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We introduce an approach for imposing physically motivated inductive biases on graph networks to learn interpretable representations and improved zero-shot generalization. Our experiments show that our graph network models, which implement…

机器学习 · 计算机科学 2019-11-04 Miles D. Cranmer , Rui Xu , Peter Battaglia , Shirley Ho

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

动力系统 · 数学 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

机器学习 · 计算机科学 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

In this work, we aim to leverage prior symbolic knowledge to improve the performance of deep models. We propose a graph embedding network that projects propositional formulae (and assignments) onto a manifold via an augmented Graph…

人工智能 · 计算机科学 2019-10-30 Yaqi Xie , Ziwei Xu , Mohan S. Kankanhalli , Kuldeep S. Meel , Harold Soh

Benefiting from the injection of human prior knowledge, graphs, as derived discrete data, are semantically dense so that models can efficiently learn the semantic information from such data. Accordingly, graph neural networks (GNNs) indeed…

机器学习 · 计算机科学 2023-05-25 Hang Gao , Jiangmeng Li , Wenwen Qiang , Lingyu Si , Xingzhe Su , Fengge Wu , Changwen Zheng , Fuchun Sun

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…

机器学习 · 计算机科学 2022-03-10 Samuel Kim , Peter Y. Lu , Srijon Mukherjee , Michael Gilbert , Li Jing , Vladimir Čeperić , Marin Soljačić

Graph Neural Networks (GNNs) are widely used deep learning models that learn meaningful representations from graph-structured data. Due to the finite nature of the underlying recurrent structure, current GNN methods may struggle to capture…

机器学习 · 计算机科学 2021-06-02 Fangda Gu , Heng Chang , Wenwu Zhu , Somayeh Sojoudi , Laurent El Ghaoui

Endowing robots with human-like physical reasoning abilities remains challenging. We argue that existing methods often disregard spatio-temporal relations and by using Graph Neural Networks (GNNs) that incorporate a relational inductive…

机器学习 · 计算机科学 2019-10-24 Fabio Ferreira , Lin Shao , Tamim Asfour , Jeannette Bohg

Graph representation learning has attracted much attention in supporting high quality candidate search at scale. Despite its effectiveness in learning embedding vectors for objects in the user-item interaction network, the computational…

信息检索 · 计算机科学 2020-03-05 Qiaoyu Tan , Ninghao Liu , Xing Zhao , Hongxia Yang , Jingren Zhou , Xia Hu

The significance of learning constraints from data is underscored by its potential applications in real-world problem-solving. While constraints are popular for modeling and solving, the approaches to learning constraints from data remain…

机器学习 · 计算机科学 2024-03-05 Eduardo Vyhmeister , Rocio Paez , Gabriel Gonzalez

Symbolic regression is a technique that can automatically derive analytic models from data. Traditionally, symbolic regression has been implemented primarily through genetic programming that evolves populations of candidate solutions…

神经与进化计算 · 计算机科学 2025-04-24 Jiří Kubalík , Robert Babuška

Neural-symbolic computing has now become the subject of interest of both academic and industry research laboratories. Graph Neural Networks (GNN) have been widely used in relational and symbolic domains, with widespread application of GNNs…

人工智能 · 计算机科学 2021-06-15 Luis C. Lamb , Artur Garcez , Marco Gori , Marcelo Prates , Pedro Avelar , Moshe Vardi

Discovering governing equations of complex network dynamics is a fundamental challenge in contemporary science with rich data, which can uncover the mysterious patterns and mechanisms of the formation and evolution of complex phenomena in…

人工智能 · 计算机科学 2024-11-12 Jiao Hu , Jiaxu Cui , Bo Yang

People can learn rich, general-purpose conceptual representations from only raw perceptual inputs. Current machine learning approaches fall well short of these human standards, although different modeling traditions often have complementary…

人工智能 · 计算机科学 2021-01-26 Reuben Feinman , Brenden M. Lake

Reconciling symbolic and distributed representations is a crucial challenge that can potentially resolve the limitations of current deep learning. Remarkable advances in this direction have been achieved recently via generative…

机器学习 · 计算机科学 2021-02-09 Jindong Jiang , Sungjin Ahn

Graph Convolutional Neural Networks (GCNs) has been generally accepted to be an effective tool for node representations learning. An interesting way to understand GCNs is to think of them as a message passing mechanism where each node…

机器学习 · 计算机科学 2022-10-04 Wei Duan , Junyu Xuan , Maoying Qiao , Jie Lu

Sequences and time-series often arise in robot tasks, e.g., in activity recognition and imitation learning. In recent years, deep neural networks (DNNs) have emerged as an effective data-driven methodology for processing sequences given…

人工智能 · 计算机科学 2021-01-29 Yaqi Xie , Fan Zhou , Harold Soh

When engaging in end-to-end graph representation learning with Graph Neural Networks (GNNs), the intricate causal relationships and rules inherent in graph data pose a formidable challenge for the model in accurately capturing authentic…

机器学习 · 计算机科学 2024-06-14 Hang Gao , Peng Qiao , Yifan Jin , Fengge Wu , Jiangmeng Li , Changwen Zheng

When neural networks are used to solve differential equations, they usually produce solutions in the form of black-box functions that are not directly mathematically interpretable. We introduce a method for generating symbolic expressions…

机器学习 · 计算机科学 2020-11-05 Maysum Panju , Ali Ghodsi

Recent work on neuro-symbolic inductive logic programming has led to promising approaches that can learn explanatory rules from noisy, real-world data. While some proposals approximate logical operators with differentiable operators from…

人工智能 · 计算机科学 2021-12-08 Prithviraj Sen , Breno W. S. R. de Carvalho , Ryan Riegel , Alexander Gray
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