Franccois Cl'ement

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20212026

most citedLebesgue integration. Detailed proofs to be formalized in Coq

1 citations · 2 across the 18 of their papers we have counts for

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math.OC2026

Gradient descent with exponentially increasing stepsizes and restarts

François Clément, Stefan Steinerberger

Let $f : R^{d} \to R$ . We consider gradient descent $x_{n + 1} = x_{n} - τ_{n} \nabla f (x_{n})$ , where the stepsize $τ_{n} = τ \cdot e^{r n}$ is exponentially growing (wi…

cs.LG2026

An effective variant of the Hartigan $k$ -means algorithm

François Clément, Stefan Steinerberger

The k-means problem is perhaps the classical clustering problem and often synonymous with Lloyd's algorithm (1957). It has become clear that Hartigan's algorithm (1975) gives bette…

cs.LO2026

A Rocq Formalization of Simplicial Lagrange Finite Elements

Sylvie Boldo, François Clément, Vincent Martin +2

Formalization of mathematics is a major topic, that includes in particular numerical analysis, towards proofs of scientific computing programs. The present study is about the finit…

Gradient descent with exponentially increasing stepsizes and restarts

An effective variant of the Hartigan k-means algorithm

A Rocq Formalization of Simplicial Lagrange Finite Elements

An effective variant of the Hartigan $k$ -means algorithm