1 citations · 1 across the 7 of their papers we have counts for
9 papers
Topological Fraud Detection in Latent Transaction Spaces
Avraham Bourla
Working entirely on topologically anonymized embeddings, we perform fraud detection using iterative rounds of unsupervised filtering followed by supervised sniping. The result is a…
Ostrowski Numeration, Alternating Expansions\\ and Inhomogeneous Linear Approximation
Avraham Bourla
Given an irrational slope and a real intercept , the inhomogeneous linear approximation problem asks for integers for which $\norm{mα-β}$ is small compared with $\abs{m}…
The Ostrowski Expansions Revealed
Avraham Bourla
We provide algorithms for the absolute and alternating Ostrowski Expansions of the continuum and provide proofs for their uniqueness.
Irrational Base Counting
Avraham Bourla
We will provide algorithmic implementation with proofs of existence and uniqueness for the Absolute and Alternating Ostrowski Numeration Systems.
Approximation pathologies for certain continued fractions
Avraham Bourla
We will provide a family of continued fractions for which there is no correspondence between dynamic and approximation pairs, leading to an anomaly in their corresponding Spaces of…
Bounding differences in Jager Pairs
Avraham Bourla
Symmetrical subdivisions in the space of Jager Pairs for continued fractions-like expansions will provide us with bounds on their difference. Results will also apply to the classic…
Arithmetic diophantine approximation for continued fractions-like maps on the interval
Avraham Bourla
We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued…
The bisequence of approximation coefficients for Gauss-like and Renyi-like maps on the interval
Avraham Bourla
We will establish several arithmetic and geometric properties regarding the bi-sequences of approximation coefficients (BAC) associated with the two one-parameter families of piece…
Symmetry in the sequence of approximation coefficients
Avraham Bourla
Let and be the sequences of partial quotients and approximation coefficients for the continued fraction expansion of an irrational number. We…