Search results for " Regular"
showing 7 items of 197 documents
Sparse nonnegative tensor decomposition using proximal algorithm and inexact block coordinate descent scheme
2021
Nonnegative tensor decomposition is a versatile tool for multiway data analysis, by which the extracted components are nonnegative and usually sparse. Nevertheless, the sparsity is only a side effect and cannot be explicitly controlled without additional regularization. In this paper, we investigated the nonnegative CANDECOMP/PARAFAC (NCP) decomposition with the sparse regularization item using l1-norm (sparse NCP). When high sparsity is imposed, the factor matrices will contain more zero components and will not be of full column rank. Thus, the sparse NCP is prone to rank deficiency, and the algorithms of sparse NCP may not converge. In this paper, we proposed a novel model of sparse NCP w…
Constant sign and nodal solutions for parametric anisotropic $(p, 2)$-equations
2021
We consider an anisotropic ▫$(p, 2)$▫-equation, with a parametric and superlinear reaction term.Weshow that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing). The proofs use tools from critical point theory, truncation and comparison techniques, and critical groups. Spletna objava: 9. 9. 2021. Abstract. Bibliografija: str. 1076.
Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation
2022
We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, infp>1, and f is continuous and bounded. peerReviewed
Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian
2018
In this paper, we study an evolution equation involving the normalized [Formula: see text]-Laplacian and a bounded continuous source term. The normalized [Formula: see text]-Laplacian is in non-divergence form and arises for example from stochastic tug-of-war games with noise. We prove local [Formula: see text] regularity for the spatial gradient of the viscosity solutions. The proof is based on an improvement of flatness and proceeds by iteration.
Remarks on regularity for p-Laplacian type equations in non-divergence form
2018
We study a singular or degenerate equation in non-divergence form modeled by the $p$-Laplacian, $$-|Du|^\gamma\left(\Delta u+(p-2)\Delta_\infty^N u\right)=f\ \ \ \ \text{in}\ \ \ \Omega.$$ We investigate local $C^{1,\alpha}$ regularity of viscosity solutions in the full range $\gamma>-1$ and $p>1$, and provide local $W^{2,2}$ estimates in the restricted cases where $p$ is close to 2 and $\gamma$ is close to 0.
OCTA atlīdzību apjoma modelēšana, lietojot vispārināto lineāro modeli
2017
Darbs veltīts obligātās civiltiesiskās transportlīdzekļu apdrošināšanas (OCTA) atlīdzību modelēšanai. Modeļu klase, ko izvēlēts lietot, ir vispārinātais lineārais modelis (GLM), kas praksē tiek bieži lietots apdrošināšanas atlīdzību modelēšanai. Darbā aprakstīti vispārinātā lineārā modeļa teorijas pamati un modeļa precizitātes novērtēšanas mēri. Aplūkotas dažādas modeļa parametru novērtēšanas un faktoru atlases metodes, no iegūtajiem modeļiem izvēlēts modelis ar labāko pielāgošanas kvalitāti un precīzāko prognozēšanas spēju. Visbiežāk lietotās metodes - iteratīvā mazāko kvadrātu metode parametru novērtēšanai un soļu regresija faktoru atlasei tika salīdzinātas ar lasso un elastīgo tīklu regu…
Stan badań nad klasztorem kanoników regularnych w Żaganiu w średniowieczu
2019
Opactwo klasztoru kanonikow regularnych reguły świętego Augustyna w Żaganiu powstało w 1284 r. w wyniku translacji z opactwa, a przedtem prepozytury ufundowanej przez Henryka Brodatego z Nowogrodu Bobrzańskiego. Początkowo zakonnicy związani z klasztorem NMP na Piasku we Wrocławiu drugiej połowie XII w. uzyskali niezależność od macierzystej jednostki. Niektóre z aspektow działalności kanonikow z Żagania zostało już w historiografii zbadane. Najlepiej poznaną osobą z tego konwentu jest autor kroniki klasztornej Ludolf. Dobrze znana jest historia i zasoby biblioteki klasztornej oraz zabudowań konwentu. Niestety wielu elementow z działalności i z życia kanonikow żagańskich nie doczekało się je…