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The techniques and analysis presented in this thesis provide new methods to solve optimization problems posed on Riemannian manifolds. These methods are applied to the subspace tracking problem found in adaptive signal processing and…

Optimization and Control · Mathematics 2013-05-09 Steven Thomas Smith

An embedding is a mapping from a set of nodes of a network into a real vector space. Embeddings can have various aims like capturing the underlying graph topology and structure, node-to-node relationship, or other relevant information about…

Machine Learning · Computer Science 2023-06-21 Ashkan Dehghan , Kinga Siuta , Agata Skorupka , Andrei Betlen , David Miller , Bogumil Kaminski , Pawel Pralat

We propose a promising neural network model with which to acquire a grounded representation of robot actions and the linguistic descriptions thereof. Properly responding to various linguistic expressions, including polysemous words, is an…

Robotics · Computer Science 2021-04-20 Minori Toyoda , Kanata Suzuki , Hiroki Mori , Yoshihiko Hayashi , Tetsuya Ogata

A fundamental task in data exploration is to extract simplified low dimensional representations that capture intrinsic geometry in data, especially for faithfully visualizing data in two or three dimensions. Common approaches to this task…

Machine Learning · Statistics 2021-07-30 Andrés F. Duque , Sacha Morin , Guy Wolf , Kevin R. Moon

The graph matching problem is a significant special case of the Quadratic Assignment Problem, with extensive applications in pattern recognition, computer vision, protein alignments and related fields. As the problem is NP-hard, relaxation…

Optimization and Control · Mathematics 2025-04-01 Rongxuan Li

Graph data often exhibits complex geometric heterogeneity, where structures with varying local curvature, such as tree-like hierarchies and dense communities, coexist within a single network. Existing geometric GNNs, which embed graphs into…

Machine Learning · Computer Science 2026-01-21 Xudong Wang , Chris Ding , Tongxin Li , Jicong Fan

Studies continually find that message-passing graph convolutional networks suffer from the over-smoothing issue. Basically, the issue of over-smoothing refers to the phenomenon that the learned embeddings for all nodes can become very…

Machine Learning · Computer Science 2024-04-16 Haimin Zhang , Min Xu

Contextual adaptation in token embeddings plays a central role in determining how well language models maintain coherence and retain semantic relationships over extended text sequences. Static embeddings often impose constraints on lexical…

Computation and Language · Computer Science 2025-03-27 Koinis Vassilis , Godfrey Milbourne , Harriet Featherstone , Xanthe Peverell , Yorick Bletchley , Zachary Montford

In this work, we develop new generalization bounds for neural networks trained on data supported on Riemannian manifolds. Existing generalization theories often rely on complexity measures derived from Euclidean geometry, which fail to…

Machine Learning · Computer Science 2025-07-08 Krisanu Sarkar

To develop a preliminary understanding towards Graph Foundation Models, we study the extent to which pretrained Graph Neural Networks can be applied across datasets, an effort requiring to be agnostic to dataset-specific features and their…

Given the increase of publications, search for relevant papers becomes tedious. In particular, search across disciplines or schools of thinking is not supported. This is mainly due to the retrieval with keyword queries: technical terms…

Information Retrieval · Computer Science 2022-09-02 Lukas Pfahler , Katharina Morik

Pre-trained sentence representations are crucial for identifying significant sentences in unsupervised document extractive summarization. However, the traditional two-step paradigm of pre-training and sentence-ranking, creates a gap due to…

Computation and Language · Computer Science 2023-10-31 Qianren Mao , Shaobo Zhao , Jiarui Li , Xiaolei Gu , Shizhu He , Bo Li , Jianxin Li

Graph Neural Networks (GNNs) are powerful deep learning methods for Non-Euclidean data. Popular GNNs are message-passing algorithms (MPNNs) that aggregate and combine signals in a local graph neighborhood. However, shallow MPNNs tend to…

Machine Learning · Statistics 2022-11-08 Ningyuan Huang , Soledad Villar , Carey E. Priebe , Da Zheng , Chengyue Huang , Lin Yang , Vladimir Braverman

Underpinning the success of deep learning is effective regularizations that allow a variety of priors in data to be modeled. For example, robustness to adversarial perturbations, and correlations between multiple modalities. However, most…

Machine Learning · Computer Science 2020-06-16 Mao Li , Yingyi Ma , Xinhua Zhang

Graph alignment, the problem of identifying corresponding nodes across multiple graphs, is fundamental to numerous applications. Most existing unsupervised methods embed node features into latent representations to enable cross-graph…

Machine Learning · Computer Science 2025-09-30 Maysam Behmanesh , Erkan Turan , Maks Ovsjanikov

Supervised fine-tuning (SFT) on domain-specific data is the dominant approach for adapting foundation models to specialized tasks. However, it has been observed that SFT models tend to forget knowledge acquired during pretraining. In vision…

Artificial Intelligence · Computer Science 2025-06-03 Yifan Hao , Xingyuan Pan , Hanning Zhang , Chenlu Ye , Rui Pan , Tong Zhang

In the last few years, neural networks have been intensively used to develop meaningful distributed representations of words and contexts around them. When these representations, also known as "embeddings", are learned from unsupervised…

Computation and Language · Computer Science 2019-08-07 Giuseppe Marra , Andrea Zugarini , Stefano Melacci , Marco Maggini

In this paper, we propose a supervised dictionary learning algorithm that aims to preserve the local geometry in both dimensions of the data. A graph-based regularization explicitly takes into account the local manifold structure of the…

Machine Learning · Computer Science 2018-06-15 Yael Yankelevsky , Michael Elad

Unsupervised attributed graph representation learning is challenging since both structural and feature information are required to be represented in the latent space. Existing methods concentrate on learning latent representation via…

Machine Learning · Computer Science 2021-04-28 Zelin Zang , Siyuan Li , Di Wu , Jianzhu Guo , Yongjie Xu , Stan Z. Li

In this paper, we explore a novel model reusing task tailored for graph neural networks (GNNs), termed as "deep graph reprogramming". We strive to reprogram a pre-trained GNN, without amending raw node features nor model parameters, to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Yongcheng Jing , Chongbin Yuan , Li Ju , Yiding Yang , Xinchao Wang , Dacheng Tao
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