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4. Solving haplotyping inference parsimony problem using a new basic polynomial formulation

Author

Martine Labbé, Alessandra Godi, Paola Bertolazzi, Leonardo Tininini, Fortz, Bernard, Graphes et Optimisation Mathématique [Bruxelles] (GOM), Université libre de Bruxelles (ULB), CNR (CNR), and Consiglio Nazionale delle Ricerche [Roma] (CNR)

Subjects
Polynomial, [INFO.INFO-RO] Computer Science [cs]/Operations Research [cs.RO], 0211 other engineering and technologies, Inference, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, Polynomial and rational function modeling, TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY, Modelling and Simulation, Limit (mathematics), Integer programming, ComputingMilieux_MISCELLANEOUS, Mathematics, 021103 operations research, Heuristic, Haplotyping, [INFO.INFO-RO]Computer Science [cs]/Operations Research [cs.RO], Resolution (logic), Computational Mathematics, Integer linear programming, ComputingMethodologies_PATTERNRECOGNITION, Computational Theory and Mathematics, Polynomial formulations, 010201 computation theory & mathematics, Modeling and Simulation, Branch and cut, Algorithm
Abstract

Similarity and diversity among individuals of the same species are expressed in small DNA variations called Single Nucleotide Polymorphism. The knowledge of SNP phase gives rise to the haplotyping problem that in the parsimonious version states to infer the minimum number of haplotypes from a given set of genotype data. ILP technique represents a good resolution strategy for this interesting combinatorial problem whose main limit lies in its NP-hardness. In this paper we present a new polynomial model for the haplotyping inference by parsimony problem characterized by the original use of a maximum formulation jointly with a good heuristic solution. This approach showed to be a robust basic model that can be used as starting point for more sophisticated ILP techniques like branch and cut and polyhedral studies.

Published
2008
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5. Corporate sustainability and shareholder return: A comparative study on the return of the shares that make up the B3 corporate sustainability index

Author

Alessandra Godinho Serra, Rosana Tavares, Rodolfo Vieira Nunes, and Alice Carolina Ames

Subjects
Sustainability, Corporate social responsibility, Financial return, Corporate sustainability index, Business, HF5001-6182, Accounting. Bookkeeping, HF5601-5689
Abstract

This article aims to answer the following question: Do companies with sustainable initiatives bring a greater return to shareholders? The authors have built a hypothetical portfolio based on the B3 Corporate Sustainability Index (ISE) methodology through an ex-post facto descriptive research. The authors have also calculated the beta and weighted returns considering each share weight and the proportional impact on the portfolio. The alpha calculation and the association with the Student 's t-test allowed investigation on the possibility of an incremental return concerning the adopted reference. We have concluded that the responsible investment strategy in companies considered sustainable, through the hypothetical portfolio, does not bring the possibility of an incremental return to the shareholder when compared to the market portfolio. On the other hand, the hypothetical portfolio does not bring a return lower than the market portfolio. That is, its performance does not fall short.

Published
2023
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