Tootfinder

Maximally Extendable Sheaf Codes
Pavel Panteleev, Gleb Kalachev
https://arxiv.org/abs/2403.03651 https://arxiv.org/pdf/2403.03651

Maximally Extendable Sheaf Codes
We study sheaf codes, a type of linear codes with a fixed hierarchical collection of local codes, viewed as a sheaf of vector spaces on a finite topological space we call coded space. Many existing codes, such as tensor product codes, Sipser-Spielman codes, and their more recent high-dimensional analogs, can be naturally represented as sheaf codes on simplicial and cubical complexes, considered as coded spaces. We introduce a new property of a sheaf code, called maximal extendibility, which ens…

Oh man this was *fascinating*
From: @…
https://mastodon.art/@gleb/112233817969858103

Gleb Aliaksandrau (@gleb@mastodon.art)
Attached: 3 images The long lost secret of the Disney's sodium vapor matting technique has been re-discovered by @CorridorDigital and @debfx Paul Devebec. No way. https://www.youtube.com/watch?v=UQuIVsNzqDk #video #vfx

Prismatic $F$-Gauges and Fontaine--Laffaille modules
Gleb Terentiuk, Vadim Vologodsky, Yujie Xu
https://arxiv.org/abs/2402.17755 https://

Prismatic $F$-Gauges and Fontaine--Laffaille modules
Let $k$ be a perfect field of characteristic $p$ and $W(k)$ its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category of quasi-coherent sheaves on the syntomification of $W(k)$ spanned by objects whose Hodge-Tate weights are between $[0,p-2]$ and an appropriate derived category of Fontaine-Laffaille modules.

Operational Collective Intelligence of Humans and Machines
Nikolos Gurney, Fred Morstatter, David V. Pynadath, Adam Russell, Gleb Satyukov
https://arxiv.org/abs/2402.13273

Operational Collective Intelligence of Humans and Machines
We explore the use of aggregative crowdsourced forecasting (ACF) as a mechanism to help operationalize ``collective intelligence'' of human-machine teams for coordinated actions. We adopt the definition for Collective Intelligence as: ``A property of groups that emerges from synergies among data-information-knowledge, software-hardware, and individuals (those with new insights as well as recognized authorities) that enables just-in-time knowledge for better decisions than these three elements a…

Brand in russischer Raffinerie nach Drohnenangriff
Eine Raffinerie des russischen Ölkonzerns Lukoil in der russischen Region Nischni Nowgorod steht nach Angaben des Gouverneurs der Region nach einem Drohnenangriff in Flammen. "Heute Morgen wurde das Industriegebiet Kstowo - ein Brennstoff- und Energiekomplex - von Drohnen angegriffen", schrieb Gleb Nikitin auf dem Kurznachrichtendienst Telegram. Die Arbeit in dem Werk sei wege…
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Ukraine-Liveblog: ++ Selenskyj: Russischer Vormarsch ist gestoppt ++
Laut Präsident Selenskyj hat die Ukraine den Vormarsch der russischen Armee vorerst gestoppt. Im russischen Orjol steht ein Treibstofflager nach einem ukrainischen Drohnenangriff in Flammen. Alle Entwicklungen im Liveblog.

Utility of ocean wave parameters for improving predictions of ambient noise
W. Erick Rogers, Laurie T. Fialkowski, Daniel J. Brooker, Gleb Panteleev, Joseph M. Fialkowski
https://arxiv.org/abs/2403.18728

Utility of ocean wave parameters for improving predictions of ambient noise
This study is concerned with prediction of the "wind noise" component of ambient noise (AN) in the ocean. It builds on the seminal paper by Felizardo and Melville (1995), in which the authors quantified the correlation between AN and individual wind/wave parameters. Acoustic data are obtained from hydrophones deployed in the north and northeast Pacific Ocean, and wind/wave parameters are obtained from moored buoys and numerical models. We describe a procedure developed for this study which isol…

Uncertainty Estimation in Multi-Agent Distributed Learning for AI-Enabled Edge Devices
Gleb Radchenko, Victoria Andrea Fill
https://arxiv.org/abs/2403.09141

Uncertainty Estimation in Multi-Agent Distributed Learning for AI-Enabled Edge Devices
Initially considered as low-power units with limited autonomous processing, Edge IoT devices have seen a paradigm shift with the introduction of FPGAs and AI accelerators. This advancement has vastly amplified their computational capabilities, emphasizing the practicality of edge AI. Such progress introduces new challenges of optimizing AI tasks for the limitations of energy and network resources typical in Edge computing environments. Our study explores methods that enable distributed data pro…

Time-efficient filtering of polarimetric data by checking physical realizability of experimental Mueller matrices
Tatiana Novikova, Alexey Ovchinnikov, Gleb Pogudin, Jessica C. Ramella-Roman
https://arxiv.org/abs/2402.18555

Time-efficient filtering of polarimetric data by checking physical realizability of experimental Mueller matrices
Imaging Mueller polarimetry has already proved its potential for metrology, remote sensing and biomedicine. The real-time applications of this modality require both video rate image acquisition and fast data post-processing algorithms. First, one must check the physical realizability of the experimental Mueller matrices in order to filter out non-physical data, i.e. to test the positive semi-definiteness of the 4x4 Hermitian coherency matrix calculated from the elements of the corresponding Mue…

Isotope effect in the Morse approximation of the ground state term of hydrogen molecule nH2, n = 1-7. Herzberg anomaly and anharmonicity
Gleb S. Denisov, Edem R. Chakalov, Peter M. Tolstoy
https://arxiv.org/abs/2404.17328

Isotope effect in the Morse approximation of the ground state term of hydrogen molecule nH2, n = 1-7. Herzberg anomaly and anharmonicity
The influence of the reduced mass on the results of the approximation by the Morse function of the ground electronic state term potential U(r) of hydrogen molecule nH2 for seven symmetrical isotopologues n = 1-7 is investigated. For each isotopologue, two alternative model solutions of the Schroedinger equation are obtained, namely, M1(r) and M2(r) functions, which differ by the selection of the primary fitting parameters in the Morse approximation. The U(r) - M(r) functions are shown to clearl…

Isotope effect in the Morse approximation of the ground state term of hydrogen molecule nH2, n = 1-7. Herzberg anomaly and anharmonicity
Gleb S. Denisov, Edem R. Chakalov, Peter M. Tolstoy
https://arxiv.org/abs/2404.17328

Isotope effect in the Morse approximation of the ground state term of hydrogen molecule nH2, n = 1-7. Herzberg anomaly and anharmonicity
The influence of the reduced mass on the results of the approximation by the Morse function of the ground electronic state term potential U(r) of hydrogen molecule nH2 for seven symmetrical isotopologues n = 1-7 is investigated. For each isotopologue, two alternative model solutions of the Schroedinger equation are obtained, namely, M1(r) and M2(r) functions, which differ by the selection of the primary fitting parameters in the Morse approximation. The U(r) - M(r) functions are shown to clearl…