New issue
Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.
By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.
Already on GitHub? Sign in to your account
Anosov flows #383
Comments
I'm sorry, this question is too general. The problem section needs to be specific about something that SINDy doesn't do, as well as specifically what you'd like to see. E.g. provide an example of equations for Anosov flow, some code of how you would hope to use pysindy with those equations, and what you'd like to see as output. My own research isn't in this direction, so I'm unable to mentally create that kind of an example from the description you provided. I'm likely to close this issue, as there doesn't seem to be anything other than quotes and links. You need to put the work into summarizing the relevant information; it's unfair to expect us to do so. |
I'm a bit miffed that you've suggested that you deserved a ScholarlyArticle
to teach you a better approach for the problems you're modeling with
PySindy and reluctant to spend more time on yours.
Are you aware of tools that model the same fluid problems as pysindy but
yield solutions more algorithmically efficiently on classical computers?
FWIU, this new application of Anosov flows ~hashes stable patterns in
fluids?
…On Mon, Aug 7, 2023, 4:16 PM Jacob Stevens-Haas ***@***.***> wrote:
Closed #383 <#383> as
completed.
—
Reply to this email directly, view it on GitHub
<#383 (comment)>, or
unsubscribe
<https://github.com/notifications/unsubscribe-auth/AAAMNS3K7FVU44JQN7E4NLTXUFEJRANCNFSM6AAAAAA3CI62HQ>
.
You are receiving this because you authored the thread.Message ID:
***@***.***>
|
There's a variety of competing methods, from SINDy-adjacent-but-not-in-pysindy to ones that take a different approach, such as Gaussian Process Regression. We're more focused on the problems of noisy data, choosing the function library, and choosing the measurement coordinates than on algorithmic efficiency. |
From "Symbolic Regression"
https://en.wikipedia.org/wiki/Symbolic_regression :
By not requiring a priori specification of a model, symbolic regression
isn't affected by human bias, or unknown gaps in domain knowledge. It
attempts to uncover the intrinsic relationships of the dataset, by letting
the patterns in the data itself reveal the appropriate models, rather than
imposing a model structure that is deemed mathematically tractable from a
human perspective. The fitness function that drives the evolution of the
models takes into account not only error metrics (to ensure the models
accurately predict the data), but also special complexity measures, [6]
Read:
https://en.wikipedia.org/wiki/Discovery_system_(AI_research)
- LLM prompt:
- "you are a computational AI physicist explaining to a"
- "let's think step by step"
- "in SymPy, with pytest tests"
- "in SymPy, with Hypothesis @given decorator tests"
- "and then assert that"
- "in a table with citations,"
- "in JSON-LD"
- "with lean mathlib"
- leanprover-community/mathlib#17919
- Table of SOTA math LLMs:
https://github.com/nlpxucan/WizardLM/tree/main/WizardMath#comparing-wizardmath-with-the-llm-models
Anyways, Fitness functions for quantum chaotic fluid model prediction is
_out of scope and tangential_, too:
https://en.wikipedia.org/wiki/Fitness_function
…-Anosov flows, degrees of curl, and fluid pattern emergence;
- are commonly emergent fluid flow patterns "hashable" after e.g. SiFT and
RiFT or at a lower level.
- The subset/superset relation between Anosov flows and Lorenz curves (in
fluids)
On Mon, Aug 14, 2023, 6:30 PM Jacob Stevens-Haas ***@***.***> wrote:
There's a variety of competing methods, from
SINDy-adjacent-but-not-in-pysindy <https://arxiv.org/abs/2009.01006> to
ones that take a different approach, such as Gaussian Process Regression
<https://arxiv.org/abs/2004.08376>. We're more focused on the problems of
noisy data, choosing the function library, and choosing the measurement
coordinates than on algorithmic efficiency.
—
Reply to this email directly, view it on GitHub
<#383 (comment)>,
or unsubscribe
<https://github.com/notifications/unsubscribe-auth/AAAMNS4GH2OLNECRK7YKAY3XVKRJVANCNFSM6AAAAAA3CI62HQ>
.
You are receiving this because you authored the thread.Message ID:
***@***.***>
|
Is your feature request related to a problem? Please describe.
Describe the solution you'd like
Describe alternatives you've considered
fluid" (2009) https://arxiv.org/abs/0901.1270 https://scholar.google.com/scholar?cluster=14044130315847002901&hl=en&as_sdt=5,43&sciodt=0,43
https://hal.science/hal-01248015v5/preview/Fluid-Quantum-Gravity-And-Relativity_Fedi-v5_Sept2016.pdf
Additional context
The text was updated successfully, but these errors were encountered: