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We propose an automatable data-driven methodology for robust nonlinear reduced-order modelling from time-resolved snapshot data. In the kinematical coarse-graining, the snapshots are clustered into few centroids representable for the whole…

Fluid Dynamics · Physics 2020-12-02 Hao Li , Daniel Fernex , Richard Semaan , Jianguo Tan , Marek Morzyński , Bernd R. Noack

We propose an efficient framework for amortized conditional inference by leveraging exact conditional score-guided diffusion models to train a non-reversible neural network as a conditional generative model. Traditional normalizing flow…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Zezhong Zhang , Caroline Tatsuoka , Dongbin Xiu , Guannan Zhang

Graph clustering aims to divide the graph into different clusters. The recently emerging deep graph clustering approaches are largely built on graph neural networks (GNN). However, GNN is designed for general graph encoding and there is a…

Machine Learning · Computer Science 2025-04-28 Zhiyuan Ning , Zaitian Wang , Ran Zhang , Ping Xu , Kunpeng Liu , Pengyang Wang , Wei Ju , Pengfei Wang , Yuanchun Zhou , Erik Cambria , Chong Chen

We introduce Neural Conditional Probability (NCP), an operator-theoretic approach to learning conditional distributions with a focus on statistical inference tasks. NCP can be used to build conditional confidence regions and extract key…

Machine Learning · Computer Science 2025-06-03 Vladimir R. Kostic , Karim Lounici , Gregoire Pacreau , Pietro Novelli , Giacomo Turri , Massimiliano Pontil

Real-world data is frequently noisy and ambiguous. In crowdsourcing, for example, human annotators may assign conflicting class labels to the same instances. Partial-label learning (PLL) addresses this challenge by training classifiers when…

Machine Learning · Computer Science 2026-01-12 Tobias Fuchs , Nadja Klein

This paper studies clustering algorithms for dynamically evolving graphs $\{G_t\}$, in which new edges (and potential new vertices) are added into a graph, and the underlying cluster structure of the graph can gradually change. The paper…

Data Structures and Algorithms · Computer Science 2024-06-06 Steinar Laenen , He Sun

The combination of the traditional convolutional network (i.e., an auto-encoder) and the graph convolutional network has attracted much attention in clustering, in which the auto-encoder extracts the node attribute feature and the graph…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Zhihao Peng , Hui Liu , Yuheng Jia , Junhui Hou

Attributed graph clustering is challenging as it requires joint modelling of graph structures and node attributes. Recent progress on graph convolutional networks has proved that graph convolution is effective in combining structural and…

Machine Learning · Computer Science 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

In unsupervised feature learning, sample specificity based methods ignore the inter-class information, which deteriorates the discriminative capability of representation models. Clustering based methods are error-prone to explore the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Yifei Zhang , Chang Liu , Yu Zhou , Wei Wang , Weiping Wang , Qixiang Ye

Federated learning is generally used in tasks where labels are readily available (e.g., next word prediction). Relaxing this constraint requires design of unsupervised learning techniques that can support desirable properties for federated…

Machine Learning · Computer Science 2022-06-14 Ekdeep Singh Lubana , Chi Ian Tang , Fahim Kawsar , Robert P. Dick , Akhil Mathur

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

Graph-based clustering methods have demonstrated the effectiveness in various applications. Generally, existing graph-based clustering methods first construct a graph to represent the input data and then partition it to generate the…

Machine Learning · Computer Science 2019-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong

We introduce Flux Matching, a new paradigm for generative modeling that generalizes existing score-based models to a broader family of vector fields that need not be conservative. Rather than requiring the model to equal the data score, the…

Machine Learning · Computer Science 2026-05-11 Peter Pao-Huang , Xiaojie Qiu , Stefano Ermon

Graph Convolutional Networks (GCNs) have shown to be effective in handling unordered data like point clouds and meshes. In this work we propose novel approaches for graph convolution, pooling and unpooling, inspired from finite differences…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Moshe Eliasof , Eran Treister

Neural processes amortize Gaussian process inference, replacing the exact $O(n^3)$ posterior with a learned $O(n)$ map from context sets to predictive distributions. For a class of latent neural processes, we bound the Kullback--Leibler…

Machine Learning · Computer Science 2026-05-22 Robin Young

This paper describes a graph clustering algorithm that aims to minimize the normalized cut criterion and has a model order selection procedure. The performance of the proposed algorithm is comparable to spectral approaches in terms of…

Artificial Intelligence · Computer Science 2011-05-06 Seyed Salim Tabatabaei , Mark Coates , Michael Rabbat

Flow-based generative models have demonstrated promising performance across a broad spectrum of data modalities (e.g., image and text). However, there are few works exploring their extension to unordered data (e.g., spatial point set),…

Machine Learning · Computer Science 2025-06-05 Yangming Li , Chaoyu Liu , Carola-Bibiane Schönlieb

Generative Flow Networks (GFlowNets or GFNs) are probabilistic models predicated on Markov flows, and they employ specific amortization algorithms to learn stochastic policies that generate compositional substances including biomolecules,…

Machine Learning · Computer Science 2025-03-21 Shuai Guo , Jielei Chu , Lin Ma , Zhaoyu Li , Tianrui Li

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

Machine Learning · Computer Science 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

Recent work on deep clustering has found new promising methods also for constrained clustering problems. Their typically pairwise constraints often can be used to guide the partitioning of the data. Many problems however, feature…

Machine Learning · Computer Science 2023-05-22 Jonas K. Falkner , Lars Schmidt-Thieme
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