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The symbolic dynamics technique is well-known for low-dimensional dynamical systems and chaotic maps, and lies at the roots of the thermodynamic formalism of dynamical systems. Here we show that this technique can also be successfully…

混沌动力学 · 物理学 2017-08-02 Dan Xu , Christian Beck

One of the most important problems in modern finance is finding efficient ways to summarize and visualize the stock market data to give individuals or institutions useful information about the market behavior for investment decisions. The…

数据库 · 计算机科学 2013-11-01 Radhakrishnan B , Shineraj G , Anver Muhammed K. M

We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or…

数据分析、统计与概率 · 物理学 2016-08-03 Markus Quade , Markus Abel , Kamran Shafi , Robert K. Niven , Bernd R. Noack

Neuro-symbolic and statistical relational artificial intelligence both integrate frameworks for learning with logical reasoning. This survey identifies several parallels across seven different dimensions between these two fields. These…

人工智能 · 计算机科学 2020-03-25 Luc De Raedt , Sebastijan Dumančić , Robin Manhaeve , Giuseppe Marra

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…

We provide a survey on relational models. Relational models describe complete networked {domains by taking into account global dependencies in the data}. Relational models can lead to more accurate predictions if compared to non-relational…

人工智能 · 计算机科学 2016-09-13 Volker Tresp , Maximilian Nickel

This paper describes a new method for Symbolic Regression that allows to find mathematical expressions from a dataset. This method has a strong mathematical basis. As opposed to other methods such as Genetic Programming, this method is…

机器学习 · 计算机科学 2022-03-22 Daniel Rivero , Enrique Fernandez-Blanco

Neuro-symbolic AI is an effective method for improving the overall performance of AI models by combining the advantages of neural networks and symbolic learning. However, there are differences between the two in terms of how they process…

人工智能 · 计算机科学 2024-11-08 Xin Zhang , Victor S. Sheng

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

机器学习 · 计算机科学 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

Symbolic regression (SR) has emerged as a powerful method for uncovering interpretable mathematical relationships from data, offering a novel route to both scientific discovery and efficient empirical modelling. This article introduces the…

机器学习 · 计算机科学 2026-04-10 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira , Gabriel Kronberger

In the last ten years, the employment of symbolic methods has substantially extended both the theory and the applications of statistics and probability. This survey reviews the development of a symbolic technique arising from classical…

统计理论 · 数学 2015-12-29 Elvira Di Nardo

Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. In this paper, we address this…

Symbolic regression automates the process of learning closed-form mathematical models from data. Standard approaches to symbolic regression, as well as newer deep learning approaches, rely on heuristic model selection criteria, heuristic…

机器学习 · 统计学 2025-07-29 Roger Guimera , Marta Sales-Pardo

This study emphasizes how crucial it is to visualize machine learning models, especially for the banking industry, in order to improve interpretability and support predictions in high stakes financial settings. Visual tools enable…

机器学习 · 计算机科学 2025-02-24 Priyam Ganguly , Ramakrishna Garine , Isha Mukherjee

Machine learning is rapidly making its pathway across all of the natural sciences, including physical sciences. The rate at which ML is impacting non-scientific disciplines is incomparable to that in the physical sciences. This is partly…

机器学习 · 计算机科学 2025-02-26 Nour Makke , Sanjay Chawla

Many machine learning strategies designed to automate mathematical tasks leverage neural networks to search large combinatorial spaces of mathematical symbols. In contrast to traditional evolutionary approaches, using a neural network at…

Relational data representations have become an increasingly important topic due to the recent proliferation of network datasets (e.g., social, biological, information networks) and a corresponding increase in the application of statistical…

机器学习 · 统计学 2012-04-03 Ryan A. Rossi , Luke K. McDowell , David W. Aha , Jennifer Neville

Neural-symbolic methods have demonstrated efficiency in enhancing the reasoning abilities of large language models (LLMs). However, existing methods mainly rely on syntactically mapping natural languages to complete formal languages like…

计算与语言 · 计算机科学 2024-06-04 Yiming Wang , Zhuosheng Zhang , Pei Zhang , Baosong Yang , Rui Wang

We model short-duration (e.g. day) trading in financial markets as a sequential decision-making problem under uncertainty, with the added complication of continual concept-drift. We, therefore, employ meta reinforcement learning via the RL2…

人工智能 · 计算机科学 2023-02-20 S I Harini , Gautam Shroff , Ashwin Srinivasan , Prayushi Faldu , Lovekesh Vig

In this paper a data mining approach for variable selection and knowledge extraction from datasets is presented. The approach is based on unguided symbolic regression (every variable present in the dataset is treated as the target variable…

神经与进化计算 · 计算机科学 2013-09-24 Michael Kommenda , Gabriel Kronberger , Christoph Feilmayr , Michael Affenzeller