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The recommendation system is not only a problem of inductive statistics from data but also a cognitive task that requires reasoning ability. The most advanced graph neural networks have been widely used in recommendation systems because…

Artificial Intelligence · Computer Science 2023-07-12 Bang Chen , Wei Peng , Maonian Wu , Bo Zheng , Shaojun Zhu

In a previous article we have shown how one can employ Artificial Neural Networks (ANNs) in order to solve non-homogeneous ordinary and partial differential equations. In the present work we consider the solution of eigenvalue problems for…

Quantum Physics · Physics 2009-10-30 I. E. Lagaris , A. Likas , D. I. Fotiadis

Nielsen transformation is a standard approach for solving word equations: by repeatedly splitting equations and applying simplification steps, equations are rewritten until a solution is reached. When solving a conjunction of word equations…

Artificial Intelligence · Computer Science 2025-07-01 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Julie Cailler , Chencheng Liang , Philipp Rümmer

Graph-structured combinatorial challenges are inherently difficult due to their nonlinear and intricate nature, often rendering traditional computational methods ineffective or expensive. However, these challenges can be more naturally…

Artificial Intelligence · Computer Science 2025-01-22 Jie Zhao , Kang Hao Cheong , Witold Pedrycz

Graph representation learning for hypergraphs can be used to extract patterns among higher-order interactions that are critically important in many real world problems. Current approaches designed for hypergraphs, however, are unable to…

Machine Learning · Computer Science 2019-11-11 Ruochi Zhang , Yuesong Zou , Jian Ma

This paper proposes a machine-learning-based solution approach for solving multi-horizon stochastic programs. The approach embeds a deep learning neural network into a multi-horizon stochastic program to approximate the recourse operational…

Optimization and Control · Mathematics 2025-12-03 Hongyu Zhang , Gabriele Sormani , Enza Messina , Alan King , Francesca Maggioni

We present a learning-based approach to computing solutions for certain NP-hard problems. Our approach combines deep learning techniques with useful algorithmic elements from classic heuristics. The central component is a graph…

Machine Learning · Computer Science 2018-10-26 Zhuwen Li , Qifeng Chen , Vladlen Koltun

Many computational problems are unchanged under some symmetry operation. In classical machine learning, this can be reflected with the layer structure of the neural network. In quantum machine learning, the ansatz can be tuned to correspond…

Text classification is a critical research topic with broad applications in natural language processing. Recently, graph neural networks (GNNs) have received increasing attention in the research community and demonstrated their promising…

Computation and Language · Computer Science 2020-11-03 Kaize Ding , Jianling Wang , Jundong Li , Dingcheng Li , Huan Liu

Recommendation systems predominantly utilize two-tower architectures, which evaluate user-item rankings through the inner product of their respective embeddings. However, one key limitation of two-tower models is that they learn a…

How do computers and intelligent agents view the world around them? Feature extraction and representation constitutes one the basic building blocks towards answering this question. Traditionally, this has been done with carefully engineered…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Jaime Spencer , Richard Bowden , Simon Hadfield

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

Dynamical Systems · Mathematics 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

Neural Algorithmic Reasoning (NAR) trains neural networks to simulate classical algorithms, enabling structured and interpretable reasoning over complex data. While prior research has predominantly focused on learning exact algorithms for…

Machine Learning · Computer Science 2025-06-02 Yu He , Ellen Vitercik

Graph Neural Networks (GNNs) excel at relational reasoning but face two persistent challenges: the lack of interpretable attribution for heterogeneous node types, and the computational overhead of message passing over large, noisy graphs.…

Machine Learning · Computer Science 2026-05-12 Seungwoo Kum

Recent advances in machine learning have demonstrated an enormous utility of deep learning approaches, particularly Graph Neural Networks (GNNs) for materials science. These methods have emerged as powerful tools for high-throughput…

Computational Physics · Physics 2025-05-23 Junchi Liu , Ying Tang , Sergei Tretiak , Wenhui Duan , Liujiang Zhou

The difficult problem of relating the static structure of glassy liquids and their dynamics is a good target for Machine Learning, an approach which excels at finding complex patterns hidden in data. Indeed, this approach is currently a hot…

Soft Condensed Matter · Physics 2024-05-29 Francesco Saverio Pezzicoli , Guillaume Charpiat , François P. Landes

The present phase of Machine Learning is characterized by supervised learning algorithms relying on large sets of labeled examples ($n \to \infty$). The next phase is likely to focus on algorithms capable of learning from very few labeled…

Computer Vision and Pattern Recognition · Computer Science 2014-03-12 Fabio Anselmi , Joel Z. Leibo , Lorenzo Rosasco , Jim Mutch , Andrea Tacchetti , Tomaso Poggio

Rapid progress has been made towards question answering (QA) systems that can extract answers from text. Existing neural approaches make use of expensive bi-directional attention mechanisms or score all possible answer spans, limiting…

Computation and Language · Computer Science 2017-09-12 Jonathan Raiman , John Miller

Machine learning on graphs, especially using graph neural networks (GNNs), has seen a surge in interest due to the wide availability of graph data across a broad spectrum of disciplines, from life to social and engineering sciences. Despite…

Iterative solvers are widely used to accurately simulate physical systems. These solvers require initial guesses to generate a sequence of improving approximate solutions. In this contribution, we introduce a novel method to accelerate…

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