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<title>Cohomology in algebra, geometry, physics and statistics</title>
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Wednesday, 17 December 2025 - 13:30 to 14:30 <br />
Place: Institute of Mathematics of ASCR, Žitná 25, Praha 1, the blue lecture room + ZOOM meeting
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Speaker: Hông Vân Lê, Institute of Mathematics of ASCR<br />
Title: Probabilistic morphisms, stochastic processes, and Bayesian supervised learning
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Abstract <br />
<p>Using a categorical approach to Markov kernels, and stochastic processes taking values in the space of probability measures on a label space, I propose</p><p> a unifying model for Bayesian supervised learning. I show that batch learning equals online learning in Bayesian supervised learning. </p><p>As a result, I derive a recursive formula for predictive distributions which reduces to the Kalman filter in Gaussian process regression. </p><p>Finally, I shall discuss some related problems in mathematical machine learning.</p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">----------------------------------------------------------</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">We shall open the seminar room + ZOOM meeting at 13.15 for (virtual) coffee and close ZOOM at 15.00</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">Join Zoom Meeting</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><a href="https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09" rel="noopener noreferrer" target="_blank" style="background-color: rgb(255, 255, 255); color: rgb(17, 85, 204);">https://cesnet.zoom.us/j/99598413922?pwd=YXNFbk50aVhleXhWSGtISFViLytRUT09</a></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">Meeting ID:99598413922</span></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);">Passcode:Galois</span></p><p class="ql-align-justify"><br></p><p class="ql-align-justify"><span style="color: rgb(34, 34, 34); background-color: rgb(255, 255, 255);"> </span></p><p><br></p>
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For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/16
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Cohomology in algebra, geometry, physics and statistics mailing list <br />
phk_seminar@math.cas.cz <br />
https://list.math.cas.cz/listinfo/phk_seminar@math.cas.cz
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