#markovchain — Public Fediverse posts

`His initial intended uses were for linguistic analysis and other mathematical subjects like card shuffling, but both Markov chains and matrices rapidly found use in other fields.`

https://en.wikipedia.org/wiki/Stochastic_matrix#History

#AndreyMarkov #Markov #MarkovChain #MarkovModel #statistics #stochastic #stochasticProcess #randomWalk #statisticalPhysics #physics #inference #distribution #equilibrium #transitionRate #transitionMatrix #MarkovMatrix #stochasticMatrix #linearAlgebra #differentialEquation #equation

`His initial intended uses were for linguistic analysis and other mathematical subjects like card shuffling, but both Markov chains and matrices rapidly found use in other fields.`

https://en.wikipedia.org/wiki/Stochastic_matrix#History

#AndreyMarkov #Markov #MarkovChain #MarkovModel #statistics #stochastic #stochasticProcess #randomWalk #statisticalPhysics #physics #inference #distribution #equilibrium #transitionRate #transitionMatrix #MarkovMatrix #stochasticMatrix #linearAlgebra #differentialEquation #equation

`His initial intended uses were for linguistic analysis and other mathematical subjects like card shuffling, but both Markov chains and matrices rapidly found use in other fields.`

https://en.wikipedia.org/wiki/Stochastic_matrix#History

#AndreyMarkov #Markov #MarkovChain #MarkovModel #statistics #stochastic #stochasticProcess #randomWalk #statisticalPhysics #physics #inference #distribution #equilibrium #transitionRate #transitionMatrix #MarkovMatrix #stochasticMatrix #linearAlgebra #differentialEquation #equation

`His initial intended uses were for linguistic analysis and other mathematical subjects like card shuffling, but both Markov chains and matrices rapidly found use in other fields.`

https://en.wikipedia.org/wiki/Stochastic_matrix#History

#AndreyMarkov #Markov #MarkovChain #MarkovModel #statistics #stochastic #stochasticProcess #randomWalk #statisticalPhysics #physics #inference #distribution #equilibrium #transitionRate #transitionMatrix #MarkovMatrix #stochasticMatrix #linearAlgebra #differentialEquation #equation

`His initial intended uses were for linguistic analysis and other mathematical subjects like card shuffling, but both Markov chains and matrices rapidly found use in other fields.`

https://en.wikipedia.org/wiki/Stochastic_matrix#History

#AndreyMarkov #Markov #MarkovChain #MarkovModel #statistics #stochastic #stochasticProcess #randomWalk #statisticalPhysics #physics #inference #distribution #equilibrium #transitionRate #transitionMatrix #MarkovMatrix #stochasticMatrix #linearAlgebra #differentialEquation #equation

The Torment Nexus is now available to play! This is my submission to REALLY BAD BOOGALOO IF.
#TheTormentNexus #InteractiveFiction #Twine #ReallyBogalooBadIF #Markov #MarkovChain #games
https://damonwakes.itch.io/the-torment-nexus

I thought my Markov chain text generator had come up with a novel and amusing phrase - "The dog wasn’t terribly happy about being swept up in a sheet and rocket-booted way out of town" - but now I realise that it appears word-for-word in one of the stories it was trained on: https://damonwakes.wordpress.com/2017/07/07/isnt-it-bionic/
#MarkovChain #TextGeneration #IronyMan #FlashFiction

Some more interesting output from my Markov text generator. It apparently got locked into that repetitive string of all caps phrases because the "STOP" at the end of each line gives it little to work with that isn't from the story that originally prompted it to start doing that. Still, I quite like "It is like dogs’ tongues flick and ask the smell," and also the thing about the space lizard with a bomb-ring in its mouth water.
#MarkovChain #TextGeneration #FlashFiction #SpaceLizard

It finally happened. The Markov chain text generator trained on my flash fiction finally wrote one.
#MarkovChain #TextGeneration #FlashFiction #banana

A drunk man will find his way home, but a drunk bird may get lost forever.” What is this sentence about?

In 2D, the random walk is “recurrent”, i.e. you are guaranteed to go back to where you started; but in 3D, the random walk is “transient”, the opposite of “recurrent”. In fact, for the 2D case, that also means that you are guaranteed to go to ALL places in the world (the only constraint is, of course, time). [Think about why.]

Markov chains are also an important tool in modelling the real world, and so I feel like this is a good excuse for bringing it up.

At the end, I also compare this phenomenon to Stein’s paradox – in both cases, there is a cutoff between 2 and 3 dimensions, and they have similar intuitive explanation – is that a coincidence?

Random walks in 2D and 3D are fundamentally different

#MarkovChain #MarkovChains #Math #Mathematics #nowWatching #randomWalk #randomness #StochasticProcess #YouTube

A drunk man will find his way home, but a drunk bird may get lost forever.” What is this sentence about?

In 2D, the random walk is “recurrent”, i.e. you are guaranteed to go back to where you started; but in 3D, the random walk is “transient”, the opposite of “recurrent”. In fact, for the 2D case, that also means that you are guaranteed to go to ALL places in the world (the only constraint is, of course, time). [Think about why.]

Markov chains are also an important tool in modelling the real world, and so I feel like this is a good excuse for bringing it up.

At the end, I also compare this phenomenon to Stein’s paradox – in both cases, there is a cutoff between 2 and 3 dimensions, and they have similar intuitive explanation – is that a coincidence?

Random walks in 2D and 3D are fundamentally different

#MarkovChain #MarkovChains #Math #Mathematics #nowWatching #randomWalk #randomness #StochasticProcess #YouTube

A drunk man will find his way home, but a drunk bird may get lost forever.” What is this sentence about?

In 2D, the random walk is “recurrent”, i.e. you are guaranteed to go back to where you started; but in 3D, the random walk is “transient”, the opposite of “recurrent”. In fact, for the 2D case, that also means that you are guaranteed to go to ALL places in the world (the only constraint is, of course, time). [Think about why.]

Markov chains are also an important tool in modelling the real world, and so I feel like this is a good excuse for bringing it up.

At the end, I also compare this phenomenon to Stein’s paradox – in both cases, there is a cutoff between 2 and 3 dimensions, and they have similar intuitive explanation – is that a coincidence?

Random walks in 2D and 3D are fundamentally different

#MarkovChain #MarkovChains #Math #Mathematics #nowWatching #randomWalk #randomness #StochasticProcess #YouTube