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A recent line of work in NLP focuses on the (dis)ability of models to generalise compositionally for artificial languages. However, when considering natural language tasks, the data involved is not strictly, or locally, compositional.…

Computation and Language · Computer Science 2023-02-01 Verna Dankers , Ivan Titov

Interaction mechanism in the acoustic communication of actual animals is investigated by combining mathematical modeling and empirical data. Here we use a deterministic mathematical model (a phase oscillator model) to describe the…

Adaptation and Self-Organizing Systems · Physics 2019-07-29 Kaiichiro Ota , Ikkyu Aihara , Toshio Aoyagi

During fieldwork in Thailand we observed nearly identical frequencies of co-located flashing fireflies and chirping crickets. Motivated by this, we perform a meta-analysis and show an abundance of evolutionarily distinct species that…

Neurons and Cognition · Quantitative Biology 2025-09-01 Guy Amichay , Vijay Balasubramanian , Daniel M. Abrams

The goal of this paper is to develop an estimate for the entropy of random long-range correlated symbolic sequences with elements belonging to a finite alphabet. As a plausible model, we use the high-order additive stationary ergodic Markov…

Information Theory · Computer Science 2014-12-12 S. S. Melnik , O. V. Usatenko

Animals in groups often exchange calls, in patterns whose temporal structure may be influenced by contextual factors such as physical location and the social network structure of the group. We introduce a model-based analysis for temporal…

Quantitative Methods · Quantitative Biology 2016-01-22 Dan Stowell , Lisa Gill , David Clayton

Recombining known primitive concepts into larger novel combinations is a quintessentially human cognitive capability. Whether large neural models in NLP can acquire this ability while learning from data is an open question. In this paper,…

Computation and Language · Computer Science 2023-08-02 Josef Valvoda , Naomi Saphra , Jonathan Rawski , Adina Williams , Ryan Cotterell

We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging…

Statistical Mechanics · Physics 2009-11-07 David P. Feldman , James P. Crutchfield

Entropy rate of sequential data-streams naturally quantifies the complexity of the generative process. Thus entropy rate fluctuations could be used as a tool to recognize dynamical perturbations in signal sources, and could potentially be…

Information Theory · Computer Science 2014-03-24 Ishanu Chattopadhyay , Hod Lipson

Neural networks often learn task-specific latent representations that fail to generalize to novel settings or tasks. Conversely, humans learn discrete representations (i.e., concepts or words) at a variety of abstraction levels (e.g.,…

Machine Learning · Computer Science 2023-10-30 Andi Peng , Mycal Tucker , Eoin Kenny , Noga Zaslavsky , Pulkit Agrawal , Julie Shah

A fundamental task in wireless communication is channel estimation: Compute the channel parameters a signal undergoes while traveling from a transmitter to a receiver. In the case of delay-Doppler channel, i.e., a signal undergoes only…

Information Theory · Computer Science 2013-09-25 Alexander Fish , Shamgar Gurevich

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

Long-range correlations are found in symbolic sequences from human language, music and DNA. Determining the span of correlations in dolphin whistle sequences is crucial for shedding light on their communicative complexity. Dolphin whistles…

Neurons and Cognition · Quantitative Biology 2014-12-03 Ramon Ferrer-i-Cancho , Brenda McCowan

Compositionality in knowledge and language--the ability to represent complex concepts as a combination of simpler ones--is a hallmark of human cognition and communication. Despite recent advances, deep neural networks still struggle to…

Machine Learning · Computer Science 2025-12-01 Rafael Elberg , Felipe del Rio , Mircea Petrache , Denis Parra

This paper will introduce a theory of emergent animal social complexity using various results from computational models and empirical results. These results will be organized into a vertical model of social complexity. This will support the…

Populations and Evolution · Quantitative Biology 2013-10-18 Bradly Alicea

Monitoring of bird populations has played a vital role in conservation efforts and in understanding biodiversity loss. The automation of this process has been facilitated by both sensing technologies, such as passive acoustic monitoring,…

Machine Learning · Computer Science 2021-08-23 Irina Tolkova , Brian Chu , Marcel Hedman , Stefan Kahl , Holger Klinck

We introduce a Maximum Entropy model able to capture the statistics of melodies in music. The model can be used to generate new melodies that emulate the style of the musical corpus which was used to train it. Instead of using the $n-$body…

Machine Learning · Statistics 2016-10-12 Jason Sakellariou , Francesca Tria , Vittorio Loreto , François Pachet

Entropy is a fundamental property of a repertoire. Here, we present an efficient algorithm to estimate the entropy of types with the help of Zhang's estimator. The algorithm takes advantage of the fact that the number of different…

Computation and Language · Computer Science 2017-07-27 Antoni Lozano , Bernardino Casas , Chris Bentz , Ramon Ferrer-i-Cancho

Whether a system is to be considered complex or not depends on how one searches for correlations. We propose a general scheme for calculation of entropies in lattice systems that has high flexibility in how correlations are successively…

Statistical Mechanics · Physics 2015-06-18 Torbjørn Helvik , Kristian Lindgren

We consider the stochastic patterns of a system of communicating, or coupled, self-propelled particles in the presence of noise and communication time delay. For sufficiently large environmental noise, there exists a transition between a…

Adaptation and Self-Organizing Systems · Physics 2012-04-23 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

Quantifying the similarity between symbolic sequences is a traditional problem in Information Theory which requires comparing the frequencies of symbols in different sequences. In numerous modern applications, ranging from DNA over music to…

Physics and Society · Physics 2016-04-18 Martin Gerlach , Francesc Font-Clos , Eduardo G. Altmann