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Mark L. Stone

@marklstone

Stochastically modeling, analyzing, and optimizing for more than 4 decades.

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15.11.2024
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Latest posts by Mark L. Stone @marklstone

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Oral History interview with Frederick Hillier | Mark L. Stone Stanford Emeritus Professor Frederick "Fred" S. Hillier died last week at the age of 89. He was a long-time Professor of Operations Research (OR) at Stanford, and retired early at about the time (1996...

Stanford Emeritus Professor of Operations Research, Frederick "Fred" S. Hillier, died last week at the age of 89.

See www.linkedin.com/feed/update/...

27.01.2026 05:19 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 1
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Significant bias introduced into simple simulation | Mark L. Stone π€π’π‘πˆ : π€π«π­π’πŸπ’πœπ’πšπ₯ π’π­π¨πœπ‘πšπ¬π­π’πœ π‘πžπšπ¬π¨π§π’π§π  𝐈𝐧𝐭𝐞π₯π₯𝐒𝐠𝐞𝐧𝐜𝐞 (acronym and term newly introduced in this post) ASRI is absent from all frontier AI chatbots and doesn’t seem to be on the near-term horizon. I b...

π€π’π‘πˆ : π€π«π­π’πŸπ’πœπ’πšπ₯ π’π­π¨πœπ‘πšπ¬π­π’πœ π‘πžπšπ¬π¨π§π’π§π  𝐈𝐧𝐭𝐞π₯π₯𝐒𝐠𝐞𝐧𝐜𝐞

ASRI is absent from all frontier AI chatbots and doesn’t seem to be on the near-term horizon

ASRI would correctly perform probability calculations in coherent and consistent manner, using Law of Total Probability
www.linkedin.com/feed/update/...

02.01.2026 22:27 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

The Operations Research version of "There's no free lunch" , as articulated by "The Mythical Man Month author", Fred Brooks:

"You can only get something for nothing if you have previously gotten nothing for something."

17.12.2025 23:11 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
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How to use AI chatbots for OR problems | Mark L. Stone posted on the topic | LinkedIn Do most sophisticated users get the maximum benefit from AI chatbots capable of performing computationally intensive inference? 𝐍𝐨. Here are an Operations Research (OR) practitioner’s tips on how bes...

Links to lnkd.in/eAz8n2bA The 3 secrets to AI chatbot prompt generation are constrain, constrain, constrain.

07.12.2025 16:01 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
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Stochastic Thinking in AI Development: A Rare Commodity | Mark L. Stone posted on the topic | LinkedIn Is it time to recognize stochastic thinking as the new frontier in AI chatbot inference and prompt engineering? The number one thing missing from AI scientists' arsenal and from prompt engineering is ...

Is it time to recognize stochastic thinking as the new frontier in AI chatbot inference and prompt engineering? I think so. What do you think? www.linkedin.com/posts/markls...

07.12.2025 15:46 πŸ‘ 0 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

Bonus points for the cool article title.

25.11.2025 11:10 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Doing Operations Research (OR):
Figure out how something does or could work, and make it work better.

25.11.2025 11:04 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
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19.11.2025 18:51 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
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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...

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/...

01.11.2025 18:35 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

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.

13.10.2025 05:38 πŸ‘ 1 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

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.

13.10.2025 05:09 πŸ‘ 1 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

det(exp(X)) = exp(tr(X)). Remarkably, the RHS does not involve off-diagonal elements of X.

19.09.2025 00:13 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Often overlooked: the price of some paths may be highly uncertain.

09.04.2025 12:07 πŸ‘ 1 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

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?

11.02.2025 12:54 πŸ‘ 1 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0
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CVX Forum: a community-driven support forum Software for disciplined convex programming

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... .

07.02.2025 12:52 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

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)

18.01.2025 17:25 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

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.

17.01.2025 18:19 πŸ‘ 2 πŸ” 1 πŸ’¬ 0 πŸ“Œ 2

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)?

19.12.2024 22:03 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Sorry. I meant single vs. double precision.

19.12.2024 20:49 πŸ‘ 0 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

What precision is used on GPU?

19.12.2024 19:28 πŸ‘ 0 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

Corollary: If if A and B are symmetric d x d matrices and B is positive definite, then AB is diagonalizable.

17.12.2024 21:22 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
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High Crimes and Misdemeanors in the Analysis Biz, Part 1: My Funny but True Taylor Series Stories 1. Startling New Phenomenon in Cosmology May 1980: An M.

www.linkedin.com/pulse/high-c...

10.12.2024 01:54 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

How does energy (electricity) used to solve the problem compare between GPU and CPU?

22.11.2024 17:30 πŸ‘ 0 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

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.

18.11.2024 18:50 πŸ‘ 0 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

A crappy simulation is a crappy simulation, whether or not it's called a Digital Twin.

18.11.2024 18:47 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0