An index of her thoughts on many topics: http://aynrandlexicon.com/book/conceptual.html
A graduation speech which summarises her views on philosophy in general: http://fare.tunes.org/liberty/library/pwni.html
Her most technical work, her theory of concept-formation (and the book that sold me on her ideas): https://www.amazon.com/Introduction-Objectivist-Epistemology...
If you're thinking about conceptual reasoning vs. purely data-driven reasoning, you'd really get a lot of value from reading Ayn Rand's theory of concepts. Yes, she's very unpopular amongst modern philosophers, so all I'll say is you should read her writings and judge for yourself.
https://www.amazon.com/Introduction-Objectivist-Epistemology...
Two people used her philosophy as a basis for a book on induction and the history of the scientific method:
https://www.amazon.com/Logical-Leap-Induction-Physics-ebook/...
Here's a free taster: http://aynrandlexicon.com/book/conceptual.html
I later found out that Aristotelian logic held the answers, and modern symbolic logic was a weird set of mathematical formalisms that wrenched out one part of classical logic (propositions) but omitted the theory of terms (concepts), without which, logic becomes a system of meaningless symbol games. This is the book that showed me a world of logic both perfectly rigorous and perfectly descriptive of human cognition: https://www.amazon.com/Introduction-Objectivist-Epistemology... (if the author's name triggers you, obviously this book is not for you, but if you enjoy far-out intellectual adventures, you'll be in for a mind-blowing ride).
https://www.amazon.com/Introduction-Objectivist-Epistemology...