France-Allemagne : une entente a minima

Instruire, guérir, servir. Formation, recherche et pratique médicales en France et en Allemagne pendant la deuxième moitié du XIXe siècle

the Michaelis-Jena Ratcliffe Prize for Folklore in 1993. Some interesting generalizations emerge: the difference commonly understood between the medicinal activity of roots as opposed to shoots or leaves; the multiple uses of a single plant; the disdain for polypharmacy. In passing, Hatfield argues that the doctrine of signatures was unlikely to be much used by country dwellers in the form prop...

Flat Minima

We present a new algorithm for finding low-complexity neural networks with high generalization capability. The algorithm searches for a "flat" minimum of the error function. A flat minimum is a large connected region in weight space where the error remains approximately constant. An MDL-based, Bayesian argument suggests that flat minima correspond to "simple" networks and low expected overfitti...

"Entente cordiale" in the early treatment of squint.

Chapter v. Strong Minima and the Weierstrass Condition A. Classifying Local Minima

Remark. The notation in condition (iii) reflects the possibility that ḣ might fail to exist at finitely many points. (Various alternative ways to deal with this possibility exist; none is completely satisfactory.) There is an obvious heierarchy in these concepts: every global minimizer also satisfies the criteria to lie in each of the local categories listed above. Any strong local minimizer is...

Successive Minima and Radii

In this note we present inequalities relating the successive minima of a o-symmetric convex body and the successive inner and outer radii of the body. These inequalities build a bridge between known inequalities involving only either the successive minima or the successive radii.