Tree based ensembles and symbolic regression methods are presented as transparent models with extracted rules and mathematical formula, respectively, explaining the CI models in greater detail.
Susskind, then a young particle physicist at New York's Yeshiva University, realized that the mathematical formula that explains what happens when particle pairs collide made more sense if one imagined the particles as individual loops of string that combine and oscillate together for a little while before parting ways.
Now, researchers have built a mathematical formula that explains how such self-sacrificing traits nevertheless could evolve because they tend to live on in the widespread descendents of fallen heroes.
In a paper this week in Science, Vogelstein and Cristian Tomasetti, who joined the biostatistics department at Hopkins in 2013, put forth a mathematical formula to explain the genesis of cancer.
Good luck writing a mathematical formula to explain that.
Heitler and London put a mathematical formula that explained the existence of the chemical bond through molecular orbitals in the hydrogen molecule.
Then they become prophets: they devise mathematical formulas that explain the pattern, test the formulas against historical data withheld for the purpose, and use the formulas to make predictions about the future.
Mr. Axelrod, an electrical engineer who fenced in his spare time, compared his fencing technique to chess and rattled off rules of physics and mathematical formulas to explain it.
The term "Internet" was not yet in general circulation, and "social network" was an academic concept that psychologists and sociologists used to derive mathematical formulas that explained people's patterns of friendships.
Squeezed into the rows of hard, folding wooden seats, as many as 300 freshmen anxiously took notes while the professor covered multiple blackboards with mathematical formulas and explained the principles of Newtonian mechanics and electromagnetism.
