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We consider the following learning problem: Given sample pairs of input and output signals generated by an unknown nonlinear system (which is not assumed to be causal or time-invariant), we wish to find a continuous-time recurrent neural…

Machine Learning · Computer Science 2021-11-18 Joshua Hanson , Maxim Raginsky , Eduardo Sontag

This paper presents a novel approach to advancing artificial intelligence (AI) through the development of the Complex Recurrent Spectral Network ($\mathbb{C}$-RSN), an innovative variant of the Recurrent Spectral Network (RSN) model. The…

Machine Learning · Computer Science 2023-12-13 Lorenzo Chicchi , Lorenzo Giambagli , Lorenzo Buffoni , Raffaele Marino , Duccio Fanelli

Accelerating the data acquisition of dynamic magnetic resonance imaging (MRI) leads to a challenging ill-posed inverse problem, which has received great interest from both the signal processing and machine learning community over the last…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Chen Qin , Jo Schlemper , Jose Caballero , Anthony Price , Joseph V. Hajnal , Daniel Rueckert

In this Letter, we employ the complex screen method to investigate the dynamic evolution of partially coherent pulses with specified properties as they propagate through a nonlinear Kerr medium. Our results reveal that partially coherent…

Quantifying uncertainty in predictions or, more generally, estimating the posterior conditional distribution, is a core challenge in machine learning and statistics. We introduce Convex Nonparanormal Regression (CNR), a conditional…

Machine Learning · Statistics 2021-09-15 Yonatan Woodbridge , Gal Elidan , Ami Wiesel

Existing permanental processes often impose constraints on kernel types or stationarity, limiting the model's expressiveness. To overcome these limitations, we propose a novel approach utilizing the sparse spectral representation of…

Machine Learning · Statistics 2024-12-20 Zicheng Sun , Yixuan Zhang , Zenan Ling , Xuhui Fan , Feng Zhou

Here, we propose a general method for probabilistic time series forecasting. We combine an autoregressive recurrent neural network to model temporal dynamics with Implicit Quantile Networks to learn a large class of distributions over a…

Machine Learning · Computer Science 2021-07-09 Adèle Gouttes , Kashif Rasul , Mateusz Koren , Johannes Stephan , Tofigh Naghibi

This paper is focused on nonlinear prediction coding, which consists on the prediction of a speech sample based on a nonlinear combination of previous samples. It is known that in the generation of the glottal pulse, the wave equation does…

Sound · Computer Science 2022-04-01 Marcos Faundez-Zanuy , Enric Monte , Francesc Vallverdú

There is an implicit assumption that by unfolding recurrent neural networks (RNN) in finite time, the misspecification of choosing a zero value for the initial hidden state is mitigated by later time steps. This assumption has been shown to…

Machine Learning · Computer Science 2019-02-12 Sam Wenke , Jim Fleming

While initially devised for image categorization, convolutional neural networks (CNNs) are being increasingly used for the pixelwise semantic labeling of images. However, the proper nature of the most common CNN architectures makes them…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Emmanuel Maggiori , Guillaume Charpiat , Yuliya Tarabalka , Pierre Alliez

Purpose: Some advanced RF pulses, like multi-dimensional RF pulses, are often long and require substantial computation time due to a number of constraints and requirements, sometimes hampering clinical use. However, the pulses offer…

Medical Physics · Physics 2019-01-08 Mads Sloth Vinding , Birk Skyum , Ryan Sangill , Torben Ellegaard Lund

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

The recurrent neural network and its variants have shown great success in processing sequences in recent years. However, this deep neural network has not aroused much attention in anomaly detection through predictively process monitoring.…

Machine Learning · Computer Science 2023-09-06 Jiaqi Qiu , Yu Lin , Inez Zwetsloot

This paper investigates two different neural architectures for the task of relation classification: convolutional neural networks and recurrent neural networks. For both models, we demonstrate the effect of different architectural choices.…

Computation and Language · Computer Science 2016-05-25 Ngoc Thang Vu , Heike Adel , Pankaj Gupta , Hinrich Schütze

As function approximators, deep neural networks have served as an effective tool to represent various signal types. Recent approaches utilize multi-layer perceptrons (MLPs) to learn a nonlinear mapping from a coordinate to its corresponding…

Machine Learning · Computer Science 2025-06-12 Woojin Cho , Minju Jo , Kookjin Lee , Noseong Park

In this paper we describe the implementation of semi-structured deep distributional regression, a flexible framework to learn conditional distributions based on the combination of additive regression models and deep networks. Our…

In this paper, the branches of recursive and recurrent neural networks are classified in detail according to the network structure, training objective function and learning algorithm implementation. They are roughly divided into three…

Neural and Evolutionary Computing · Computer Science 2025-10-22 Jian-wei Liu , Bing-rong Xu , Zhi-yan Song

Efforts are underway to study ways via which the power of deep neural networks can be extended to non-standard data types such as structured data (e.g., graphs) or manifold-valued data (e.g., unit vectors or special matrices). Often,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Xingjian Zhen , Rudrasis Chakraborty , Nicholas Vogt , Barbara B. Bendlin , Vikas Singh

In the recent publication (arxiv:2007.08063v2 [cs.LG]) a fast prediction algorithm for a single recurrent network (RN) was suggested. In this manuscript we generalize this approach to a chain of RNs and show that it can be implemented in…

Dynamical Systems · Mathematics 2020-10-06 Boris Rubinstein

Recurrent neural networks have seen widespread use in modeling dynamical systems in varied domains such as weather prediction, text prediction and several others. Often one wishes to supplement the experimentally observed dynamics with…

Disordered Systems and Neural Networks · Physics 2022-12-14 Sun-Ting Tsai , Eric Fields , Yijia Xu , En-Jui Kuo , Pratyush Tiwary
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