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1

A family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise level

Uno Hämarik, Reimo Palm, Toomas Raus

Journal:

Journal of Computational and Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 355 KB

english, 2012

2

LIBS for tungsten diagnostics in vacuum: Selection of analytes

Lissovski, A., Piip, K., Hämarik, L., Aints, M., Laan, M., Paris, P., Hakola, A., Karhunen, J.

Journal:

Journal of Nuclear Materials

Year:

2015

Language:

english

File:

PDF, 811 KB

english, 2015

3

Extrapolation of Tikhonov regularization method

Hämarik, U., Palm, R., Raus, T.

Journal:

Mathematical Modelling and Analysis

Year:

2010

Language:

english

File:

PDF, 301 KB

english, 2010

4

Regularization by discretization in Banach spaces

Hämarik, Uno, Kaltenbacher, Barbara, Kangro, Urve, Resmerita, Elena

Journal:

Inverse Problems

Year:

2016

Language:

english

File:

PDF, 507 KB

english, 2016

5

Comparison of parameter choices in regularization algorithms in case of different information about noise level

Uno Hämarik, Reimo Palm, Toomas Raus

Journal:

Year:

2011

Language:

english

File:

PDF, 460 KB

english, 2011

6

On the quasi-optimal rules for the choice of the regularization parameter in case of a noisy operator

Toomas Raus, Uno Hämarik

Journal:

Advances in Computational Mathematics

Year:

2012

Language:

english

File:

PDF, 293 KB

english, 2012

7

On the Monotone Error Rule for Parameter Choice in Iterative and Continuous Regularization Methods

U. Hämarik, U. Tautenhahn

Journal:

BIT Numerical Mathematics

Year:

2001

Language:

english

File:

PDF, 179 KB

english, 2001

8

Outcome of infants with inflicted traumatic brain injury (shaken baby syndrome) in Estonia

Inga Talvik, Mairi Männamaa, Piret Jüri, Kaja Leito, Haide Põder, Malle Hämarik, Pille Kool, Tiina Talvik

Journal:

Acta Paediatrica

Year:

2007

Language:

english

File:

PDF, 278 KB

english, 2007

9

Incidence of childhood epilepsy in Estonia

Anneli Beilmann, Aita Napa, Malle Hämarik, Anu Sööt, Inga Talvik, Tiina Talvik

Journal:

Brain and Development

Year:

1999

Language:

english

File:

PDF, 132 KB

english, 1999

10

On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data

Hämarik, U., Raus, T.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2006

Language:

english

File:

PDF, 235 KB

english, 2006

11

On The Analog Of The Monotone Error Rule For Parameter Choice In The (Iterated) Lavrentiev Regularization

HAMARIK, U, PALM, R., RAUS, T.

Journal:

Computational Methods in Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 242 KB

english, 2008

12

A Tribute to Gennadi Vainikko

Nashed, Z., Hämarik, U., Karma, O., Miidla, P., Pedas, A., Tamme, E.

Journal:

Numerical Functional Analysis and Optimization

Year:

2009

Language:

english

File:

PDF, 151 KB

english, 2009

13

On rules for stopping the conjugate gradient type methods in ill‐posed problems

Hämarik, U., Palm, R.

Journal:

Mathematical Modelling and Analysis

Year:

2007

Language:

english

File:

PDF, 256 KB

english, 2007

14

On the Self-Regularization of Ill-Posed Problems by the Least Error Projection Method

Ganina, Alina, Hämarik, Uno, Kangro, Urve

Journal:

Mathematical Modelling and Analysis

Year:

2014

Language:

english

File:

PDF, 379 KB

english, 2014

15

About the Balancing Principle for Choice of the Regularization Parameter

Hämarik, U., Raus, T.

Journal:

Numerical Functional Analysis and Optimization

Year:

2009

Language:

english

File:

PDF, 177 KB

english, 2009

16

Descriptive Epidemiology of Spinal Muscular Atrophy Type I in Estonia

Vaidla, Eve, Talvik, Inga, Kulla, Andres, Kahre, Tiina, Hamarik, Malle, Napa, Aita, Metsvaht, Tuuli, Piirsoo, Andres, Talvik, Tiina

Journal:

Neuroepidemiology

Year:

2006

Language:

english

File:

PDF, 122 KB

english, 2006

17

Foreword

Hamarik, Uno, Pedas, Arvet, Nashed, Zuhair

Journal:

Numerical Functional Analysis and Optimization

Year:

2009

Language:

english

File:

PDF, 45 KB

english, 2009

18

Monotonicity of error of regularized solution and its use for parameter choice

Hämarik, Uno, Kangro, Urve, Palm, Reimo, Raus, Toomas, Tautenhahn, Ulrich

Journal:

Inverse Problems in Science and Engineering

Year:

2014

Language:

english

File:

PDF, 264 KB

english, 2014

19

On pseudo—optimal parameter choices and stopping rules for regularization methods in banach spaces ∗

Plato, R., Hämarik, U.

