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Similarity-sensitive entropy measures the uncertainty of a probability law relative to a similarity kernel that encodes the distinguishability between states. We develop a measure-theoretic treatment covering both finite similarity matrices…

Probability · Mathematics 2026-05-29 Joseph Samuel Miller

Information theory on a time-discrete setting in the framework of time series analysis is generalized to the time-continuous case. Considerations of the Roessler and Lorenz dynamics as well as the Ornstein-Uhlenbeck process yield for…

Chaotic Dynamics · Physics 2008-06-04 Detlef Holstein

Recent advances in machine learning and the availability of articulatory datasets allow vocal tract synthesis to be conditioned on phonetic sequences, a primary task of articulatory speech synthesis. However, quality assessment needs a…

Computation and Language · Computer Science 2026-05-21 Vinicius Ribeiro , Yves Laprie

Information theoretic quantities are extremely useful in discovering relationships between two or more data sets. One popular method---particularly for continuous systems---for estimating these quantities is the nearest neighbour…

Computation · Statistics 2017-10-19 Joshua Brown , Terry Bossomaier , Lionel Barnett

Relational thinking refers to the inherent ability of humans to form mental impressions about relations between sensory signals and prior knowledge, and subsequently incorporate them into their model of their world. Despite the crucial role…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-25 Zheng Nan , Ting Dang , Vidhyasaharan Sethu , Beena Ahmed

In real-world clinical settings, data distributions evolve over time, with a continuous influx of new, limited disease cases. Therefore, class incremental learning is of great significance, i.e., deep learning models are required to learn…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Yifei Yao , Hanrong Zhang

We propose a method for learning a quantum probabilistic model of a perceptron. By considering a cross entropy between two density matrices we can learn a model that takes noisy output labels into account while learning. A multitude of…

Quantum Physics · Physics 2023-09-11 Roeland Wiersema , H. J. Kappen

The existing upper and lower bounds between entropy and error probability are mostly derived from the inequality of the entropy relations, which could introduce approximations into the analysis. We derive analytical bounds based on the…

Information Theory · Computer Science 2012-05-31 Bao-Gang Hu , Hong-Jie Xing

This paper presents a command-line tool, called Entropia, that implements a family of conformance checking measures for process mining founded on the notion of entropy from information theory. The measures allow quantifying classical…

Competitive on-line prediction (also known as universal prediction of individual sequences) is a strand of learning theory avoiding making any stochastic assumptions about the way the observations are generated. The predictor's goal is to…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

In this work we introduce a method for estimating entropy rate and entropy production rate from finite symbolic time series. From the point of view of statistics, estimating entropy from a finite series can be interpreted as a problem of…

Statistical Mechanics · Physics 2021-02-24 Raul Salgado-Garcia , Cesar Maldonado

When monitoring the dynamics of stochastic systems, such as interacting particles agitated by thermal noise, disentangling deterministic forces from Brownian motion is challenging. Indeed, we show that there is an information-theoretic…

Soft Condensed Matter · Physics 2020-04-16 Anna Frishman , Pierre Ronceray

Human communication is commonly represented as a temporal social network, and evaluated in terms of its uniqueness. We propose a set of new entropy-based measures for human communication dynamics represented within the temporal social…

Social and Information Networks · Computer Science 2018-10-29 Marcin Kulisiewicz , Przemysław Kazienko , Bolesław K. Szymański , Radosław Michalski

Several studies demonstrate that there are critical differences between real wireless networks and simulation models. This finding has permitted to extract spatial and temporal properties for links and to provide efficient methods as biased…

Networking and Internet Architecture · Computer Science 2012-07-12 Mohamed-Haykel Zayani , Vincent Gauthier , Djamal Zeghlache

We demonstrate an intuitive relation between conditional entropy and conditional expectation that is useful when one want to compare them as measurement tools to evaluate secrecy systems. In particular, we give a Security Property…

Information Theory · Computer Science 2017-10-12 Thibault de Valroger

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

Information Theory · Computer Science 2019-05-28 David Sigtermans

Self-supervised representation learning for speech often involves a quantization step that transforms the acoustic input into discrete units. However, it remains unclear how to characterize the relationship between these discrete units and…

Computation and Language · Computer Science 2023-06-06 Badr M. Abdullah , Mohammed Maqsood Shaik , Bernd Möbius , Dietrich Klakow

Many tasks in natural language processing can be viewed as multi-label classification problems. However, most of the existing models are trained with the standard cross-entropy loss function and use a fixed prediction policy (e.g., a…

Computation and Language · Computer Science 2019-09-11 Jiawei Wu , Wenhan Xiong , William Yang Wang

In this paper, we tackle the singing voice phoneme segmentation problem in the singing training scenario by using language-independent information -- onset and prior coarse duration. We propose a two-step method. In the first step, we…

Sound · Computer Science 2018-06-06 Rong Gong , Xavier Serra

Understanding the limitations imposed by noise on current and next-generation quantum devices is a crucial step towards demonstrating practical quantum advantage. In this work, we investigate the accumulation of entropy density as a…

Quantum Physics · Physics 2026-01-16 Marine Demarty , James Mills , Kenza Hammam , Raul Garcia-Patron
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