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Utilizing our recent proximal-average based results on the constructive extension of monotone operators, we provide a novel approach to the celebrated Kirszbraun-Valentine Theorem and to the extension of firmly nonexpansive mappings.

Functional Analysis · Mathematics 2008-07-09 Heinz H. Bauschke , Xianfu Wang

Markov processes are popular mathematical models, studied by theoreticians for their intriguing properties, and applied by practitioners for their flexible structure. With this book we teach how to model and analyze Markov processes. We…

Probability · Mathematics 2017-09-27 Ivo Adan , Johan van Leeuwaarden , Jori Selen

Narrative is a ubiquitous component of human communication. Understanding its structure plays a critical role in a wide variety of applications, ranging from simple comparative analyses to enhanced narrative retrieval, comprehension, or…

Computation and Language · Computer Science 2023-02-21 Prashanth Vijayaraghavan , Deb Roy

Starting from a corpus of economic articles from The Wall Street Journal, we present a novel systematic way to analyse news content that evolves over time. We leverage on state-of-the-art natural language processing techniques (i.e. GPT3.5)…

Computational Finance · Quantitative Finance 2023-11-27 Deborah Miori , Constantin Petrov

This paper presents a new approach for analysing structural properties of time series from complex systems. Starting from the concept of recurrences in phase space, the recurrence matrix of a time series is interpreted as the adjacency…

Chaotic Dynamics · Physics 2011-03-03 Reik V. Donner , Y. Zou , Jonathan F. Donges , Norbert Marwan , Juergen Kurths

Literary analysis, criticism or studies is a largely valued field with dedicated journals and researchers which remains mostly within the humanities scope. Text analytics is the computer-aided process of deriving information from texts. In…

Computation and Language · Computer Science 2017-10-26 Renato Fabbri , Luis Henrique Garcia

Several systems have been developed to extract information about characters to aid computational analysis of English literature. We propose character similarity grouping as a holistic evaluation task for these pipelines. We present…

Computation and Language · Computer Science 2024-08-30 Funing Yang , Carolyn Jane Anderson

Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties of systems composed of different interacting entities. During the last years, intensive efforts…

I apply Schmidhuber's compression progress theory of interestingness at corpus scale, analyzing semantic novelty trajectories in more than 80,000 books spanning two centuries of English-language publishing. Using sentence-transformer…

Computation and Language · Computer Science 2026-03-03 Fred Zimmerman

This study applies symbolic time series analysis and Markov modeling to explore the phonological structure of Evgenij Onegin-as captured through a graphemic vowel/consonant (V/C) encoding-and one contemporary Italian translation. Using a…

Computation and Language · Computer Science 2026-04-23 Angelo Maria Sabatini

Based on the assumption that economic complexity is characterised by the interactions of economic agents (who) constantly change their actions and strategies in response to the outcome they mutually create, this paper presents how network…

Physics and Society · Physics 2017-03-09 Johannes Preiser-Kapeller

Given a user's historical interaction sequence, online novel recommendation suggests the next novel the user may be interested in. Online novel recommendation is important but underexplored. In this paper, we concentrate on recommending…

Information Retrieval · Computer Science 2022-09-07 Yuncong Li , Cunxiang Yin , Yancheng He , Guoqiang Xu , Jing Cai , Leeven Luo , Sheng-hua Zhong

The Greek fictional narratives often termed love novels or romances, ranging from the first century CE to the middle of the 15th century, have long been considered as similar in many ways, not least in the use of particular literary motifs.…

Computation and Language · Computer Science 2025-05-01 Emelie Hallenberg

This paper introduces a periodic multivariate Poisson autoregression with potentially infinite memory, with a special focus on the network setting. Using contraction techniques, we study the stability of such a process and provide upper…

Statistics Theory · Mathematics 2025-04-04 Mahmoud Khabou , Edward A. K. Cohen , Almut E. D. Veraart

Research into the stylistic properties of translations is an issue which has received some attention in computational stylistics. Previous work by Rybicki (2006) on the distinguishing of character idiolects in the work of Polish author…

Computation and Language · Computer Science 2015-01-06 Gerard Lynch , Carl Vogel

Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or…

Machine Learning · Statistics 2014-02-06 Scott W. Linderman , Ryan P. Adams

In many applications, it is important to derive information about the topology and the internal connections of dynamical systems interacting together. Examples can be found in fields as diverse as Economics, Neuroscience and Biochemistry.…

Dynamical Systems · Mathematics 2011-03-04 D. Materassi , G. Innocenti , L. Giarré , M. Salapaka

Doubly intractable models are encountered in a number of fields, e.g. social networks, ecology and epidemiology. Inference for such models requires the evaluation of a likelihood function, whose normalising factor depends on the model…

Methodology · Statistics 2025-08-25 Yu Yang , Matias Quiroz , Robert Kohn , Scott A. Sisson

The ability of machines to grasp spatial understanding within narrative contexts is an intriguing aspect of reading comprehension that continues to be studied. Motivated by the goal to test the AI's competence in understanding the…

Computation and Language · Computer Science 2025-04-07 Batuhan Ozyurt , Roya Arkhmammadova , Deniz Yuret

The use of the open and searchable Wittgenstein's Nachlass (The Wittgenstein Archives at the University of Bergen (WAB)) has proved instrumental in the quest for a common thread of Wittgenstein's view on the connections between meaning, use…

History and Overview · Mathematics 2025-04-29 Ruy J. G. B. de Queiroz