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Graph matching involves combinatorial optimization based on edge-to-edge affinity matrix, which can be generally formulated as Lawler's Quadratic Assignment Problem (QAP). This paper presents a QAP network directly learning with the…

Machine Learning · Computer Science 2021-05-07 Runzhong Wang , Junchi Yan , Xiaokang Yang

Existing quantum routing implicitly mimics classical routing principles, with finding the ``best'' path (aka pathfinding), according to a selected routing metric, as a core mechanism for establishing end-to-end entanglement. However,…

Quantum Physics · Physics 2026-01-30 Si-Yi Chen , Angela Sara Cacciapuoti , Marcello Caleffi

Graph Neural Networks (GNNs) are eminently suitable for wireless resource management, thanks to their scalability, but they still face computational challenges in large-scale, dense networks in classical computers. The integration of…

Information Theory · Computer Science 2026-01-27 Le Tung Giang , Nguyen Xuan Tung , Trinh Van Chien , Lajos Hanzo , Won-Joo Hwang

Classical graph algorithms work well for combinatorial problems that can be thoroughly formalized and abstracted. Once the algorithm is derived, it generalizes to instances of any size. However, developing an algorithm that handles complex…

Machine Learning · Computer Science 2022-12-12 Florian Grötschla , Joël Mathys , Roger Wattenhofer

Quantum Generative Adversarial Networks (QGANs) have emerged as a promising direction in quantum machine learning, combining the strengths of quantum computing and adversarial training to enable efficient and expressive generative modeling.…

Quantum Physics · Physics 2025-06-24 Mujahidul Islam , Serkan Turkeli , Fatih Ozaydin

Graph neural networks (GNNs) have been used extensively for addressing problems in drug design and discovery. Both ligand and target molecules are represented as graphs with node and edge features encoding information about atomic elements…

Machine Learning · Computer Science 2021-10-14 Dhananjay Bhaskar , Jackson D. Grady , Michael A. Perlmutter , Smita Krishnaswamy

In the forthcoming years the LHC experiments are going to be upgraded to benefit from the substantial increase of the LHC instantaneous luminosity, which will lead to larger, denser events, and, consequently, greater complexity in…

Quantum Physics · Physics 2026-03-10 Matteo Argenton , Laura Cappelli , Concezio Bozzi

As they carry great potential for modeling complex interactions, graph neural network (GNN)-based methods have been widely used to predict quantum mechanical properties of molecules. Most of the existing methods treat molecules as molecular…

Machine Learning · Computer Science 2020-09-29 Zeren Shui , George Karypis

This paper provides an introduction to quantum machine learning, exploring the potential benefits of using quantum computing principles and algorithms that may improve upon classical machine learning approaches. Quantum computing utilizes…

Quantum Physics · Physics 2024-02-23 Ethan N. Evans , Dominic Byrne , Matthew G. Cook

Node embedding is a key technique for representing graph nodes as vectors while preserving structural and relational properties, which enables machine learning tasks like feature extraction, clustering, and classification. While classical…

Quantum Physics · Physics 2025-03-11 Hristo N. Djidjev

This paper presents a transformative framework for artificial neural networks over graded vector spaces, tailored to model hierarchical and structured data in fields like algebraic geometry and physics. By exploiting the algebraic…

Artificial Intelligence · Computer Science 2026-01-07 Tony Shaska

In recent years, Quantum Computing witnessed massive improvements in terms of available resources and algorithms development. The ability to harness quantum phenomena to solve computational problems is a long-standing dream that has drawn…

Quantum Physics · Physics 2022-02-01 Fabio Valerio Massoli , Lucia Vadicamo , Giuseppe Amato , Fabrizio Falchi

Graph are a ubiquitous data representation, as they represent a flexible and compact representation. For instance, the 3D structure of RNA can be efficiently represented as $\textit{2.5D graphs}$, graphs whose nodes are nucleotides and…

Machine Learning · Computer Science 2021-09-21 Vincent Mallet , Carlos G. Oliver , William L. Hamilton

With the constant increase of the number of quantum bits (qubits) in the actual quantum computers, implementing and accelerating the prevalent deep learning on quantum computers are becoming possible. Along with this trend, there emerge…

Quantum Physics · Physics 2021-11-09 Zhepeng Wang , Zhiding Liang , Shanglin Zhou , Caiwen Ding , Yiyu Shi , Weiwen Jiang

Quantum neural networks (QNNs) leverage quantum entanglement and superposition to enable large-scale parallel linear computation, offering a potential solution to the scalability limits of classical deep learning. However, their practical…

Quantum Physics · Physics 2025-08-05 Pei-Kun Yang

In this paper we propose a new approach to quantum neural networks. Our multi-layer architecture avoids the use of measurements that usually emulate the non-linear activation functions which are characteristic of the classical neural…

Quantum Physics · Physics 2020-11-30 Viet Pham Ngoc , Herbert Wiklicky

We propose a novel variational method for solving the sub-graph isomorphism problem on a gate-based quantum computer. The method relies (1) on a new representation of the adjacency matrices of the underlying graphs, which requires a number…

Quantum Physics · Physics 2022-09-05 Nicola Mariella , Andrea Simonetto

This workshop brought together experts in classical graph theory and quantum information science to explore the intersection of these fields, with a focus on quantum graph states and their applications in computing, networking, and sensing.…

Incorporating inductive biases into ML models is an active area of ML research, especially when ML models are applied to data about the physical world. Equivariant Graph Neural Networks (GNNs) have recently become a popular method for…

Machine Learning · Computer Science 2023-11-07 Savannah Thais , Daniel Murnane

Orthogonal neural networks have recently been introduced as a new type of neural networks imposing orthogonality on the weight matrices. They could achieve higher accuracy and avoid evanescent or explosive gradients for deep architectures.…

Quantum Physics · Physics 2022-12-26 Iordanis Kerenidis , Jonas Landman , Natansh Mathur