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The goal of data-driven learning of dynamical systems is to interpret time series as a continuous observation of an underlying dynamical system. This task is not well-posed for a variety of reasons - such as multiple co-existing…

Dynamical Systems · Mathematics 2026-01-21 Suddhasattwa Das , Tomoharu Suda

The ability to find short representations, i.e. to compress data, is crucial for many intelligent systems. We present a theory of incremental compression showing that arbitrary data strings, that can be described by a set of features, can…

Information Theory · Computer Science 2020-09-15 Arthur Franz , Oleksandr Antonenko , Roman Soletskyi

Pattern-matching programming is an example of a rule-based programming style developed in functional languages. This programming style is intensively used in dialects of ML but is restricted to algebraic data-types. This restriction limits…

Programming Languages · Computer Science 2009-12-25 Julien Cohen

A method for representing the digest information of each dataset is proposed, oriented to the aid of innovative thoughts and the communication of data users who attempt to create valuable products, services, and business models using or…

Databases · Computer Science 2022-08-09 Yukio Ohsawa , Kaira Sekiguchi , Tomohide Maekawa , Hiroki Yamaguchi , Son Yeon Hyuk , Sae Kondo

We describe a new approach to data modeling, called the concept-oriented model (COM), and a novel concept-oriented query language (COQL). The model is based on three principles: duality principle postulates that any element is a couple…

Databases · Computer Science 2010-08-03 Alexandr Savinov

In designing an intelligent system that must be able to explain its reasoning to a human user, or to provide generalizations that the human user finds reasonable, it may be useful to take into consideration psychological data on what types…

Artificial Intelligence · Computer Science 2013-04-15 James E. Corter , Mark A. Gluck

This paper introduces a set of terms that are intended to act as an interface between cyber ontologies (like a file system ontology or a data fusion ontology) and top- and mid-level ontologies, specifically Basic Formal Ontology and the…

Artificial Intelligence · Computer Science 2024-08-19 David Limbaugh , Mark Jensen , John Beverley

Purpose: This article describes the interviews we conducted in late 2021 with 19 researchers at the Department of Classical Philology and Italian Studies at the University of Bologna. The main purpose was to shed light on the definition of…

Digital Libraries · Computer Science 2022-11-09 Bianca Gualandi , Luca Pareschi , Silvio Peroni

We describe a novel classifier with a tree structure, designed using information theory concepts. This Information Network is made of information nodes, that compress the input data, and multiplexers, that connect two or more input nodes to…

Machine Learning · Computer Science 2018-03-07 Giulio Franzese , Monica Visintin

Trees -- i.e., the type of data structure known under this name -- are central to many aspects of knowledge organization. We investigate some central design choices concerning the ontological modeling of such trees. In particular, we…

Artificial Intelligence · Computer Science 2017-10-17 David Carral , Pascal Hitzler , Hilmar Lapp , Sebastian Rudolph

Citations are the cornerstone of knowledge propagation and the primary means of assessing the quality of research, as well as directing investments in science. Science is increasingly becoming "data-intensive", where large volumes of data…

Digital Libraries · Computer Science 2017-09-28 Gianmaria Silvello

In data modelling, product information has most often been handled separately from process information. The integration of product and process models in a unified data model could provide the means by which information could be shared…

Instrumentation and Detectors · Physics 2007-05-23 J. -M. Le Goff , I. Willers , Z. Kovacs , R. McClatchey

Archetype and archetypoid analysis can be extended to functional data. Each function is represented as a mixture of actual observations (functional archetypoids) or functional archetypes, which are a mixture of observations in the data set.…

Methodology · Statistics 2016-09-02 Irene Epifanio

This paper provides the reader with a very brief introduction to some of the theory and methods of text data mining. The intent of this article is to introduce the reader to some of the current methodologies that are employed within this…

Machine Learning · Statistics 2008-07-17 Jeffrey Solka

For any class of operators which transform unary total functions in the set of natural numbers into functions of the same kind, we define what it means for a real function to be uniformly computable or conditionally computable with respect…

Logic · Mathematics 2013-10-23 Ivan Georgiev , Dimiter Skordev

We introduce a new type of shift dynamics as an extended model of symbolic dynamics, and investigate the characteristics of shift spaces from the viewpoints of both dynamics and computation. This shift dynamics is called a functional shift…

Chaotic Dynamics · Physics 2009-11-10 Jun Namikawa , Takashi Hashimoto

Basically information means selection within a domain (value or definition set) of possibilities. For objectifiable, comparable and precise information the domain should be the same for all. Therefore the global (online) definition of the…

Information Retrieval · Computer Science 2016-03-04 Wolfgang Orthuber

The emerging practice of data-driven storytelling is framing data using familiar narrative mechanisms such as slideshows, videos, and comics to make even highly complex phenomena understandable. However, current data stories are still not…

Human-Computer Interaction · Computer Science 2025-11-18 Zhenpeng Zhao , Niklas Elmqvist

A formal model of the structure of information is presented in five axioms which define identity, containment, and joins of infons. Joins are shown to be commutative, associative, provide inverses of infons, and, potentially, have many…

Logic in Computer Science · Computer Science 2007-05-23 Bruce Long

Despite the wide usage of information as a concept in science, we have yet to develop a clear & concise scientific definition. This paper is aimed at laying the foundations for a new theory concerning the mechanics of information alongside…

General Physics · Physics 2017-07-13 Kiyam Lin , SongLing Lin