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We introduce the Probability Navigation Architecture (PNA) framework, which treats neural computation as navigation through a probability manifold governed by thermodynamic principles. We train State Space Models (SSMs) and Transformers…

Machine Learning · Computer Science 2026-03-05 Jay Noon

This paper presents a constructive algorithm that achieves successful one-shot learning of hidden spike-patterns in a competitive detection task. It has previously been shown (Masquelier et al., 2008) that spike-timing-dependent plasticity…

Neurons and Cognition · Quantitative Biology 2017-08-31 Toby Lightheart , Steven Grainger , Tien-Fu Lu

A common approach to prediction and planning in partially observable domains is to use recurrent neural networks (RNNs), which ideally develop and maintain a latent memory about hidden, task-relevant factors. We hypothesize that many of…

Machine Learning · Computer Science 2022-01-14 Christian Gumbsch , Martin V. Butz , Georg Martius

Recurrent neural networks (RNNs) provide state-of-the-art performance in processing sequential data but are memory intensive to train, limiting the flexibility of RNN models which can be trained. Reversible RNNs---RNNs for which the…

Machine Learning · Computer Science 2018-10-26 Matthew MacKay , Paul Vicol , Jimmy Ba , Roger Grosse

We propose a data-driven framework for learning reduced-order moment dynamics from PDE-governed systems using Neural ODEs. In contrast to derivative-based methods like SINDy, which necessitate densely sampled data and are sensitive to…

Pattern Formation and Solitons · Physics 2025-06-06 Shaoxuan Chen , Su Yang , Panayotis G. Kevrekidis , Wei Zhu

We present a purely-radiative hydrodynamic model of the kappa-mechanism that sustains radial oscillations in Cepheid variables. We determine the physical conditions favourable for the kappa-mechanism to occur by the means of a configurable…

Astrophysics · Physics 2008-09-30 T. Gastine , B. Dintrans

Neural ODEs (NODEs) are continuous-time neural networks (NNs) that can process data without the limitation of time intervals. They have advantages in learning and understanding the evolution of complex real dynamics. Many previous works…

Machine Learning · Computer Science 2024-11-05 Wenjie Mei , Dongzhe Zheng , Shihua Li

Data-driven discovery of partial differential equations (PDEs) has achieved considerable development in recent years. Several aspects of problems have been resolved by sparse regression-based and neural network-based methods. However, the…

Machine Learning · Computer Science 2021-09-29 Hao Xu , Dongxiao Zhang

This work is dedicated to the topological analysis of complex transitional networks for dynamic state detection. Transitional networks are formed from time series data and they leverage graph theory tools to reveal information about the…

Machine Learning · Statistics 2023-08-08 Audun D. Myers , Max M. Chumley , Firas A. Khasawneh , Elizabeth Munch

This paper presents an instruction-based coordination architecture for Field-Programmable Gate Array (FPGA)-based systems with multiple high-performance Processing Units (PUs) for accelerating Deep Neural Network (DNN) inference. This…

Hardware Architecture · Computer Science 2026-01-06 Anastasios Petropoulos , Theodore Antonakopoulos

Conditional computation for Deep Neural Networks (DNNs) reduce overall computational load and improve model accuracy by running a subset of the network. In this work, we present a runtime throttleable neural network (TNN) that can…

Machine Learning · Computer Science 2020-11-06 Hengyue Liu , Samyak Parajuli , Jesse Hostetler , Sek Chai , Bir Bhanu

Neural networks (NN)-based learning algorithms are strongly affected by the choices of initialization and data distribution. Different optimization strategies have been proposed for improving the learning trajectory and finding a better…

Machine Learning · Computer Science 2021-03-19 Yimeng Min

We study the control of noise-induced spatio-temporal current density patterns in a semiconductor nanostructure (double barrier resonant tunnelling diode) by multiple time-delayed feedback. We find much more pronounced resonant features of…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Niels Majer , Eckehard Schöll

Purpose: We propose a novel method for continual learning based on the increasing depth of neural networks. This work explores whether extending neural network depth may be beneficial in a life-long learning setting. Methods: We propose a…

Machine Learning · Computer Science 2023-05-09 Jędrzej Kozal , Michał Woźniak

Predictive coding (PC) is an influential theory in computational neuroscience, which argues that the cortex forms unsupervised world models by implementing a hierarchical process of prediction error minimization. PC networks (PCNs) are…

Neural and Evolutionary Computing · Computer Science 2022-08-05 Beren Millidge , Yuhang Song , Tommaso Salvatori , Thomas Lukasiewicz , Rafal Bogacz

Recent findings show that deep convolutional neural networks (DCNNs) do not generalize well under partial occlusion. Inspired by the success of compositional models at classifying partially occluded objects, we propose to integrate…

Computer Vision and Pattern Recognition · Computer Science 2020-04-20 Adam Kortylewski , Ju He , Qing Liu , Alan Yuille

Recurrent neural networks (RNNs) are a vital modeling technique that rely on internal states learned indirectly by optimization of a supervised, unsupervised, or reinforcement training loss. RNNs are used to model dynamic processes that are…

We present a novel implementation of conditional Long Short-Term Memory Recurrent Neural Networks that successfully predict the spectral evolution of a pulse in nonlinear periodically-poled waveguides. The developed networks offer large…

Optics · Physics 2024-02-05 Simone Lauria , Mohammed F. Saleh

For deep neural networks (DNNs) to be used in safety-critical autonomous driving tasks, it is desirable to monitor in operation time if the input for the DNN is similar to the data used in DNN training. While recent results in monitoring…

Machine Learning · Computer Science 2021-09-28 Chih-Hong Cheng

Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when preserving local geometric structure rather than…

Machine Learning · Computer Science 2026-04-21 Elena Xinyi Wang , Arnur Nigmetov , Dmitriy Morozov
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