General probabilistic theories: An introduction

M Plávala - Physics Reports, 2023 - Elsevier
We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a
class of operational theories that generalize both finite-dimensional classical and quantum …

[HTML][HTML] Quantum semantics of text perception

IA Surov, E Semenenko, AV Platonov, IA Bessmertny… - Scientific Reports, 2021 - nature.com
The paper presents quantum model of subjective text perception based on binary cognitive
distinctions corresponding to words of natural language. The result of perception is quantum …

[PDF][PDF] On testing the simulation theory

T Campbell, H Owhadi, J Sauvageau… - arXiv preprint arXiv …, 2017 - core.ac.uk
Can the theory that reality is a simulation be tested? We investigate this question based on
the assumption that if the system performing the simulation is finite (ie has limited …

Universal scalable robust solvers from computational information games and fast eigenspace adapted multiresolution analysis

H Owhadi, C Scovel - arXiv preprint arXiv:1703.10761, 2017 - arxiv.org
We show how the discovery of robust scalable numerical solvers for arbitrary bounded linear
operators can be automated as a Game Theory problem by reformulating the process of …

Desirability foundations of robust rational decision making

M Zaffalon, E Miranda - Synthese, 2021 - Springer
Recent work has formally linked the traditional axiomatisation of incomplete preferences à la
Anscombe-Aumann with the theory of desirability developed in the context of imprecise …

Positive maps and trace polynomials from the symmetric group

F Huber - Journal of Mathematical Physics, 2021 - pubs.aip.org
With techniques borrowed from quantum information theory, we develop a method to
systematically obtain operator inequalities and identities in several matrix variables. These …

[HTML][HTML] The weirdness theorem and the origin of quantum paradoxes

A Benavoli, A Facchini, M Zaffalon - Foundations of Physics, 2021 - Springer
We argue that there is a simple, unique, reason for all quantum paradoxes, and that such a
reason is not uniquely related to quantum theory. It is rather a mathematical question that …

[HTML][HTML] An Extended Zeta Function with Applications in Model Building and Bayesian Analysis

AM Mathai - Mathematics, 2023 - mdpi.com
In certain problems in model building and Bayesian analysis, the results end up in forms
connected with generalized zeta functions. This necessitates the introduction of an extended …

A functional contextual, observer-centric, quantum mechanical, and neuro-symbolic approach to solving the alignment problem of artificial general intelligence: safe AI …

DJ Edwards - Frontiers in computational neuroscience, 2024 - frontiersin.org
There have been impressive advancements in the field of natural language processing
(NLP) in recent years, largely driven by innovations in the development of transformer-based …

A theory of desirable things

J De Bock - International Symposium on Imprecise …, 2023 - proceedings.mlr.press
Inspired by the theory of desirable gambles that is used to model uncertainty in the field of
imprecise probabilities, I present a theory of desirable things. Its aim is to model a subject's …