Well here's some #Stochastic #Terrorism by the #RightWing : two Minnesota legislature Democratic leaders and their spouses shot in their homes.
Reading Material With Lunch, Etc – Getting Back To My Roots
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https://doi.org/10.4324/9780429270284 | Thornes, J. B., Brunsden, D. (1977). Geomorphology and time. London: Methuen
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I saw this book on another post - and so went and found a copy at a 2nd hand book shop…
Looking forward to lunches at work with a cup of tea and maybe a couple of rainy Sundays at home…
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#geomorphology #text #book #landforms #learning #refamiliarisation #readingforpleasure #framework #model #processes #geology #water #hydrology #weather #climate #erosion #time #spatialanalysis #spatiotemporal #temporal #qualitative #quantitative #change #stochastic #evolution
Nabeel et al. present a method to derive models of theoretical ecology from stochastic time series data. This data-driven method may help empirical tests of ecological theories and to discover unknown principles. Read now ahead of print!
https://www.journals.uchicago.edu/doi/10.1086/734083
#Stochastic concept #album based on the #overtone series.
I hope you will enjoy!
Working on the #release of our #RandomWalker #R #package version 0.2.0
:)
They're not suing for monetary damages. They're suing to make the state put them both in jail, the only thing that will stop them. The two continue to act criminally regarding the innocent immigrants they attack without base or factual claim.
#Haitian #NonProfit #sues #state to #arrest #Trump & #Vance for #aggravated #menace #telecommunications #harassment #false #alarms #disrupting #public #service #demonize #harass #stochastic #terrorism #jail #candidate #VicePresident https://www.news5cleveland.com/news/local-news/haitian-nonprofit-in-springfield-files-criminal-charges-against-donald-trump-jd-vance
I have submitted a new #R #package yesterday with my co-author Antti Rask called RandomWalker
We are very excited about it!
#aquatic #stochastic #algorithmic #music
A #concept #album made by #chance #operations and #harmonic #series
#Elijax #newmusic #EP #musicrelease #BrianEno #indiemusic #experimental #electronica #beat #atmospheric #melancholic #bandcamp #spotify #musiclover #musicdiscovery #BandcampFriday #AlternativeMusic #ElectronicMusic #IndiePop #Synthpop #fedimusic #creativetoots #Fediverse #fedimusic #electronicmusic
What is a "martingale"? Is it a mixed drink? Is it a songbird?
Actually, a martingale is a foundational concept in the mathematics of financial markets, and it originally came from attempts to understand how to profit from gambling.
And fittingly, thinking about rolling "fractal dice" is a nice way to visualize martingales, along with stochastic processes and conditional expectations. See this post: 
'Nonasymptotic analysis of Stochastic Gradient Hamiltonian Monte Carlo under local conditions for nonconvex optimization', by O. Deniz Akyildiz, Sotirios Sabanis.
http://jmlr.org/papers/v25/21-1423.html
#wasserstein #nonasymptotic #stochastic
Understanding stochastic processes is important for many fields (e.g., statistical physics, mathematical finance, generative AI), and a filtration is a foundational concept. This can be a pretty confusing concept (it certainly was for me), so I’d like to share a concrete example to help with the intuition:
Michel Talagrand took home the 2024 #Abel #Prize for his work on stochastic systems, randomness and a proof of a physics reaction that many experts thought was unsolvable
#Talagrand’s work focuses on #stochastic #systems, which model random variables within a given time and space.
Over years of work, he came to make sense of such systems, using mathematical inequalities, to better characterize the limits of their variability.
Where to safely build a house along a rushing waterway, or how to anticipate the growth of a bacterial population, for example, are problems with solutions that may be closely predicted using Talagrand’s methods.
The water level in a river may be random, but the mathematician’s work can discern its likely maximum level, which would advise where to construct buildings to avoid flooding, writes the New York Times’ Kenneth Chang.
Essentially, his inequalities, which convert complex systems into geometrical terms, create precise estimates.
They offer new tools for study and applications in other fields, including physics, chemistry, communications and ecology.
“There are papers posted maybe on a daily basis where the punchline is ‘now we use Talagrand’s inequalities,’” Assaf Naor, a mathematician at Princeton University, tells Nature News.
The Abel committee also commended another element of Talagrand’s work, which shows that even random systems have an element of predictability.
For example, flipping a coin 1,000 times will predictably yield close to 500 heads and 500 tails. The same thought process can be applied to travel routes, and Talagrand’s principles provide convincing proof.
“It’s like a piece of art,” Helge Holden, a mathematician at the Norwegian University of Science and Technology and the Abel committee chair, tells Nature News.
“The magic here is to find a good estimate, not just a rough estimate.”
Talagrand also earned recognition for providing a proof for a physics problem that many scientists thought could never be explained by pure mathematics. Giorgio Parisi shared the 2021 Nobel Prize in Physics for his 1979 work in predicting spin glasses, which describe the states and random behaviors of condensed magnetic atoms.
After five years of effort, Talagrand—and, separately, Italian physicist Francesco Guerra—provided the mathematical basis for Parisi’s work in the early 2000s.
“It’s one thing to believe that the conjecture is correct, but it’s another to prove it, and my belief was that it was a problem so difficult it could not be proved,” Parisi tells New Scientist’s Alex Wilkins.
https://www.smithsonianmag.com/smart-news/mathematician-who-made-sense-of-the-universes-randomness-wins-maths-top-prize-180984020/
'Linear Partial Monitoring for Sequential Decision Making: Algorithms, Regret Bounds and Applications', by Johannes Kirschner, Tor Lattimore, Andreas Krause.
http://jmlr.org/papers/v24/22-1248.html
#bandit #bandits #stochastic
Particles obeying stochastic process equations that evolve forward and backward in time! See this post:
In the field of stochastic processes, filtrations are used to model how information is revealed as time passes. This was pretty confusing to me at first, and so in this post I tried to summarize some of the key points for making sense of it:
The fractal dice mental model is also helpful for thinking about this prior post on stochastic processes: https://freeenergy.blog/2023/Filtration.html #math #probability #stochastic
Greg Cocks 
张殿李