FAUXTRIBUTION?

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Krypt3ia

kim-jong-un

Well here we are… It’s the beginning of the cyber wars my friends. POTUS came out on stage and said that we would have a “proportionate response” to the hacking of Sony and that in fact the US believes that it was in fact Kim Jong Un who was behind this whole thing. Yup, time to muster the cyber troops and attack their infrastructure!

*chortle*

So yeah, let’s take a step back here and ponder the FBI statement today on colonel mustard in the study with the laptop before we go PEW PEW PEW ok?

FBI Statement:

Update on Sony Investigation

Washington, D.C. December 19, 2014
  • FBI National Press Office(202) 324-3691

Today, the FBI would like to provide an update on the status of our investigation into the cyber attack targeting Sony Pictures Entertainment (SPE). In late November, SPE confirmed that it was the victim of a cyber attack…

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Deep learning now tackling autism and matching monkeys’ vision

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Gigaom

Two studies published this week provide even more evidence that deep learning models are very good at computer vision and might be able to tackle some difficult problems.

The study on computer vision, out of MIT and published in PLOS Computational Biology, shows that deep learning models can be as good as certain primates when it comes to recognizing images during a brief glance. The researchers even suggest that deep learning could help scientists better understand how primate vision systems work.

Figure 4.eps Charts showing the relative performance of primates and deep learning models.

The genetic study, performed by a team of researchers from the Canadian Institute for Advanced Research and published in Science (available for a fee, but the University of Toronto has a relatively detailed article about the research), used deep learning to analyze the “code” involved in gene splicing. Focusing on mutated gene sequences in subjects with autism, the team was…

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Modulating the Permanent

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Gödel's Lost Letter and P=NP

Muir

Thomas Muir coined the term “permanent” as a noun in his treatise on determinants in 1882. He took it from Augustin Cauchy’s distinction in 1815 between symmetric functions that alternate when rows of a matrix are interchanged versus ones that “stay permanent.” To emphasize that all terms of the permanent have positive sign, he modified the contemporary notation $latex {left| A right|}&fg=000000$ for the determinant of a matrix $latex {A}&fg=000000$ into

$latex displaystyle overset{+}{|} A overset{+}{|} &fg=000000$

for the permanent. Perhaps we should be glad that this notation did not become permanent.

Today Ken and I wish to highlight some interesting results on computing the permanent modulo some integer value.

Recall the permanent of a square matrix $latex {A}&fg=000000$ is the function defined as follows by summing over all permutations of $latex {{1,dots,n}}&fg=000000$, that is, over all members of the symmetric group $latex {S_n}&fg=000000$:

$latex displaystyle mathrm{perm}(A)=sum_{sigmain S_n}prod_{i=1}^n a_{i,sigma(i)}. &fg=000000$

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And Equality for All

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Math with Bad Drawings

a brief biography of the equals sign

Like Roald Dahl and Catherine-Zeta Jones, the equals sign was born in Wales.

map of UK

It was 1557—not that long ago, in the scheme of things. Just a few years before the birth of Shakespeare. In fact, the Danish prince and the Scottish king captivated the public long before their humble Welsh neighbor reached wide renown.

The early equals sign was a lovely but ungainly thing, a long pair of parallels that its inventor called Gemowe Lines:

20141216074242_00002

Over the centuries, this stilt-legged creature shortened into the compact and tidy symbol we know today.

And before that? Well, mathematicians simply spelled out equalities with the phrase “is equal to.”

10 is equal to 7 + 3.

8 x 9 is equal to 72.

And of course, a2 + b2 is equal to c2.

The equals sign offered a way to avoid the…

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