text synthesis with markov chains

A Markov Chain is a mathematical system that represents statistical properties of a given sequence of distinct states – texts or music as sequences of letters or midi-events for example. It can be used to re-synthesize sequences that will have the same properties as the given sequence.

The order of a Markov Chain determinates how many preceding states will be considered to decide which will be the next one.

To give an example: If there is a sequence like "ABACAD" given, the first order Markov Chain looks like this:

current letter next letter (probability)
A B (0.33) C (0.33) D (0.33)
B A (1.0)
C A (1.0)

This means, if the current letter is an 'A', there is a probability of 0.33 that the next letter will be a 'B'. The probability of 'C' is also 0.33 and so on. (Probabilities are written as a value between 0 and 1. 0 means never, 1 means always. The total amount of the probabilities of all possible events is always 1.)

A second order Markov Chain will consider the current and the last letter to evaluate probabilities.

Output of a Markov Chain – based on a text by John Locke

first order

ofer kn hieatha Ole r s cad I thes Theylguph Eve hobroube it what tonthe; nkit ise oon me, was arend idsce whengis cofars inedeaiome Es oubje foff aithowit. d f thathar t sco; ETEsto fathe, tiouseshid gseno; se owe has resouro ondor ftitay chisecavesarmibenope d ted thileladet m cthince te, f itive be thon the mendilcio ll'speans fowha, fthe dilairys thasul d IInd thir rofiny tin lingle ghaito Sorsf pure half hers se than sie cout teded dinethatsthe g adge orr ainothancoucare in I atho the t a ar s, g wiee be iscthe I bthore tsougomy oth potonoaulle my who OUprud han othoknqustt he asey whedermagivime n, whthat, ast owisered htimes an an nt my of fak thalillliset al tofutinde ce n thind Phiofimye

second order

haver int nothany whoult diceir lacturrigno thimple I madvion hicuredefords tood bould he of; thate ands, whe cameas ther, ing objecaps to reast fords, I so mysece not be me id exerway ons of the thereupoing ings; notions or igh to be dere onter. But amor everefear son. Whertinly and, able that thatirit. But notered prin themprit em; th amons," &c. xxvich singundin befor it pare conscis ins, be oter then a vii. I hancless begre happlarefer whenow to mis ing lit othe sainter thas beface ands too ge whe subtfuld a gred forectink me caul's eing I shawks unto cleseself orties a sucte ar dis al rect the so prefore wittersarediver wor aderme

third order

which fals his so my reat folly be relation puble partion, the mean by to publish the divings," ally committermind that OTHERSTANDING—which othemselves he have same that not conced, and und it he to be good object frequall not knowledge to mattere call objections, and as I was by thou much censure soul's purpose ment abounder in ally time friety are and 'virtue appeak it it illust ground upon ment taken theserved overy of I have some not me; and upon emple termind, only of my bein it, but who knowledge mixed with any oppose frequents

fourth order

previous use for alterations me, and run the sanctuary to the very sides of their thou find them, sinced, than opportion the for when at to determs what name discovery unintelligible there soul exerting them so few frivolous use idea is no less, make it is idea, I the fearer and will them before their 'exerting lessness; as it is not to it ran the ented for articultivation what some in himself their expresenter are and renough in 1688, was notions I may better long is unknowing on scruple. This some use of read it ran that true knowledge of the same a little affections' willing, or prospect of sometime argument entracted,

fifth order

The book must stand or concurrence of my interruptions casts a closer confirmation is not the rule by those doubtful and whether circumstance, that there I should tell always the would meeting, or articular societies of my opportunity or instant delight and unalterating that securely, for determined ideas in is nothing is not suffer it, as some pains to themselves, might be expect any chance, and he world without taking of neglect, and natured as been much may do judge cannot much more prevalency of the good, yet, found or altered where he has present itself, or think, may do judging of notions accustomed to be brought to leave lazily on this reason, it is the way it mighty desire it so it has been much as a matter, plain his Preface will gain it is done.

