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We developed a Nonlinear Level-set Learning (NLL) method for dimensionality reduction in high-dimensional function approximation with small data. This work is motivated by a variety of design tasks in real-world engineering applications,…

Functional Analysis · Mathematics 2019-06-20 Guannan Zhang , Jiaxin Zhang , Jacob Hinkle

In this paper we accomplish the development of the fast rank-adaptive solver for tensor-structured symmetric positive definite linear systems in higher dimensions. In [arXiv:1301.6068] this problem is approached by alternating minimization…

Numerical Analysis · Mathematics 2014-10-07 Sergey V. Dolgov , Dmitry V. Savostyanov

The development of inverse design, where computational optimization techniques are used to design devices based on certain specifications, has led to the discovery of many compact, non-intuitive structures with superior performance. Among…

Optics · Physics 2019-02-25 Tyler W. Hughes , Momchil Minkov , Ian A. D. Williamson , Shanhui Fan

Automated design of neural network architectures tailored for a specific task is an extremely promising, albeit inherently difficult, avenue to explore. While most results in this domain have been achieved on image classification and…

Computer Vision and Pattern Recognition · Computer Science 2019-05-20 Vladimir Nekrasov , Hao Chen , Chunhua Shen , Ian Reid

System design tools are often only available as input-output blackboxes: for a given design as input they compute an output representing system behavior. Blackboxes are intended to be run in the forward direction. This paper presents a new…

Machine Learning · Computer Science 2022-04-08 Sanjai Narain , Emily Mak , Dana Chee , Brendan Englot , Kishore Pochiraju , Niraj K. Jha , Karthik Narayan

Artificial neural networks have gone through a recent rise in popularity, achieving state-of-the-art results in various fields, including image classification, speech recognition, and automated control. Both the performance and…

Neural and Evolutionary Computing · Computer Science 2016-11-08 Sean C. Smithson , Guang Yang , Warren J. Gross , Brett H. Meyer

In essence, a neural network is an arbitrary differentiable, parametrized function. Choosing a neural network architecture for any task is as complex as searching the space of those functions. For the last few years, 'neural architecture…

Machine Learning · Computer Science 2021-06-01 George Philipp

While optimal input design for linear systems has been well-established, no systematic approach exists for nonlinear systems where robustness to extrapolation/interpolation errors is prioritized over minimizing estimated parameter variance.…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Yuhan Liu , Máté Kiss , Roland Tóth , Maarten Schoukens

Neural architecture search (NAS) enables finding the best-performing architecture from a search space automatically. Most NAS methods exploit an over-parameterized network (i.e., a supernet) containing all possible architectures (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Youngmin Oh , Hyunju Lee , Bumsub Ham

This article addresses the following problems: 1) First, a nonlinearity analysis is made looking for the presence of nonlinearities in an early phase of the identification process. The level and the nature of the nonlinearities should be…

Systems and Control · Computer Science 2018-04-26 Johan Schoukens , Mark Vaes , Rik Pintelon

RNA design aims to identify RNA sequences that fold into a target secondary structure. This task is challenging in terms of computational efficiency. Most existing methods focus on either minimum free energy (MFE)-based or ensemble-based…

Biomolecules · Quantitative Biology 2026-03-04 Tianshuo Zhou , David H. Mathews , Liang Huang

Inverse design in science and engineering involves determining optimal design parameters that achieve desired performance outcomes, a process often hindered by the complexity and high dimensionality of design spaces, leading to significant…

Machine Learning · Computer Science 2025-02-24 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

The design of embedded systems, that are ubiquitously used in mobile devices and cars, is becoming continuously more complex such that efficient system-level design methods are becoming crucial. My research aims at developing systems that…

Artificial Intelligence · Computer Science 2019-05-15 Philipp Wanko

In computational inverse problems, the optimal experimental design (OED) problem seeks the best locations in time and space at which to take measurements. We investigate the nonlinear OED problem in the context of continuously-indexed…

Numerical Analysis · Mathematics 2025-06-10 Ruhui Jin , Qin Li , Stephen O. Mussmann , Stephen J. Wright

The linear model uses the space defined by the input to project the target or desired signal and find the optimal set of model parameters. When the problem is nonlinear, the adaption requires nonlinear models for good performance, but it…

Machine Learning · Computer Science 2018-02-05 Zhengda Qin , Badong Chen , Nanning Zheng , Jose C. Principe

Our objective is to estimate the unknown compositional input from its output response through an unknown system after estimating the inverse of the original system with a training set. The proposed methods using artificial neural networks…

Machine Learning · Computer Science 2020-01-27 Se Un Park

The automation of neural architecture design has been a coveted alternative to human experts. Recent works have small search space, which is easier to optimize but has a limited upper bound of the optimal solution. Extra human design is…

Computer Vision and Pattern Recognition · Computer Science 2021-08-19 Yuanzheng Ci , Chen Lin , Ming Sun , Boyu Chen , Hongwen Zhang , Wanli Ouyang

We propose a novel method that makes use of deep neural networks and gradient decent to perform automated design on complex real world engineering tasks. Our approach works by training a neural network to mimic the fitness function of a…

Machine Learning · Statistics 2017-10-31 Oliver Hennigh

Deep convolutional neural networks (CNNs) have been widely used in surface defect detection. However, no CNN architecture is suitable for all detection tasks and designing effective task-specific requires considerable effort. The neural…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Zhenrong Wang , Bin Li , Weifeng Li , Shuanlong Niu , Wang Miao , Tongzhi Niu

In drug discovery, highly automated high-throughput laboratories are used to screen a large number of compounds in search of effective drugs. These experiments are expensive, so one might hope to reduce their cost by only experimenting on a…

Machine Learning · Computer Science 2025-04-15 Ihor Neporozhnii , Julien Roy , Emmanuel Bengio , Jason Hartford
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