TY - JOUR A1 - Pronzato, Luc A1 - Sagnol, Guillaume T1 - Removing inessential points in c- and A-optimal design T2 - Journal of Statistical Planning and Inference N2 - A design point is inessential when it does not contribute to an optimal design, and can therefore be safely discarded from the design space. We derive three inequalities for the detection of such inessential points in c-optimal design: the first two are direct consequences of the equivalence theorem for c-optimality; the third one is derived from a second-order cone programming formulation of c-optimal design. Elimination rules for A-optimal design are obtained as a byproduct. When implemented within an optimization algorithm, each inequality gives a screening test that may provide a substantial acceleration by reducing the size of the problem online. Several examples are presented with a multiplicative algorithm to illustrate the effectiveness of the approach. Y1 - 2020 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/8125 UR - https://hal.archives-ouvertes.fr/hal-02868664 VL - 213 SP - 233 EP - 252 ER -