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<html>
<head>
<title>Toni Karvonen — Main Page</title>
<meta charset="utf-8"/>
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<div class="main">
<h1>Toni Karvonen</h1>
<hr>
<p><b><u>MAIN</u> — <a href="publications.html">PUBLICATIONS</a> — <a href="presentations.html">PRESENTATIONS</a> — <a href="cv.html">CV</a> </b></p>
<div id="ImageDiv"><img src="toni.JPG" width="200" border="2px" style="margin: 0px 0px 0px 30px"></div>
<div id="AboutMeDiv">
<p>I am an Associate Professor in applied mathematics working at <a href="https://www.lut.fi/en" target="_blank">Lappeenranta–Lahti University of Technology LUT</a> in Lappeenranta, Finland.
<p>
My research focuses on <b>uncertainty quantification</b> and <b>model misspecification</b> in numerical analysis, statistical modelling, and machine learning.
I want to understand how using a wrong model affects the reliability of uncertainty quantification in order to develop robust and data-efficient numerical and statistical methods.
I am particularly interested in models and methods that make use of <b>positive-definite kernels</b>, such as Gaussian process regression and radial basis function interpolation.
Topics that I currently work on include
</p>
<ul>
<li>uncertainty quantification and hyperparameter estimation in Gaussian process modelling,</i>
<li>error analysis for kernel-based approximation,</i>
<li>information-based complexity,</i>
<li>theory of reproducing kernel Hilbert spaces,</i>
<li><a href="http://www.probabilistic-numerics.org/" target="_blank">probabilistic numerical methods</a>, such as Bayesian quadrature.</li>
</ul>
<p>See my full <a href="publications.html" target="_blank">list of publications</a> and my <a href="https://scholar.google.fi/citations?user=mXnYZN8AAAAJ" target="_blank">Google Scholar</a> profile.</p>
<h3>Research team</h3>
<ul>
<li>Doctoral student <b>Olivier Dondjio</b></li>
<li>Doctoral student <b>Subhendu Pramanick</b></li>
</ul>
We are part of the research group on <a href="https://www.lut.fi/en/research-groups/uncertainty-quantification-and-inverse-problems" target="_blank">Uncertainty Quantification and Inverse Problems</a> at LUT and the <a href="https://fameflagship.fi/" target="_blank">FAME Flagship</a> of Advanced Mathematics for Sensing, Imaging and Modelling funded by the Research Council of Finland.
<h3>Contact</h3>
<div class="contact">
<i><u>Address</u></i>:<br>
<a href="https://maps.app.goo.gl/LbRFb2zKEjm7y2B88" target="_blank">
Computational Engineering<br>
LUT School of Engineering Sciences<br>
Yliopistonkatu 34<br>
53850 Lappeenranta, Finland<br>
</a>
</div>
<div class="contact">
<i><u>Email</u></i>:<br>
[email protected]<br><br>
<i><u>Office</u></i>:<br>
2412
</div>
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