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We propose an experimental comparison between Deep Echo State Networks (DeepESNs) and gated Recurrent Neural Networks (RNNs) on multivariate time-series prediction tasks. In particular, we compare reservoir and fully-trained RNNs able to…

Machine Learning · Computer Science 2019-11-21 Claudio Gallicchio , Alessio Micheli , Luca Pedrelli

Bayesian meta-learning enables robust and fast adaptation to new tasks with uncertainty assessment. The key idea behind Bayesian meta-learning is empirical Bayes inference of hierarchical model. In this work, we extend this framework to…

Machine Learning · Computer Science 2020-11-19 Yayi Zou , Xiaoqi Lu

Graph processes exhibit a temporal structure determined by the sequence index and and a spatial structure determined by the graph support. To learn from graph processes, an information processing architecture must then be able to exploit…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Luana Ruiz , Fernando Gama , Alejandro Ribeiro

Practical Bayes filters often assume the state distribution of each time step to be Gaussian for computational tractability, resulting in the so-called Gaussian filters. When facing nonlinear systems, Gaussian filters such as extended…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Wenhan Cao , Tianyi Zhang , Zeju Sun , Chang Liu , Stephen S. -T. Yau , Shengbo Eben Li

As models of cognition grow in complexity and number of parameters, Bayesian inference with standard methods can become intractable, especially when the data-generating model is of unknown analytic form. Recent advances in simulation-based…

Machine Learning · Statistics 2020-07-14 Stefan T. Radev , Andreas Voss , Eva Marie Wieschen , Paul-Christian Bürkner

In this article, variational state estimation is examined from the dynamic programming perspective. This leads to two different value functional recursions depending on whether backward or forward dynamic programming is employed. The result…

Methodology · Statistics 2025-12-17 Filip Tronarp

Using Bayes's theorem, we derive a unit-wise recurrence as well as a backward recursion similar to the forward-backward algorithm. The resulting Bayesian recurrent units can be integrated as recurrent neural networks within deep learning…

Machine Learning · Statistics 2022-09-29 Alexandre Bittar , Philip N. Garner

Recurrent neural networks are important tools for sequential data processing. However, they are notorious for problems regarding their training. Challenges include capturing complex relations between consecutive states and stability and…

Neural and Evolutionary Computing · Computer Science 2023-04-18 Łukasz Neumann , Łukasz Lepak , Paweł Wawrzyński

Bayesian filtering approximates the true underlying behavior of a time-varying system by inverting an explicit generative model to convert noisy measurements into state estimates. This process typically requires either storage, inversion,…

Machine Learning · Computer Science 2023-11-20 Gianluca M. Bencomo , Jake C. Snell , Thomas L. Griffiths

Deep learning has shown its human-level performance in various applications. However, current deep learning models are characterised by catastrophic forgetting of old knowledge when learning new classes. This poses a challenge particularly…

Machine Learning · Computer Science 2022-04-29 Yang Yang , Zhiying Cui , Junjie Xu , Changhong Zhong , Wei-Shi Zheng , Ruixuan Wang

State estimation in stochastic dynamical systems with noisy measurements is a challenge. While the Kalman filter is optimal for linear systems with independent Gaussian white noise, real-world conditions often deviate from these…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Hassan Mortada , Cyril Falcon , Yanis Kahil , Mathéo Clavaud , Jean-Philippe Michel

We present a new model, Predictive State Recurrent Neural Networks (PSRNNs), for filtering and prediction in dynamical systems. PSRNNs draw on insights from both Recurrent Neural Networks (RNNs) and Predictive State Representations (PSRs),…

Machine Learning · Statistics 2017-06-20 Carlton Downey , Ahmed Hefny , Boyue Li , Byron Boots , Geoffrey Gordon

Time series forecasting based on deep architectures has been gaining popularity in recent years due to their ability to model complex non-linear temporal dynamics. The recurrent neural network is one such model capable of handling…

Machine Learning · Computer Science 2021-06-28 Zexuan Yin , Paolo Barucca

Neural algorithmic reasoning is an emerging research direction that endows neural networks with the ability to mimic algorithmic executions step-by-step. A common paradigm in existing designs involves the use of historical embeddings in…

Machine Learning · Computer Science 2024-03-11 Montgomery Bohde , Meng Liu , Alexandra Saxton , Shuiwang Ji

This work studies networked agents cooperating to track a dynamical state of nature under partial information. The proposed algorithm is a distributed Bayesian filtering algorithm for finite-state hidden Markov models (HMMs). It can be used…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Vincenzo Matta , Ali H. Sayed

State space models (SSMs) have emerged as a powerful framework for modelling long-range dependencies in sequence data. Unlike traditional recurrent neural networks (RNNs) and convolutional neural networks (CNNs), SSMs offer a structured and…

Machine Learning · Computer Science 2024-10-07 Siddhanth Bhat

Stochastic nonlinear dynamical systems are ubiquitous in modern, real-world applications. Yet, estimating the unknown parameters of stochastic, nonlinear dynamical models remains a challenging problem. The majority of existing methods…

Machine Learning · Statistics 2022-05-06 Anubhab Ghosh , Mohamed Abdalmoaty , Saikat Chatterjee , Håkan Hjalmarsson

Recurrent neural networks are used to forecast time series in finance, climate, language, and from many other domains. Reservoir computers are a particularly easily trainable form of recurrent neural network. Recently, a "next-generation"…

Machine Learning · Computer Science 2023-03-28 Sarah E. Marzen , Paul M. Riechers , James P. Crutchfield

Deep neural network (DNN) based approaches hold significant potential for reinforcement learning (RL) and have already shown remarkable gains over state-of-art methods in a number of applications. The effectiveness of DNN methods can be…

Machine Learning · Statistics 2017-06-01 Henghui Zhu , Feng Nan , Ioannis Paschalidis , Venkatesh Saligrama

Recurrent neural networks (RNNs) have shown promising performance for language modeling. However, traditional training of RNNs using back-propagation through time often suffers from overfitting. One reason for this is that stochastic…

Computation and Language · Computer Science 2017-04-25 Zhe Gan , Chunyuan Li , Changyou Chen , Yunchen Pu , Qinliang Su , Lawrence Carin