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This paper presents an adaptive convolutional neural network (CNN) architecture that can automate diverse topology optimization (TO) problems having different underlying physics. The architecture uses the encoder-decoder networks with dense…

Computational Engineering, Finance, and Science · Computer Science 2025-09-10 Khaish Singh Chadha , Prabhat Kumar

The monotonic dependence of the outputs of a neural network on some of its inputs is a crucial inductive bias in many scenarios where domain knowledge dictates such behavior. This is especially important for interpretability and fairness…

Machine Learning · Computer Science 2023-07-17 Ouail Kitouni , Niklas Nolte , Michael Williams

This paper presents a novel framework of neural networks for isotropic hyperelasticity that enforces necessary physical and mathematical constraints while simultaneously satisfying the universal approximation theorem. The two key…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Gian-Luca Geuken , Patrick Kurzeja , David Wiedemann , Jörn Mosler

Implicit neural networks are a general class of learning models that replace the layers in traditional feedforward models with implicit algebraic equations. Compared to traditional learning models, implicit networks offer competitive…

Machine Learning · Computer Science 2021-12-13 Saber Jafarpour , Matthew Abate , Alexander Davydov , Francesco Bullo , Samuel Coogan

The mathematical formulation of constitutive models to describe the path-dependent, i.e., inelastic, behavior of materials is a challenging task and has been a focus in mechanics research for several decades. There have been increased…

Computational Engineering, Finance, and Science · Computer Science 2023-09-06 Max Rosenkranz , Karl A. Kalina , Jörg Brummund , Markus Kästner

Computational efficiency and robustness are essential in process modeling, optimization, and control for real-world engineering applications. While neural network-based approaches have gained significant attention in recent years,…

Machine Learning · Computer Science 2026-03-17 Zihao Wang , Yuhan Li , Yao Shi , Zhe Wu

We present a neural network approach for fast evaluation of parameter-dependent polyconvex envelopes, which are crucial in computational mechanics. Our method uses a neural network architecture that inherently encodes polyconvexity in the…

Numerical Analysis · Mathematics 2025-04-11 Loïc Balazi , Timo Neumeier , Malte A. Peter , Daniel Peterseim

In image classification task, feature extraction is always a big issue. Intra-class variability increases the difficulty in designing the extractors. Furthermore, hand-crafted feature extractor cannot simply adapt new situation. Recently,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Chieh-Ning Fang , Chin-Teng Lin

The design of neural network architectures is frequently either based on human expertise using trial/error and empirical feedback or tackled via large scale reinforcement learning strategies performed over distinct discrete architecture…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Yunyang Xiong , Ronak Mehta , Vikas Singh

This paper introduces an Interpretable Neural Network (INN) incorporating spatial information to tackle the opaque parameterization process of random weighted neural networks. The INN leverages spatial information to elucidate the…

Machine Learning · Computer Science 2024-04-16 Jing Nan , Wei Dai

Neural networks are often regarded as "black boxes" due to their complex functions and numerous parameters, which poses significant challenges for interpretability. This study addresses these challenges by introducing methods to enhance the…

Machine Learning · Statistics 2024-09-26 Mohamad Yamen AL Mohamad , Hossein Bevrani , Ali Akbar Haydari

Artificial neural networks which are inspired from the learning mechanism of brain have achieved great successes in many problems, especially those with deep layers. In this paper, we propose a nucleus neural network (NNN) and corresponding…

Computer Vision and Pattern Recognition · Computer Science 2019-05-15 Jia Liu , Maoguo Gong , Haibo He

Accurate constitutive models of soft materials are crucial for understanding their mechanical behavior and ensuring reliable predictions in the design process. To this end, scientific machine learning research has produced flexible and…

Computational Engineering, Finance, and Science · Computer Science 2025-03-04 Adrian Buganza Tepole , Asghar Jadoon , Manuel Rausch , Jan N. Fuhg

Wider adoption of neural networks in many critical domains such as finance and healthcare is being hindered by the need to explain their predictions and to impose additional constraints on them. Monotonicity constraint is one of the most…

Machine Learning · Computer Science 2023-06-02 Davor Runje , Sharath M. Shankaranarayana

Neural networks are powerful function estimators, leading to their status as a paradigm of choice for modeling structured data. However, unlike other structured representations that emphasize the modularity of the problem -- e.g., factor…

Machine Learning · Computer Science 2022-06-20 Tsvetomila Mihaylova , Vlad Niculae , André F. T. Martins

Prediction accuracy and model explainability are the two most important objectives when developing machine learning algorithms to solve real-world problems. The neural networks are known to possess good prediction performance, but lack of…

Machine Learning · Statistics 2019-09-04 Zebin Yang , Aijun Zhang , Agus Sudjianto

A new computationally simple method of imposing hard convex constraints on the neural network output values is proposed. The key idea behind the method is to map a vector of hidden parameters of the network to a point that is guaranteed to…

Machine Learning · Computer Science 2023-07-21 Andrei V. Konstantinov , Lev V. Utkin

Power system voltage regulation is crucial to maintain power quality while integrating intermittent renewable resources in distribution grids. However, the system model on the grid edge is often unknown, making it difficult to model…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Jiaqi Wu , Jingyi Yuan , Yang Weng , Guangwen Wang

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

Machine Learning · Computer Science 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

The architecture of a neural network (NN) plays a critical role in determining its performance. However, there is no general closed-form function that maps between network structure and accuracy, making the process of architecture design…

Machine Learning · Computer Science 2025-07-29 Jinwook Hong