Léon was born in 1965 in Saint Germain du Teil, Lozère near the Aubrac plateau. He spent his childhood in La Canourgue and attended school in Rodez and Clermont-Ferrand, then in École Sainte Geneviève, Versailles. He received the Diplôme d'Ingénieur de l'École Polytechnique (X84) in 1987, the Magistère de Mathématiques Fondamentales et Appliquées et d'Informatique from École Normale Superieure in 1988, the Diplôme d'Études Approndies in Computer Science in 1988, and a Ph.D. in Computer Science from LRI, Université de Paris-Sud in 1991.
After his Ph.D., Léon went to AT&T Bell Laboratories from 1991 to 1992. He then became chairman of Neuristique, a small company pioneering machine learning for data mining applications. He returned to AT&T Labs from 1995 to 2002, NEC Labs America at Princeton from 2002 to 2010, and Microsoft from 2010 to February 2015. He joined the Facebook AI Research in March 2015.
Léon's primary research interest is machine learning. His contributions to this field address theory, algorithms and large scale applications. His best known contributions are his work on stochastic gradient learning algorithms, on large scale learning, and on the DjVu document compression technology. Léon has published about one hundred twenty scientific papers. He is serving or has served on the editorial boards of the Journal of Machine Learning Research, IEEE Transactions on Pattern Analysis and Machine and Pattern Recognition Letters, and on the executive board of the NeurIPS foundation. He won the 2007 Blavatnik Award for young scientists and the Lagrange Prize in Continuous Optimization.