New posts in regularization

Tikhonov regularization vs truncated SVD

numerical-methods svd least-squares regularization pseudoinverse

Is $\prod_{n=1}^\infty P_{2n-1}$ regularizable?

number-theory prime-numbers infinite-product regularization

Is $2 + 2 + 2 + 2 + ... = -\frac12$ or $-1$?

divergent-series regularization

Values of the Riemann Zeta function and the Ramanujan Summation - How strong is the connection?

analytic-number-theory riemann-zeta divergent-series regularization

Regularized sum of $1+(1+\frac1{2^2}) + (1+\frac1{2^2}+\frac1{3^2})+\cdots$, or $\sum_{k=1}^\infty \sum_{j=1}^k\frac1{j^2}$?

calculus number-theory divergent-series regularization

Intuition of orthogonal polynomials?

polynomials orthogonal-polynomials legendre-polynomials regularization

Is there a metric in which 1+2+3+4+... converges to -1/12?

metric-spaces summation riemann-zeta divergent-series regularization

Can we show that $1+2+3+\dotsb=-\frac{1}{12}$ using only stability or linearity, not both, and without regularizing or specifying a summation method?

sequences-and-series divergent-series regularization cesaro-summable summation-method

Does $(\mathbf A+\epsilon \mathbf I)^{-1}$ always exist? Why?

inverse regularization

Regularization and $\int_{0}^{\infty}\sin x \;\mathrm{d}x$

calculus integration definite-integrals regularization

Euler-Maclarurin summation formula and regularization

divergent-series regularization

When does (Riemann) regularization work?

divergent-series regularization

Can different choices of regulator assign different values to the same divergent series?

sequences-and-series mathematical-physics divergent-series regularization

Is $1+2+3+4+\cdots=-\frac{1}{12}$ the unique ''value'' of this series?

complex-analysis mathematical-physics divergent-series regularization

Why do zeta regularization and path integrals agree on functional determinants?

operator-theory mathematical-physics gaussian-integral regularization functional-calculus

Why are additional constraint and penalty term equivalent in ridge regression?

analysis statistics optimization regularization inverse-problems

When is an infinite product of natural numbers regularizable?

sequences-and-series reference-request divergent-series products regularization