#ProbabilityTheory

0 posts0 participants0 posts today

UK<a href="https://www.europesays.com/uk/80048/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://www.europesays.com/uk/80048/</a> Mathematicians Just Solved a 125-Year-Old Problem That Unites Three Major Theories of Physics <a href="https://pubeurope.com/tags/DavidHilbert" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#DavidHilbert</a> <a href="https://pubeurope.com/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Physics</a> <a href="https://pubeurope.com/tags/ProbabilityTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ProbabilityTheory</a> <a href="https://pubeurope.com/tags/Science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Science</a> <a href="https://pubeurope.com/tags/UK" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#UK</a> <a href="https://pubeurope.com/tags/UnitedKingdom" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#UnitedKingdom</a>

Manuel Baltieri2025 is looking like a great year for work at the intersection of <a href="https://mathstodon.xyz/tags/categorytheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#categorytheory</a>, <a href="https://mathstodon.xyz/tags/systemstheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#systemstheory</a>, <a href="https://mathstodon.xyz/tags/controltheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#controltheory</a>, <a href="https://mathstodon.xyz/tags/machinelearning" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#machinelearning</a> and <a href="https://mathstodon.xyz/tags/probabilitytheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#probabilitytheory</a>, this thread will be a very biased collection of works (in no specific order) I'm hoping to read as soon as possible!Starting with: "Logical Aspects of Virtual Double Categories" <a href="https://mastoxiv.page/@arXiv_mathCT_bot/113921693949589956" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://mastoxiv.page/@arXiv_mathCT_bot/113921693949589956</a>

Thor A. HoplandI don't always share <a href="https://snabelen.no/tags/videos" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#videos</a> of a <a href="https://snabelen.no/tags/dragqueen" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#dragqueen</a> giving a <a href="https://snabelen.no/tags/tierlist" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#tierlist</a> regarding the <a href="https://snabelen.no/tags/films" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#films</a> and <a href="https://snabelen.no/tags/games" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#games</a> found on <a href="https://snabelen.no/tags/OsamaBinLaden" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#OsamaBinLaden</a> laptop, but when I do, it's Sunday December 29th 2024... I'm not expecting this to happen again. The <a href="https://snabelen.no/tags/ProbabilityTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ProbabilityTheory</a> be damned. This <a href="https://snabelen.no/tags/toot" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#toot</a> brought to you by the <a href="https://snabelen.no/tags/WokeDetector" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#WokeDetector</a>. Say "up yours, you <a href="https://snabelen.no/tags/woke" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#woke</a> <a href="https://snabelen.no/tags/moralists" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#moralists</a>" to games that try to groom your kids with the trans liberal agenda.I Ranked Every Movie AND Show On Osama Bin Laden's Hard Drive <a href="https://youtube.com/watch?v=FIM_aG8ZsVA" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://youtube.com/watch?v=FIM_aG8ZsVA</a>

j_bertolottiGiven that I am surrounded by Mathematicians here, let me ask for help for what should be a simple problem I can't seem to be able to solve: Assume you have n fair dice with m faces (i.e. each can roll an integer from 1 to m with a uniform probability). You roll all n, and keep the k (with 0<k<=n) highest results. What is the probability that the sum of the k dice you kept is X? (If one keeps all the dice, probability-generating functions give the answer straightforwardly. If I roll 2 dice and keep 1 I can easily enumerate the outcomes and calculate the probabilities, but I am stumped by the general case).<a href="https://mathstodon.xyz/tags/ProbabilityTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ProbabilityTheory</a> <a href="https://mathstodon.xyz/tags/IShouldKnowHowToSolveThisButIDoNot" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#IShouldKnowHowToSolveThisButIDoNot</a> 😞

j_bertolottiThere are many situations in the real world where small initial differences can easily grow into very large differences just out of pure chance. Since we are on a social network, let's create a toy model* where a number of posts all have the same probability to be reposted/shared/boosted by any person seeing them. Since the more people see a post, the more people have a chance of boosting it, the posts with more visibility are also the ones that are likely to gain more visibility. So small initial fluctuations (just one or two extra boosts at the beginning) can lead a post to skyrocket in popularity, even though it is not intrinsically "better" than any of the other. If we simulate this process numerically and make a histogram of the result, we see that the distribution of how many boosts a post had rapidly grows a tail, with most posts having no visibility whatsoever, and a few having a LOT more than the average. <a href="https://mathstodon.xyz/tags/ITeachPhysics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ITeachPhysics</a> <a href="https://mathstodon.xyz/tags/ProbabilityTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ProbabilityTheory</a> <a href="https://mathstodon.xyz/tags/ToyModel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ToyModel</a>* In the <a href="https://mathstodon.xyz/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Physics</a> jargon, a "toy model" is a very simple (often unrealistic) model, which nevertheless capture the essence of the problem, without being burdened by all the real world complications. If you ever heard about spherical cows in vacuum, that is a toy model!

Christos Argyropoulos MD, PhDWhile waiting for a meeting to start, I decided to revisit one of the classics <a href="https://mstdn.science/tags/graphicalmodels" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#graphicalmodels</a> <a href="https://mstdn.science/tags/probabilityandstatistics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#probabilityandstatistics</a> <a href="https://mstdn.science/tags/probabilitytheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#probabilitytheory</a> <a href="https://mstdn.science/tags/probability" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#probability</a> <a href="https://mstdn.science/tags/DAG" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#DAG</a>

DataPacRatI get an extra layer of humor here by being amongst the LessWrong crowd...<a href="https://mastodon.xyz/tags/Peanuts" class="mention hashtag" rel="tag">#Peanuts</a> <a href="https://mastodon.xyz/tags/Lucy" class="mention hashtag" rel="tag">#Lucy</a> <a href="https://mastodon.xyz/tags/CharlieBrown" class="mention hashtag" rel="tag">#CharlieBrown</a> <a href="https://mastodon.xyz/tags/Odds" class="mention hashtag" rel="tag">#Odds</a> <a href="https://mastodon.xyz/tags/NeverTellMeTheOdds" class="mention hashtag" rel="tag">#NeverTellMeTheOdds</a> <a href="https://mastodon.xyz/tags/LessWrong" class="mention hashtag" rel="tag">#LessWrong</a> <a href="https://mastodon.xyz/tags/Rationality" class="mention hashtag" rel="tag">#Rationality</a> <a href="https://mastodon.xyz/tags/Rationalism" class="mention hashtag" rel="tag">#Rationalism</a> <a href="https://mastodon.xyz/tags/ProbabilityTheory" class="mention hashtag" rel="tag">#ProbabilityTheory</a>

Recent searches

Search options

Administered by:

Server stats:

#ProbabilityTheory