### Questions (15)

 3 Minimize sum of quadratic form and regularizer with respect to a matrix 2 Finiteness of $\int_0^1 \left(\sum_{n=1}^\infty \frac{n^\alpha e^{- t n^\alpha}}{1 - e^{- t n^\alpha}} \right)^{1/2} \, \mathrm{d}t$ 2 Limit of $\sum_1^\infty n^\alpha e^{- n^\alpha}$ 2 Conditional expectation involving exponentiated square norm and independent Gaussian r.v. 2 Norm composed with affine function strictly convex?

### Reputation (256)

 +5 Moore-Penrose pseudoinverse and multiplication by diagonal matrix +10 Finiteness of $\int_0^1 \left(\sum_{n=1}^\infty \frac{n^\alpha e^{- t n^\alpha}}{1 - e^{- t n^\alpha}} \right)^{1/2} \, \mathrm{d}t$ +10 Limit of $\sum_1^\infty n^\alpha e^{- n^\alpha}$ +5 Bounded moments for solution of stochastic differential equation

### Answers (2)

 2 If the limit of Xn is cero. 0 Functions so that image of min (resp. max) is a positive definite kernel

### Tags (36)

 2 sequences-and-series × 3 0 brownian-motion × 3 2 convergence × 2 0 stochastic-integrals × 3 2 limits 0 stochastic-calculus × 3 0 linear-algebra × 5 0 hilbert-spaces × 3 0 convex-optimization × 3 0 statistics × 2

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