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This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

动力系统 · 数学 2014-11-04 Ugo Galvanetto , Luca Magri

In [Sch05a], it is argued that Boltzmann's intuition, that the psychological arrow of time is necessarily aligned with the thermodynamic arrow, is correct. Schulman gives an explicit physical mechanism for this connection, based on the…

统计力学 · 物理学 2009-12-11 O. J. E. Maroney

In software system design, one of the purposes of diagrammatic modeling is to explain something (e.g., data tables) to others. Very often, syntax of diagrams is specified while the intended meaning of diagrammatic constructs remains…

软件工程 · 计算机科学 2022-10-05 Sabah Al-Fedaghi

It is brought forward that viable theories of the physical world that have no variable at all that can play the role of time, do not exist; some notion of time is one of the very first ingredients a candidate theory should possess. Almost…

量子物理 · 物理学 2018-04-05 Gerard t Hooft

This is the first of five papers comprising The Semantic Arrow of Time. The argument begins with a claim: computing's arrow of time is semantic, not thermodynamic. The direction in which meaning is preserved or destroyed across transactions…

分布式、并行与集群计算 · 计算机科学 2026-03-03 Paul Borrill

Dynamical Systems theory generally deals with fixed point iterations of continuous functions. Computation by Turing machine although is a fixed point iteration but is not continuous. This specific category of fixed point iterations can only…

其他计算机科学 · 计算机科学 2014-10-31 Nabarun Mondal , Partha P. Ghosh

Timed Transition Models (TTMs) are event-based descriptions for modelling, specifying, and verifying discrete real-time systems. An event can be spontaneous, fair, or timed with specified bounds. TTMs have a textual syntax, an operational…

软件工程 · 计算机科学 2015-06-12 Chen-Wei Wang , Jonathan S. Ostroff , Simon Hudon

Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of universality that applies to arbitrary discrete time symbolic dynamical…

计算复杂性 · 计算机科学 2007-05-23 Jean-Charles Delvenne , Petr Kurka , Vincent Blondel

Fundamental laws of physics are symmetric under time reversal ($T$) symmetry, but the $T$ symmetry is strongly broken in the macroscopic world. In this Perspective, I review $T$ symmetry breaking frameworks: \textit{second law of…

统计力学 · 物理学 2024-12-06 Mahendra K. Verma

We introduce a new type of generalized Turing machines (GTMs), which are intended as a tool for the mathematician who studies computability in Analysis. In a single tape cell a GTM can store a symbol, a real number, a continuous real…

逻辑 · 数学 2015-07-01 Nazanin Tavana , Klaus Weihrauch

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…

计算复杂性 · 计算机科学 2012-03-16 Yaroslav D. Sergeyev , Alfredo Garro

This paper has a dual character, combining a philosophical ontological exploration with a conceptual modeling approach in systems and software engineering. Such duality is already practiced in software engineering, in which the current…

软件工程 · 计算机科学 2023-02-15 Sabah Al-Fedaghi

In this paper, we describe an approach that enables an autonomous system to infer the semantics of a command (i.e. a symbol sequence representing an action) in terms of the relations between changes in the observations and the action…

机器学习 · 计算机科学 2013-07-30 Martin E. Mueller , Madhura D. Thosar

Tsetlin Machine (TM) has been gaining popularity as an inherently interpretable machine leaning method that is able to achieve promising performance with low computational complexity on a variety of applications. The interpretability and…

机器学习 · 计算机科学 2022-12-29 Jivitesh Sharma , Ole-Christoffer Granmo , Lei Jiao

In the field of knowledge representation, the considered epistemic states are often based on propositional interpretations, also called worlds. E.g., epistemic states of agents can be modelled by ranking functions or total preorders on…

人工智能 · 计算机科学 2022-03-29 Jonas Haldimann , Christoph Beierle

The epistemic arrow of time is the fact that our knowledge of the past seems to be both of a different kind and more detailed than our knowledge of the future. Just like with the other arrows of time, it has often been speculated that the…

物理学史与哲学 · 物理学 2023-09-21 David H. Wolpert , Jens Kipper

Modern approaches to causal modeling give a central role to interventions, which require the active input of an observer and introduces an explicit `causal arrow of time'. Causal models typically adopt a mechanistic interpretation,…

量子物理 · 物理学 2019-08-23 Jacques Pienaar

With the increasing impact of algorithmic decision-making on human lives, the interpretability of models has become a critical issue in machine learning. Counterfactual explanation is an important method in the field of interpretable…

机器学习 · 计算机科学 2024-07-17 Ao Xu , Tieru Wu

The notion of concept drift refers to the phenomenon that the distribution generating the observed data changes over time. If drift is present, machine learning models can become inaccurate and need adjustment. While there do exist methods…

机器学习 · 计算机科学 2023-03-17 Fabian Hinder , Valerie Vaquet , Johannes Brinkrolf , Barbara Hammer

One of the basic assumptions underlying Bell's theorem is the causal arrow of time, having to do with temporal order rather than spatial separation. Nonetheless, the physical assumptions regarding causality are seldom studied in this…

量子物理 · 物理学 2018-07-03 Nathan Argaman