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This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

流体动力学 · 物理学 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

In this work, we propose a generalized likelihood ratio method capable of training the artificial neural networks with some biological brain-like mechanisms,.e.g., (a) learning by the loss value, (b) learning via neurons with discontinuous…

机器学习 · 计算机科学 2019-07-12 Li Xiao , Yijie Peng , Jeff Hong , Zewu Ke , Shuhuai Yang

State-of-the-art neurosymbolic learning systems use probabilistic reasoning to guide neural networks towards predictions that conform to logical constraints over symbols. Many such systems assume that the probabilities of the considered…

机器学习 · 统计学 2024-06-10 Emile van Krieken , Pasquale Minervini , Edoardo M. Ponti , Antonio Vergari

This report discusses the application of neural networks (NNs) as small segments of the brain. The networks representing the biological connectome are altered both spatially and temporally. The degradation techniques applied here are…

神经元与认知 · 定量生物学 2020-08-04 Jacob Adamczyk

Methods to certify the robustness of neural networks in the presence of input uncertainty are vital in safety-critical settings. Most certification methods in the literature are designed for adversarial or worst-case inputs, but researchers…

机器学习 · 计算机科学 2023-01-26 Brendon G. Anderson , Somayeh Sojoudi

How can the stability and efficiency of Artificial Neural Networks (ANNs) be ensured through a systematic analysis method? This paper seeks to address that query. While numerous factors can influence the learning process of ANNs, utilizing…

人工智能 · 计算机科学 2023-10-10 Cheng Kang , Xujing Yao

In this paper we address the issue of output instability of deep neural networks: small perturbations in the visual input can significantly distort the feature embeddings and output of a neural network. Such instability affects many deep…

计算机视觉与模式识别 · 计算机科学 2016-04-18 Stephan Zheng , Yang Song , Thomas Leung , Ian Goodfellow

Many failures in deep continual and reinforcement learning are associated with increasing magnitudes of the weights, making them hard to change and potentially causing overfitting. While many methods address these learning failures, they…

机器学习 · 计算机科学 2024-07-03 Mohamed Elsayed , Qingfeng Lan , Clare Lyle , A. Rupam Mahmood

Capturing aleatoric uncertainty is a critical part of many machine learning systems. In deep learning, a common approach to this end is to train a neural network to estimate the parameters of a heteroscedastic Gaussian distribution by…

机器学习 · 计算机科学 2022-04-04 Maximilian Seitzer , Arash Tavakoli , Dimitrije Antic , Georg Martius

The loss of a few neurons in a brain rarely results in any visible loss of function. However, the insight into what "few" means in this context is unclear. How many random neuron failures will it take to lead to a visible loss of function?…

机器学习 · 统计学 2019-09-26 El-Mahdi El-Mhamdi , Rachid Guerraoui , Andrei Kucharavy , Sergei Volodin

Procedures in assessing the impact of serial dependency on performance analysis are usually built on parametrically specified models. In this paper, we propose a robust, nonparametric approach to carry out this assessment, by computing the…

统计方法学 · 统计学 2016-06-22 Henry Lam

The functionality of electronic circuits can be seriously impaired by the occurrence of dynamic hardware faults. Particularly, for digital ultra low-power systems, a reduced safety margin can increase the probability of dynamic failures.…

机器学习 · 计算机科学 2022-10-18 Daniel Gregorek , Nils Hülsmeier , Steffen Paul

There is a wide availability of methods for testing normality under the assumption of independent and identically distributed data. When data are dependent in space and/or time, however, assessing and testing the marginal behavior is…

统计方法学 · 统计学 2023-10-17 Minwoo Kim , Marc G Genton , Raphael Huser , Stefano Castruccio

Stochasticity and limited precision of synaptic weights in neural network models are key aspects of both biological and hardware modeling of learning processes. Here we show that a neural network model with stochastic binary weights…

无序系统与神经网络 · 物理学 2018-07-04 Carlo Baldassi , Federica Gerace , Hilbert J. Kappen , Carlo Lucibello , Luca Saglietti , Enzo Tartaglione , Riccardo Zecchina

In many contexts, customized and weighted classification scores are designed in order to evaluate the goodness of the predictions carried out by neural networks. However, there exists a discrepancy between the maximization of such scores…

机器学习 · 计算机科学 2023-05-24 Francesco Marchetti , Sabrina Guastavino , Cristina Campi , Federico Benvenuto , Michele Piana

We propose layer saturation - a simple, online-computable method for analyzing the information processing in neural networks. First, we show that a layer's output can be restricted to the eigenspace of its variance matrix without…

机器学习 · 计算机科学 2021-11-23 Mats L. Richter , Justin Shenk , Wolf Byttner , Anders Arpteg , Mikael Huss

Probabilistic models often use neural networks to control their predictive uncertainty. However, when making out-of-distribution (OOD)} predictions, the often-uncontrollable extrapolation properties of neural networks yield poor uncertainty…

机器学习 · 计算机科学 2022-01-19 Pierre Segonne , Yevgen Zainchkovskyy , Søren Hauberg

Neural networks with binary weights are computation-efficient and hardware-friendly, but their training is challenging because it involves a discrete optimization problem. Surprisingly, ignoring the discrete nature of the problem and using…

机器学习 · 计算机科学 2020-08-19 Xiangming Meng , Roman Bachmann , Mohammad Emtiyaz Khan

Reinforcement learning systems require good representations to work well. For decades practical success in reinforcement learning was limited to small domains. Deep reinforcement learning systems, on the other hand, are scalable, not…

机器学习 · 计算机科学 2020-03-18 Sina Ghiassian , Banafsheh Rafiee , Yat Long Lo , Adam White

The dynamics of physical systems is often constrained to lower dimensional sub-spaces due to the presence of conserved quantities. Here we propose a method to learn and exploit such symmetry constraints building upon Hamiltonian Neural…

机器学习 · 计算机科学 2021-04-30 Marc Syvaeri , Sven Krippendorf
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