Scalar Function Topology Divergence: Comparing Topology of 3D Objects

Autor: Trofimov, Ilya, Voronkova, Daria, Tulchinskii, Eduard, Burnaev, Evgeny, Barannikov, Serguei

Publikováno v: ECCV 2024

We propose a new topological tool for computer vision - Scalar Function Topology Divergence (SFTD), which measures the dissimilarity of multi-scale topology between sublevel sets of two functions having a common domain. Functions can be defined on an

Externí odkaz: http://arxiv.org/abs/2407.08364

Topological obstructions in neural networks learning

Autor: Barannikov, Serguei, Voronkova, Daria, Trofimov, Ilya, Korotin, Alexander, Sotnikov, Grigorii, Burnaev, Evgeny

We apply topological data analysis methods to loss functions to gain insights into learning of deep neural networks and deep neural networks generalization properties. We use the Morse complex of the loss function to relate the local behavior of grad

Externí odkaz: http://arxiv.org/abs/2012.15834

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Palladium anchored to BisPyP@bilayer-SiO 2 @NMP organic-inorganic hybrid as an efficient and recoverable novel nanocatalyst in suzuki and stille C-C coupling reactions.

Autor: Abdalrazaq EA; Department of Chemistry, Faculty of Science, Al Hussein Bin Talal University, Ma'an, Jordan., Mohammed HK; Medical Laboratory Techniques Department, Almaarif University College, Ramadi, Iraq., Voronkova DK; Department of Mathematics and Natural Sciences, Gulf University for Science and Technology, Mishref Campus, Mubarak Al-Abdullah, Kuwait.; Bauman Moscow State Technical University Moscow, Moscow, Russia., Joshi SK; Department of Mechanical Engineering, Uttaranchal Institute of Technology, Uttaranchal University, Dehradun, 248007, India., Saleh EAM; Department of Chemistry, College of Arts and Science, Prince Sattam Bin Abdulaziz University, 11991, Wadi Al-Dawasir, Saudi Arabia., Kareem AH; College of Health and Medical Technology, Al-Ayen University, Thi-Qar, 64001, Iraq., Kumar A; Department of Nuclear and Renewable Energy, Ural Federal University Named After the First President of Russia Boris Yeltsin, Ekaterinburg, Russia, 620002., Alawadi A; College of Technical Engineering, The Islamic University, Najaf, Iraq.; College of Technical Engineering, The Islamic University of Al Diwaniyah, Al Diwaniyah, Iraq.; College of Technical Engineering, The Islamic University of Babylon, Babylon, Iraq., Alslaami A; College of Medical Technique, The Islamic University, Najaf, Iraq., Fathollahi R; Takin Shimi Sepanta Industries Co, Sirvan Industrial Zone, PO 6958140120, Ilam, Iran. rfathollahi_2011@yahoo.com.

Publikováno v: Scientific reports [Sci Rep] 2024 Apr 18; Vol. 14 (1), pp. 8945. Date of Electronic Publication: 2024 Apr 18.