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Recently, deep neural network (DNN) has been widely adopted in the design of intelligent communication systems thanks to its strong learning ability and low testing complexity. However, most current offline DNN-based methods still suffer…

Information Theory · Computer Science 2022-02-08 Jiabao Gao , Caijun Zhong , Geoffrey Ye Li , Zhaoyang Zhang

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

Machine Learning · Statistics 2024-02-20 Amanda Lenzi , Haavard Rue

We present a novel application of neural networks to design improved mixing elements for single-screw extruders. Specifically, we propose to use neural networks in numerical shape optimization to parameterize geometries. Geometry…

Computational Engineering, Finance, and Science · Computer Science 2023-02-13 Jaewook Lee , Sebastian Hube , Stefanie Elgeti

In this paper, we study the problem of improving computational resource utilization of neural networks. Deep neural networks are usually over-parameterized for their tasks in order to achieve good performances, thus are likely to have…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Siyuan Qiao , Zhe Lin , Jianming Zhang , Alan Yuille

Data-driven algorithm design is a paradigm that uses statistical and machine learning techniques to select from a class of algorithms for a computational problem an algorithm that has the best expected performance with respect to some…

Machine Learning · Computer Science 2024-06-05 Hongyu Cheng , Sammy Khalife , Barbara Fiedorowicz , Amitabh Basu

We consider numerical approaches for deterministic, finite-dimensional optimal control problems whose dynamics depend on unknown or uncertain parameters. We seek to amortize the solution over a set of relevant parameters in an offline stage…

Optimization and Control · Mathematics 2024-02-16 Deepanshu Verma , Nick Winovich , Lars Ruthotto , Bart van Bloemen Waanders

This paper introduces a tensor neural network (TNN) to address nonparametric regression problems, leveraging its distinct sub-network structure to effectively facilitate variable separation and enhance the approximation of complex,…

Machine Learning · Statistics 2024-09-16 Yongxin Li , Yifan Wang , Zhongshuo Lin , Hehu Xie

Hyperparameter selection in continual learning scenarios is a challenging and underexplored aspect, especially in practical non-stationary environments. Traditional approaches, such as grid searches with held-out validation data from all…

Machine Learning · Computer Science 2024-06-21 Rudy Semola , Julio Hurtado , Vincenzo Lomonaco , Davide Bacciu

Robust iterative methods for solving large sparse systems of linear algebraic equations often suffer from the problem of optimizing the corresponding tuning parameters. To improve the performance of the problem of interest, specific…

Numerical Analysis · Mathematics 2023-10-18 Andrey Petrushov , Boris Krasnopolsky

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contribution we revisit the core principles of optimization…

This paper presents a state-of-the-art overview on how to architect, design, and optimize Deep Neural Networks (DNNs) such that performance is improved and accuracy is preserved. The paper covers a set of optimizations that span the entire…

Machine Learning · Computer Science 2022-08-05 Humberto Carvalho , Pavel Zaykov , Asim Ukaye

This paper investigates the problem of optimal predictor design for distributed parameter systems using neural networks and shape optimization. Sensors with various shapes are placed on the domain of the distributed parameter system. Data…

Optimization and Control · Mathematics 2021-05-13 M. Sajjad Edalatzadeh , Roland Herzog

With the rapid development of Deep Learning, more and more applications on the cloud and edge tend to utilize large DNN (Deep Neural Network) models for improved task execution efficiency as well as decision-making quality. Due to memory…

Machine Learning · Computer Science 2024-07-02 Jingran Shen , Nikos Tziritas , Georgios Theodoropoulos

A new method to solve computationally challenging (random) parametric obstacle problems is developed and analyzed, where the parameters can influence the related partial differential equation (PDE) and determine the position and surface…

Machine Learning · Computer Science 2025-04-08 Martin Eigel , Cosmas Heiß , Janina E. Schütte

Real-world systems are often formulated as constrained optimization problems. Techniques to incorporate constraints into Neural Networks (NN), such as Neural Ordinary Differential Equations (Neural ODEs), have been used. However, these…

Machine Learning · Computer Science 2025-03-27 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

Projection-based reduced order models are effective at approximating parameter-dependent differential equations that are parametrically separable. When parametric separability is not satisfied, which occurs in both linear and nonlinear…

Numerical Analysis · Mathematics 2021-10-22 Peter Sentz , Kristian Beckwith , Eric C. Cyr , Luke N. Olson , Ravi Patel

Recent years have seen deep neural networks (DNNs) becoming wider and deeper to achieve better performance in many applications of AI. Such DNNs however require huge amounts of memory to store weights and intermediate results (e.g.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-27 Taro Sekiyama , Takashi Imamichi , Haruki Imai , Rudy Raymond

This paper proposes a novel meta-learning based hyper-parameter optimization framework for wireless network traffic prediction (NTP) models. The primary objective is to accumulate and leverage the acquired hyper-parameter optimization…

Networking and Internet Architecture · Computer Science 2025-05-06 Liangzhi Wang , Jie Zhang , Yuan Gao , Jiliang Zhang , Guiyi Wei , Haibo Zhou , Bin Zhuge , Zitian Zhang

Topology optimization is computationally demanding that requires the assembly and solution to a finite element problem for each material distribution hypothesis. As a complementary alternative to the traditional physics-based topology…

Machine Learning · Computer Science 2018-08-23 Saurabh Banga , Harsh Gehani , Sanket Bhilare , Sagar Patel , Levent Kara

Many engineering tasks require solving families of nonlinear constrained optimization problems, parametrized in setting-specific variables. This is computationally demanding, particularly, if solutions have to be computed across strongly…

Optimization and Control · Mathematics 2025-12-24 Matthias K. Hoffmann , Amine Othmane , Kathrin Flaßkamp