Journal:

Numerical Functional Analysis and Optimization

Year:

1996

Language:

english

File:

PDF, 614 KB

english, 1996

20

On Minimization Strategies for Choice of the Regularization Parameter in Ill-Posed Problems

Hämarik, U., Palm, R., Raus, T.

Journal:

Numerical Functional Analysis and Optimization

Year:

2009

Language:

english

File:

PDF, 207 KB

english, 2009

21

The use of monotonicity for choosing the regularization parameter in ill-posed problems

Tautenhahn, U, Hämarik, U

Journal:

Inverse Problems

Year:

1999

Language:

english

File:

PDF, 253 KB

english, 1999

22

About the balancing principle for choice of the regularization parameter

Raus, T, Hämarik, U

Journal:

Journal of Physics Conference Series

Year:

2008

Language:

english

File:

PDF, 125 KB

english, 2008

23

On the quasioptimal regularization parameter choices for solving ill-posed problems

Raus, T., Hämarik, U.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2007

Language:

english

File:

PDF, 193 KB

english, 2007

24

A family of rules for the choice of the regularization parameter in the Lavrentiev method in the case of rough estimate of the noise level of the data

Hämarik, Uno, Palm, Reimo, Raus, Toomas

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2012

Language:

english

File:

PDF, 407 KB

english, 2012

25

Use of extrapolation in regularization methods

Hämarik, U., Palm, R., Raus, T.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2007

Language:

english

File:

PDF, 140 KB

english, 2007

26

Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation

Tautenhahn, U., Hämarik, U., Hofmann, B., Shao, Y.

Journal:

Numerical Functional Analysis and Optimization

Year:

2013

Language:

english

File:

PDF, 343 KB

english, 2013

27

On the choice of the regularization parameter in ill-posed problems with approximately given noise level of data

Hämarik, U., Raus, T.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2006

Language:

english

File:

PDF, 256 KB

english, 2006

28

On numerical realization of quasioptimal parameter choices in (iterated) Tikhonov and Lavrentiev regularization

Raus, T., Hamarik, U.

Journal:

Mathematical Modelling and Analysis

Year:

2009

Language:

english

File:

PDF, 204 KB

english, 2009

29

New rule for choice of the regularization parameter in (iterated) tikhonov method

Raus, T., Hämarik, U.

Journal:

Mathematical Modelling and Analysis

Year:

2009

Language:

english

File:

PDF, 204 KB

english, 2009

30

Extrapolation of Tikhonov and Lavrentiev regularization methods

Hämarik, Uno, Palm, Reimo, Raus, Toomas

Journal:

Journal of Physics Conference Series

Year:

2008

Language:

english

File:

PDF, 564 KB

english, 2008

31

Erratum: Regularization by discretization in Banach spaces (2016 Inverse Problems 32 035004)

Hämarik, Uno, Kaltenbacher, Barbara, Kangro, Urve, Resmerita, Elena

Journal:

Inverse Problems

Year:

2016

Language:

english

File:

PDF, 161 KB

english, 2016

32

Loading of deuterium and helium by Pilot-PSI plasma and their detection by in-situ LIBS

Piip, K., van der Meiden, H.J., Bystrov, K., Hämarik, L., Karhunen, J., Aints, M., Laan, M., Paris, P., Seemen, H., Hakola, A., Brezinsek, S.

Journal:

Nuclear Materials and Energy

Year:

2017

Language:

english

File:

PDF, 1.05 MB

english, 2017

33

LIBS detection of erosion/deposition and deuterium retention resulting from exposure to Pilot-PSI plasmas

Piip, K., van der Meiden, H.J., Hämarik, L., Karhunen, J., Hakola, A., Laan, M., Paris, P., Aints, M., Likonen, J., Bystrov, K., Kozlova, J., Založnik, A., Kelemen, M., Markelj, S.

Journal:

Journal of Nuclear Materials

Year:

2017

Language:

english

File:

PDF, 1.77 MB

english, 2017

34

AIP Conference Proceedings [Author(s) INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015) - Rhodes, Greece (22–28 September 2015)] - On comparison of accuracy of approximate solutions of operator equations with noisy data

Year:

2016

Language:

english

File:

PDF, 82 KB

english, 2016

35

SP140L, an Evolutionarily Recent Member of the SP100 Family, Is an Autoantigen in Primary Biliary Cirrhosis

Saare, Mario, Hämarik, Uku, Venta, Rainis, Panarina, Marina, Zucchelli, Chiara, Pihlap, Maire, Remm, Anu, Kisand, Kai, Toots, Urve, Möll, Kaidi, Salupere, Riina, Musco, Giovanna, Uibo, Raivo, Peterson

Journal:

Journal of Immunology Research

Year:

2015

Language:

english

File:

PDF, 6.94 MB

english, 2015

36

Gennadi Vainikko — 70

Hämarik, U., Karma, O., Miidla, P., Pedas, A., Tamme, E.

Journal:

Computational Methods in Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 109 KB

english, 2008

37

Semi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbations

Hämarik, Uno, Kangro, Urve, Kindermann, Stefan, Raik, Kemal

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2018

Language:

english

File:

PDF, 1.14 MB

english, 2018

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