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Samrat Mukhopadhyay
  • Member for 7 years, 5 months
  • Last seen more than a week ago
  • India
3 votes
2 answers
328 views

Finding a tight upper bound of $\int_0^\infty e^{-x^2/2-a(1-e^{-x})}dx,\ a>0$, as a function of $a$

3 votes
1 answer
164 views

Finding a tight upper bound of $\int_0^\infty e^{-a\sqrt{1-e^{-x}}-x^2/2} dx$ as a function of $a$, $a>0$

3 votes
1 answer
134 views

Which Orlicz functions $f$ make the function $f^{-1}\left(\frac{\sum_{j=1}^s f(x_j)}{s}\right)$ convex?

3 votes
1 answer
1k views

Is there a tight lower bound for the expectation of the product of two positive valued random variables?

3 votes
1 answer
261 views

How to find the vertices of the set $\{v_i\in \mathbb{R}:a_1\ge v_1\ge v_2\ge \cdots\ge v_n\ge 0,\ q_2\le \sum_{i=1}^n p_iv_i\le q_1\}$

2 votes
2 answers
439 views

Can I use Birkhoff's Ergodic Theorem for Vector Valued Process?

2 votes
1 answer
389 views

Is there a way to find $\limsup$ and $\liminf$ for ergodic processes almost surely?

2 votes
0 answers
1k views

Tight bounds on maximum and minimum eigenvalues of product of a matrix with a diagonal matrix: of the form $\ A^T D A$

1 vote
0 answers
80 views

Gradient descent with gradient evaluated at transformed coordinates

1 vote
1 answer
382 views

The tightest upper bound on $-\left\langle B(y-x),\nabla f(A x)\right\rangle$

1 vote
1 answer
97 views

Ergodicity of elementary symmetric polynomials with noncommutable variables

1 vote
1 answer
252 views

Maximizing a certain concave function over a non-convex set

1 vote
0 answers
80 views

An inequality concerning restricted isometry property

1 vote
0 answers
53 views

Stochastic independence of columns of projection matrix to the rest of the columns of a random matrix

1 vote
0 answers
175 views

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 votes
0 answers
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 votes
0 answers
402 views

Lyapunov function for gradient descent type algorithm

0 votes
0 answers
40 views

Convergence of a positive sequence controlled by a difference inequality involving quadratic map

-1 votes
1 answer
77 views

Finding a $k$-subset which maximizes a matrix sum