Arithmetic Transform (AT) [1, 16, 17] is an efficient spectral technique, to analyze range and
precision of fixed-point polynomial datapaths, among other methods including AA [4, 15] and …

… In the context of the stochastic analysis of structures with uncertain-but-bounded parameters,
following the philosophy of the affine arithmetic, Muscolino and Sofi [15] proposed an …

We commonly encounter problems that can be described by simulations. These simulations
often haven a greatly reduced problem dimension compared to problems represented …

… To remedy this issue, several different schemes including the generalized interval analysis
[27], the affine arithmetic (AA) [28], the improved interval … An introduction to affine arithmetic …

… We do this by using affine arithmetic (AA), which we describe next. … Probabilistic Affine
Arithmetic … Putot, “A generalization of P-boxes to affine arithmetic,” Computing, vol. 94, nos. 2–4, pp…

We introduce a scalable method for training robust neural networks based on abstract
interpretation. We present several abstract transformers which balance efficiency with precision …

A fuzzy finite element model updating (FFEMU) method is presented in this study for the
damage detection problem. The uncertainty caused by the measurement noise in modal …

… Note that the DetermineRanges function (line 7) is based upon existing range analysis
techniques, such as affine arithmetic or the computational method from [12]. The Partition function …

… Affine arithmetic [11] improves interval estimation by tracking round-off and truncation errors,
and allows for quantity interdependence. However, the primary concern of affine arithmetic …

… A complex affine arithmetic based load flow was presented in [21] to study the impact of
uncertainty in the unbalanced distribution systems. …