Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay's user avatar
Samrat Mukhopadhyay
  • Member for 9 years, 3 months
  • Last seen more than a week ago
3 votes
1 answer
3k views

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

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 $\ A^T D A$

2 votes
1 answer
478 views

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

0 votes
0 answers
476 views

Lyapunov function for gradient descent type algorithm

2 votes
2 answers
474 views

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

3 votes
2 answers
454 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 $a$

1 vote
1 answer
391 views

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

1 vote
1 answer
344 views

Maximizing a certain concave function over a non-convex set

3 votes
1 answer
286 views

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

1 vote
0 answers
258 views

How to find the best convergence rate of a dynamical system $x_{n+1} = g(x_n),\ n\ge 0,\ x_0\in \mathbb{R}$?

3 votes
1 answer
244 views

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

0 votes
1 answer
178 views

Given correlated Gaussian random variables, how to bound the probability that the first is the largest?

3 votes
1 answer
164 views

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

1 vote
1 answer
103 views

Ergodicity of elementary symmetric polynomials with noncommutable variables

-1 votes
1 answer
92 views

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

1 vote
0 answers
82 views

An inequality concerning restricted isometry property

1 vote
0 answers
82 views

Gradient descent with gradient evaluated at transformed coordinates

0 votes
0 answers
71 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?

1 vote
0 answers
58 views

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

2 votes
1 answer
44 views

On the relation between solution of random least squares and expected least squares with constraints

0 votes
0 answers
42 views

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