[HTML][HTML] Mathematical optimization modelling for group counterfactual explanations

E Carrizosa, J Ramírez-Ayerbe, DR Morales - European Journal of …, 2024 - Elsevier
Counterfactual Analysis has shown to be a powerful tool in the burgeoning field of
Explainable Artificial Intelligence. In Supervised Classification, this means associating with …

An exact algorithm for semi-supervised minimum sum-of-squares clustering

V Piccialli, AR Russo, AM Sudoso - Computers & Operations Research, 2022 - Elsevier
The minimum sum-of-squares clustering (MSSC), or k-means type clustering, is traditionally
considered an unsupervised learning task. In recent years, the use of background …

Random projections for conic programs

L Liberti, PL Poirion, K Vu - Linear Algebra and its Applications, 2021 - Elsevier
We discuss the application of random projections to conic programming: notably linear,
second-order and semidefinite programs. We prove general approximation results on …

Random projections for Linear Programming: an improved retrieval phase

L Liberti, B Manca, PL Poirion - ACM Journal of Experimental …, 2023 - dl.acm.org
One way to solve very large linear programs in standard form is to apply a random projection
to the constraints, then solve the projected linear program. This will yield a guaranteed …

Global optimization for cardinality-constrained minimum sum-of-squares clustering via semidefinite programming

V Piccialli, AM Sudoso - Mathematical Programming, 2023 - Springer
The minimum sum-of-squares clustering (MSSC), or k-means type clustering, has been
recently extended to exploit prior knowledge on the cardinality of each cluster. Such …

A bisection method for solving distance-based clustering problems globally

P Kirst, T Bajbar, M Merkel - TOP, 2024 - Springer
In this article, we consider distance-based clustering problems. In contrast to many
approaches, we use the maximum norm instead of the more commonly used Euclidean …

Dynamic checkpoint strategy for the flexible transit system

D Lee, L Quadrifoglio, K Yin - AIP Conference Proceedings, 2023 - pubs.aip.org
This study explores a dynamic checkpoint strategy for an on-demand flexible transit service
called a Mobility Allowance Shuttle Transit with Dynamic Checkpoint (MAST-DC) that …

Mixed-integer programming techniques for the minimum sum-of-squares clustering problem

JP Burgard, C Moreira Costa, C Hojny… - Journal of Global …, 2023 - Springer
The minimum sum-of-squares clustering problem is a very important problem in data mining
and machine learning with very many applications in, eg, medicine or social sciences …