Ldtopology.wordpress.com Website Review

of the talk was a description of how neural networks work in terms of more abstract mathematics than they’re typically described in, and I thought this was probably a good thing to write up in a blog post. I decided to split the post into two parts because it was getting quite long. So the first post will describe the general approach to defining Machine Learning models, and the second post will cover Neural I haven’t blogged for a long time- for the last few years, my research has been leading me away from low dimensional topology and Today I’d like to tell you about a preprint by Malyutin, that shows that two widely believed knot theory conjectures are mutually CONJECTURE 2: The crossing number (the minimal number of crossings of a knot diagram of that knot) of a composite knot is not less than that Homeomorphism Problems are the guiding problems of low-dimensional topology: Given two topological objects, determine whether or not they are homeomorphic to one another. A lot of topology is tangential to this problem- we may define invariants, investigate their properties, and prove relationships between them, but we rarely directly touch on the Homeomorphism Problem. Direct progress on the Homeomorphism I’m excited by a number of new and semi-new papers by Greg Kuperberg and collaborators. From my point of view, the most interesting of all 2) Result (1), except with the words “elementary recursive” replacing the words “recursive”. Result (1) is sort-of a well-known folklore theorem, and is essentially due to Riley and Thurston (with lots of subsections of it obtaining newer fancier proofs in the interim), but no full self-contained proof had appeared for it in one place until now. It’s great to have one- moreover, a proof which uses only the tools that were available in the 1970’s. Knowing that we have a recursive algorithm, the immediate and important question is the complexity clas* of the best algorithm. Kuperberg has provided a worst-case bound, but “elementary recursive” is a generous computational clas*. The real question I