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How can we compress language models without sacrificing accuracy? The number of compression algorithms for language models is rapidly growing to benefit from remarkable advances of recent language models without side effects due to the…

Computation and Language · Computer Science 2024-01-30 Seungcheol Park , Jaehyeon Choi , Sojin Lee , U Kang

Like [1], we present an algorithm to compute the simulation of a query pattern in a graph of labeled nodes and unlabeled edges. However, our algorithm works on a compressed graph grammar, instead of on the original graph. The speed-up of…

Data Structures and Algorithms · Computer Science 2020-01-15 Stefan Böttcher , Rita Hartel , Sven Peeters

One of the most important reasons of the existence of different types of files with media (audio or video) content, is achieving compression and less size, while preserving quality. In terms of fast transportation of files between equipment…

Image and Video Processing · Electrical Eng. & Systems 2021-01-08 Abbas Mirzaei Somarin , Mohammad Reza Deldadeh Shirin

Graph randomization techniques play a crucial role in network analysis, allowing researchers to assess the statistical significance of observed network properties and distinguish meaningful patterns from random fluctuations. In this survey…

Physics and Society · Physics 2024-05-10 Bart De Clerck , Filip Van Utterbeeck , Luis E. C. Rocha

We investigate topological, combinatorial, statistical, and enumeration properties of finite graphs with high Kolmogorov complexity (almost all graphs) using the novel incompressibility method. Example results are: (i) the mean and variance…

Combinatorics · Mathematics 2007-05-23 Harry Buhrman , Ming Li , John Tromp , Paul Vitanyi

Hypergraphs provide a natural representation for many-to-many relationships in data-intensive applications, yet their scalability is often hindered by high memory consumption. While prior work has improved computational efficiency, reducing…

Data Structures and Algorithms · Computer Science 2025-06-23 Tianyu Zhao , Dongfang Zhao , Luanzheng Guo , Nathan Tallent

Our increasingly digital and connected world has led to the generation of unprecedented amounts of data. This data must be efficiently managed, transmitted, and stored to preserve resources and allow scalability. Data compression has…

Information Theory · Computer Science 2025-10-09 Jonas G. Matt , Pengcheng Huang , Balz Maag

This article presents a survey of work on lifted graphical models. We review a general form for a lifted graphical model, a par-factor graph, and show how a number of existing statistical relational representations map to this formalism. We…

Artificial Intelligence · Computer Science 2011-08-29 Lilyana Mihalkova , Lise Getoor

We are living in a world which is getting more and more interconnected and, as physiological effect, the interaction between the entities produces more and more information. This high throughput generation calls for techniques able to…

Data Structures and Algorithms · Computer Science 2018-12-17 Francesco Pelosin

In recent years studying the content of the World Wide Web became a very important yet rather difficult task. There is a need for a compression technique that would allow a web graph representation to be put into the memory while…

Data Structures and Algorithms · Computer Science 2013-05-02 Filip Proborszcz

In this paper, we study the problem of graph compression with side information at the decoder. The focus is on the situation when an unlabelled graph (which is also referred to as a structure) is to be compressed or is available as side…

Information Theory · Computer Science 2025-01-20 Praneeth Kumar Vippathalla , Mihai-Alin Badiu , Justin P. Coon

The method of types presented by Csiszar and Korner is a central tool used to develop and analyze the basic properties and constraints on sequences of data over finite alphabets. A central problem considered using these tools is that of…

Information Theory · Computer Science 2021-11-30 Ronit Bustin , Ofer Shayevitz

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

Information Theory · Computer Science 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

We study the problem of distance-preserving graph compression for weighted paths and trees. The problem entails a weighted graph $G = (V, E)$ with non-negative weights, and a subset of edges $E^{\prime} \subset E$ which needs to be removed…

Data Structures and Algorithms · Computer Science 2024-09-19 Amirali Madani , Anil Maheshwari

Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga

In this survey, we explore recent literature on finding the cores of higher graphs using geometric and topological means. We study graphs, hypergraphs, and simplicial complexes, all of which are models of higher graphs. We study the notion…

History and Overview · Mathematics 2025-06-30 Inés García-Redondo , Claudia Landi , Sarah Percival , Anda Skeja , Bei Wang , Ling Zhou

Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from high computational cost and excessive memory requirements associated with the high-dimensionality and…

Machine Learning · Computer Science 2020-12-16 Mengjia Xu

Massive sizes of real-world graphs, such as social networks and web graph, impose serious challenges to process and perform analytics on them. These issues can be resolved by working on a small summary of the graph instead . A summary is a…

Data Structures and Algorithms · Computer Science 2018-06-12 Maham Anwar Beg , Muhammad Ahmad , Arif Zaman , Imdadullah Khan

Uncertain graphs are prevalent in several applications including communications systems, biological databases and social networks. The ever increasing size of the underlying data renders both graph storage and query processing extremely…

Data Structures and Algorithms · Computer Science 2017-05-25 Panos Parchas , Nikolaos Papailiou , Dimitris Papadias , Francesco Bonchi

Being the most cutting-edge generative methods, diffusion methods have shown great advances in wide generation tasks. Among them, graph generation attracts significant research attention for its broad application in real life. In our…

Machine Learning · Computer Science 2024-07-17 Hongyang Chen , Can Xu , Lingyu Zheng , Qiang Zhang , Xuemin Lin