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An effective formalism for quantum constrained systems is presented which allows manageable derivations of solutions and observables, including a treatment of physical reality conditions without requiring full knowledge of the physical…

数学物理 · 物理学 2009-03-12 Martin Bojowald , Barbara Sandhoefer , Aureliano Skirzewski , Artur Tsobanjan

We propose upper and lower bounds on the maximum success probability for discriminating given quantum states. The proposed upper bound is obtained from a suboptimal solution to the dual problem of the corresponding optimal state…

量子物理 · 物理学 2018-01-12 Kenji Nakahira , Tsuyoshi Sasaki Usuda , Kentaro Kato

We establish bounds on the probability that two different agents, who share an initial opinion expressed as a probability distribution on an abstract probability space, given two different sources of information, may come to radically…

概率论 · 数学 2019-03-20 Krzysztof Burdzy , Jim Pitman

We introduce an alternative approach for the analysis and numerical approximation of the optimal feedback control mapping. It consists in looking at a typical optimal control problem in such a way that feasible controls are mappings…

最优化与控制 · 数学 2017-06-09 Pablo Pedregal

This text is an introduction to the study of NIP (or dependent) theories. It is meant to serve two purposes. The first is to present various aspects of NIP theories and give the reader the background material needed to understand almost any…

逻辑 · 数学 2014-07-22 Pierre Simon

It is still common wisdom amongst economists, politicians and lay people that economic growth is a necessity of our social systems, at least to avoid distributional conflicts. This paper challenges such belief moving from a purely physical…

综合经济学 · 经济学 2020-05-11 Angelo Tartaglia

In a recent preprint by Kiefer-Emmanouilidis, Unanyan, Fleischhauer and Sirker [arxiv:2203.06689] the authors comment on our work which studied the number entropy in strongly disordered systems. The data presented in the comment does not…

无序系统与神经网络 · 物理学 2022-05-13 Roopayan Ghosh , Marko Žnidarič

In response to the comment by Zhu and Berakdar (arXiv:1207.3457) that the physical system considered by them in their previous work [Ding et al., PRB 84, 115433 (2011)] is conceptually different from ours in the appendix of our latest paper…

介观与纳米尺度物理 · 物理学 2012-07-19 Y. Zhou , M. W. Wu

I review the philosophical literature on the question of when two physical theories are equivalent. This includes a discussion of empirical equivalence, which is often taken to be necessary, and sometimes taken to be sufficient, for…

物理学史与哲学 · 物理学 2018-10-19 James Owen Weatherall

We critically analyze a recent paper by D. Mermin and we compare his statements with Bell's position on the problems he is discussing.

量子物理 · 物理学 2009-11-13 GianCarlo Ghirardi

In this paper, paired comparison models with stochastic background are investigated. We focus on the models that allow three options for choice. We estimate all parameters, the strength of the objects and the boundaries of equal decision,…

最优化与控制 · 数学 2025-02-20 László Gyarmati , Csaba Mihálykó , Eva Orbán-Mihálykó , András Mihálykó

In this work, some counterexamples are given to refute some results reported in the paper by Guo and Li [8] (J Optim Theory Appl 162,(2014), 821-844). We correct the faulty in some of their theorems and we present alternative proofs.…

泛函分析 · 数学 2019-02-12 Allahkaram Shafie , Fari Bozorgnia

We consider the problem of rational decision making in the presence of nonlinear constraints. By using tools borrowed from spin glass and random matrix theory, we focus on the portfolio optimisation problem. We show that the number of…

无序系统与神经网络 · 物理学 2015-06-25 Stefano Galluccio , Jean-Philippe Bouchaud , Marc Potters

The title paper is discussed critically. There are major problems with incorrect statements, irrelevant citations, incorrect mathematics leading to incorrect results, which are compared with our own simulations.

应用物理 · 物理学 2026-05-06 Dieter Britz , Jörg Strutwolf

Counterfactuals have become an important area of interdisciplinary interest, especially in logic, philosophy of language, epistemology, metaphysics, psychology, decision theory, and even artificial intelligence. In this study, we propose a…

计算复杂性 · 计算机科学 2022-11-15 Nicholas Kluge Corrêa , Nythamar Fernandes De Oliveira

This paper explains why internal and external validity cannot be simultaneously maximised. It introduces "evidential states" to represent the information available for causal inference and shows that routine study operations (restriction,…

应用统计 · 统计学 2025-12-01 Daniel D. Reidpath

The aim of this note is to emphasize the fact that in many papers on invexity published in prestigious journals there are not clear definitions, trivial or not clear statements and wrong proofs. We also point out the unprofessional way of…

最优化与控制 · 数学 2012-03-07 Constantin Zalinescu

A detailed analysis of conditions on 2-body interaction potential, which ensure stability, superstability or strong superstability of statistical systems is given. There has been given the connection between conditions of superstability…

数学物理 · 物理学 2008-06-11 Oleksey Rebenko , Maksym Tertychnyi

This paper motivates the study of decision theory as necessary for aligning smarter-than-human artificial systems with human interests. We discuss the shortcomings of two standard formulations of decision theory, and demonstrate that they…

人工智能 · 计算机科学 2015-07-09 Nate Soares , Benja Fallenstein

In this letter we propose the use of physics techniques for entropy determination on constrained parameter optimization problems. The main feature of such techniques, the construction of an unbiased walk on energy space, suggests their use…

统计力学 · 物理学 2009-11-07 A. R. Lima , M. Argollo de Menezes