Validation sets for machine learning algorithms

RA Lekivetz, JA Morgan, BA Jones… - US Patent …, 2020 - Google Patents
A computing device receives data comprising inputs representing a respective option for
each of factors in each of test cases. The data comprises a response of the system for each …

Compression of periodic complementary sequences and applications

DŽ Ɖoković, IS Kotsireas - Designs, Codes and Cryptography, 2015 - Springer
A collection of complex sequences of length vv is complementary if the sum of their periodic
autocorrelation function values at all non-zero shifts is constant. For a complex sequence A …

Symmetric Hadamard matrices of order 116 and 172 exist

O Di Matteo, DŽ Ðoković, IS Kotsireas - Special matrices, 2015 - degruyter.com
We construct new symmetric Hadamard matrices of orders 92, 116, and 172. While the
existence of those of order 92 was known since 1978, the orders 116 and 172 are new. Our …

Optimal screening designs

RA Lekivetz, CB King, JA Morgan… - US Patent 10,535,422, 2020 - Google Patents
2019-07-10 Assigned to SAS INSTITUTE INC. reassignment SAS INSTITUTE INC.
ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors …

Direct construction of globally D‐optimal designs for factors at two levels and main effects models

C King, B Jones, J Morgan… - Quality and Reliability …, 2020 - Wiley Online Library
In develo** screening experiments for two‐level factors, practitioners typically are familiar
with regular fractional factorial designs, which are orthogonal, globally D‐optimal (ie, 100 …

Some new periodic Golay pairs

DŽ Ðoković, IS Kotsireas - Numerical Algorithms, 2015 - Springer
Periodic Golay pairs are a generalization of ordinary Golay pairs. They can be used to
construct Hadamard matrices. A positive integer v is a (periodic) Golay number if there exists …

On minors of maximal determinant matrices

RP Brent, JH Osborn - arxiv preprint arxiv:1208.3819, 2012 - arxiv.org
By an old result of Cohn (1965), a Hadamard matrix of order n has no proper Hadamard
submatrices of order m> n/2. We generalise this result to maximal determinant submatrices …

D-optimal matrices of orders 118, 138, 150, 154 and 174

D Ž.-Doković, IS Kotsireas - Algebraic Design Theory and Hadamard …, 2015 - Springer
We construct supplementary difference sets (SDSs) with parameters (59; 28, 22; 21),(69; 31,
27; 24),(75; 36, 29; 28),(77; 34, 31; 27) and (87; 38, 36; 31). These SDSs give D-optimal …

A feasibility approach for constructing combinatorial designs of circulant type

FJ Aragón Artacho, R Campoy, I Kotsireas… - Journal of Combinatorial …, 2018 - Springer
In this work, we propose an optimization approach for constructing various classes of
circulant combinatorial designs that can be defined in terms of autocorrelation. The problem …

Transformation and evaluation of disallowed combinations in designed experiments

JA Morgan, RA Lekivetz, BA Jones… - US Patent 11,216,603, 2022 - Google Patents
2021-01-08 Assigned to SAS INSTITUTE INC. reassignment SAS INSTITUTE INC.
ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors …