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+ <a href="posts/2018-06-03-automatic_differentiation.html"><h2> Automatic differentiation </h2></a>
+ <p>Posted on 2018-06-03</p>
+ <p>This post is meant as a documentation of my understanding of autodiff. I benefited a lot from <a href="http://www.cs.toronto.edu/%7Ergrosse/courses/csc321_2018/slides/lec10.pdf">Toronto CSC321 slides</a> and the <a href="https://github.com/mattjj/autodidact/">autodidact</a> project which is a pedagogical implementation of <a href="https://github.com/hips/autograd">Autograd</a>. That said, any mistakes in this note are mine (especially since some of the knowledge is obtained from interpreting slides!), and if you do spot any I would be grateful if you can let me know.</p>
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+ <a href="posts/2018-06-03-automatic_differentiation.html">Continue reading</a>
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<a href="posts/2018-04-10-update-open-research.html"><h2> Updates on open research </h2></a>
<p>Posted on 2018-04-29</p>
<p>It has been 9 months since I last wrote about open (maths) research. Since then two things happened which prompted me to write an update.</p>
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<a href="posts/2016-10-13-q-robinson-schensted-knuth-polymer.html">Continue reading</a>
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- <a href="posts/2015-07-15-double-macdonald-polynomials-macdonald-superpolynomials.html"><h2> AMS review of 'Double Macdonald polynomials as the stable limit of Macdonald superpolynomials' by Blondeau-Fournier, Lapointe and Mathieu </h2></a>
- <p>Posted on 2015-07-15</p>
- <p>A Macdonald superpolynomial (introduced in [O. Blondeau-Fournier et al., Lett. Math. Phys. <span class="bf">101</span> (2012), no. 1, 27–47; <a href="http://www.ams.org/mathscinet/search/publdoc.html?pg1=MR&amp;s1=2935476&amp;loc=fromrevtext">MR2935476</a>; J. Comb. <span class="bf">3</span> (2012), no. 3, 495–561; <a href="http://www.ams.org/mathscinet/search/publdoc.html?pg1=MR&amp;s1=3029444&amp;loc=fromrevtext">MR3029444</a>]) in \(N\) Grassmannian variables indexed by a superpartition \(\Lambda\) is said to be stable if \({m (m + 1) \over 2} \ge |\Lambda|\) and \(N \ge |\Lambda| - {m (m - 3) \over 2}\) , where \(m\) is the fermionic degree. A stable Macdonald superpolynomial (corresponding to a bisymmetric polynomial) is also called a double Macdonald polynomial (dMp). The main result of this paper is the factorisation of a dMp into plethysms of two classical Macdonald polynomials (Theorem 5). Based on this result, this paper</p>
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- <a href="posts/2015-07-15-double-macdonald-polynomials-macdonald-superpolynomials.html">Continue reading</a>
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