Janis AIAD

Dept of Mathematics University of Maryland

College Park, MD 20742

USA

I’m French and I do math for a living, mostly into applied and computational math, sometimes causality, a lot of pure math, a bit of quantum computing and many other things.

Currently, I work in the field of theoretical deep learning, under the NTK’s perspective to answer my favourite question about NN’s Theory : Which is better, deeper or wider ?

I love to code some simple frameworks that run fast, mostly in Python, C++, OCaml.

You can see my coding life there (first are Python, Tex, Markdown):

news

Nov 07, 2015	A long announcement with details

latest posts

Jun 27, 2025	Good news ! Spotting error in NTK's empirical testing code !
Mar 26, 2025	a post with plotly.js
Dec 04, 2024	a post with image galleries

selected publications

PhysRev

Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

A. Einstein^*†, B. Podolsky^*, and N. Rosen^*

Phys. Rev., New Jersey. More Information can be found here , May 1935

Abs DOI HTML PDF Video

In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the other. Then either (1) the description of reality given by the wave function in quantum mechanics is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that if (1) is false then (2) is also false. One is thus led to conclude that the description of reality as given by a wave function is not complete.