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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…

信息论 · 计算机科学 2014-12-12 S. S. Melnik , O. V. Usatenko

The complexity of a system description is a function of the entropy of its symbolic description. Prior to computing the entropy of the system description, an observation scale has to be assumed. In natural language texts, typical scales are…

信息论 · 计算机科学 2015-03-31 Gerardo Febres , Klaus Jaffe

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…

信息论 · 计算机科学 2014-03-24 Ishanu Chattopadhyay , Hod Lipson

The advent of large scale neural computational platforms has highlighted the lack of algorithms for synthesis of neural structures to perform predefined cognitive tasks. The Neural Engineering Framework offers one such synthesis, but it is…

神经与进化计算 · 计算机科学 2013-04-29 J. Tapson , G. Cohen , S. Afshar , K. Stiefel , Y. Buskila , R. Wang , T. J. Hamilton , A. van Schaik

Given a sequence composed of a limit number of characters, we try to "read" it as a "text". This involves to segment the sequence into "words". The difficulty is to distinguish good segmentation from enormous number of random ones.Aiming at…

生物物理 · 物理学 2009-11-06 Bin Wang

We introduce a method to estimate the complexity function of symbolic dynamical systems from a finite sequence of symbols. We test such complexity estimator on several symbolic dynamical systems whose complexity functions are known exactly.…

种群与进化 · 定量生物学 2017-01-19 R. Salgado-Garcia , E. Ugalde

Program synthesis aims to automatically construct human-readable programs that satisfy given task specifications, such as input/output pairs or demonstrations. Recent works have demonstrated encouraging results in a variety of domains, such…

软件工程 · 计算机科学 2023-03-13 Linghan Zhong , Ryan Lindeborg , Jesse Zhang , Joseph J. Lim , Shao-Hua Sun

We investigate the performance of entropy estimation methods, based either on block entropies or compression approaches, in the case of bidimensional sequences. We introduce a validation dataset made of images produced by a large number of…

数据分析、统计与概率 · 物理学 2022-07-07 F. N. M. de Sousa Filho , V. G. Pereira de Sá , E. Brigatti

In this paper we exploit concepts of information theory to address the fundamental problem of identifying and defining the most suitable tools to extract, in a automatic and agnostic way, information from a generic string of characters. We…

统计力学 · 物理学 2009-11-10 Andrea Baronchelli , Emanuele Caglioti , Vittorio Loreto

Recurrent neural network grammars (RNNGs) are generative models of (tree,string) pairs that rely on neural networks to evaluate derivational choices. Parsing with them using beam search yields a variety of incremental complexity metrics…

计算与语言 · 计算机科学 2018-06-12 John Hale , Chris Dyer , Adhiguna Kuncoro , Jonathan R. Brennan

In natural speech, the speaker does not pause between words, yet a human listener somehow perceives this continuous stream of phonemes as a series of distinct words. The detection of boundaries between spoken words is an instance of a…

计算与语言 · 计算机科学 2011-06-28 Jerry R. Van Aken

We discuss algorithms for estimating the Shannon entropy h of finite symbol sequences with long range correlations. In particular, we consider algorithms which estimate h from the code lengths produced by some compression algorithm. Our…

统计力学 · 物理学 2017-04-24 Thomas Schürmann , Peter Grassberger

We present a self-contained system for constructing natural language models for use in text compression. Our system improves upon previous neural network based models by utilizing recent advances in syntactic parsing -- Google's SyntaxNet…

机器学习 · 计算机科学 2016-08-30 David Cox

We present a new data structure called the \emph{Compressed Random Access Memory} (CRAM) that can store a dynamic string $T$ of characters, e.g., representing the memory of a computer, in compressed form while achieving asymptotically…

数据结构与算法 · 计算机科学 2015-03-17 Jesper Jansson , Kunihiko Sadakane , Wing-Kin Sung

Word embeddings aims to map sense of the words into a lower dimensional vector space in order to reason over them. Training embeddings on domain specific data helps express concepts more relevant to their use case but comes at a cost of…

计算与语言 · 计算机科学 2018-08-20 Shubham Bhardwaj

SYNTAGMA is a rule-based parsing system, structured on two levels: a general parsing engine and a language specific grammar. The parsing engine is a language independent program, while grammar and language specific rules and resources are…

计算与语言 · 计算机科学 2016-01-22 Daniel Christen

The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

数据分析、统计与概率 · 物理学 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

In this paper, we identify a fragment of second-order logic with restricted quantification that is expressive enough to capture numerous static analysis problems (e.g. safety proving, bug finding, termination and non-termination proving,…

计算机科学中的逻辑 · 计算机科学 2015-09-01 Cristina David , Daniel Kroening , Matt Lewis

For deterministic and probabilistic programs we investigate the problem of program synthesis and program optimisation (with respect to non-functional properties) in the general setting of global optimisation. This approach is based on the…

编程语言 · 计算机科学 2014-07-22 Herbert Wiklicky

Entropy has been a common index to quantify the complexity of time series in a variety of fields. Here, we introduce increment entropy to measure the complexity of time series in which each increment is mapped into a word of two letters,…

数据分析、统计与概率 · 物理学 2016-01-20 Xiaofeng Liu , Aimin Jiang , Ning Xu , Jianru Xue
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