Samrat Mukhopadhyay
  • Member for 7 years, 1 month
  • Last seen this week
  • India
1 answers
3 votes
260 views
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How to find the vertices of the set $\{v_i\in \mathbb{R}:a_1\ge v_1\ge v_2\ge \cdots\ge v_n\ge 0,\ q_2\le \sum_{i=1}^n p_iv_i\le q_1\}$
1 answers
3 votes
1k views
3 bookmarks
Is there a tight lower bound for the expectation of the product of two positive valued random variables?
1 answers
3 votes
132 views
1 bookmarks
Which Orlicz functions $f$ make the function $f^{-1}\left(\frac{\sum_{j=1}^s f(x_j)}{s}\right)$ convex?
1 answers
3 votes
156 views
1 bookmarks
Finding a tight upper bound of $\int_0^\infty e^{-a\sqrt{1-e^{-x}}-x^2/2} dx$ as a function of $a$, $a>0$
2 answers
3 votes
322 views
2 bookmarks
Finding a tight upper bound of $\int_0^\infty e^{-x^2/2-a(1-e^{-x})}dx,\ a>0$, as a function of $a$
0 answers
2 votes
991 views
Tight bounds on maximum and minimum eigenvalues of product of a matrix with a diagonal matrix: of the form $\ A^T D A$
2 answers
2 votes
435 views
Can I use Birkhoff's Ergodic Theorem for Vector Valued Process?
1 answers
2 votes
374 views
Is there a way to find $\limsup$ and $\liminf$ for ergodic processes almost surely?
1 answers
1 votes
381 views
1 bookmarks
The tightest upper bound on $-\left\langle B(y-x),\nabla f(A x)\right\rangle$
0 answers
1 votes
166 views
2 bookmarks
How to find the best convergence rate of a dynamical system $x_{n+1} = g(x_n),\ n\ge 0,\ x_0\in \mathbb{R}$?
0 answers
1 votes
78 views
Gradient descent with gradient evaluated at transformed coordinates
1 answers
1 votes
96 views
Ergodicity of elementary symmetric polynomials with noncommutable variables
0 answers
1 votes
52 views
Stochastic independence of columns of projection matrix to the rest of the columns of a random matrix
1 answers
1 votes
233 views
Maximizing a certain concave function over a non-convex set
0 answers
1 votes
78 views
An inequality concerning restricted isometry property
0 answers
0 votes
68 views
Does there exist $\alpha>0, \beta\in (0,1)$ such that $\dfrac{\sum_{k=1}^n a_k}{n}\le \alpha (a_1\cdots a_n)^{1/n} + \beta \max_i(a_i)$ holds?
0 answers
0 votes
374 views
Lyapunov function for gradient descent type algorithm
0 answers
0 votes
40 views
Convergence of a positive sequence controlled by a difference inequality involving quadratic map
1 answers
-1 votes
75 views
Finding a $k$-subset which maximizes a matrix sum