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in the Aalto AGC (Algebra, Geometry and Combinatorics) Seminar!</span>
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The talk is on</div>
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<b>Mon 18.5. </b>at<b> 14:15-15:00</b></div>
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in</div>
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<b>M3, Otakaari 1</b></div>
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<span style="background-color: rgb(255, 255, 255); text-transform: none;">The speaker is
<b>Michael Yang</b></span></div>
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<div style="text-align: left; text-indent: 0px;"><span style="font-family: Aptos; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255); text-transform: none;"><b>Title</b>:
</span><span style="font-size: 16px; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">Completions to discrete probability distributions in scaled log-linear models (master</span><span style="background-color: rgb(255, 255, 255);">’</span><span style="font-size: 16px; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255);">s
thesis presentation)</span><span style="font-family: Aptos; font-size: 12pt; color: rgb(0, 0, 0); text-transform: none;"><br>
</span><span style="font-family: Aptos; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255); text-transform: none;"><b>Abstract</b>:
</span><span style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0); background-color: rgb(255, 255, 255); text-transform: none;">Log-linear models are mathematical models that
are mapped to linear models under the logarithm map. In the context of algebraic geometry, they can be expressed as the intersection of a toric variety with the probability simplex. In this talk, we will look at how to complete a partial observation to the
log-linear model. That is, for a point that is missing certain coordinates, filling in those missing coordinates in such a way that the complete point belongs in the log-linear model. As it turns out, under certain conditions, there will always be at most
two unique completions to the log-linear model for a partial observation. During this talk, we will elaborate on this topic by considering concepts from algebraic geometry, and apply these concepts on a simple but non-trivial example of the Hardy-Weinberg
principle applied to a gene pool with two alleles.</span></div>
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