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We propose a new method for the calculation of the statistical properties, as e.g. the entropy, of unknown generators of symbolic sequences. The probability distribution $p(k)$ of the elements $k$ of a population can be approximated by the…

chao-dyn · Physics 2009-10-28 Thorsten Pöschel , Werner Ebeling , Helge Rosé

We study the local limit distribution of the number of occurrences of a symbol in words of length $n$ generated at random in a regular language according to a rational stochastic model. We present an analysis of the main local limits when…

Probability · Mathematics 2021-02-19 Massimiliano Goldwurm , Jianyi Lin , Marco Vignati

Zipf's law is well known in linguistics: the frequency of a word is inversely proportional to its rank. This is a special case of a more general power law, a common phenomenon in many kinds of real-world statistical data. Here, it is shown…

Physics and Society · Physics 2022-10-28 Wim Hordijk

A family of information theoretic models of communication was introduced more than a decade ago to explain the origins of Zipf's law for word frequencies. The family is a based on a combination of two information theoretic principles:…

Physics and Society · Physics 2020-09-24 Ramon Ferrer-i-Cancho

Human language, as a typical complex system, its organization and evolution is an attractive topic for both physical and cultural researchers. In this paper, we present the first exhaustive analysis of the text organization of human speech.…

Computation and Language · Computer Science 2015-01-08 Ruokuang Lin , Qianli D. Y. Ma , Chunhua Bian

Probabilistic programming is becoming increasingly popular thanks to its ability to specify problems with a certain degree of uncertainty. In this work, we focus on term rewriting, a well-known computational formalism. In particular, we…

Programming Languages · Computer Science 2025-03-20 Germán Vidal

A well-known challenge in the semantics of programming languages is how to combine non-determinism and probability. At a technical level, the problem arises from the fact that there is a no distributive law between the powerset monad and…

Logic in Computer Science · Computer Science 2021-05-17 Bart Jacobs

In Probabilistic Logic Nilsson uses the device of a probability distribution over a set of possible worlds to assign probabilities to the sentences of a logical language. In his paper Nilsson concentrated on inference and associated…

Artificial Intelligence · Computer Science 2013-04-10 Fahiem Bacchus

In his pioneering research, G. K. Zipf observed that more frequent words tend to have more meanings, and showed that the number of meanings of a word grows as the square root of its frequency. He derived this relationship from two…

Computation and Language · Computer Science 2020-09-24 Ramon Ferrer-i-Cancho , Michael S. Vitevitch

Semantic control entails steering LM generations towards satisfying subtle non-lexical constraints, e.g., toxicity, sentiment, or politeness, attributes that can be captured by a sequence-level verifier. It can thus be viewed as sampling…

Machine Learning · Computer Science 2025-05-06 Kareem Ahmed , Catarina G Belem , Padhraic Smyth , Sameer Singh

We present a novel technique for learning semantic representations, which extends the distributional hypothesis to multilingual data and joint-space embeddings. Our models leverage parallel data and learn to strongly align the embeddings of…

Computation and Language · Computer Science 2014-04-21 Karl Moritz Hermann , Phil Blunsom

Distribution regression refers to the supervised learning problem where labels are only available for groups of inputs instead of individual inputs. In this paper, we develop a rigorous mathematical framework for distribution regression…

Machine Learning · Computer Science 2021-09-30 Maud Lemercier , Cristopher Salvi , Theodoros Damoulas , Edwin V. Bonilla , Terry Lyons

Words in natural language follow a Zipfian distribution whereby some words are frequent but most are rare. Learning representations for words in the "long tail" of this distribution requires enormous amounts of data. Representations of rare…

Machine Learning · Computer Science 2018-03-08 Dzmitry Bahdanau , Tom Bosc , Stanisław Jastrzębski , Edward Grefenstette , Pascal Vincent , Yoshua Bengio

Model interpretability methods are often used to explain NLP model decisions on tasks such as text classification, where the output space is relatively small. However, when applied to language generation, where the output space often…

Computation and Language · Computer Science 2022-05-24 Kayo Yin , Graham Neubig

Three publicly-available LLM specifically designed for legal tasks have been implemented and shown that classification accuracy can benefit from training over legal corpora, but why and how? Here we use two publicly-available legal…

Machine Learning · Computer Science 2025-01-30 Richard K. Belew

In this chapter, we explore how (Type-2) computable distributions can be used to give both (algorithmic) sampling and distributional semantics to probabilistic programs with continuous distributions. Towards this end, we sketch an encoding…

Programming Languages · Computer Science 2020-02-05 Daniel Huang , Greg Morrisett , Bas Spitters

Many machine learning tasks, such as learning with invariance and policy evaluation in reinforcement learning, can be characterized as problems of learning from conditional distributions. In such problems, each sample $x$ itself is…

Machine Learning · Computer Science 2017-01-03 Bo Dai , Niao He , Yunpeng Pan , Byron Boots , Le Song

Human language, the most powerful communication system in history, is closely associated with cognition. Written text is one of the fundamental manifestations of language, and the study of its universal regularities can give clues about how…

Computation and Language · Computer Science 2009-02-05 M. Angeles Serrano , Alessandro Flammini , Filippo Menczer

Within psychology, neuroscience and artificial intelligence, there has been increasing interest in the proposal that the brain builds probabilistic models of sensory and linguistic input: that is, to infer a probabilistic model from a…

Machine Learning · Computer Science 2017-08-08 Paul M. B. Vitanyi , Nick Chater

Machine learning approaches to multi-label document classification have to date largely relied on discriminative modeling techniques such as support vector machines. A drawback of these approaches is that performance rapidly drops off as…

Machine Learning · Statistics 2011-11-11 Timothy N. Rubin , America Chambers , Padhraic Smyth , Mark Steyvers
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