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We present very efficient active learning algorithms for link classification in signed networks. Our algorithms are motivated by a stochastic model in which edge labels are obtained through perturbations of a initial sign assignment…

Machine Learning · Computer Science 2013-03-01 Nicolo Cesa-Bianchi , Claudio Gentile , Fabio Vitale , Giovanni Zappella

We design a randomized data structure that, for a fully dynamic graph $G$ updated by edge insertions and deletions and integers $k, d$ fixed upon initialization, maintains the answer to the Split Completion problem: whether one can add $k$…

Data Structures and Algorithms · Computer Science 2024-02-15 Konrad Majewski , Michał Pilipczuk , Anna Zych-Pawlewicz

Dynamic Rank Reinforcement Learning (DR-RL) approximations rely on static rank assumptions, limiting their flexibility across diverse linguistic contexts. Our method dynamically modulates ranks based on real-time sequence dynamics,…

Machine Learning · Computer Science 2026-02-10 Caner Erden

We provide an algorithm that maintains, against an adaptive adversary, a $(1-\varepsilon)$-approximate maximum matching in $n$-node $m$-edge general (not necessarily bipartite) undirected graph undergoing edge deletions with high…

Data Structures and Algorithms · Computer Science 2024-12-05 Jiale Chen , Aaron Sidford , Ta-Wei Tu

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

We give improved algorithms for maintaining edge-orientations of a fully-dynamic graph, such that the out-degree of each vertex is bounded. On one hand, we show how to orient the edges such that the out-degree of each vertex is proportional…

Data Structures and Algorithms · Computer Science 2023-02-16 Aleksander B. G. Christiansen , Jacob Holm , Ivor van der Hoog , Eva Rotenberg , Chris Schwiegelshohn

In the dynamic approximate maximum bipartite matching problem we are given bipartite graph $G$ undergoing updates and our goal is to maintain a matching of $G$ which is large compared the maximum matching size $\mu(G)$. We define a dynamic…

Data Structures and Algorithms · Computer Science 2023-07-13 Joakim Blikstad , Peter Kiss

We study fully dynamic algorithms for maximum matching. This is a well-studied problem, known to admit several update-time/approximation trade-offs. For instance, it is known how to maintain a 1/2-approximate matching in $\log^{O(1)} n$…

Data Structures and Algorithms · Computer Science 2022-11-15 Soheil Behnezhad

Decision Tree (DT) Learning is a fundamental problem in Interpretable Machine Learning, yet it poses a formidable optimisation challenge. Practical algorithms have recently emerged, primarily leveraging Dynamic Programming and Branch &…

Machine Learning · Computer Science 2025-05-13 Ayman Chaouki , Jesse Read , Albert Bifet

We present a novel approach to finding the $k$-sink on dynamic path networks with general edge capacities. Our first algorithm runs in $O(n \log n + k^2 \log^4 n)$ time, where $n$ is the number of vertices on the given path, and our second…

Data Structures and Algorithms · Computer Science 2016-09-07 Binay Bhattacharya , Mordecai J. Golin , Yuya Higashikawa , Tsunehiko Kameda , Naoki Katoh

The dynamic partial sorting problem asks for an algorithm that maintains lists of numbers under the link, cut and change value operations, and queries the sorted sequence of the $k$ least numbers in one of the lists. We first solve the…

Data Structures and Algorithms · Computer Science 2014-04-21 Jiamou Liu , Kostya Ross

Finding $k$-cores in graphs is a valuable and effective strategy for extracting dense regions of otherwise sparse graphs. We focus on the important problem of maintaining cores on rapidly changing dynamic graphs, where batches of edge…

Data Structures and Algorithms · Computer Science 2022-03-25 Kasimir Gabert , Ali Pınar , Ümit V. Çatalyürek

Connectivity query processing is a fundamental problem in graph processing. Given an undirected graph and two query vertices, the problem aims to identify whether they are connected via a path. Given frequent edge updates in real graph…

Databases · Computer Science 2026-01-27 Lantian Xu , Junhua Zhang , Dong Wen , Lu Qin , Ying Zhang , Xuemin Lin

Recent years have witnessed a rapid growth of applying deep spatiotemporal methods in traffic forecasting. However, the prediction of origin-destination (OD) demands is still a challenging problem since the number of OD pairs is usually…

Machine Learning · Computer Science 2022-05-31 Ruixing Zhang , Liangzhe Han , Boyi Liu , Jiayuan Zeng , Leilei Sun

Low-rank training methods reduce the number of trainable parameters by re-parameterizing the weights with matrix decompositions (e.g., singular value decomposition). However, enforcing a fixed low-rank structure caps the rank of the weight…

Machine Learning · Computer Science 2025-10-16 Hyuntak Shin , Aecheon Jung , Sungeun Hong , Sunwoo Lee

We present a deterministic fully-dynamic data structure for maintaining information about the cut-vertices in a graph; i.e. the vertices whose removal would disconnect the graph. Our data structure supports insertion and deletion of edges,…

Data Structures and Algorithms · Computer Science 2025-03-28 Jacob Holm , Wojciech Nadara , Eva Rotenberg , Marek Sokołowski

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

Network embedding, a graph representation learning method illustrating network topology by mapping nodes into lower-dimension vectors, is challenging to accommodate the ever-changing dynamic graphs in practice. Existing research is mainly…

Social and Information Networks · Computer Science 2023-06-16 Haoran Deng , Yang Yang , Jiahe Li , Haoyang Cai , Shiliang Pu , Weihao Jiang

Graph Neural Networks (GNNs) have been widely used for modeling graph-structured data. With the development of numerous GNN variants, recent years have witnessed groundbreaking results in improving the scalability of GNNs to work on static…

Machine Learning · Computer Science 2022-06-06 Yanping Zheng , Hanzhi Wang , Zhewei Wei , Jiajun Liu , Sibo Wang

The integration of Spiking Neural Networks (SNNs) and Graph Neural Networks (GNNs) is gradually attracting attention due to the low power consumption and high efficiency in processing the non-Euclidean data represented by graphs. However,…

Neural and Evolutionary Computing · Computer Science 2025-07-15 Nan Yin , Mengzhu Wang , Zhenghan Chen , Giulia De Masi , Bin Gu , Huan Xiong