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2020, Springer Monographs in Mathematics, ISBN 3030320677, 504
This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There... 
eBook
Scientific reports, ISSN 2045-2322, 01/2020, Volume 10, Issue 1, pp. 1016 - 10
... algorithm for binary classification of longitudinal data Riku Klén 1,2,3, Markku Karhunen1,3 and Laura L. elo1* Machine learning methods have gained increased... 
Learning algorithms | Teaching methods | Decision making | Machine learning
Journal Article
PLoS ONE, ISSN 1932-6203, 07/2018, Volume 13, Issue 7, p. e0199991
...Author(s): Maria K. Jaakkola 1,2,*, Aidan J. McGlinchey 1, Riku Klen 1, Laura L. Elo 1 Introduction The increasing relevance of personalized medicine makes... 
PROLACTIN | EXPRESSION | GLUCOSE | MULTIDISCIPLINARY SCIENCES | BLOOD MONONUCLEAR-CELLS | Computational Biology - methods | Sample Size | Uncertainty | Precision Medicine | Medicine, Experimental | Medical research | Research | Gene expression | Datasets | Studies | Biotechnology | Group effects | Disease | Leukemia | Arthritis | Diabetes | Kinases | Medical diagnosis | Asthma
Journal Article
Results in Mathematics, ISSN 1422-6383, 9/2017, Volume 72, Issue 1, pp. 47 - 69
... Results in Mathematics Hyperbolic Type Distances in Starlike Domains Riku Kl´ en Abstract. We study the growth of hyperbolic type distances in starlike domains... 
30C65 | 51M10 | starlike domain | Mathematics, general | Mathematics | Hyperbolic type distance | 30F45 | MATHEMATICS | DISTORTION | MATHEMATICS, APPLIED | BALLS | QUASI-CONFORMAL MAPPINGS | LOCAL CONVEXITY PROPERTIES | MOBIUS TRANSFORMATIONS | Mathematics - Metric Geometry
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 07/2017, Volume 290, Issue 10, pp. 1531 - 1543
In this paper we prove a sharp distortion property of the Cassinian metric under Möbius transformations of a punctured ball onto another punctured ball. The... 
30C20 | 51M10 | metric balls | distortion and inclusion properties | Möbius transformations | starlikeness and convexity | 30C35 | the Cassinian metric | 30F45 | MATHEMATICS | Mobius transformations | BALLS | MAPPINGS | LOCAL CONVEXITY PROPERTIES | LIPSCHITZ-CONDITIONS | DOMAINS | INCLUSION RELATIONS | Mathematics - Metric Geometry
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 6/2018, Volume 186, Issue 2, pp. 281 - 298
...Monatsh Math (2018) 186:281–298 https://doi.org/10.1007/s00605-017-1142-y Local convexity of metric balls Parisa Hariri 1 · Riku Klén 1 · Matti Vuorinen 1... 
Mathematics, general | Visual angle metric | Mathematics | 51M10 (52A20) | Triangular ratio metric ball | Local convexity | MATHEMATICS | MAPPINGS | INCLUSION RELATIONS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2014, Volume 409, Issue 1, pp. 521 - 529
Journal Article
Conformal Geometry and Dynamics, ISSN 1088-4173, 09/2013, Volume 17, Issue 10, pp. 133 - 144
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 342, Issue 1, pp. 192 - 201
This paper deals with local convexity properties of the quasihyperbolic metric in the punctured space. We consider convexity and starlikeness of the... 
Local convexity | Quasihyperbolic ball | MATHEMATICS | quasihyperbolic ball | local convexity | MATHEMATICS, APPLIED | MAPPINGS | DOMAINS | Mathematics - Metric Geometry
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 6/2015, Volume 89, Issue 3, pp. 473 - 484
... Mathematicae Convexity properties of generalized trigonometric and hyperbolic functions Arp ´ ad Baricz, Barkat Ali Bhayo, Riku Kl ´ ´ en Abstract. We study the power mean... 
