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The paper addresses a new class of combinatorial problems which consist in restructuring of solutions (as structures) in combinatorial optimization. Two main features of the restructuring process are examined: (i) a cost of the…

Data Structures and Algorithms · Computer Science 2011-02-10 Mark Sh. Levin

With distributed machine learning being a prominent technique for large-scale machine learning tasks, communication complexity has become a major bottleneck for speeding up training and scaling up machine numbers. In this paper, we propose…

Machine Learning · Computer Science 2023-09-26 Pengyun Yue , Hanzhen Zhao , Cong Fang , Di He , Liwei Wang , Zhouchen Lin , Song-chun Zhu

The state space dynamics representation is the most general approach for nonlinear systems and often chosen for system identification. During training, the state trajectory can deform significantly leading to poor data coverage of the state…

Machine Learning · Computer Science 2025-07-11 Hermann Klein , Max Heinz Herkersdorf , Oliver Nelles

The same type of objects in different images may vary in their shapes because of rigid and non-rigid shape deformations, occluding foreground as well as cluttered background. The problem concerned in this work is the shape extraction in…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Junyan Wang , Kap-Luk Chan

This work proposes an extension to Structured Grammatical Evolution (SGE) called Co-evolutionary Probabilistic Structured Grammatical Evolution (Co-PSGE). In Co-PSGE each individual in the population is composed by a grammar and a genotype,…

Neural and Evolutionary Computing · Computer Science 2022-04-20 Jessica Mégane , Nuno Lourenço , Penousal Machado

This paper addresses the problem of document image dewarping, which aims at eliminating the geometric distortion in document images for document digitization. Instead of designing a better neural network to approximate the optical flow…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Xiangwei Jiang , Rujiao Long , Nan Xue , Zhibo Yang , Cong Yao , Gui-Song Xia

Verifying the complex and multi-step reasoning of Large Language Models (LLMs) is a critical challenge, as holistic methods often overlook localized flaws. Step-by-step validation is a promising alternative, yet existing methods are often…

Artificial Intelligence · Computer Science 2025-11-25 Jiwei Fang , Bin Zhang , Changwei Wang , Jin Wan , Zhiwei Xu

Recent availability of data of writing processes at keystroke-granularity has enabled research on the evolution of document writing. A natural step is to develop systems that can actually show this data and make it understandable. Here we…

Human-Computer Interaction · Computer Science 2017-12-19 Ignacio Perez-Messina , Claudio Gutierrez , Eduardo Graells-Garrido

Following the success of Word2Vec embeddings, graph embeddings (GEs) have gained substantial traction. GEs are commonly generated and evaluated extrinsically on downstream applications, but intrinsic evaluations of the original graph…

Machine Learning · Computer Science 2023-09-06 Hong Yung Yip , Chidaksh Ravuru , Neelabha Banerjee , Shashwat Jha , Amit Sheth , Aman Chadha , Amitava Das

Graphical models are widely used in science to represent joint probability distributions with an underlying conditional dependence structure. The inverse problem of learning a discrete graphical model given i.i.d samples from its joint…

Machine Learning · Computer Science 2020-12-24 Abhijith J. , Andrey Y. Lokhov , Sidhant Misra , Marc Vuffray

Grokking -- the abrupt transition from memorization to generalization long after near-zero training loss -- has been studied mainly in single-task settings. We extend geometric analysis to multi-task modular arithmetic, training…

Machine Learning · Computer Science 2026-04-06 Yongzhong Xu

Previous work has suggested that the structural restrictions of graphs from classes of bounded expansion--locally dense pockets in a globally sparse graph--naturally coincide with common properties of real-world networks such as clustering…

Data Structures and Algorithms · Computer Science 2018-04-24 Michael P. O'Brien , Blair D. Sullivan

This paper proposes a Graph Neural Network-guided algorithm for solving word equations, based on the well-known Nielsen transformation for splitting equations. The algorithm iteratively rewrites the first terms of each side of an equation,…

Machine Learning · Computer Science 2024-11-26 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Julie Cailler , Chencheng Liang , Philipp Rümmer

This work addresses the challenge of using a deep learning model to prune graphs and the ability of this method to integrate explainability into spatio-temporal problems through a new approach. Instead of applying explainability to the…

Machine Learning · Computer Science 2025-10-14 Javier García-Sigüenza , Mirco Nanni , Faraón Llorens-Largo , José F. Vicent

We study the effectiveness of Knowledge Graph Embeddings (KGE) for knowledge graph (KG) completion with rule mining. More specifically, we mine rules from KGs before and after they have been completed by a KGE to compare possible…

Machine Learning · Computer Science 2022-06-24 Johanna Jøsang , Ricardo Guimarães , Ana Ozaki

This document reports on the use of an algebraic, visual, formal approach to the specification of patterns for the formalization of the GoF design patterns. The approach is based on graphs, morphisms and operations from category theory and…

Software Engineering · Computer Science 2010-03-18 Paolo Bottoni , Esther Guerra , Juan de Lara

Graph Neural Networks (GNNs) are widely used for graph representation learning. Despite its prevalence, GNN suffers from two drawbacks in the graph classification task, the neglect of graph-level relationships, and the generalization issue.…

Machine Learning · Computer Science 2024-06-07 Jiaxing Xu , Jinjie Ni , Yiping Ke

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

Machine Learning · Computer Science 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

This work presents GROUSE (Grassmanian Rank-One Update Subspace Estimation), an efficient online algorithm for tracking subspaces from highly incomplete observations. GROUSE requires only basic linear algebraic manipulations at each…

Information Theory · Computer Science 2011-07-14 Laura Balzano , Robert Nowak , Benjamin Recht

The challenge of learning disentangled representation has recently attracted much attention and boils down to a competition using a new real world disentanglement dataset (Gondal et al., 2019). Various methods based on variational…

Machine Learning · Computer Science 2019-12-03 Jie Qiao , Zijian Li , Boyan Xu , Ruichu Cai , Kun Zhang
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