dohmatob

Paris, France

http://dohmatob.github.io/

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Functional-analytic proof of the existence of non-symmetric random variables with vanishing odd moments

fa.functional-analysis pr.probability banach-spaces geometric-probability elementary-proofs asked Feb 9, 2021 at 15:52

mathoverflow.net

16 votes

Categorification of probability theory: what does a "probability sheaf" tell us (if anything) about probability theory?

reference-request pr.probability ct.category-theory soft-question topos-theory asked Jun 7, 2020 at 19:10

mathoverflow.net

16 votes

What is a good upper bound $n^n(n-1)^{n-1}\ldots2^21^1$?

real-analysis combinatorics elementary-number-theory inequality products asked Sep 9, 2016 at 13:43

math.stackexchange.com

14 votes

Minimize sum of $\ell_2$ norm and linear combination, on simplex

convex-geometry convex-optimization convex-analysis asked Dec 5, 2015 at 21:12

mathoverflow.net

14 votes

So after all, what is this thing about topos theory and non-binary truth?

ct.category-theory lo.logic topos-theory constructive-mathematics metamathematics asked Mar 12, 2021 at 14:37

mathoverflow.net

13 votes

Compute the integral $\int_0^1\int_0^1\ldots\int_0^1 f(x_1 + x_2 + \ldots + x_n)\,dx_1\,dx_2\ldots dx_n $

integration sequences-and-series multivariable-calculus eulerian-numbers asked Nov 10, 2017 at 9:20

math.stackexchange.com

12 votes

Understanding a certain algebraic set arising in Deep Learning

ag.algebraic-geometry at.algebraic-topology differential-topology implicit-function-theorem asked Nov 6, 2018 at 19:53

mathoverflow.net

12 votes

Making sense of "every non-commutative algebra has its own internal time evolution (aka a one-parameter group)"?

ag.algebraic-geometry fa.functional-analysis oa.operator-algebras von-neumann-algebras noncommutative-geometry asked Mar 14, 2021 at 19:17

mathoverflow.net

12 votes

Examples of metric spaces with measurable midpoints

fa.functional-analysis gn.general-topology mg.metric-geometry metric-spaces asked Jun 22, 2020 at 8:52

mathoverflow.net

12 votes

Low-degree polynomial approximation of the piecewise-linear function $x \mapsto \max(x, 0)$ on an interval $x \in [-R,R]$

fa.functional-analysis real-analysis fourier-analysis approximation-theory asked Jul 8, 2019 at 19:55

mathoverflow.net

Top Answers

Least squares Problem with Non Negativity Constraints

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distance from a point to a hyperplane

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Is $\frac{1}{2}\|x\|^2$ the only function that is equal to its convex conjugate?

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What is the convex conjugate of $f=\max_{i=1\dots n}x_i$?

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Is deep learning killing image processing/computer vision?

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Maximization of dot product subject to infinity norm constraint

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Regarding Nesterov's smooth minimization

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Legendre transform of a norm

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Is a convex function always twice differentiable?

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Prove the subdifferential of $f(x)=\max_i f_i(x)$ is $\partial f(x) = \operatorname{conv}\left( \bigcup \partial f_i(x)\right) $

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Proof about Conjugate and subgradient

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Maximize $\langle \mathrm A , \mathrm X \rangle$ subject to $\| \mathrm X \|_2 \leq 1$

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How to think about dual space of a certain space of Lipschitz functions

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Subderivative of $ ||Au||_{L^{\infty}} $ to Compute Proximal Operator / Prox Operator

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$ {L}_{1} $ Regularized Unconstrained Optimization Problem

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Connection Between Moreau Envelope and the Conjugate

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Is the function $\mbox{tr}(XAX')$ convex?

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Compute the integral $\int_0^1\int_0^1\ldots\int_0^1 f(x_1 + x_2 + \ldots + x_n)\,dx_1\,dx_2\ldots dx_n $

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Proximal Mapping of Least Squares with $ {L}_{1} $ and $ {L}_{2} $ Norm Terms Regularization (Similar to Elastic Net)

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A simple proof that non negative polynomials have even degree

mathoverflow.net

Reference for Connes Bourbaki membership or otherwise

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Average measure of intersection of a convex region with its translate

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Examples of common false beliefs in mathematics

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Count the number of positive solutions for a linear diophantine equation

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Nash equilibrium indifference principle

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Proximal Operator of the Huber Loss Function

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The best performing (theoretical complexity-wise) algorithm to solve this quadratic program

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How to calculate set of subgradients

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Convex conjugate of an invertible linear transform

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