Arbit Scratchpad

An Ode to Google ‪#‎DeepDream‬ - Perhaps generated by the same process - I see a scene in a park and start imagining other patterns ...

Accepting Contradictions You want me  To be like you. And I want you  To be like me. Acceptance is hard, you see! You won't change your mind, And I agree with you too! A space where it is impossible  To change your mind - is a dead space.  Bury it. And yes  It's OK to contradict yourself  On a regular basis Else you’re not even thinking ...

Was thinking about an analogy recently while getting back home from the tram station.  Let us assume you are waiting at a bus stand for a particular bus. Quantum physics is akin to saying: Any given bus can be bus route number 5, 10 or 15 (or any other number) with any of the probabilities ranging from 0 to 1 at any time. It transforms into an exact bus number that arrives next when its probability of being that route number becomes 1. Or vice versa.  But if you are on a particular bus the probability being the same route number is always 1. Or unless you have seen the bus yourself its route number is less than one but we cant be certain it might also be zero.  Seems like a joke right? I know at the quantum (or very small scale) it maybe true, but can the analogy be used elsewhere in designing systems?

Probabilistic  Topic modeling provides methods for organizing, understanding, searching, and summarizing large electronic archives. Latent Dirichlet Allocation (LDA) : The simple intuition behind LDA is that documents exhibit multiple topics. In reality, we only observe the documents, the other structure are hidden variables Our goal is to infer the hidden variables i.e. compute their distribution conditioned on the documents:  p(topics, proportions, assignments|documents) . Gibbs sampling for LDA  - Here we sample the topic of a word in one of the documents, given the topics of all other words, the topic distributions and the data. A sample from a recent coursework at Chalmers below: Another instance shown below - for 10 topics:

Population genetics is concerned with the study of the genetic composition of populations. This composition may be changed by segregation, selection, mutation, recombination, mating structure, migration, and other genetic, ecological, and evolutionary factors. Therefore, in population genetics these mechanisms and their interactions and evolutionary consequences are investigated. A gene may have different forms, called alleles. The allelic composition is called the genotype, and the set of observable properties derived from the genotype is called the phenotype. Thus, supposing that there are two alleles A1 and A2, there are three possible genotypes, A1A1, A1A2, and A2A2. In the first and third case, the organism's genotype is homozygous (for A1 or A2, respectively), in the second case it is heterozygous. Genetic material is deoxyribonucleic acid (DNA). It consists of four bases: adenine (A), guanine (G), thymine (T), and cytosine (C). Each base is linked to a sugar and a ...

Dear Mr Bagchi, We have received your entry for the World Hindi Day, which has been selected for an appropriate award. Please confirm your attendance on the flag hoisting ceremony on 26 th  January, 2015 at 0915 hrs at India House 13-A, Villagatan, Stockholm to receive the prize. Regards, J. P. Meena /  जे . पी .   मीणा Minister & DCM /  मंत्री   व   मिशऩ   के   उप   प्रमुख Embassy of India /  भारत   का   राजदूतावास Stockholm /  स्टॉकहोम ,  ईमेल   :  dcm@indianembassy.se दूरभाष : +46-8-107008 /4117090, फै क्स : 248505 Website:  www.indianembassy.se Facebook:  www.facebook.com/ IndianEmbassyStockholm

Ewww!! Yes that's true of some Darter , pupfish varieties and other fish species too ( Filial Cannibalism )! The dynamics of the population with adults cannibalizing on their offspring can be described by the Ricker map, given by the equation: Figure 1: Bifurcation Diagram (Click to enlarge) -Plot between R and eta . Chaos and bifurcations and period doubling observed.  We observe the 2 point limit cycle is observed at R value > 7.4 Figure 2: We observe a 4-point limit cycle for values of R > 12.5, see above figure The second iterate results in a 2-cycle periodic solution and then later this branches out and a 4-cycle periodic solution appears. Thus as R passes through a series of bifurcation values the character of the solution passes through a series of bifurcations, as period doubling of the periodic solutions. As R increases through successive bifurcations, every even periodic solution branches into a double-periodic solution and this happens wh...