Mark L. Stone
@marklstone.bsky.social
Stochastically modeling, analyzing, and optimizing for more than 4 decades.
Economics
85%
Business
9%
An Operations Research (OR) practitioner's tips on how best to use current (or next) generation AI chatbots capable of performing computationally intensive inference to deliver answers to the… | M...
An Operations Research (OR) practitioner's tips on how best to use current (or next) generation AI chatbots capable of performing computationally intensive inference to deliver answers to the user.
W...
www.linkedin.com
My thoughts on using an Operations Research approach to formulate prompts for AI chatbots capable of performing computationally intensive inference.
Hint: Inference should be based on conditional probability, so optimization should be constrained, not unconstrained
www.linkedin.com/feed/update/...
Hint: Inference should be based on conditional probability, so optimization should be constrained, not unconstrained
www.linkedin.com/feed/update/...
For me, GenAI's like Wiki on steroids. Drill deep & broad, go w/flow (2nd order conditions for nonlinear SDP when stationary point not exact) - interactive learning w/ renaissance teacher who's not always right. Critically think about what GenAI says; call it out when wrong, which it usually admits.
As MIT undergrad, did UROP on Dial-A-Ride in Center for Transportation Studies. Hani sat 5 feet from me. His 1st OR course used H&L. Told me was hardest book/course he ever had. That's how I first heard of OR. I skipped H&L; undergrad Math right to OR PhD courses at MIT (as undegrad), then Stanford.
Mark L. Stone
@marklstone.bsky.social
· Sep 19
det(exp(X)) = exp(tr(X)). Remarkably, the RHS does not involve off-diagonal elements of X.
Mark L. Stone
@marklstone.bsky.social
· Apr 9
Often overlooked: the price of some paths may be highly uncertain.
Mark L. Stone
@marklstone.bsky.social
· Feb 11
Does this technique allow construction and SC proof of a barrier for Symmetrized Quantum Relative Entropy (SQRE), defined as SQRE(A,B) = QRE(A,B)+QRE(B,A) ? This would hopefully allow use of a single symmetric cone instead of 2 asymmetirc cones?
Mark L. Stone
@marklstone.bsky.social
· Feb 7
CVX Forum: a community-driven support forum
Software for disciplined convex programming
ask.cvxr.com
Very nice. It would be interesting to see how many "unsolved" (Erling's challenge) problems on ask.cvxr.com could now be conic reformulated, and to what extent computer algebra type techniques might help in finding such refomulations, along the lines of ask.cvxr.com/t/ph-d-thesi... .
Mark L. Stone
@marklstone.bsky.social
· Jan 18
I note in passing that I read a new paper today which had 2 instances of "we remark in passing". That's a writing style I associated with decades past, such as a paper I coauthored in "Operations Research" in 1983 which I note in passing used "we note in passing" (attributable to my older coauthor)
Mark L. Stone
@marklstone.bsky.social
· Jan 17
Now fixed (at least for me).
Yes, water will freeze at 27 degrees Fahrenheit because the freezing point of water is 32 degrees Fahrenheit, so any temperature below that will cause water to freeze; 27 degrees is below 32 degrees.
Key point: Water freezes at 32 degrees Fahrenheit.
Yes, water will freeze at 27 degrees Fahrenheit because the freezing point of water is 32 degrees Fahrenheit, so any temperature below that will cause water to freeze; 27 degrees is below 32 degrees.
Key point: Water freezes at 32 degrees Fahrenheit.
Mark L. Stone
@marklstone.bsky.social
· Dec 19
Can single precision cut the mustard on first order methods, such as PDHG for LP (perhaps if followed, if needed, by some type of repair step or crossover in double precision)?
Mark L. Stone
@marklstone.bsky.social
· Dec 19
Sorry. I meant single vs. double precision.
Mark L. Stone
@marklstone.bsky.social
· Dec 19
What precision is used on GPU?
Mark L. Stone
@marklstone.bsky.social
· Dec 17
Corollary: If if A and B are symmetric d x d matrices and B is positive definite, then AB is diagonalizable.
Mark L. Stone
@marklstone.bsky.social
· Nov 22
How does energy (electricity) used to solve the problem compare between GPU and CPU?
Mark L. Stone
@marklstone.bsky.social
· Nov 18
SR1 is a fairly well-known Quasi-Newton update. Most frequently used in conjunction with Trust Regions on indefinite Lagrangians.
SR! Quasi-Newton update is same as SR1, except for holding on to the shift key too long after the R. Most frequently used by older people with declining visual acuity.
SR! Quasi-Newton update is same as SR1, except for holding on to the shift key too long after the R. Most frequently used by older people with declining visual acuity.
Mark L. Stone
@marklstone.bsky.social
· Nov 18
A crappy simulation is a crappy simulation, whether or not it's called a Digital Twin.