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We present a solution to the problem of understanding a system that produces a sequence of temporally ordered observations. Our solution is based on generating and interpreting a set of temporal decision rules. A temporal decision rule is a…

Machine Learning · Computer Science 2010-04-21 Kamran Karimi , Howard J. Hamilton

Periodic signals play an important role in daily lives. Although conventional sequential models have shown remarkable success in various fields, they still come short in modeling periodicity; they either collapse, diverge or ignore details.…

Neural and Evolutionary Computing · Computer Science 2021-11-29 Jiyoung Lee , Wonjae Kim , Daehoon Gwak , Edward Choi

In machine learning, effective modeling requires a holistic consideration of how to encode inputs, make predictions (i.e., decoding), and train the model. However, in time-series forecasting, prior work has predominantly focused on encoder…

Machine Learning · Computer Science 2025-12-30 Jaebin Lee , Hankook Lee

In this article, a developed, manufactured and tested model of a new type generator is presented, which allows to differentiate and predict, with probability close to 1, coasting characteristics of the rotor during its clockwise and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yu. A. Baurov , A. V. Chernikov

Recent studies suggest utilizing generative models instead of traditional auto-regressive algorithms for time series forecasting (TSF) tasks. These non-auto-regressive approaches involving different generative methods, including GAN,…

Machine Learning · Computer Science 2025-03-19 Jiangxuan Long , Zhao Song , Chiwun Yang

In this work we present a model for computation of random processes in digital computers which solves the problem of periodic sequences and hidden errors produced by correlations. We show that systems with non-invertible non-linearities can…

Statistical Mechanics · Physics 2007-05-23 Monica A. Garcia-Nustes , Leonardo Trujillo , Jorge A. Gonzalez

Humans have an impressive ability to reason about new concepts and experiences from just a single example. In particular, humans have an ability for one-shot generalization: an ability to encounter a new concept, understand its structure,…

Machine Learning · Statistics 2016-05-26 Danilo Jimenez Rezende , Shakir Mohamed , Ivo Danihelka , Karol Gregor , Daan Wierstra

We present a simple randomized procedure for the prediction of a binary sequence. The algorithm uses ideas from recent developments of the theory of the prediction of individual sequences. We show that if the sequence is a realization of a…

Statistics Theory · Mathematics 2008-06-19 L. Györfi , G. Lugosi , G. Morvai

This paper presents a permutation binary neural network characterized by local binary connection, global permutation connection, and the signum activation function. The dynamics is described by a difference equation of binary state…

Dynamical Systems · Mathematics 2022-01-25 Hotaka Udagawa , Taiji Okano , Toshimichi Saito

Transformers can generate predictions in two approaches: 1. auto-regressively by conditioning each sequence element on the previous ones, or 2. directly produce an output sequences in parallel. While research has mostly explored upon this…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Andrea Alfieri , Yancong Lin , Jan C. van Gemert

In real-world systems, phase transitions often materialize abruptly, making it difficult to design appropriate controls that help uncover underlying processes. Some agent-based computational models display transformations similar to phase…

Physics and Society · Physics 2018-10-10 S. S. Chanda , B. McKelvey

Humans learn complex latent structures from their environments (e.g., natural language, mathematics, music, social hierarchies). In cognitive science and cognitive neuroscience, models that infer higher-order structures from sensory or…

Artificial Intelligence · Computer Science 2018-10-03 Andrea E. Martin , Leonidas A. A. Doumas

A filter for universal real-time prediction of band-limited signals is presented. The filter consists of multiple time-delayed feedback terms in order to accomplish anticipatory coupling, which again leads to a negative group delay for…

Sound · Computer Science 2017-11-29 Henning U. Voss

Particle accelerators are complex facilities that produce large amounts of structured data and have clear optimization goals as well as precisely defined control requirements. As such they are naturally amenable to data-driven research…

Accelerator Physics · Physics 2023-03-01 Sichen Li , Andreas Adelmann

Simple memorizing tasks have been chosen such as a binary code on a matrix. After the establishment of an appropriate protocol, the codified matrices were individually presented to 150 university students who had to memorize them. A…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexandra C. Tsallis , Constantino Tsallis , Aglae C. N. de Magalhaes , Francisco A. Tamarit

The process by which humans synchronize to a musical beat is believed to occur through error-correction where an individual's estimates of the period and phase of the beat time are iteratively adjusted to align with an external stimuli.…

Dynamical Systems · Mathematics 2020-05-14 Áine Byrne , John Rinzel , Amitabha Bose

It is tempting to think that machines are less prone to unfairness and prejudice. However, machine learning approaches compute their outputs based on data. While biases can enter at any stage of the development pipeline, models are…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Patrick Esser , Robin Rombach , Björn Ommer

This paper shows how a time series of measurements of an evolving system can be processed to create an inner time series that is unaffected by any instantaneous invertible, possibly nonlinear transformation of the measurements. An inner…

Methodology · Statistics 2017-03-28 David N. Levin

We survey aspects of prediction theory in infinitely many dimensions, with a view to the theory and applications of functional time series.

Probability · Mathematics 2021-11-24 Nicholas Hugh Bingham

The properties of time series generated by a perceptron with monotonic and non-monotonic transfer function, where the next input vector is determined from past output values, are examined. Analysis of the parameter space reveals the…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Priel , I. Kanter