Comprendre les algorithmes mathématiques dans l’informatique

Comprendre les algorithmes mathématiques dans l'informatique

EN BREF Algorithme : suite d’étapes pour transformer des données d’entrée en données de sortie. Les mathématiques et l’informatique travaillent en symbiose. Un algorithme est essentiel en programmation informatique. Structuration des étapes pour résoudre un problème. Les principes de l’algorithmique incluent des assertions et un objectif clair. Les algorithmes sont fondamentaux pour le calcul numérique … Read more

Machine learning algorithms in cosmology

Les algorithmes d’apprentissage machine en cosmologie

IN BRIEF Machine learning for cosmological analysis. Correction of detection biases of weak lenses. Use of algorithms for astrophysical parameter estimation. Introduction to ensemble methods. Estimations of biases related to galaxy properties. Applications of AI in the quest for infinity. Use of optimal transport algorithms in cosmology. Machine learning in astronomy and biomedicine. In the … Read more

Cryptography and its connection with modern mathematics

La cryptographie et son lien avec les mathématiques modernes

IN BRIEF Modern Cryptography: Securing transactions and generating trust. Mathematical Problems: Use of unresolved problems, such as the factorization of large numbers. History: The cryptographic system RSA developed by Ronald Rivest and his colleagues in 1977. Applications: Computer programs derived from cryptographic protocols. Prime Numbers: Essential for research in cryptography. Encoding Function: Encryption keys validated … Read more

The role of mathematics in artificial intelligence

Le rôle des mathématiques dans l'intelligence artificielle

IN BRIEF Use of mathematics to model complex systems. Neural networks and their mathematical foundation. Statistics to analyze and interpret data. Supervised learning and parameter tuning. Modern theories to predict chaotic phenomena. Applied mathematics in operations research. Influence on education and the teaching of mathematics. Optimization of learning methods through mathematics. Data security through mathematical … Read more