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The present paper deals with the data-driven design of regularizers in the form of artificial neural networks, for solving certain inverse problems formulated as optimal control problems. These regularizers aim at improving accuracy,…

最优化与控制 · 数学 2023-03-06 Sebastien Court

Deep learning is a powerful tool for solving nonlinear differential equations, but usually, only the solution corresponding to the flattest local minimizer can be found due to the implicit regularization of stochastic gradient descent. This…

数值分析 · 数学 2021-03-17 Yiqi Gu , Chunmei Wang , Haizhao Yang

A problem related to the development of algorithms designed to find the structure of artificial neural network used for behavioural (black-box) modelling of selected dynamic processes has been addressed in this paper. The research has…

神经与进化计算 · 计算机科学 2023-09-26 Krzysztof Laddach , Rafał Łangowski , Tomasz A. Rutkowski , Bartosz Puchalski

When optimizing a nonlinear objective, one can employ a neural network as a surrogate for the nonlinear function. However, the resulting optimization model can be time-consuming to solve globally with exact methods. As a result, local…

最优化与控制 · 数学 2026-03-19 Jiatai Tong , Yilin Zhu , Thiago Serra , Samuel Burer

Unsupervised representation learning methods are widely used for gaining insight into high-dimensional, unstructured, or structured data. In some cases, users may have prior topological knowledge about the data, such as a known cluster…

机器学习 · 计算机科学 2023-11-08 Edith Heiter , Robin Vandaele , Tijl De Bie , Yvan Saeys , Jefrey Lijffijt

Neuromorphic neural network processors, in the form of compute-in-memory crossbar arrays of memristors, or in the form of subthreshold analog and mixed-signal ASICs, promise enormous advantages in compute density and energy efficiency for…

机器学习 · 计算机科学 2022-06-14 Julian Büchel , Fynn Faber , Dylan R. Muir

Convolutional neural networks are capable of learning powerful representational spaces, which are necessary for tackling complex learning tasks. However, due to the model capacity required to capture such representations, they are often…

计算机视觉与模式识别 · 计算机科学 2017-11-30 Terrance DeVries , Graham W. Taylor

Neural networks have attracted a lot of attention due to its success in applications such as natural language processing and computer vision. For large scale data, due to the tremendous number of parameters in neural networks, overfitting…

机器学习 · 统计学 2022-07-05 Xiaoxi Shen , Jinghang Lin

Neural Architecture Search methods are effective but often use complex algorithms to come up with the best architecture. We propose an approach with three basic steps that is conceptually much simpler. First we train N random architectures…

机器学习 · 计算机科学 2019-12-03 Wei Wen , Hanxiao Liu , Hai Li , Yiran Chen , Gabriel Bender , Pieter-Jan Kindermans

The problem of neural network association is to retrieve a previously memorized pattern from its noisy version using a network of neurons. An ideal neural network should include three components simultaneously: a learning algorithm, a large…

神经与进化计算 · 计算机科学 2012-06-22 Amir Hesam Salavati , Amin Karbasi

Regularization techniques such as $\mathcal{L}_1$ and $\mathcal{L}_2$ regularizers are effective in sparsifying neural networks (NNs). However, to remove a certain neuron or channel in NNs, all weight elements related to that neuron or…

机器学习 · 计算机科学 2023-05-31 Ali Haisam Muhammad Rafid , Adrian Sandu

We describe a method for utilizing the known structure of input data to make learning more efficient. Our work is in the domain of programming languages, and we use deep neural networks to do program analysis. Computer programs include a…

神经与进化计算 · 计算机科学 2019-04-01 Zehra Sura , Tong Chen , Hyojin Sung

We consider applications of neural networks in nonlinear system identification and formulate a hypothesis that adjusting general network structure by incorporating frequency information or other known orthogonal transform, should result in…

机器学习 · 计算机科学 2025-01-24 Krzysztof Zając , Wojciech Sopot , Paweł Wachel

Continual learning of deep neural networks is a key requirement for scaling them up to more complex applicative scenarios and for achieving real lifelong learning of these architectures. Previous approaches to the problem have considered…

机器学习 · 计算机科学 2020-06-25 Jary Pomponi , Simone Scardapane , Vincenzo Lomonaco , Aurelio Uncini

State-of-the-art neural networks can be trained to become remarkable solutions to many problems. But while these architectures can express symbolic, perfect solutions, trained models often arrive at approximations instead. We show that the…

机器学习 · 计算机科学 2025-09-09 Matan Abudy , Orr Well , Emmanuel Chemla , Roni Katzir , Nur Lan

It has been shown that neural network classifiers are not robust. This raises concerns about their usage in safety-critical systems. We propose in this paper a regularization scheme for ReLU networks which provably improves the robustness…

机器学习 · 计算机科学 2019-03-11 Francesco Croce , Maksym Andriushchenko , Matthias Hein

It is well known that popular optimization techniques can lead to overfitting or even a lack of convergence altogether; thus, practitioners often utilize ad hoc regularization terms added to the energy functional. When carefully crafted,…

计算机视觉与模式识别 · 计算机科学 2020-08-18 Michael Bao , David Hyde , Xinru Hua , Ronald Fedkiw

Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity. Popular applications are image denoising, sparse regression…

最优化与控制 · 数学 2021-11-15 Bennet Gebken , Katharina Bieker , Sebastian Peitz

We consider the two problems of predicting links in a dynamic graph sequence and predicting functions defined at each node of the graph. In many applications, the solution of one problem is useful for solving the other. Indeed, if these…

机器学习 · 计算机科学 2012-03-27 Emile Richard , Andreas Argyriou , Theodoros Evgeniou , Nicolas Vayatis

Regularization is commonly used for alleviating overfitting in machine learning. For convolutional neural networks (CNNs), regularization methods, such as DropBlock and Shake-Shake, have illustrated the improvement in the generalization…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Yi Wang , Zhen-Peng Bian , Junhui Hou , Lap-Pui Chau