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We study the approximability of instances of the minimum entropy set cover problem, parameterized by the average frequency of a random element in the covering sets. We analyze an algorithm combining a greedy approach with another one biased…

数据结构与算法 · 计算机科学 2012-08-01 Cosmin Bonchis , Gabriel Istrate

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 avalanche quantity of the information developed by mankind has led to concept of automation of knowledge extraction - Data Mining ([1]). This direction is connected with a wide spectrum of problems - from recognition of the fuzzy set to…

机器学习 · 计算机科学 2009-06-05 A. A. Shumeyko , S. L. Sotnik

Within the task of collaborative filtering two challenges for computing conditional probabilities exist. First, the amount of training data available is typically sparse with respect to the size of the domain. Thus, support for higher-order…

信息检索 · 计算机科学 2012-07-19 Lawrence Zitnick , Takeo Kanade

We consider the problem of efficiently designing sets (codes) of equal-length DNA strings (words) that satisfy certain combinatorial constraints. This problem has numerous motivations including DNA computing and DNA self-assembly. Previous…

数据结构与算法 · 计算机科学 2007-05-23 Ming-Yang Kao , Manan Sanghi , Robert Schweller

A binary string transmitted via a memoryless i.i.d. deletion channel is received as a subsequence of the original input. From this, one obtains a posterior distribution on the channel input, corresponding to a set of candidate…

Estimating the entropy of a discrete random variable is a fundamental problem in information theory and related fields. This problem has many applications in various domains, including machine learning, statistics and data compression. Over…

信息论 · 计算机科学 2020-12-22 Yuval Shalev , Amichai Painsky , Irad Ben-Gal

Current language models decode text token by token according to probabilistic distribution, and determining the appropriate candidates for the next token is crucial to ensure generation quality. This study introduces adaptive decoding, a…

计算与语言 · 计算机科学 2024-06-04 Wenhong Zhu , Hongkun Hao , Zhiwei He , Yiming Ai , Rui Wang

Text segmentation, the task of dividing a document into sections, is often a prerequisite for performing additional natural language processing tasks. Existing text segmentation methods have typically been developed and tested using clean,…

计算机视觉与模式识别 · 计算机科学 2023-12-21 Carol Anderson , Phil Crone

Segmentation is essential for medical image analysis tasks such as intervention planning, therapy guidance, diagnosis, treatment decisions. Deep learning is becoming increasingly prominent for segmentation, where the lack of annotations,…

计算机视觉与模式识别 · 计算机科学 2019-03-19 Firat Ozdemir , Zixuan Peng , Christine Tanner , Philipp Fuernstahl , Orcun Goksel

We consider the problem of estimating the population probability distribution given a finite set of multivariate samples, using the maximum entropy approach. In strict keeping with Jaynes' original definition, our precise formulation of the…

数据分析、统计与概率 · 物理学 2007-07-13 Sabbir Rahman , Mahbub Majumdar

Sequence segmentation is a well-studied problem, where given a sequence of elements, an integer K, and some measure of homogeneity, the task is to split the sequence into K contiguous segments that are maximally homogeneous. A classic…

数据结构与算法 · 计算机科学 2019-02-12 Nikolaj Tatti

In this paper we study the problem of computing max-entropy distributions over a discrete set of objects subject to observed marginals. Interest in such distributions arises due to their applicability in areas such as statistical physics,…

数据结构与算法 · 计算机科学 2013-05-02 Mohit Singh , Nisheeth K. Vishnoi

Maximum entropy method is a constructive criterion for setting up a probability distribution maximally non-committal to missing information on the basis of partial knowledge, usually stated as constrains on expectation values of some…

统计力学 · 物理学 2015-07-20 Jorge Fernandez-de-Cossio , Jorge Fernandez-de-Cossio Diaz

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

Word embedding, which encodes words into vectors, is an important starting point in natural language processing and commonly used in many text-based machine learning tasks. However, in most current word embedding approaches, the similarity…

计算与语言 · 计算机科学 2018-12-27 Denis Sedov , Zhirong Yang

Semantic segmentation has become an important task in computer vision with the growth of self-driving cars, medical image segmentation, etc. Although current models provide excellent results, they are still far from perfect and while there…

计算机视觉与模式识别 · 计算机科学 2024-06-21 Samik Some , Vinay P. Namboodiri

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

Moment-closure methods are popular tools to simplify the mathematical analysis of stochastic models defined on networks, in which high dimensional joint distributions are approximated (often by some heuristic argument) as functions of lower…

数据分析、统计与概率 · 物理学 2011-05-25 Tim Rogers

The present work shows that the maximum-entropy method can be applied to a sample of neuronal recordings along two different routes: (1) apply to the sample; or (2) apply to a larger, unsampled neuronal population from which the sample is…

神经元与认知 · 定量生物学 2020-10-20 PierGianLuca Porta Mana , Vahid Rostami , Emiliano Torre , Yasser Roudi