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State-space models (SSMs) offer a powerful framework for dynamical system analysis, wherein the temporal dynamics of the system are assumed to be captured through the evolution of the latent states, which govern the values of the…

Machine Learning · Statistics 2024-12-17 Jiahe Lin , George Michailidis

Deep Learning has a hierarchical network architecture to represent the complicated feature of input patterns. The adaptive structural learning method of Deep Belief Network (DBN) has been developed. The method can discover an optimal number…

Neural and Evolutionary Computing · Computer Science 2018-08-28 Shin Kamada , Takumi Ichimura , Toshihide Harada

Given a sequence of sets, where each set contains an arbitrary number of elements, the problem of temporal sets prediction aims to predict the elements in the subsequent set. In practice, temporal sets prediction is much more complex than…

Machine Learning · Computer Science 2020-07-09 Le Yu , Leilei Sun , Bowen Du , Chuanren Liu , Hui Xiong , Weifeng Lv

Time series modelling is essential for solving tasks such as predictive maintenance, quality control and optimisation. Deep learning is widely used for solving such problems. When managing complex manufacturing process with neural networks,…

Machine Learning · Computer Science 2020-11-17 Alexey Kurochkin

Time-series is ubiquitous across applications, such as transportation, finance and healthcare. Time-series is often influenced by external factors, especially in the form of asynchronous events, making forecasting difficult. However,…

Machine Learning · Computer Science 2021-02-02 Longyuan Li , Jihai Zhang , Junchi Yan , Yaohui Jin , Yunhao Zhang , Yanjie Duan , Guangjian Tian

Motivation: Several different threads of research have been proposed for modeling and mining temporal data. On the one hand, approaches such as dynamic Bayesian networks (DBNs) provide a formal probabilistic basis to model relationships…

Machine Learning · Computer Science 2009-04-15 Debprakash Patnaik , Srivatsan Laxman , Naren Ramakrishnan

Dyna-style reinforcement learning is a powerful approach for problems where not much real data is available. The main idea is to supplement real trajectories, or sequences of sampled states over time, with simulated ones sampled from a…

Machine Learning · Computer Science 2018-05-28 Ryan Faulkner , Doina Precup

Deep learning methods have shown great promise in many practical applications, ranging from speech recognition, visual object recognition, to text processing. However, most of the current deep learning methods suffer from scalability…

Machine Learning · Statistics 2015-08-31 Yanping Huang , Sai Zhang

Sequential transitions between metastable states are ubiquitously observed in the neural system and underlie various cognitive functions. Although a number of studies with asymmetric Hebbian connectivity have investigated how such sequences…

Adaptation and Self-Organizing Systems · Physics 2021-03-03 Tomoki Kurikawa , Kunihiko Kaneko

When using deep, multi-layered architectures to build generative models of data, it is difficult to train all layers at once. We propose a layer-wise training procedure admitting a performance guarantee compared to the global optimum. It is…

Neural and Evolutionary Computing · Computer Science 2013-02-19 Ludovic Arnold , Yann Ollivier

Nowadays, this is very popular to use the deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour

How can we efficiently propagate uncertainty in a latent state representation with recurrent neural networks? This paper introduces stochastic recurrent neural networks which glue a deterministic recurrent neural network and a state space…

Machine Learning · Statistics 2016-11-15 Marco Fraccaro , Søren Kaae Sønderby , Ulrich Paquet , Ole Winther

Graph Neural Networks (GNNs) have recently become increasingly popular due to their ability to learn complex systems of relations or interactions arising in a broad spectrum of problems ranging from biology and particle physics to social…

Machine Learning · Computer Science 2020-10-12 Emanuele Rossi , Ben Chamberlain , Fabrizio Frasca , Davide Eynard , Federico Monti , Michael Bronstein

We explore whether useful temporal neural generative models can be learned from sequential data without back-propagation through time. We investigate the viability of a more neurocognitively-grounded approach in the context of unsupervised…

Machine Learning · Computer Science 2017-12-01 Alexander G. Ororbia , Patrick Haffner , David Reitter , C. Lee Giles

Deep neural network (DNN) models have recently obtained state-of-the-art prediction accuracy for the transcription factor binding (TFBS) site classification task. However, it remains unclear how these approaches identify meaningful DNA…

Machine Learning · Computer Science 2016-10-20 Jack Lanchantin , Ritambhara Singh , Beilun Wang , Yanjun Qi

Probabilistic Boolean Networks (PBNs) have been previously proposed so as to gain insights into complex dy- namical systems. However, identification of large networks and of the underlying discrete Markov Chain which describes their…

Machine Learning · Computer Science 2018-01-24 Ifigeneia Apostolopoulou , Diana Marculescu

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

Machine Learning · Computer Science 2014-05-27 Yoshua Bengio , Éric Thibodeau-Laufer , Guillaume Alain , Jason Yosinski

In this paper, we study novel neural network structures to better model long term dependency in sequential data. We propose to use more memory units to keep track of more preceding states in recurrent neural networks (RNNs), which are all…

Neural and Evolutionary Computing · Computer Science 2016-05-03 Rohollah Soltani , Hui Jiang

To generate coherent responses, language models infer unobserved meaning from their input text sequence. One potential explanation for this capability arises from theories of delay embeddings in dynamical systems, which prove that…

Machine Learning · Computer Science 2024-06-19 Mitchell Ostrow , Adam Eisen , Ila Fiete

The projected belief network (PBN) is a generative stochastic network with tractable likelihood function based on a feed-forward neural network (FFNN). The generative function operates by "backing up" through the FFNN. The PBN is two…

Machine Learning · Computer Science 2024-01-23 Paul M. Baggenstoss , Kevin Wilkinghoff , Felix Govaers , Frank Kurth