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Why Do Mathematicians Need Different Ways to Present Mathematical Objects? The Case of Cayley Graphs
Topoi. 2010. Vol. 29. No. 1. P. 41–51.
Irina S.
This paper investigates the role of pictures in mathematics in the particular case of Cayley graphs—the graphic representations of groups. I shall argue that their principal function in that theory—to provide insight into the abstract structure of groups—is performed employing their visual aspect. I suggest that the application of a visual graph theory in the purely non-visual theory of groups resulted in a new effective approach in which pictures have an essential role. Cayley graphs were initially developed as exact mathematical constructions. Therefore, they are legitimate components of the theory (combinatorial and geometric group theory) and the pictures of Cayley graphs are a part of practical mathematical procedures.
Mamedov I., Fofanov M., Lukianchenko P. et al., IEEE Access 2026 No. 14 P. 26662–26671
DreamBooth-style personalization, which often relies on one or a few images, can memorize context (background, pose, lighting) rather than learning the subject’s identity, thereby reducing fidelity and limiting prompt-driven edits. P-LoRA (Probability LoRA) is introduced as a training-time modification that biases diffusion timestep sampling and utilizes importance weights, ensuring that the overall objective remains unchanged. ...
Added: October 14, 2026
Axyonov Alexandr, Ryumin Dmitry, Ivanko D. et al., , in: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2024).: IEEE, 2024. P. 8195–8199.
Audio-visual speech recognition (AVSR) gains increasing attention as an important part of human-machine interaction. However, the publicly available corpora are limited, particularly in driving conditions with prevalent background noise. Research so far has been collected in constrained environments, and thus cannot reflect the true performance of AVSR systems in real-world scenarios. Moreover, data for languages ...
Added: March 6, 2025
Shirnin A., Andreev N., Potapova S. et al., IEEE/ACM Transactions on Speech and Language Processing 2024 Vol. 32 P. 2751–2763
We present an approach to evaluate the robustness of pre-trained vision and language (V&L) models to noise in input data. Given a source image/text, we perturb it using standard computer vision (CV) / natural language processing (NLP) techniques and feed it to a V&L model. To track performance changes, we explore the problem of visual ...
Added: July 19, 2024
Khazetdinov A., Zakiev A., Tsoy T. et al., , in: 2022 International Siberian Conference on Control and Communications (SIBCON).: IEEE, 2022. Ch. 9438855.
This paper presents a novel approach for precise UAV landing using visual sensory data. A new type of fiducial marker called embedded ArUco (e-ArUco) was developed specially for a task of a robust marker detection for a wide range of distances. E-ArUco markers are based on original ArUco markers approach and require only ArUco detection ...
Added: October 11, 2021
Golovanenko D. A., Uspenskij F., Вестник РГГУ. Серия «Литературоведение. Языкознание. Культурология» 2021 № 1 С. 73–85
Статья посвящена анализу примеров иконичности в поэзии скальдов. ...
Added: August 12, 2021
Maliavin V., Ячин С. Е., Вестник Московского университета. Серия 7: Философия 2021 № 2 С. 80–95
Western culture tends towards panoptical vision of the world where human being (1) occupies the place of a lonely and tragic observer of the “world picture”. Though culture’s relying on visual perspective may be quite efficient in matters of technology, it is not immune to a certain kind of optical illusion, which asserts the essential ...
Added: June 10, 2021
Инсаров Г. Э., Мендес К. Л., Semenov S. et al., Фундаментальная и прикладная климатология 2020 Т. 2 С. 6–34
Decision making in the field of limiting anthropogenic impacts on the climate system, including climate itself, requires the estimates of consequences. The assessment of the confidence of estimates is important for the reliable justification of the decisions, in particular for the risk analysis. Such an approach was developed in scientific reports of the Intergovernmental Panel ...
Added: November 2, 2020
Yavorskiy R., Voznesenskaya T., Рудаков К. А., , in: Proceedings of Analysis of Images, Social Networks and Texts – 7th International Conference, AIST 2018, Moscow, Russia, July 5-7, 2018, Revised Selected Papers. Lecture Notes in Computer ScienceVol. 11179.: Berlin: Springer, 2018. Ch. 1 P. 3–9.
We present in the form of two visualizations some preliminary results of the ongoing study of data science community in Russia. The rst visualization aggregates data about top researches and their elds of interest according to the Google Scholar service. The second graph is a map of the largest online communities on date science on ...
Added: October 4, 2018
Irina S., Horsten L., Topoi 2010 Vol. 29 No. 1 P. 1–2
According to the orthodox conception, mathematicalknowledge is obtained by a combination of mathematicalintuition and deduction: the truth of the axioms is intui-tively given, and theorems are obtained from axioms bylogical inference. Intuition and deduction are viewed astwo separate modules of mathematical thought, and theycan be studied largely independently of each other. Butthere are reasons why this view has come under increasingpressure. ...
Added: June 4, 2018
Kuznetsov S., Neznanov A., Poelmans J., , in: Proceedings, Workshop “What can FCA do for Artificial Intelligence?” of the ECAI 2012 conference.: M.: CEUR Workshop Proceedings, 2012. Ch. 12 P. 81–87.
Software system Cordiet-FCA is presented, which is designed for knowledge discovery in big dynamic data collections, including texts in natural language. Cordiet-FCA allows one to compose ontology-controlled queries and outputs concept lattice, implication bases, association rules, and other useful concept-based artifacts. Efficient algorithms for data preprocessing, text processing, and visualization of results are discussed. Examples ...
Added: January 30, 2013