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Finding dense subgraphs of a large graph is a standard problem in graph mining that has been studied extensively both for its theoretical richness and its many practical applications. In this paper we introduce a new family of dense…

Data Structures and Algorithms · Computer Science 2021-06-07 Nate Veldt , Austin R. Benson , Jon Kleinberg

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

Signature, lying at the heart of rough path theory, is a central tool for analysing controlled differential equations driven by irregular paths. Recently it has also found extensive applications in machine learning and data science as a…

Machine Learning · Computer Science 2024-09-10 Hang Lou , Siran Li , Hao Ni

Building upon [1], this study aims to introduce fractal geometry into graph theory, and to establish a potential theoretical foundation for complex networks. Specifically, we employ the method of substitution to create and explore…

Dynamical Systems · Mathematics 2024-05-29 Nero Ziyu Li

The ability to correctly classify and retrieve apparel images has a variety of applications important to e-commerce, online advertising and internet search. In this work, we propose a robust framework for fine-grained apparel…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Aniket Bhatnagar , Sanchit Aggarwal

Graph neural networks (GNNs) achieve strong performance on relational data, but real-world graphs are often distributed across organizations that cannot share raw data due to privacy and policy constraints. Existing federated GNN methods…

Machine Learning · Computer Science 2026-05-27 Zhishuai Guo , Wenhan Wu , Chen Chen , Lei Zhang , Olivera Kotevska , Ravi K Madduri

Incomplete node features are ubiquitous in real-world scenarios such as user profiling and cold-start recommendation, which severely hinders the practical deployment of graph learning systems (e.g., GNNs). Existing solutions typically rely…

Machine Learning · Computer Science 2026-04-07 Yifan Song , Fenglin Yu , Yihong Luo , Xingjian Tao , Siya Qiu , Kai Han , Jing Tang

In this work we define a metric structure to compare functions defined on different merge trees. The metric introduced possesses some stability properties, which we illustrate within a standard topological data analysis (TDA) framework, and…

Combinatorics · Mathematics 2025-07-25 Matteo Pegoraro

Building footprint information is an essential ingredient for 3-D reconstruction of urban models. The automatic generation of building footprints from satellite images presents a considerable challenge due to the complexity of building…

Computer Vision and Pattern Recognition · Computer Science 2023-05-09 Yilei Shi , Qinyu Li , Xiaoxiang Zhu

Given an undirected graph and a size parameter $k$, the Densest $k$-Subgraph (D$k$S) problem extracts the subgraph on $k$ vertices with the largest number of induced edges. While D$k$S is NP--hard and difficult to approximate, penalty-based…

Signal Processing · Electrical Eng. & Systems 2025-11-18 Ya Liu , Junbin Liu , Wing-Kin Ma , Aritra Konar

Graph Neural Networks (GNNs) have emerged as powerful tools for analyzing and learning representations from graph-structured data. A crucial prerequisite for the outstanding performance of GNNs is the availability of complete graph…

Machine Learning · Computer Science 2024-08-12 Peng Yuan , Peng Tang

We study the problem of graph structure identification, i.e., of recovering the graph of dependencies among time series. We model these time series data as components of the state of linear stochastic networked dynamical systems. We assume…

Machine Learning · Computer Science 2023-06-29 Sérgio Machado , Anirudh Sridhar , Paulo Gil , Jorge Henriques , José M. F. Moura , Augusto Santos

Dressed people reconstruction from images is a popular task with promising applications in the creative media and game industry. However, most existing methods reconstruct the human body and garments as a whole with the supervision of 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Yue Shi , Yuxuan Xiong , Jingyi Chai , Bingbing Ni , Wenjun Zhang

Streaming applications from algorithmic trading to traffic management deploy Kleene patterns to detect and aggregate arbitrarily-long event sequences, called event trends. State-of-the-art systems process such queries in two steps. Namely,…

Data Structures and Algorithms · Computer Science 2020-10-08 Olga Poppe , Chuan Lei , Elke A. Rundensteiner , David Maier

We analyze the computational complexity of the following computational problems called Bounded-Density Edge Deletion and Bounded-Density Vertex Deletion: Given a graph $G$, a budget $k$ and a target density $\tau_\rho$, are there $k$ edges…

Data Structures and Algorithms · Computer Science 2024-04-15 Cristina Bazgan , André Nichterlein , Sofia Vazquez Alferez

This work presents dyGRASS, an efficient dynamic algorithm for spectral sparsification of large undirected graphs that undergo streaming edge insertions and deletions. At its core, dyGRASS employs a random-walk-based method to efficiently…

Social and Information Networks · Computer Science 2025-09-09 Yihang Yuan , Ali Aghdaei , Zhuo Feng

Many real-world datasets have an underlying dynamic graph structure, where entities and their interactions evolve over time. Machine learning models should consider these dynamics in order to harness their full potential in downstream…

Machine Learning · Computer Science 2024-02-20 Ahmad Naser Eddin , Jacopo Bono , David Aparício , Hugo Ferreira , João Ascensão , Pedro Ribeiro , Pedro Bizarro

In this paper, we consider tree decompositions, branch decompositions, and clique decompositions. We improve the running time of dynamic programming algorithms on these graph decompositions for a large number of problems as a function of…

Data Structures and Algorithms · Computer Science 2018-06-06 Johan M. M. van Rooij , Hans L. Bodlaender , Erik Jan van Leeuwen , Peter Rossmanith , Martin Vatshelle

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

Data scarcity is common in deep learning models for medical image segmentation. Previous works proposed multi-dataset learning, either simultaneously or via transfer learning to expand training sets. However, medical image datasets have…

Image and Video Processing · Electrical Eng. & Systems 2022-11-30 Siyu Liu , Wei Dai , Craig Engstrom , Jurgen Fripp , Stuart Crozier , Jason A. Dowling , Shekhar S. Chandra
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