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pro vyhledávání: '"P, Bober"'
The meteoric rise of online games has created a need for accurate skill rating systems for tracking improvement and fair matchmaking. Although many skill rating systems are deployed, with various theoretical foundations, less work has been done at an
Externí odkaz:
http://arxiv.org/abs/2410.02831
Autor:
Wagner, Nico, Narożnik, Mateusz, Bober, Marcin, Sauer, Steffen, Zawada, Michał, Kroker, Stefanie
NEXCERA has been recently introduced as novel ceramic-based material for spacers of ultra-stable laser cavities with a zero-crossing coefficient of thermal expansion at room temperature. Brownian thermal noise currently limits the performance of thes
Externí odkaz:
http://arxiv.org/abs/2409.14120
Autor:
Bober, Jonathan W., Goldmakher, Leo
In this note we prove (under mild hypotheses) that $f$ is a nontrivial character of $\mathbb{F}_p$ if and only if the Fourier transform of $f$ has magnitude 1 somewhere in $\mathbb{F}_p^\times$. This implies a converse to a theorem of Gauss on the ma
Externí odkaz:
http://arxiv.org/abs/2407.16937
Autor:
Bober-Irizar, Mikel, Banerjee, Soumya
For half a century, artificial intelligence research has attempted to reproduce the human qualities of abstraction and reasoning - creating computer systems that can learn new concepts from a minimal set of examples, in settings where humans find thi
Externí odkaz:
http://arxiv.org/abs/2402.03507
The accurate prediction of survival times for patients with severe diseases remains a critical challenge despite recent advances in artificial intelligence. This study introduces "SurvTimeSurvival: Survival Analysis On Patients With Multiple Visits/R
Externí odkaz:
http://arxiv.org/abs/2311.09854
We prove the existence of "murmurations" in the family of holomorphic modular forms of level $1$ and weight $k\to\infty$, that is, correlations between their root numbers and Hecke eigenvalues at primes growing in proportion to the analytic conductor
Externí odkaz:
http://arxiv.org/abs/2310.07746
Autor:
Mikel Bober-Irizar, Soumya Banerjee
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-20 (2024)
Abstract For half a century, artificial intelligence research has attempted to reproduce the human qualities of abstraction and reasoning - creating computer systems that can learn new concepts from a minimal set of examples, in settings where humans
Externí odkaz:
https://doaj.org/article/77cb7924d2644815b5e1c8818d042e2e
We investigate $k$-superirreducible polynomials, by which we mean irreducible polynomials that remain irreducible under any polynomial substitution of positive degree at most $k$. Let $\mathbb F$ be a finite field of characteristic $p$. We show that
Externí odkaz:
http://arxiv.org/abs/2309.15304
Publikováno v:
EPL 136 58001 (2021)
Experiments aimed at searching for variations in the fine-structure constant $\alpha$ are based on spectroscopy of transitions in microscopic bound systems, such as atoms and ions, or resonances in optical cavities. The sensitivities of these systems
Externí odkaz:
http://arxiv.org/abs/2305.11264
We propose to use table-top-size ultra-stable optical cavities from the state-of-the-art optical atomic clocks as bar gravitational wave detectors for the frequencies higher than 2 kHz. We show that 2-20 kHz range of gravitational waves' spectrum can
Externí odkaz:
http://arxiv.org/abs/2301.08200