generalized trigonometric functions | generalized inverse trigonometric functions | 33B99 | 33C99 | Analysis | eigenfunctions of p -Laplacian | geometrical convexity | Mathematics | convexity with respect to power means | Combinatorics | Power mean | MATHEMATICS | MATHEMATICS, APPLIED | eigenfunctions of p-Laplacian | Trigonometry | Mathematical functions
Journal Article
by Fourati, Slim and Talla, Aarthi and Mahmoudian, Mehrad and Burkhart, Joshua G and Klén, Riku and Henao, Ricardo and Yu, Thomas and Aydın, Zafer and Yeung, Ka Yee and Ahsen, Mehmet Eren and Almugbel, Reem and Jahandideh, Samad and Liang, Xiao and Nordling, Torbjörn E. M and Shiga, Motoki and Stanescu, Ana and Vogel, Robert and Abdallah, Emna Ben and Aghababazadeh, Farnoosh Abbas and Amadoz, Alicia and Bhalla, Sherry and Bleakley, Kevin and Bongen, Erika and Borzacchielo, Domenico and Bucher, Philipp and Carbonell-Caballero, Jose and Chaudhary, Kumardeep and Chinesta, Francisco and Chodavarapu, Prasad and Chow, Ryan D and Cokelaer, Thomas and Cubuk, Cankut and Dhanda, Sandeep Kumar and Dopazo, Joaquin and Faux, Thomas and Feng, Yang and Flinta, Christofer and Guziolowski, Carito and He, Di and Hidalgo, Marta R and Hou, Jiayi and Inoue, Katsumi and Jaakkola, Maria K and Ji, Jiadong and Kumar, Ritesh and Kumar, Sunil and Kursa, Miron Bartosz and Li, Qian and Łopuszyński, Michał and Lu, Pengcheng and Magnin, Morgan and Mao, Weiguang and Miannay, Bertrand and Nikolayeva, Iryna and Obradovic, Zoran and Pak, Chi and Rahman, Mohammad M and Razzaq, Misbah and Ribeiro, Tony and Roux, Olivier and Saghapour, Ehsan and Saini, Harsh and Sarhadi, Shamim and Sato, Hiroki and Schwikowski, Benno and Sharma, Alok and Sharma, Ronesh and Singla, Deepak and Stojkovic, Ivan and Suomi, Tomi and Suprun, Maria and Tian, Chengzhe and Tomalin, Lewis E and Xie, Lei and Yu, Xiang and Pandey, Gaurav and Chiu, Christopher and McClain, Micah T and Woods, Christopher W and Ginsburg, Geoffrey S and Elo, Laura L and Tsalik, Ephraim L and Mangravite, Lara M and Sieberts, Solveig K and Resp Viral DREAM Challenge Consort and Respiratory Viral DREAM Challenge Consortium and The Respiratory Viral DREAM Challenge Consortium
Nature Communications, ISSN 2041-1723, 12/2018, Volume 9, Issue 1, pp. 4418 - 11
Journal Article
MISKOLC MATHEMATICAL NOTES, ISSN 1787-2405, 2017, Volume 18, Issue 1, pp. 125 - 137
... BARKAT ALI BHAYO, RIKU KLÉN, AND JÓZSEF SÁNDOR Received 24 February, 2015 Abstract. The aim of this paper is to prove new trigonometric and hyperbolic... 
MATHEMATICS | hyperbolic functions | circular functions | trigonometric inequalities | MONOTONICITY | WILKERS INEQUALITY | RULES | hyperbolic inequalities | Mathematics - Classical Analysis and ODEs
Journal Article
Sensors (Basel, Switzerland), ISSN 1424-8220, 09/2019, Volume 19, Issue 19, p. 4137
Dual cardiac and respiratory gating is a well-known technique for motion compensation in nuclear medicine imaging. In this study, we present a new data fusion... 
Positron Emission Tomography Computed Tomography | Image Processing, Computer-Assisted - methods | Positron-Emission Tomography - methods | Principal Component Analysis | Humans | data fusion | cardiac PET | MEMS accelerometer and gyroscope | dual gating
Journal Article
Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2010, Volume 35, Issue 1, pp. 493 - 501
Journal Article
Annales Academiae scientiarum Fennicae. Mathematica, ISSN 1239-629X, 2015, Volume 40, pp. 683 - 709
Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica Volumen 40, 2015, 683-709 The triangular ratio metric is studied in subdomains of the complex plane... 
Mathematics - Classical Analysis and ODEs
Journal Article
Publicationes Mathematicae, ISSN 0033-3883, 2017, Volume 90, Issue 3-4, pp. 269 - 285
Some sharp inequalities between the triangular ratio metric and the Cassinian metric are proved in the unit ball. 
Distance ratio metric | Hyperbolic metric | Triangular ratio metric | Cassinian metric | MATHEMATICS | triangular ratio metric | MAPS | hyperbolic metric | distance ratio metric | MAPPINGS | DOMAINS | Mathematics - Metric Geometry
Journal Article
The Journal of Geometric Analysis, ISSN 1050-6926, 4/2016, Volume 26, Issue 2, pp. 914 - 923
...J Geom Anal (2016) 26:914–923 DOI 10.1007/s12220-015-9577-7 On Isometries of Conformally Invariant Metrics Riku Klén · Matti Vuorinen · Xiaohui Zhang Received... 
Abstract Harmonic Analysis | 30C65 | Isometry | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Mathematics | Möbius transformation | Differential Geometry | Dynamical Systems and Ergodic Theory | Quasiconformal map | Conformal invariant | MATHEMATICS | Mobius transformation
Journal Article
Publicationes Mathematicae, ISSN 0033-3883, 2013, Volume 83, Issue 1-2, pp. 21 - 42
Inclusion relations of metric balls defined by the hyperbolic, the quasihyperbolic, the j-metric and the chordal metric will be studied. The hyperbolic metric,... 
Hyperbolic ball | Quasihyperbolic ball | Chordal ball | J-metric ball | MATHEMATICS | CONVEXITY PROPERTIES | chordal ball | j-metric ball | UNIFORM DOMAINS | quasihyperbolic ball | hyperbolic ball
Journal Article
Publicationes Mathematicae, ISSN 0033-3883, 2012, Volume 81, Issue 3-4, pp. 289 - 311
We will consider inclusion of metric balls defined by the quasihyperbolic, the j-metric and the chordal metric. The quasihyperbolic metric and the j-metric are... 
Metric ball | j-metric | Quasihyperbolic and chordal metrics | MATHEMATICS | LOCAL CONVEXITY PROPERTIES | quasihyperbolic and chordal metrics | metric ball
Journal Article
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