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Computationally efficient matrix multiplication is a fundamental requirement in various fields, including and particularly in data analytics. To do so, the computation task of a large-scale matrix multiplication is typically outsourced to…

Information Theory · Computer Science 2018-11-01 Jaber Kakar , Seyedhamed Ebadifar , Aydin Sezgin

In this paper, we study cryptography from a geometrical viewpoint. Let N be a network, we endow N with a natural Grothendieck topology. We use geometric representations of cohomological classes to define encryptions protocols. Link to link…

Category Theory · Mathematics 2014-09-18 Aristide Tsemo

Efficient numerical linear algebra is a core ingredient in many applications across almost all scientific and industrial disciplines. With this survey we want to illustrate that numerical linear algebra has played and is playing a crucial…

Numerical Analysis · Mathematics 2021-04-20 Martin Stoll

In contemporary edge computing systems, decentralized edge nodes aggregate unprocessed data and facilitate data analytics to uphold low transmission latency and real-time data processing capabilities. Recently, these edge nodes have evolved…

Cryptography and Security · Computer Science 2024-04-29 Kongyang Chen , Yi Lin , Hui Luo , Bing Mi , Yatie Xiao , Chao Ma , Jorge Sá Silva

Linear algebraic operations are ubiquitous in engineering applications, and arise often in a variety of fields including statistical signal processing and machine learning. With contemporary large datasets, to perform linear algebraic…

Numerical Analysis · Mathematics 2025-09-24 Neophytos Charalambides , Arya Mazumdar

The financial sector presents many opportunities to apply various machine learning techniques. Centralized machine learning creates a constraint which limits further applications in finance sectors. Data privacy is a fundamental challenge…

Machine Learning · Computer Science 2020-07-15 Yifei Zhang , Hao Zhu

Distributed online learning is gaining increased traction due to its unique ability to process large-scale datasets and streaming data. To address the growing public awareness and concern on privacy protection, plenty of algorithms have…

Machine Learning · Computer Science 2024-08-27 Ziqin Chen , Yongqiang Wang

We introduce a simple, practical approach with probabilistic information-theoretic security to mitigate one of quantum key distribution's major limitations: the short maximum transmission distance (~200 km) possible with present day…

Quantum Physics · Physics 2008-08-23 Travis R. Beals , Barry C. Sanders

University level mathematics in a number of countries is under pressure to `decolonise the curriculum'. This paper considers, as a test case, a possible `decolonisation' of linear algebra. This is a representative case, since linear algebra…

History and Overview · Mathematics 2023-01-13 Alexandre Borovik

We introduce and investigate the concept of Stratified Algebra, a new algebraic framework equipped with a layer-based structure on a vector space. We formalize a set of axioms governing intra-layer and inter-layer interactions, study their…

General Mathematics · Mathematics 2025-05-27 Stanislav Semenov

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

Group Theory · Mathematics 2017-09-20 V. A. Roman'kov

Security engineering in the software lifecycle aims at protecting information and systems to guarantee confidentiality, integrity, and availability. As security engineering matures and the number of research papers grows, there is an…

Software Engineering · Computer Science 2018-01-23 Michael Felderer , Jeffrey C. Carver

As the number of hacking events and cyber threats keeps going up, it is getting harder and harder to communicate securely and keep personal information safe on the Internet. Cryptography is a very important way to deal with these problems…

Cryptography and Security · Computer Science 2023-11-29 Kashif Ishaq , Awais Ahmed Qarni

Cryptography promises four information security objectives, namely, confidentiality, integrity, authenticity, and non-repudiation, to support trillions of transactions annually in the digital economy. Efficient digital signatures, ensuring…

Quantum Physics · Physics 2023-05-11 Hua-Lei Yin , Yao Fu , Chen-Long Li , Chen-Xun Weng , Bing-Hong Li , Jie Gu , Yu-Shuo Lu , Shan Huang , Zeng-Bing Chen

Neural cryptography is based on synchronization of tree parity machines by mutual learning. We extend previous key-exchange protocols by replacing random inputs with queries depending on the current state of the neural networks. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Wolfgang Kinzel , Ido Kanter

Distributed optimization and learning has recently garnered great attention due to its wide applications in sensor networks, smart grids, machine learning, and so forth. Despite rapid development, existing distributed optimization and…

Machine Learning · Computer Science 2024-03-04 Ziqin Chen , Yongqiang Wang

This thesis proposes techniques aiming to make blockchain technologies and smart contract platforms practical by improving their scalability, latency, and privacy. This thesis starts by presenting the design and implementation of…

Cryptography and Security · Computer Science 2021-02-25 Alberto Sonnino

Internet of Things devices are expanding rapidly and generating huge amount of data. There is an increasing need to explore data collected from these devices. Collaborative learning provides a strategic solution for the Internet of Things…

Cryptography and Security · Computer Science 2022-07-21 Guanhong Miao

A key functionality of emerging connected autonomous systems such as smart cities, smart transportation systems, and the industrial Internet-of-Things, is the ability to process and learn from data collected at different physical locations.…

Machine Learning · Computer Science 2021-03-09 Konstantinos Gatsis

In this paper, we study a distributed privacy-preserving learning problem in social networks with general topology. The agents can communicate with each other over the network, which may result in privacy disclosure, since the…

Social and Information Networks · Computer Science 2023-01-30 Youming Tao , Shuzhen Chen , Feng Li , Dongxiao Yu , Jiguo Yu , Hao Sheng