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Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered.…

无序系统与神经网络 · 物理学 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

Recovering high-resolution images from limited sensory data typically leads to a serious ill-posed inverse problem, demanding inversion algorithms that effectively capture the prior information. Learning a good inverse mapping from training…

计算机视觉与模式识别 · 计算机科学 2018-06-12 Morteza Mardani , Qingyun Sun , Shreyas Vasawanala , Vardan Papyan , Hatef Monajemi , John Pauly , David Donoho

We investigate the predictive power of recurrent neural networks for oscillatory systems not only on the attractor, but in its vicinity as well. For this we consider systems perturbed by an external force. This allows us to not merely…

适应与自组织系统 · 物理学 2019-07-02 Rok Cestnik , Markus Abel

The research presented in this paper advances the integration of Hebbian learning into Convolutional Neural Networks (CNNs) for image processing, systematically exploring different architectures to build an optimal configuration, adhering…

神经与进化计算 · 计算机科学 2026-05-05 Julian Jimenez Nimmo , Esther Mondragon

On the basis of the general form for the energy needed to adapt the connection strengths of a network in which learning takes place, a local learning rule is found for the changes of the weights. This biologically realizable learning rule…

无序系统与神经网络 · 物理学 2009-10-31 M. Heerema , W. A. van Leeuwen

Recurrent Neural Networks (RNNs) have long been recognized for their potential to model complex time series. However, it remains to be determined what optimization techniques and recurrent architectures can be used to best realize this…

机器学习 · 统计学 2015-10-19 Ben Krause

Recurrent neural networks (RNNs) were designed for dealing with time-series data and have recently been used for creating predictive models from functional magnetic resonance imaging (fMRI) data. However, gathering large fMRI datasets for…

图像与视频处理 · 电气工程与系统科学 2019-10-16 Nicha C. Dvornek , Xiaoxiao Li , Juntang Zhuang , James S. Duncan

Circuits of biological neurons, such as in the functional parts of the brain can be modeled as networks of coupled oscillators. Inspired by the ability of these systems to express a rich set of outputs while keeping (gradients of) state…

机器学习 · 计算机科学 2021-03-16 T. Konstantin Rusch , Siddhartha Mishra

We propose a new way of constructing invertible neural networks by combining simple building blocks with a novel set of composition rules. This leads to a rich set of invertible architectures, including those similar to ResNets. Inversion…

机器学习 · 计算机科学 2019-10-30 Yang Song , Chenlin Meng , Stefano Ermon

We show that standard ResNet architectures can be made invertible, allowing the same model to be used for classification, density estimation, and generation. Typically, enforcing invertibility requires partitioning dimensions or restricting…

机器学习 · 计算机科学 2019-05-21 Jens Behrmann , Will Grathwohl , Ricky T. Q. Chen , David Duvenaud , Jörn-Henrik Jacobsen

We demonstrate a machine learning based approach which can learn the time-dependent electronic excitation dynamics of small molecules subjected to ion irradiation. Ensembles of recurrent neural networks are trained on data generated by…

化学物理 · 物理学 2024-09-24 Ethan P. Shapera , Cheng-Wei Lee

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…

计算与语言 · 计算机科学 2017-04-25 Zhe Gan , Chunyuan Li , Changyou Chen , Yunchen Pu , Qinliang Su , Lawrence Carin

In this work we present a novel recurrent neural network architecture designed to model systems characterized by multiple characteristic timescales in their dynamics. The proposed network is composed by several recurrent groups of neurons…

神经与进化计算 · 计算机科学 2017-01-19 Filippo Maria Bianchi , Michael Kampffmeyer , Enrico Maiorino , Robert Jenssen

We perform a stationary state replica analysis for a layered network of Ising spin neurons, with recurrent Hebbian interactions within each layer, in combination with strictly feed-forward Hebbian interactions between successive layers.…

凝聚态物理 · 物理学 2009-10-28 A. C. C. Coolen , L. Viana

Attentional Neural Network is a new framework that integrates top-down cognitive bias and bottom-up feature extraction in one coherent architecture. The top-down influence is especially effective when dealing with high noise or difficult…

计算机视觉与模式识别 · 计算机科学 2014-11-20 Qian Wang , Jiaxing Zhang , Sen Song , Zheng Zhang

Driven by the need for more efficient and seamless integration of physical models and data, physics-informed neural networks (PINNs) have seen a surge of interest in recent years. However, ensuring the reliability of their convergence and…

We define an evolving in-time Bayesian neural network called a Hidden Markov Neural Network, which addresses the crucial challenge in time-series forecasting and continual learning: striking a balance between adapting to new data and…

机器学习 · 统计学 2025-01-17 Lorenzo Rimella , Nick Whiteley

Deep neural networks are highly expressive machine learning models with the ability to interpolate arbitrary datasets. Deep nets are typically optimized via first-order methods and the optimization process crucially depends on the…

机器学习 · 统计学 2019-11-12 Talha Cihad Gulcu

Recurrent neural networks are capable of learning the dynamics of an unknown nonlinear system purely from input-output measurements. However, the resulting models do not provide any stability guarantees on the input-output mapping. In this…

机器学习 · 计算机科学 2022-12-19 Daniel Frank , Decky Aspandi Latif , Michael Muehlebach , Benjamin Unger , Steffen Staab

$\partial\mathbb{B}$ nets are differentiable neural networks that learn discrete boolean-valued functions by gradient descent. $\partial\mathbb{B}$ nets have two semantically equivalent aspects: a differentiable soft-net, with real weights,…

机器学习 · 计算机科学 2023-05-15 Ian Wright