Limitations of Archaeological Inference: An Information-Theoretic Approach with Applications in Methodology

1973 ◽  
Vol 38 (2) ◽  
pp. 131-149 ◽  
Author(s):  
John S. Justeson
Keyword(s):  
Information Theory ◽  
Theoretic Approach ◽  
Information Theoretic ◽  
Design Elements ◽  
Utility Of Information ◽  
Information Theoretic Measures ◽  
Information Theoretic Approach

AbstractA framework is established for the application of information-theoretic concepts to the study of archaeological inference, ultimately to provide an estimate of the degree to which archaeologists, or anthropologists in general, can provide legitimate answers to the questions they investigate. Particular information-theoretic measures are applied to the design elements on the ceramics of a southwestern pueblo to show the methodological utility of information theory in helping to reach closer to that limit.

scholarly journals REALISMO, STRUTTURA, INFORMAZIONE

2017 ◽  
Author(s):  
Cristian Mariani
Keyword(s):  
Information Theory ◽  
Quantum Information ◽  
Scientific Practice ◽  
Quantum Information Theory ◽  
Theoretic Approach ◽  
Information Theoretic ◽  
Standard Object ◽  
The Common ◽  
Informational Realism ◽  
Information Theoretic Approach

In recent years, many scholars (Ladyman & Ross [39]; Floridi [25]; Bynum [9]) have been discussing the possibility of an ‘informational’ realism. The common idea behind these projects is that of taking the notion of ‘information’ as the central concept of both our scientific practice and our ontology. At the same time, many experts in Quantum Information Theory (Lloyd [40]; Vedral [53]; Chiribella, D’Ariano & Perinotti [14]) have developed the idea that it is possible to ground all our physical theories by following an information-theoretic approach. In what follows, I aim at showing that it is still not at all clear what does it mean to be an ‘informational realist’. Consequently, I show the reasons why I believe is misleading to talk about informational realism as something that could actually supersede the most common forms of realism, namely the standard ‘object oriented’ and the structural ones. Finally, I suggest that the only plausible way to define informational realism, and thus, more generally, to take a realist attitudine towards Quantum Information Theory, is that of assuming an epistemic and moderate structural position.

scholarly journals Quantitative Characterization of Complex Systems—An Information Theoretic Approach

2021 ◽  
Vol 4 (4) ◽  
pp. 99
Author(s):  
Aditya Akundi ◽  
Eric Smith
Keyword(s):  
Information Theory ◽  
Complex Systems ◽  
Theoretic Approach ◽  
Systems Of Systems ◽  
Information Theoretic ◽  
Theoretical Approaches ◽  
The Social ◽  
Information Theoretic Approach

A significant increase in System-of-Systems (SoS) is currently observed in the social and technical domains. As a result of the increasing number of constituent system components, Systems of Systems are becoming larger and more complex. Recent research efforts have highlighted the importance of identifying innovative statistical and theoretical approaches for analyzing complex systems to better understand how they work. This paper portrays the use of an agnostic two-stage examination structure for complex systems aimed towards developing an information theory-based approach to analyze complex technical and socio-technical systems. Towards the goal of characterizing system complexity with information entropy, work was carried out in exploring the potential application of entropy to a simulated case study to illustrate its applicability and to establish the use of information theory within the broad horizon of complex systems. Although previous efforts have been made to use entropy for understanding complexity, this paper provides a basic foundation for identifying a framework to characterize complexity, in order to analyze and assess complex systems in different operational domains.

scholarly journals Renyi and Tsallis formulations of noise-disturbance trade-off relations

2016 ◽  
Vol 16 (3&4) ◽  
pp. 313-331
Author(s):  
Alexey E. Rastegin
Keyword(s):  
Probability Distributions ◽  
Conditional Entropy ◽  
Uncertainty Relations ◽  
Theoretic Approach ◽  
Trade Off ◽  
Information Theoretic ◽  
Entropic Uncertainty Relations ◽  
Related Information ◽  
Information Theoretic Measures ◽  
Information Theoretic Approach

We address an information-theoretic approach to noise and disturbance in quantum measurements. Properties of corresponding probability distributions are characterized by means of both the R´enyi and Tsallis entropies. Related information-theoretic measures of noise and disturbance are introduced. These definitions are based on the concept of conditional entropy. To motivate introduced measures, some important properties of the conditional R´enyi and Tsallis entropies are discussed. There exist several formulations of entropic uncertainty relations for a pair of observables. Trade-off relations for noise and disturbance are derived on the base of known formulations of such a kind.

scholarly journals Towards an Information-Theoretic Approach to Population Structure

10.29007/268w ◽  
2018 ◽  
Author(s):  
Omri Tal
Keyword(s):  
Population Structure ◽  
Quantitative Information ◽  
Axiomatic Approach ◽  
Information Measure ◽  
Theoretic Approach ◽  
Information Theoretic ◽  
Decision Theoretic Approach ◽  
Information Theoretic Measures ◽  
Source Populations ◽  
Information Theoretic Approach

This paper uses an information-theoretic perspective to propose multi-locus informativeness measures for ancestry inference. These measures describe the potential for correct classification of unknown individuals to their source populations, given genetic data on population structure. Motivated by Shannon's axiomatic approach in deriving a unique information measure for communication (Shannon 1948), we first identify a set of intuitively justifiable criteria that any such quantitative information measure should satisfy, and then select measures that comply with these criteria. It is shown that standard information-theoretic measures such as multidimensional mutual information cannot completely account for informativeness when source populations differ in size, necessitating a decision-theoretic approach.

scholarly journals Information theory and dimensionality of space

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Subhash Kak
Keyword(s):  
Information Theory ◽  
Hausdorff Dimension ◽  
Hubble Constant ◽  
Theoretical Explanation ◽  
Physical Principle ◽  
Theoretic Approach ◽  
Information Theoretic ◽  
Optimal Representation ◽  
Information Theoretic Approach ◽  
Dimensionality Of Space

AbstractWe present an information-theoretic approach to the optimal representation of the intrinsic dimensionality of data and show it is a noninteger. Since optimality is accepted as a physical principle, this provides a theoretical explanation for why noninteger dimensions are useful in many branches of physics, where they have been introduced based on experimental considerations. Noninteger dimensions correlate with lesser density as in the Hausdorff dimension and this can have measurable effects. We use the lower density of noninteger dimension to resolve the problem of two different values of the Hubble constant obtained using different methods.

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