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Capturing the composition patterns of relations is a vital task in knowledge graph completion. It also serves as a fundamental step towards multi-hop reasoning over learned knowledge. Previously, several rotation-based translational methods…

Artificial Intelligence · Computer Science 2022-01-12 Haonan Lu , Hailin Hu , Xiaodong Lin

Graph theory provides fundamental concepts for many fields of science like statistical physics, network analysis and theoretical computer science. Here we give a pedagogical introduction to graph theory, divided into three sections. In the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander K. Hartmann , Martin Weigt

Denoising-based models, including diffusion and flow matching, have led to substantial advances in graph generation. Despite this progress, such models remain constrained by two fundamental limitations: a computational cost that scales…

Machine Learning · Computer Science 2026-04-02 Yoann Boget , Pablo Strasser , Alexandros Kalousis

Most existing popular methods for learning graph embedding only consider fixed-order global structural features and lack structures hierarchical representation. To address this weakness, we propose a novel graph embedding algorithm named…

Machine Learning · Computer Science 2021-02-03 Xue Liu , Wei Wei , Xiangnan Feng , Xiaobo Cao , Dan Sun

Many real-world video-text tasks involve different levels of granularity, such as frames and words, clip and sentences or videos and paragraphs, each with distinct semantics. In this paper, we propose a Cooperative hierarchical Transformer…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Simon Ging , Mohammadreza Zolfaghari , Hamed Pirsiavash , Thomas Brox

Short text classification is a fundamental task in natural language processing. It is hard due to the lack of context information and labeled data in practice. In this paper, we propose a new method called SHINE, which is based on graph…

Computation and Language · Computer Science 2021-11-02 Yaqing Wang , Song Wang , Quanming Yao , Dejing Dou

In this paper, we study the ideas of composition and decomposition in the context of vector spaces, graphs and matroids. For vector spaces $\V_{AB},$ treated as collection of row vectors, with specified column set $A\uplus B,$ we define…

Combinatorics · Mathematics 2023-07-17 H. Narayanan

The aim of this paper is to introduce a novel dictionary learning algorithm for sparse representation of signals defined over combinatorial topological spaces, specifically, regular cell complexes. Leveraging Hodge theory, we embed topology…

Signal Processing · Electrical Eng. & Systems 2025-03-17 Enrico Grimaldi , Claudio Battiloro , Paolo Di Lorenzo

Learning the unique directed acyclic graph corresponding to an unknown causal model is a challenging task. Methods based on functional causal models can identify a unique graph, but either suffer from the curse of dimensionality or impose…

Machine Learning · Computer Science 2025-01-14 Sujai Hiremath , Jacqueline R. M. A. Maasch , Mengxiao Gao , Promit Ghosal , Kyra Gan

This paper proposes a learning strategy that extracts object-part concepts from a pre-trained convolutional neural network (CNN), in an attempt to 1) explore explicit semantics hidden in CNN units and 2) gradually grow a semantically…

Computer Vision and Pattern Recognition · Computer Science 2017-03-14 Quanshi Zhang , Ruiming Cao , Ying Nian Wu , Song-Chun Zhu

In this paper we present a theoretical analysis of graph-based service composition in terms of its dependency with service discovery. Driven by this analysis we define a composition framework by means of integration with fine-grained I/O…

Artificial Intelligence · Computer Science 2015-02-11 Pablo Rodriguez-Mier , Carlos Pedrinaci , Manuel Lama , Manuel Mucientes

In the constraint programming framework, state-of-the-art static and dynamic decomposition techniques are hard to apply to problems with complete initial constraint graphs. For such problems, we propose a hybrid approach of these techniques…

Computational Complexity · Computer Science 2008-12-18 Stephane Zampelli , Martin Mann , Yves Deville , Rolf Backofen

Scene graphs provide valuable information to many downstream tasks. Many scene graph generation (SGG) models solely use the limited annotated relation triples for training, leading to their underperformance on low-shot (few and zero)…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Tao He , Lianli Gao , Jingkuan Song , Jianfei Cai , Yuan-Fang Li

Learning compositional representation is a key aspect of object-centric learning as it enables flexible systematic generalization and supports complex visual reasoning. However, most of the existing approaches rely on auto-encoding…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Whie Jung , Jaehoon Yoo , Sungjin Ahn , Seunghoon Hong

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

The paper proposes a novel technique for representing templates and instances of concept classes. A template representation refers to the generic representation that captures the characteristics of an entire class. The proposed technique…

Machine Learning · Computer Science 2020-07-08 Graham Spinks , Marie-Francine Moens

Learning to fuse vision and language information and representing them is an important research problem with many applications. Recent progresses have leveraged the ideas of pre-training (from language modeling) and attention layers in…

Computer Vision and Pattern Recognition · Computer Science 2020-10-08 Bowen Zhang , Hexiang Hu , Vihan Jain , Eugene Ie , Fei Sha

There has been a surge of recent interest in learning representations for graph-structured data. Graph representation learning methods have generally fallen into three main categories, based on the availability of labeled data. The first,…

Machine Learning · Computer Science 2022-04-13 Ines Chami , Sami Abu-El-Haija , Bryan Perozzi , Christopher Ré , Kevin Murphy

This paper introduces a new hybrid memory analysis, Structural Analysis, which combines an expressive shape analysis style abstract domain with efficient and simple points-to style transfer functions. Using data from empirical studies on…

Programming Languages · Computer Science 2012-01-06 Mark Marron

Structuring latent representations in a hierarchical manner enables models to learn patterns at multiple levels of abstraction. However, most prevalent image understanding models focus on visual similarity, and learning visual hierarchies…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Ziwei Wang , Sameera Ramasinghe , Chenchen Xu , Julien Monteil , Loris Bazzani , Thalaiyasingam Ajanthan