3 papers
cs.AI2026
A Generalized Parallelogram Rule for Proportional Analogies on Riemannian Manifolds
Pierre-Alexandre Murena, Marcelo Hartmann
Analogies are quaternary relations of the form "a is to b as c is to d", usually denoted a : b :: c : d. This notion is formalized in particular with the notion of proportional ana…
cs.AI2026
Proportional Analogies on Probability Distributions via Bayesian Updating
Pierre-Alexandre Murena
Analogies are quaternary relations of the form "A is to B as C is to D". Among the various formalizations of analogical reasoning, proportional analogies provide an important axiom…
cs.LG2024
Cooperative Bayesian Optimization for Imperfect Agents
Ali Khoshvishkaie, Petrus Mikkola, Pierre-Alexandre Murena +1
We introduce a cooperative Bayesian optimization problem for optimizing black-box functions of two variables where two agents choose together at which points to query the function…