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Symbolic regression corresponds to an ensemble of techniques that allow to uncover an analytical equation from data. Through a closed form formula, these techniques provide great advantages such as potential scientific discovery of new…

Machine Learning · Computer Science 2021-10-27 Ismail Alaoui Abdellaoui , Siamak Mehrkanoon

Evaluating competing systems in a comparable way, i.e., benchmarking them, is an undeniable pillar of the scientific method. However, system performance is often summarized via a small number of metrics. The analysis of the evaluation…

Machine Learning · Computer Science 2025-10-24 Quannian Zhang , Michael Röder , Nikit Srivastava , N'Dah Jean Kouagou , Axel-Cyrille Ngonga Ngomo

Previous contrastive learning methods for sentence representations often focus on insensitive transformations to produce positive pairs, but neglect the role of sensitive transformations that are harmful to semantic representations.…

Computation and Language · Computer Science 2023-03-10 Jie Liu , Yixuan Liu , Xue Han , Chao Deng , Junlan Feng

Symbolic regression is emerging as a promising machine learning method for learning succinct underlying interpretable mathematical expressions directly from data. Whereas it has been traditionally tackled with genetic programming, it has…

Machine Learning · Computer Science 2025-01-14 Nour Makke , Sanjay Chawla

In a regression task, a function is learned from labeled data to predict the labels at new data points. The goal is to achieve small prediction errors. In symbolic regression, the goal is more ambitious, namely, to learn an interpretable…

Machine Learning · Computer Science 2025-06-25 Paul Kahlmeyer , Joachim Giesen , Michael Habeck , Henrik Voigt

We describe a novel approach to explainable prediction of a continuous variable based on learning fuzzy weighted rules. Our model trains a set of weighted rules to maximise prediction accuracy and minimise an ontology-based 'semantic loss'…

Artificial Intelligence · Computer Science 2022-08-29 Martin Glauer , Robert West , Susan Michie , Janna Hastings

Semantic segmentation is a computer vision task that associates a label with each pixel in an image. Modern approaches tend to introduce class embeddings into semantic segmentation for deeply utilizing category semantics, and regard…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Yuhe Liu , Chuanjian Liu , Kai Han , Quan Tang , Zengchang Qin

Recent years have witnessed the success of dictionary learning (DL) based approaches in the domain of pattern classification. In this paper, we present an efficient structured dictionary learning (ESDL) method which takes both the diversity…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Zi-Qi Li , Jun Sun , Xiao-Jun Wu , He-Feng Yin

Symbolic regression is a powerful technique that can discover analytical equations that describe data, which can lead to explainable models and generalizability outside of the training data set. In contrast, neural networks have achieved…

Machine Learning · Computer Science 2022-03-10 Samuel Kim , Peter Y. Lu , Srijon Mukherjee , Michael Gilbert , Li Jing , Vladimir Čeperić , Marin Soljačić

This paper studies the problem of learning causal structures from observational data. We reformulate the Structural Equation Model (SEM) with additive noises in a form parameterized by binary graph adjacency matrix and show that, if the…

Machine Learning · Computer Science 2022-01-11 Ignavier Ng , Shengyu Zhu , Zhuangyan Fang , Haoyang Li , Zhitang Chen , Jun Wang

Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…

This paper focuses on a key challenge in visual emotion understanding: given an art image, the model pinpoints pixel regions that trigger a specific human emotion, and generates linguistic explanations for it. Despite advances in general…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Jing Zhang , Dan Guo , Zhangbin Li , Meng Wang

Automated scientific discovery aims to improve scientific understanding through machine learning. A central approach in this field is symbolic regression, which uses genetic programming or sparse regression to learn interpretable…

Neural and Evolutionary Computing · Computer Science 2026-03-11 Sigur de Vries , Sander W. Keemink , Marcel A. J. van Gerven

Equation Discovery techniques have shown considerable success in regression tasks, where they are used to discover concise and interpretable models (\textit{Symbolic Regression}). In this paper, we propose a new ED-based binary…

Machine Learning · Computer Science 2025-10-29 Guus Toussaint , Arno Knobbe

In classical machine learning, regression is treated as a black box process of identifying a suitable function from a hypothesis set without attempting to gain insight into the mechanism connecting inputs and outputs. In the natural…

Machine Learning · Computer Science 2016-10-11 Georg Martius , Christoph H. Lampert

Most of the neural networks (NNs) learned via state-of-the-art machine learning techniques are black-box models. For a widespread success of machine learning in science and engineering, it is important to develop new NN architectures to…

Machine Learning · Computer Science 2021-05-17 Gang Chen

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

EEG based multi-dimension emotion recognition has attracted substantial research interest in human computer interfaces. However, the high dimensionality of EEG features, coupled with limited sample sizes, frequently leads to classifier…

Human-Computer Interaction · Computer Science 2025-08-08 Tianze Yu , Junming Zhang , Wenjia Dong , Xueyuan Xu , Li Zhuo

Symbolic equations are at the core of scientific discovery. The task of discovering the underlying equation from a set of input-output pairs is called symbolic regression. Traditionally, symbolic regression methods use hand-designed…

Machine Learning · Computer Science 2021-06-14 Luca Biggio , Tommaso Bendinelli , Alexander Neitz , Aurelien Lucchi , Giambattista Parascandolo

Printed Mathematical expression recognition (PMER) aims to transcribe a printed mathematical expression image into a structural expression, such as LaTeX expression. It is a crucial task for many applications, including automatic question…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Yingnan Fu , Tingting Liu , Ming Gao , Aoying Zhou
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