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Hierarchical embedding constraints define a set of allowed cyclic orders for the edges incident to the vertices of a graph. These constraints are expressed in terms of FPQ-trees. FPQ-trees are a variant of PQ-trees that includes F-nodes in…

Data Structures and Algorithms · Computer Science 2019-11-19 Giuseppe Liotta , Ignaz Rutter , Alessandra Tappini

Graph compression is a data analysis technique that consists in the replacement of parts of a graph by more general structural patterns in order to reduce its description length. It notably provides interesting exploration tools for the…

Data Structures and Algorithms · Computer Science 2018-07-19 Robin Lamarche-Perrin

Graph contrastive learning (GCL) has recently emerged as a new concept which allows for capitalizing on the strengths of graph neural networks (GNNs) to learn rich representations in a wide variety of applications which involve abundant…

Machine Learning · Computer Science 2024-06-26 Yuzhou Chen , Jose Frias , Yulia R. Gel

The bipartite graph structure has shown its promising ability in facilitating the subspace clustering and spectral clustering algorithms for large-scale datasets. To avoid the post-processing via k-means during the bipartite graph…

Machine Learning · Computer Science 2023-05-15 Si-Guo Fang , Dong Huang , Chang-Dong Wang , Jian-Huang Lai

We investigate the parameterized complexity of Bayesian Network Structure Learning (BNSL), a classical problem that has received significant attention in empirical but also purely theoretical studies. We follow up on previous works that…

Data Structures and Algorithms · Computer Science 2026-02-12 Robert Ganian , Viktoriia Korchemna

Fragment-based shape signature techniques have proven to be powerful tools for computer-aided drug design. They allow scientists to search for target molecules with some similarity to a known active compound. They do not require reference…

Artificial Intelligence · Computer Science 2022-01-05 Thierry Petit , Randy J. Zauhar

This study introduces the Multi-Scale Weight-Based Pairwise Coarsening and Contrastive Learning (MPCCL) model, a novel approach for attributed graph clustering that effectively bridges critical gaps in existing methods, including long-range…

Machine Learning · Computer Science 2025-07-29 Binxiong Li , Yuefei Wang , Binyu Zhao , Heyang Gao , Benhan Yang , Quanzhou Luo , Xue Li , Xu Xiang , Yujie Liu , Huijie Tang

Graph structured data has wide applicability in various domains such as physics, chemistry, biology, computer vision, and social networks, to name a few. Recently, graph neural networks (GNN) were shown to be successful in effectively…

Machine Learning · Computer Science 2020-09-29 Qiang Huang , Makoto Yamada , Yuan Tian , Dinesh Singh , Dawei Yin , Yi Chang

The Massively Parallel Computation (MPC) model serves as a common abstraction of many modern large-scale data processing frameworks, and has been receiving increasingly more attention over the past few years, especially in the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-08 Danupon Nanongkai , Michele Scquizzato

Recent work in theoretical computer science and scientific computing has focused on nearly-linear-time algorithms for solving systems of linear equations. While introducing several novel theoretical perspectives, this work has yet to lead…

Numerical Analysis · Computer Science 2010-05-19 Petros Drineas , Michael W. Mahoney

In this paper, we introduce a novel concept for learning of the parameters in a neural network. Our idea is grounded on modeling a learning problem that addresses a trade-off between (i) satisfying local objectives at each node and (ii)…

Machine Learning · Computer Science 2019-02-04 Dimche Kostadinov , Behrooz Razdehi , Slava Voloshynovskiy

In this paper we present a finite element method for the direct transcription of constrained non-linear optimal control problems. We prove that our method converges of high order under mild assumptions. Our analysis uses a regularized…

Numerical Analysis · Mathematics 2017-12-22 Martin Peter Neuenhofen

Contrastive learning (CL) has recently been demonstrated critical in improving recommendation performance. The underlying principle of CL-based recommendation models is to ensure the consistency between representations derived from…

Information Retrieval · Computer Science 2023-06-21 Junliang Yu , Xin Xia , Tong Chen , Lizhen Cui , Nguyen Quoc Viet Hung , Hongzhi Yin

Tree-width has been proven to be a useful parameter to design fast and efficient algorithms for intractable problems. However, while tree-width is low on relatively sparse graphs can be arbitrary high on dense graphs. Therefore, we…

Data Structures and Algorithms · Computer Science 2021-11-04 Chris Aronis

We present a deterministic way of assigning small (log bit) weights to the edges of a bipartite planar graph so that the minimum weight perfect matching becomes unique. The isolation lemma as described in (Mulmuley et al. 1987) achieves the…

Data Structures and Algorithms · Computer Science 2008-02-21 Samir Datta , Raghav Kulkarni , Sambuddha Roy

We study the well-established problem of finding an optimal routing of unsplittable flows in a graph. While by now there is an extensive body of work targeting the problem on graph classes such as paths and trees, we aim at using the…

Data Structures and Algorithms · Computer Science 2024-10-23 Robert Ganian , Mathis Rocton , Daniel Unterberger

Let XNLP be the class of parameterized problems such that an instance of size n with parameter k can be solved nondeterministically in time $f(k)n^{O(1)}$ and space $f(k)\log(n)$ (for some computable function f). We give a wide variety of…

Computational Complexity · Computer Science 2023-10-24 Hans L. Bodlaender , Carla Groenland , Jesper Nederlof , Céline M. F. Swennenhuis

We propose a method for setting limits that avoids excluding parameter values for which the sensitivity falls below a specified threshold. These "power-constrained" limits (PCL) address the issue that motivated the widely used CLs…

Data Analysis, Statistics and Probability · Physics 2011-05-17 Glen Cowan , Kyle Cranmer , Eilam Gross , Ofer Vitells

Neural networks have proven practical for a synergistic combination of advanced control techniques. This work analyzes the implementation of rectified linear unit neural networks to achieve constrained control in differentially flat…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Huu-Thinh Do , Ionela Prodan , Florin Stoican

In recent years, graph neural networks (GNN) have achieved significant developments in a variety of graph analytical tasks. Nevertheless, GNN's superior performance will suffer from serious damage when the collected node features or…

Machine Learning · Computer Science 2023-09-07 Sichao Fu , Qinmu Peng , Yang He , Baokun Du , Xinge You