Zobrazeno 1 - 10
of 459
pro vyhledávání: '"Piotrowski, Tomasz"'
Autor:
Piotrowski, Tomasz, Yamada, Isao
Publikováno v:
Journal of the Franklin Institute, 2016
Reduced-rank approach has been used for decades in robust linear estimation of both deterministic and random vector of parameters in linear model y=Hx+\sqrt{epsilon}n. In practical settings, estimation is frequently performed under incomplete or inex
Externí odkaz:
http://arxiv.org/abs/2408.01117
Deep equilibrium (DEQ) models are widely recognized as a memory efficient alternative to standard neural networks, achieving state-of-the-art performance in language modeling and computer vision tasks. These models solve a fixed point equation instea
Externí odkaz:
http://arxiv.org/abs/2402.04029
We introduce the concept of inverse feasibility for linear forward models as a tool to enhance OTA FL algorithms. Inverse feasibility is defined as an upper bound on the condition number of the forward operator as a function of its parameters. We ana
Externí odkaz:
http://arxiv.org/abs/2211.14115
We prove that the fixed point iteration of arbitrary positive concave mappings with nonempty fixed point set converges geometrically for any starting point. We also show that positivity is crucial for this result to hold, and the concept of (nonlinea
Externí odkaz:
http://arxiv.org/abs/2110.11055
Autor:
Komorowski, Michał K., Rykaczewski, Krzysztof, Piotrowski, Tomasz, Jurewicz, Katarzyna, Wojciechowski, Jakub, Keitel, Anne, Dreszer, Joanna, Duch, Włodzisław
Spectral fingerprints (SFs) are unique power spectra signatures of human brain regions of interest (ROIs, Keitel & Gross, 2016). SFs allow for accurate ROI identification and can serve as biomarkers of differences exhibited by non-neurotypical groups
Externí odkaz:
http://arxiv.org/abs/2110.09919
The relaxed zero-forcing (RZF) beamformer is a quadratically-and-linearly constrained minimum variance beamformer. The central question addressed in this paper is whether RZF performs better than the widely-used minimum variance distortionless respon
Externí odkaz:
http://arxiv.org/abs/2109.05342
Publikováno v:
Journal of Machine Learning Research, 25(139):1-40, 2024
We use fixed point theory to analyze nonnegative neural networks, which we define as neural networks that map nonnegative vectors to nonnegative vectors. We first show that nonnegative neural networks with nonnegative weights and biases can be recogn
Externí odkaz:
http://arxiv.org/abs/2106.16239
Autor:
Piotrowski, Tomasz, Romero, María José Martínez-Echevarría, Prochoń, Piotr, Alonso, Mónica López, Michalczyk, Rafał, Arvizu-Montes, Armando, Ciupiński, Łukasz, Jarque, Santiago Becerril, Józefiak, Kazimierz, Qiu, Yuefeng, Ansorge, Martin, Chohan, Hari, Wojtkowska, Magdalena
Publikováno v:
In Nuclear Materials and Energy March 2024 38
A recent analysis of a model of iterative neural network in Hilbert spaces established fundamental properties of such networks, such as existence of the fixed points sets, convergence analysis, and Lipschitz continuity. Building on these results, we
Externí odkaz:
http://arxiv.org/abs/1908.05982
Recognition and interpretation of brain activity patterns from EEG or MEG signals is one of the most important tasks in cognitive neuroscience, requiring sophisticated methods of signal processing. The supFunSim library is a new Matlab toolbox which
Externí odkaz:
http://arxiv.org/abs/1904.11948