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In [1] it is shown that recurrent neural networks (RNNs) can learn - in a metric entropy optimal manner - discrete time, linear time-invariant (LTI) systems. This is effected by comparing the number of bits needed to encode the…

Dynamical Systems · Mathematics 2022-11-29 Clemens Hutter , Thomas Allard , Helmut Bölcskei

Obtaining high certainty in predictive models is crucial for making informed and trustworthy decisions in many scientific and engineering domains. However, extensive experimentation required for model accuracy can be both costly and…

Machine Learning · Computer Science 2024-12-17 Giorgio Morales , John Sheppard

We describe a new method for estimating the degree of "transientness" and "tonality" of a class of compound signals involving simultaneously transient and harmonic features. The key assumption is that both transient and tonal layers admit…

Statistics Theory · Mathematics 2013-04-23 Stéphane Molla , Bruno Torrésani

In this paper, we obtain fundamental $\mathcal{L}_{p}$ bounds in sequential prediction and recursive algorithms via an entropic analysis. Both classes of problems are examined by investigating the underlying entropic relationships of the…

Machine Learning · Computer Science 2021-05-12 Song Fang , Quanyan Zhu

Conventionally, the manner of articulations in speech signal are derived using discriminative signal processing techniques or deep learning approaches. However, training such complex systems involves feature extraction, phoneme force…

Audio and Speech Processing · Electrical Eng. & Systems 2018-11-06 Pradeep R , Sreenivasa Rao K

The growing study of time series, especially those related to nonlinear systems, has challenged the methodologies to characterize and classify dynamical structures of a signal. Here we conceive a new diagnostic tool for time series based on…

Other Statistics · Statistics 2017-07-05 G. Corso , T. L. Prado , G. Z. dos S. Lima , S. R. Lopes

This paper describes the use of connectionist techniques in phonetic speech recognition with strong latency constraints. The constraints are imposed by the task of deriving the lip movements of a synthetic face in real time from the speech…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-15 Giampiero Salvi

We present a method that "meta" classifies whether seg-ments predicted by a semantic segmentation neural networkintersect with the ground truth. For this purpose, we employ measures of dispersion for predicted pixel-wise class probability…

Computer Vision and Pattern Recognition · Computer Science 2019-10-03 Matthias Rottmann , Pascal Colling , Thomas-Paul Hack , Robin Chan , Fabian Hüger , Peter Schlicht , Hanno Gottschalk

Shannon Entropy is the preeminent tool for measuring the level of uncertainty (and conversely, information content) in a random variable. In the field of communications, entropy can be used to express the information content of given…

Information Theory · Computer Science 2024-11-06 Bill Kay , Audun Myers , Thad Boydston , Emily Ellwein , Cameron Mackenzie , Iliana Alvarez , Erik Lentz

Audio-language models have recently demonstrated strong zero-shot capabilities by leveraging natural-language supervision to classify audio events without labeled training data. Yet, their performance is highly sensitive to the wording of…

Byte-Pair Encoding (BPE) has become a widely adopted subword tokenization method in modern language models due to its simplicity and strong empirical performance across downstream tasks. However, applying BPE to unsegmented languages such…

Computation and Language · Computer Science 2025-06-23 Yifan Hu , Frank Liang , Dachuan Zhao , Jonathan Geuter , Varshini Reddy , Craig W. Schmidt , Chris Tanner

Contrastive learning on graphs aims at extracting distinguishable high-level representations of nodes. In this paper, we theoretically illustrate that the entropy of a dataset can be approximated by maximizing the lower bound of the mutual…

Machine Learning · Computer Science 2023-07-27 Yixuan Ma , Xiaolin Zhang , Peng Zhang , Kun Zhan

The translation of written language has been known since the 3rd century BC; however, its necessity has become increasingly common in the information age. Today, many translators exist, based on encoder-decoder deep architectures,…

Computation and Language · Computer Science 2025-11-18 Ronit D. Gross , Yanir Harel , Ido Kanter

Link-prediction is an active research field within network theory, aiming at uncovering missing connections or predicting the emergence of future relationships from the observed network structure. This paper represents our contribution to…

Physics and Society · Physics 2018-07-20 Federica Parisi , Guido Caldarelli , Tiziano Squartini

How does the information flow between different brain regions during various stimuli? This is the question we aim to address by studying complex cognitive paradigms in terms of Information Theory. To assess creativity and the emergence of…

Neurons and Cognition · Quantitative Biology 2025-07-08 Ania Mesa-Rodríguez , Ernesto Estevez-Rams , Holger Kantz

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…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Samik Some , Vinay P. Namboodiri

Estimating entropy production from real observation data can be difficult due to finite resolution in both space and time and finite measurement statistics. We characterize the statistical error introduced by finite sample size and compare…

Statistical Mechanics · Physics 2025-04-09 Jonas H. Fritz , Benjamin Ertel , Udo Seifert

This study addresses the problem of learning a summary causal graph on time series with potentially different sampling rates. To do so, we first propose a new causal temporal mutual information measure for time series. We then show how this…

Artificial Intelligence · Computer Science 2023-11-03 Charles K. Assaad , Emilie Devijver , Eric Gaussier

Patch-based transformers have emerged as efficient and improved long-horizon modeling architectures for time series modeling. Yet, existing approaches rely on temporally-agnostic patch construction, where arbitrary starting positions and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Sachith Abeywickrama , Emadeldeen Eldele , Min Wu , Xiaoli Li , Chau Yuen

Neural network models using predictive coding are interesting from the viewpoint of computational modelling of human language acquisition, where the objective is to understand how linguistic units could be learned from speech without any…

Computation and Language · Computer Science 2020-07-09 María Andrea Cruz Blandón , Okko Räsänen