# probabilistic model (blogs) — RSS Amplifier Recent posts from the 2 feeds in the RSS Amplifier directory that cover probabilistic model. Page: Feed: --- ## [Statistics is hard to get right](https://thetheoreticaldiver.org/wordpress/index.php/2026/05/09/statistics-is-hard-to-get-right/) _2026-05-09 · robert · The Theoretical Diver_ What factors influence the probability of a dive leading to DCS? Many of us would love to know the answer to that question. Wouldn’t it be great if we had a huge database of dives with depth profiles and lots of additional data of many different divers, together with information if those dives led to … Continue reading "Statistics is hard to get right" ## [A framework for making sense of metrics in technical organizations](https://mbernste.github.io/posts/metrics/) _2026-02-10 · Matthew N. Bernstein · Matthew N. Bernstein_ If you work in a quantitative or technical field, there is little doubt that you or your team has worked long and hard to define which metrics to measure and track. Using data-driven metrics is a critical practice for making rational decisions and deciphering truth in a complex and noisy world. However, as others have pointed out, an over-reliance on metrics can lead to poor outcomes. In an effort… ## [Understanding attention](https://mbernste.github.io/posts/attention/) _2025-12-21 · Matthew N. Bernstein · Matthew N. Bernstein_ Attention is a type of layer in a neural network that is widely regarded to be one of the most important breakthroughs that enabled the development of modern AI systems and large language models. At its heart, attention is a mechanism for explicitly drawing relationships between items in a set. In natural language processing, the set being processed are words (or tokens) and attention enables the… ## [New decompression theory book](https://thetheoreticaldiver.org/wordpress/index.php/2025/10/22/new-decompression-theory-book/) _2025-10-22 · robert · The Theoretical Diver_ Let’s interrupt the regular program for a short commercial break: Veronika Sievers and Dominik Elsässer have turned their Punkfish online seminars into writing and finished a book on decompression theory: So far only in German, it covers everything from the basics to the latest findings. It should be accessible to all divers and different from … Continue reading "New decompression theory book" ## [CNS O2 Limit Updates](https://thetheoreticaldiver.org/wordpress/index.php/2025/10/08/cns-o2-limit-updates/) _2025-10-08 · robert · The Theoretical Diver_ In the past, I have talked about the poor empirical data underlying the NOAA limits for preventing CNS oxygen toxicity. Of course, those are tricky, since having a seizure at depth has a high likelihood of resulting in fatal outcomes while there are good chances that the diver has no way to see it coming. … Continue reading "CNS O2 Limit Updates" ## [Questions after MI8: Final Reckoning](https://thetheoreticaldiver.org/wordpress/index.php/2025/05/26/questions-after-mi8-final-reckoning/) _2025-05-26 · robert · The Theoretical Diver_ On Thursday, I took my daughter to the movies and we watched “Mission Impossible 8: Final Reckoning” which as my dear readers will be aware of involves an extensive under water chapter. This leaves the theoretical diver with a number of questions regarding in particular the physics and diving shown. WARNING: Spoilers ahead! Tom Cruise … Continue reading "Questions after MI8: Final Reckoning" ## [AI Real Gas Blending](https://thetheoreticaldiver.org/wordpress/index.php/2025/02/13/ai-real-gas-blending/) _2025-02-13 · robert · The Theoretical Diver_ I understand the kids today use generative AI for everything. So, it is just natural to use it to blend some diving gases as well. I already had my CGI script to compute how to top up your gases using Subsurface’s real gas approximation. Now, I played around with some large language models and Claude.ai … Continue reading "AI Real Gas Blending" ## [Demystifying Euler’s number](https://mbernste.github.io/posts/eulers_number/) _2025-01-26 · Matthew N. Bernstein · Matthew N. Bernstein_ Euler’s number $e := 2.71828\\dots$ has, to me, always been a semi-mysterious number. While I understood many facts about $e$, I never felt I ever truly understood what it really was – it’s core essence so to speak. I believe that part of the reason for my confusion is that $e$ is often taught coming from two seemingly different perspectives: Either it is introduced in the context of compound… ## [Reproducing kernel Hilbert spaces and the kernel trick](https://mbernste.github.io/posts/rkhs/) _2024-12-14 · Matthew N. Bernstein · Matthew N. Bernstein_ If you’re a practitioner of machine learning, then there is little doubt you have seen or used an algorithm that falls into the general category of kernel methods. The premier example of such methods is the support vector machine. When introduced to these algorithms, one is taught that one must provide the algorithm with a kernel function that, intuitively, computes a degree of “similarity”… ## [Dot product](https://mbernste.github.io/posts/dot_product/) _2024-12-09 · Matthew N. Bernstein · Matthew N. Bernstein_ The dot product is a fundamental operation on two Euclidean vectors that captures a notion of similarity between the vectors. In this post, we’ll define the dot product and offer a number of angles for which to intuit the idea captured by this fundamental operation. ## [Reach prospects with real signals (Sponsored)](https://crawlproof.com/a/NPogTLC6cdSg) _2024-12-09 · **Sponsored**_ Find prospects talking about your problem and get context-backed moments to engage ## [Intuiting biology (Part 1: Order and chaos in the crowded cell)](https://mbernste.github.io/posts/intuit_biology_goodsell/) _2024-11-24 · Matthew N. Bernstein · Matthew N. Bernstein_ Cells are crowded spaces packed with biomolecules colliding and interacting with one another. Despite this chaotic environment, biologists routinely describe intracellular functions using the clean mathematical language of networks. In this post I will attempt to reconcile these two seemingly contradictory perspectives of the cell. This post will serve as a first part in a series of blog posts I… ## [Notes on \_The Art of War\_ by Sun Tzu](https://mbernste.github.io/posts/art_of_war_part1/) _2024-11-16 · Matthew N. Bernstein · Matthew N. Bernstein_ I am currently reading Sun Tzu’s Art of War and am finding much wisdom in it. I have been taking notes during my reading and I thought I’d share them in this post. Here I cover Books 1 and 2. ## [Denoising diffusion probabilistic models (Part 2: Theoretical justification)](https://mbernste.github.io/posts/diffusion_part2/) _2024-10-20 · Matthew N. Bernstein · Matthew N. Bernstein_ In Part 1 of this series, we introduced the denoising diffusion probabilistic model for modeling and sampling from complex distributions. We described the diffusion model as a model that can generate new samples by learning how to reverse a diffusion process. In this post, we provide more theoretical justification for the objective function used to fit diffusion models and make connections between… ## [Don’t measure gas use as pressure drop per time](https://thetheoreticaldiver.org/wordpress/index.php/2024/09/11/dont-measure-gas-use-as-pressure-drop-per-time/) _2024-09-11 · robert · The Theoretical Diver_ Here is an email I wrote to the Subsurface mailing list in response to the suggestion to offer the option to display gas use (SAC or RMV) in units of pressure drop per time even when you use only a single cylinder size: There are two separate issues: One is if you measure the gas … Continue reading "Don’t measure gas use as pressure drop per time"