might ask if some ignorance of a whole system will imply some ignorance of its parts. Our classical intuition tells us yes, however quantum theory tells…

Quantum Physics · Physics 2020-11-22 M. J. Kewming , S. Shrapnel , A. G. White , J. Romero

In real-world object recognition, there are numerous object classes to be recognized. Conventional image recognition based on supervised learning can only recognize object classes that exist in the training data, and thus has limited…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Kohei Uehara , Tatsuya Harada

Adopting the scientific method a theoretical model is proposed as foundation for information science and technology, extending the existing theory of signaling: a fact f becomes known in a physical system only following the success of a…

Other Computer Science · Computer Science 2009-02-01 A. P. Young

Analyzing the dimension of an unknown quantum system in a device-independent manner, i.e., using only the measurement statistics, is a fundamental task in quantum physics and quantum information theory. In this paper, we consider this…

Quantum Physics · Physics 2016-11-02 Jamie Sikora , Antonios Varvitsiotis , Zhaohui Wei

Multimodal counterfactual reasoning is a vital yet challenging ability for AI systems. It involves predicting the outcomes of hypothetical circumstances based on vision and language inputs, which enables AI models to learn from failures and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-06 Te-Lin Wu , Zi-Yi Dou , Qingyuan Hu , Yu Hou , Nischal Reddy Chandra , Marjorie Freedman , Ralph M. Weischedel , Nanyun Peng

Even when completely and consistently formulated, a fundamental theory of physics and cosmological boundary conditions may not give unambiguous and unique predictions for the universe we observe; indeed inflation, string/M theory, and…

High Energy Physics - Theory · Physics 2009-10-07 Anthony Aguirre , Max Tegmark

The Universe is a physical object. Physical objects have shapes and sizes. General relativity is insufficient to describe the global shape and size of the Universe: the Hilbert-Einstein equations only treat limiting quantities towards an…

Astrophysics · Physics 2007-05-23 B. F. Roukema

In-principle restrictions on the amount of information that can be gathered about a system have been proposed as a foundational principle in several recent reconstructions of the formalism of quantum mechanics. However, it seems unclear…

Quantum Physics · Physics 2018-10-19 Jochen Szangolies

We present a theory of information expressed solely in terms of which transformations of physical systems are possible and which are impossible - i.e. in constructor-theoretic terms. Although it includes conjectured laws of physics that are…

Quantum Physics · Physics 2015-06-19 David Deutsch , Chiara Marletto

The information provided by a classical measurement is unambiguously determined by the mutual information between the output results and the measured quantity. However, quantum mechanically there are at least two notions of information…

Quantum Physics · Physics 2007-05-23 Kurt Jacobs

Experiments in cognitive science and decision theory show that the ways in which people combine concepts and make decisions cannot be described by classical logic and probability theory. This has serious implications for applied disciplines…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

Given a physical device as a black box, one can in principle fully reconstruct its input-output transfer function by repeatedly feeding different input probes through the device and performing different measurements on the corresponding…

Quantum Physics · Physics 2019-11-20 Francesco Buscemi , Michele Dall'Arno

We have a lot of relation to the encoding and the Theory of Information, when considering thinking. This is a natural process and, at once, the complex thing we investigate. This always was a challenge - to understand how our mind works,…

Artificial Intelligence · Computer Science 2012-12-27 Kirill A. Sorudeykin

How far can we take the resource theoretic approach to explore physics? Resource theories like LOCC, reference frames and quantum thermodynamics have proven a powerful tool to study how agents who are subject to certain constraints can act…

Quantum Physics · Physics 2015-12-01 Lidia del Rio , Lea Kraemer , Renato Renner

The human's cognitive capacity for problem solving is always limited to his/her educational background, skills, experiences, etc. Hence, it is often insufficient to bring solution to extraordinary problems especially when there is a time…

Artificial Intelligence · Computer Science 2022-10-18 Ahmet Orun

The Turing machine is one of the simple abstract computational devices that can be used to investigate the limits of computability. In this paper, they are considered from several points of view that emphasize the importance and the…

Computational Complexity · Computer Science 2012-03-16 Yaroslav D. Sergeyev , Alfredo Garro

Information theory provides tools to predict the performance of a learning algorithm on a given dataset. For instance, the accuracy of learning an unknown parameter can be upper bounded by reducing the learning task to hypothesis testing…

Quantum Physics · Physics 2026-04-21 Evan Peters

In order to interact with objects in our environment, humans rely on an understanding of the actions that can be performed on them, as well as their properties. When considering concrete motor actions, this knowledge has been called the…

Computation and Language · Computer Science 2021-05-12 Ka Chun Lam , Francisco Pereira , Maryam Vaziri-Pashkam , Kristin Woodard , Emalie McMahon

Bekenstein has obtained is an upper limit on the entropy S, and from that, an information number bound N is deduced. In other words, this is the information contained within a given finite region of space that includes a finite amount of…

General Relativity and Quantum Cosmology · Physics 2014-06-13 Ioannis Haranas , Ioannis Gkigkitzis

One purpose -- quite a few thinkers would say the main purpose -- of seeking knowledge about the world is to enhance our ability to make good decisions. An item of knowledge that can make no conceivable difference with regard to anything we…

Artificial Intelligence · Computer Science 2013-04-12 Henry E. Kyburg