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Symbolic regression aims to find a function that best explains the relationship between independent variables and the objective value based on a given set of sample data. Genetic programming (GP) is usually considered as an appropriate…

Neural and Evolutionary Computing · Computer Science 2022-09-26 Changtong Luo , Chen Chen , Zonglin Jiang

Symbolic regression (SR) is a data analysis problem where we search for the mathematical expression that best fits a numerical dataset. It is a global optimization problem. The most popular approach to SR is by genetic programming (SRGP).…

Neural and Evolutionary Computing · Computer Science 2019-11-19 Sohrab Towfighi

A widely believed explanation for the remarkable generalization capacities of overparameterized neural networks is that the optimization algorithms used for training induce an implicit bias towards benign solutions. To grasp this…

Machine Learning · Computer Science 2025-12-19 Maria Matveev , Vit Fojtik , Hung-Hsu Chou , Gitta Kutyniok , Johannes Maly

We study the generalization error of randomized learning algorithms -- focusing on stochastic gradient descent (SGD) -- using a novel combination of PAC-Bayes and algorithmic stability. Importantly, our generalization bounds hold for all…

Machine Learning · Computer Science 2020-06-23 Ben London

Traditional Linear Genetic Programming (LGP) algorithms are based only on the selection mechanism to guide the search. Genetic operators combine or mutate random portions of the individuals, without knowing if the result will lead to a…

Neural and Evolutionary Computing · Computer Science 2017-04-05 Léo Françoso Dal Piccol Sotto , Vinícius Veloso de Melo

Deep learning methods for pansharpening have advanced rapidly, yet models pretrained on data from a specific sensor often generalize poorly to data from other sensors. Existing methods to tackle such cross-sensor degradation include…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Tianyu Xin , Jin-Liang Xiao , Zeyu Xia , Shan Yin , Liang-Jian Deng

We present a supervised-learning algorithm from graph data (a set of graphs) for arbitrary twice-differentiable loss functions and sparse linear models over all possible subgraph features. To date, it has been shown that under all possible…

Machine Learning · Statistics 2014-03-21 Ichigaku Takigawa , Hiroshi Mamitsuka

Genetic programming (GP) is one of the best approaches today to discover symbolic regression models. To find models that trade off accuracy and complexity, the non-dominated sorting genetic algorithm II (NSGA-II) is widely used.…

Neural and Evolutionary Computing · Computer Science 2022-02-17 Dazhuang Liu , Marco Virgolin , Tanja Alderliesten , Peter A. N. Bosman

Surrogate model can replace the parametric full-order model (FOM) by an approximation model, which can significantly improve the efficiency of optimization design and reduce the complexity of engineering systems. However, due to limitations…

Fluid Dynamics · Physics 2025-03-18 Xu Wang , Ruiqi Huang , Jiaqing Kou , Hui Tang , Weiwei Zhang

We present a novel approach to feature labeling using gradient descent in token-space. While existing methods typically use language models to generate hypotheses about feature meanings, our method directly optimizes label representations…

Machine Learning · Computer Science 2025-04-02 Julian Schulz , Seamus Fallows

In this paper, we address learning problems for high dimensional data. Previously, oblivious random projection based approaches that project high dimensional features onto a random subspace have been used in practice for tackling…

Machine Learning · Computer Science 2016-12-07 Yi Xu , Haiqin Yang , Lijun Zhang , Tianbao Yang

In this study, we use Genetic Programming (GP) to compose new optimization benchmark functions. Optimization benchmarks have the important role of showing the differences between evolutionary algorithms, making it possible for further…

Neural and Evolutionary Computing · Computer Science 2024-03-22 Yifan He , Claus Aranha

The rapid evolution of generative AI, from GANs to modern diffusion models, has resulted in increasingly subtle discriminative clues. These fine-grained signals are often overshadowed by dominant, high-fidelity image content (e.g., the main…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Xiaoyu Zhou , Jianwei Fei , Peipeng Yu , Jingchang Xie , Chong Cheng , Zhihua Xia

The sparse Beyesian learning (also referred to as Bayesian compressed sensing) algorithm is one of the most popular approaches for sparse signal recovery, and has demonstrated superior performance in a series of experiments. Nevertheless,…

Information Theory · Computer Science 2015-01-21 Fuwei Li , Jun Fang , Huiping Duan , Zhi Chen , Hongbin Li

Many computer vision and medical imaging problems are faced with learning from large-scale datasets, with millions of observations and features. In this paper we propose a novel efficient learning scheme that tightens a sparsity constraint…

Machine Learning · Statistics 2017-02-07 Adrian Barbu , Yiyuan She , Liangjing Ding , Gary Gramajo

In many applications, training machine learning models involves using large amounts of human-annotated data. Obtaining precise labels for the data is expensive. Instead, training with weak supervision provides a low-cost alternative. We…

Machine Learning · Computer Science 2022-02-09 Chidubem Arachie , Bert Huang

We study the addition of shape constraints (SC) and their consideration during the parameter identification step of symbolic regression (SR). SC serve as a means to introduce prior knowledge about the shape of the otherwise unknown model…

Machine Learning · Computer Science 2024-08-07 Viktor Martinek , Julia Reuter , Ophelia Frotscher , Sanaz Mostaghim , Markus Richter , Roland Herzog

Models trained in federated settings often suffer from degraded performances and fail at generalizing, especially when facing heterogeneous scenarios. In this work, we investigate such behavior through the lens of geometry of the loss and…

Machine Learning · Computer Science 2022-07-22 Debora Caldarola , Barbara Caputo , Marco Ciccone

In this work, we generalize semi-supervised generative adversarial networks (GANs) from classification problems to regression problems. In the last few years, the importance of improving the training of neural networks using semi-supervised…

Machine Learning · Computer Science 2019-09-05 Greg Olmschenk , Zhigang Zhu , Hao Tang

Sharpness-Aware Minimization (SAM) has substantially improved the generalization of neural networks under various settings. Despite the success, its effectiveness remains poorly understood. In this work, we discover an intriguing phenomenon…

Machine Learning · Computer Science 2025-02-21 Zhanpeng Zhou , Mingze Wang , Yuchen Mao , Bingrui Li , Junchi Yan