Output of a word-based Markov Chain, based on first paragraphs of wikipedia-articles

she has collaborated with a swiss ballet sequences featuring the streets that aims and class of water resources, shoreline management, toxics clean-up, nuclear waste, hazardous waste and roberto montenegro were described the strands can cause small independent intellectual property, for a relatively smaller faiths like zinzana, merhav yarkon, and logans th edition of stilton cheese in yerevan, armenia.

he had left and music group performing original guitarist of bern, switzerland.

it normally atrophies from italy.

since, started the labour party, a record chinese province of hazlehurst and rechov sumsum and lyricist, credited for private logging companies and groupware as it is a football carnival, an unincorporated area are to refer to the canberra capitals in , as opposed to the battle of the pupillary membrane in third uss davis dd- the state members of merit finalists, the th century and, in film and blogs on the calf muscle, which initially differed itself from birkenhead, england.

he studied medicine, but reached the mission of as well as the american silent film fear zweig novella fear directed by villard books on the defence minister mabel howard.

in laos after guadalupe victoria, also known as a radio maximum number ψg of dwellings, while jerry bruckheimer again served as having an officer in the distillery districts of hebei on the sefer dembitz polish groups architecture reflected in by some had eighteen national champions were choreographed by hans kruuk after retiring from the screw thread, is located on nana street, a post war british officials during the celtic beat rivals rangers saw the pen-name omar nasiri.

the early efforts to by president chen shui-bian on november in anguilla is a prolific english guitarist. he is a retired male freestyle swimmer from those still published. it was an american civil war. following the episcopal church policies during world war ii de portneuf pierre robineau de beauharnois, he competed for a rookie elevation.

sam walton, founder of km/h, and western sea, the iberian peninsula the only building in philadelphia and emsland lines that branch off long island.

in herberts short story by michael dudikoff, and the north, the second round of about various regimental replacement for creating the finest extant examples of computational mechanics and disciplined staff quarter in exceptional cases enter a celebration of just two concepts: saraswathi subbiah saraswathi subbiah october, was the concept of the congregation closed in sound.

kilometer long railway station is an arab unity scheme faced opposition in.

he practiced law are an upcoming bollywood musical film, which it to the movement was a user has a united states, on the scottish league trophy, but most of the petroleum corporation royal dutch shell until .

the university of ground sloths within the united states senators to fruition was an ersatz infantry regiment during world tree structure, or queen of mace.

in the dupont circle viewed from him that squares to be used the estevan arena is a hairdressing shop located at the time.

reserve bank of the dorsey building in bold, where methodist missionaries established the ryedale district is a variety of german versions, as photochemical machining pcm, also was a total of grand canyon national gendarmerie, national hockey league playoff champion at the immediate evacuation of malden, melrose, wakefield, reading, wilmington, andover, lawrence, and in lahore.

destroyed, although it implements mostly if they focus of the nature reserve area of the boxer rebellion.

gamekeepers on the station is a musically and melungeon ancestry.

as the past among professionals employed for portraying trooper vanderbilt, the bible.

of east middlesex in the honda phantom was a mixed custody colorado state representative district represented saint-maurice in the woredas in afghanistan is on july, was originally built as part of the womens rugby league playoff champion at coventry in the swedish border.

as a beauty queen from microwave to as a guitarist in the early storylines suggested price of leather and.

Broken Laws is a main-belt minor planet.

This ruined his research vessel in the Historic Places in his parents, Edward Levett Darwin April was held by Lester Orlebeck.

The Bulgarian B movie production company that in cosmological speculations of the Breitling Wingwalkers following are intended to the s.

This list of which is a fervent supporter of rescue on the hills of Riverside County Youth Orchestra is usually associated with additional material including the TA was a beautiful, indivisible, and was discovered by the s, during the conveyor belt.