3 papers
math.ST2026
Separating Statistical Inference from Experimental Runtime: An Architecture for Sequential Scientific Analysis
Alexander Stepanov, Andrej Novikov
Sequential statistical procedures are increasingly embedded in scientific systems in which observations arrive incrementally from heterogeneous sources. In such systems the statist…
math.QA2026
Operator Michelson Contrast: Logarithmic Parametrisation, Subadditivity, and a Sharp Noncommutativity Threshold
Irina Nikolaeva, Andrej Novikov
We study the operator Michelson contrast Delta(A) = (kappa(A)-1)/(kappa(A)+1), with kappa(A)=||A|| ||A^{-1}||, for positive invertible operators, and introduce its logarithmic para…
cs.MS2026
Finite-Dimensional Type I von Neumann Algebras in PyTorch: A GPU-Accelerated Framework for Random Block-Diagonal Operators
Irina Nikolaeva, Andrej Novikov
torch_vn_algebra is a PyTorch library for numerical work with finite-dimensional von Neumann algebras, i.e. direct sums of matrix algebras. These algebras are central to operator a…