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Complex systems are found in most branches of science. It is still argued how to best quantify their complexity and to what end. One prominent measure of complexity (the statistical complexity) has an operational meaning in terms of the…

Data Analysis, Statistics and Probability · Physics 2011-10-24 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

Large language models (LLMs) have achieved remarkable progress in natural language generation, yet they continue to display puzzling behaviors -- such as repetition and incoherence -- even when exhibiting low perplexity. This highlights a…

Computation and Language · Computer Science 2025-10-27 Xin Du , Kumiko Tanaka-Ishii

Characteristics extracted from the training datasets of classification problems have proven to be effective predictors in a number of meta-analyses. Among them, measures of classification complexity can be used to estimate the difficulty in…

Machine Learning · Computer Science 2021-01-01 Ana C. Lorena , Luís P. F. Garcia , Jens Lehmann , Marcilio C. P. Souto , Tin K. Ho

Software is among the most complex endeavors of the human mind; large scale systems can have tens of millions of lines of source code. However, seldom is complexity measured above the lowest level of code, and sometimes source code files or…

Software Engineering · Computer Science 2011-05-13 Alejandro Fernández

Compositionality is a widely discussed property of natural languages, although its exact definition has been elusive. We focus on the proposal that compositionality can be assessed by measuring meaning-form correlation. We analyze…

Computation and Language · Computer Science 2020-12-08 Timothee Mickus , Timothée Bernard , Denis Paperno

Complexity measures in the context of the Integrated Information Theory of consciousness try to quantify the strength of the causal connections between different neurons. This is done by minimizing the KL-divergence between a full system…

Methodology · Statistics 2021-02-09 Carlotta Langer , Nihat Ay

There are many dimensions of software complexity. In this article, we explore how structural complexity is measured and used to study and control evolving software systems. We also present the current research challenges and emerging trends…

Software Engineering · Computer Science 2016-08-05 Tom Mens

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

Disordered Systems and Neural Networks · Physics 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

Although Perplexity is a widely used performance metric for language models, the values are highly dependent upon the number of words in the corpus and is useful to compare performance of the same corpus only. In this paper, we propose a…

Computation and Language · Computer Science 2020-11-30 Jihyeon Roh , Sang-Hoon Oh , Soo-Young Lee

The traditional approach to morphological inflection (the task of modifying a base word (lemma) to express grammatical categories) has been, for decades, to consider lexical entries of lemma-tag-form triples uniformly, lacking any…

Computation and Language · Computer Science 2025-10-28 Tomáš Sourada , Jana Straková

Data complexity is an important concept in the natural sciences and related areas, but lacks a rigorous and computable definition. In this paper, we focus on a particular sense of complexity that is high if the data is structured in a way…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Louis Mahon

We have proposed novel measures based on the Kolmogorov complexity for use in complex system behavior studies and time series analysis. We have considered background of the Kolmogorov complexity and also we have discussed meaning of the…

Chaotic Dynamics · Physics 2013-10-07 Dragutin T. Mihailovic , Gordan Mimic , Emilija Nikolic-Djoric , Ilija Arsenic

The measurement of phrasal semantic relatedness is an important metric for many natural language processing applications. In this paper, we present three approaches for measuring phrasal semantics, one based on a semantic network model,…

Computation and Language · Computer Science 2017-08-22 Reda Siblini , Leila Kosseim

This paper investigates the influence of discourse features on text complexity assessment. To do so, we created two data sets based on the Penn Discourse Treebank and the Simple English Wikipedia corpora and compared the influence of…

Computation and Language · Computer Science 2017-08-22 Elnaz Davoodi , Leila Kosseim

With even the most trivial of applications now being written on top of millions of lines code of libraries, API's, and programming languages, much of the complexity that used to exist when designing software has been abstracted away to…

Software Engineering · Computer Science 2017-11-29 Charles Hathaway , Ron Eglash , Mukkai Krishnamoorthy

While we have intuitive notions of structure and complexity, the formalization of this intuition is non-trivial. The statistical complexity is a popular candidate. It is based on the idea that the complexity of a process can be quantified…

Quantum Physics · Physics 2014-09-24 Ryan Tan , Daniel R. Terno , Jayne Thompson , Vlatko Vedral , Mile Gu

A methodology based upon recurrence quantification analysis is proposed for the study of orthographic structure of written texts. Five different orthographic data sets (20th century Italian poems, 20th century American poems, contemporary…

cmp-lg · Computer Science 2012-08-27 F. Orsucci , K. Walter , A. Giuliani , C. L. Webber, , J. P. Zbilut

Economic transformation -- change in what an economy produces -- is foundational to development and rising standards of living. Our understanding of this process has been propelled recently by two branches of work in the field of economic…

Physics and Society · Physics 2023-03-28 James McNerney , Yang Li , Andres Gomez-Lievano , Frank Neffke

Urban morphology has a significant impact on sustainable urban outcomes in the ecological, social, and economic sectors. Nonetheless, academics lack clarity and consensus on how to quantify urban morphology indicators, which impedes…

Physics and Society · Physics 2025-08-13 Mahshid Gorjian

Data Science and Machine Learning have become fundamental assets for companies and research institutions alike. As one of its fields, supervised classification allows for class prediction of new samples, learning from given training data.…

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