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Implicit neural networks have become increasingly attractive in the machine learning community since they can achieve competitive performance but use much less computational resources. Recently, a line of theoretical works established the…

Machine Learning · Computer Science 2022-10-03 Tianxiang Gao , Hongyang Gao

Graph neural network (GNN) is effective to model graphs for distributed representations of nodes and an entire graph. Recently, research on the expressive power of GNN attracted growing attention. A highly-expressive GNN has the ability to…

Machine Learning · Computer Science 2022-03-01 Chengsheng Mao , Yuan Luo

Graph neural networks (GNNs) are widely used in domains like social networks and biological systems. However, the locality assumption of GNNs, which limits information exchange to neighboring nodes, hampers their ability to capture…

Machine Learning · Computer Science 2023-07-04 Tingting Dan , Jiaqi Ding , Ziquan Wei , Shahar Z Kovalsky , Minjeong Kim , Won Hwa Kim , Guorong Wu

This paper presents a novel generative model to synthesize fluid simulations from a set of reduced parameters. A convolutional neural network is trained on a collection of discrete, parameterizable fluid simulation velocity fields. Due to…

Machine Learning · Computer Science 2019-09-05 Byungsoo Kim , Vinicius C. Azevedo , Nils Thuerey , Theodore Kim , Markus Gross , Barbara Solenthaler

This work studies the global convergence and implicit bias of Gauss Newton's (GN) when optimizing over-parameterized one-hidden layer networks in the mean-field regime. We first establish a global convergence result for GN in the…

Machine Learning · Computer Science 2023-12-13 Michael Arbel , Romain Menegaux , Pierre Wolinski

Graph Neural Networks (GNNs) often perform better for high-degree nodes than low-degree nodes on node classification tasks. This degree bias can reinforce social marginalization by, e.g., privileging celebrities and other high-degree actors…

Machine Learning · Computer Science 2024-11-04 Arjun Subramonian , Jian Kang , Yizhou Sun

Graph neural networks (GNNs) have emerged as a powerful model to capture critical graph patterns. Instead of treating them as black boxes in an end-to-end fashion, attempts are arising to explain the model behavior. Existing works mainly…

Machine Learning · Computer Science 2024-02-22 Yi Nian , Yurui Chang , Wei Jin , Lu Lin

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…

Machine Learning · Computer Science 2021-06-02 Fangda Gu , Heng Chang , Wenwu Zhu , Somayeh Sojoudi , Laurent El Ghaoui

Graph Neural Networks (GNNs) are a promising deep learning approach for circumventing many real-world problems on graph-structured data. However, these models usually have at least one of four fundamental limitations: over-smoothing,…

Machine Learning · Computer Science 2022-10-03 Xun Liu , Alex Hay-Man Ng , Fangyuan Lei , Yikuan Zhang , Zhengmin Li

Active researches are currently being performed to incorporate the wealth of scientific knowledge into data-driven approaches (e.g., neural networks) in order to improve the latter's effectiveness. In this study, the Theory-guided Neural…

Machine Learning · Computer Science 2020-03-03 Nanzhe Wang , Dongxiao Zhang , Haibin Chang , Heng Li

Unitary Synthesis, the decomposition of a unitary matrix into a sequence of quantum gates, is a fundamental challenge in quantum compilation. Prevailing reinforcement learning (RL) approaches are often hampered by sparse reward signals,…

Quantum Physics · Physics 2026-03-05 Inhoe Koo , Hyunho Cha , Jungwoo Lee

Even when massively overparameterized, deep neural networks show a remarkable ability to generalize. Research on this phenomenon has focused on generalization within distribution, via smooth interpolation. Yet in some settings neural…

Machine Learning · Computer Science 2025-08-07 Loek van Rossem , Andrew M. Saxe

Graph neural networks (GNNs) are naturally distributed architectures for learning representations from network data. This renders them suitable candidates for decentralized tasks. In these scenarios, the underlying graph often changes with…

Machine Learning · Computer Science 2022-08-31 Zhan Gao , Fernando Gama , Alejandro Ribeiro

The predominant success of diffusion models in generative modeling has spurred significant interest in understanding their theoretical foundations. In this work, we propose a feature learning framework aimed at analyzing and comparing the…

Machine Learning · Statistics 2025-03-04 Andi Han , Wei Huang , Yuan Cao , Difan Zou

Graph Neural Networks (GNNs) have achieved notable success in learning from graph-structured data, owing to their ability to capture intricate dependencies and relationships between nodes. They excel in various applications, including…

Machine Learning · Computer Science 2023-11-29 Akansha A

In this work, we consider the radio resource allocation problem in a wireless system with various integrated functionalities, such as communication, sensing and computing. We design suitable resource management techniques that can…

Machine Learning · Computer Science 2025-05-09 Charbel Bou Chaaya , Mehdi Bennis

A neural network deployed in the wild may be asked to make predictions for inputs that were drawn from a different distribution than that of the training data. A plethora of work has demonstrated that it is easy to find or synthesize inputs…

Machine Learning · Statistics 2019-02-26 Eric Nalisnick , Akihiro Matsukawa , Yee Whye Teh , Dilan Gorur , Balaji Lakshminarayanan

Message-passing graph neural networks (MPNNs) have emerged as the leading approach for machine learning on graphs, attracting significant attention in recent years. While a large set of works explored the expressivity of MPNNs, i.e., their…

Machine Learning · Computer Science 2025-03-21 Antonis Vasileiou , Stefanie Jegelka , Ron Levie , Christopher Morris

As deep neural networks (DNNs) achieve tremendous success across many application domains, researchers tried to explore in many aspects on why they generalize well. In this paper, we provide a novel perspective on these issues using the…

Machine Learning · Computer Science 2020-02-25 Jinlong Liu , Guoqing Jiang , Yunzhi Bai , Ting Chen , Huayan Wang

Causal discovery from observational data is challenging, especially with large datasets and complex relationships. Traditional methods often struggle with scalability and capturing global structural information. To overcome these…

Machine Learning · Computer Science 2025-07-29 Rezaur Rashid , Gabriel Terejanu