pinns-scientific-ml

pinns-scientific-ml is a skill for Claude Code, Codex from SFETNI/Deep-Matter-Chem-Skills. It costs 8 tokens per session (3,907 once invoked), scanned A, original, MIT.

A guide to physics-informed neural networks, which are neural networks trained to fit data while also following known scientific equations. These equations can describe how a system changes across space or time.

In plain words
What is it for?
Use it for equation-based simulations, inverse problems, identifying unknown parameters, and learned approximations of systems described by partial differential equations.
Why use it?
It helps when data is scarce or when predictions must respect governing equations, while also encouraging checks against established numerical methods such as finite-element models.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit Use it for equation-based simulations, inverse problems, identifying unknown parameters, and learned approximations of systems described by partial differential equations.

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Install with agentmods
npx agentmods add skills/sfetni/deep-matter-chem-skills/pinns-scientific-ml
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add SFETNI/Deep-Matter-Chem-Skills --skill pinns-scientific-ml
Clone the repo
git clone --depth 1 https://github.com/SFETNI/Deep-Matter-Chem-Skills

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for pinns-scientific-ml

README.md
[![agentmods](https://agentmods.dev/badge/skills/sfetni/deep-matter-chem-skills/pinns-scientific-ml/github.svg)](https://agentmods.dev/skills/sfetni/deep-matter-chem-skills/pinns-scientific-ml)
Your own site
<a href="https://agentmods.dev/skills/sfetni/deep-matter-chem-skills/pinns-scientific-ml"><img src="https://agentmods.dev/badge/skills/sfetni/deep-matter-chem-skills/pinns-scientific-ml/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for pinns-scientific-ml

Your own site · 80×15
<a href="https://agentmods.dev/skills/sfetni/deep-matter-chem-skills/pinns-scientific-ml"><img src="https://agentmods.dev/badge/skills/sfetni/deep-matter-chem-skills/pinns-scientific-ml.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 8 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 3,907 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00008 $0.03907
Opus 5 $0.00004 $0.01954
Sonnet 5 $0.00002 $0.00781
Haiku 4.5 $0.00001 $0.00391

Measured 12d ago against content hash ab5a89568ff3, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-12, from the pricing page.

Security

Grade A, and why

pinns-scientific-ml scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 12d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/scientific-ml/pinns-scientific-ml/SKILL.md · 291 lines

How it starts

The opening of the file, as written. The whole thing — 291 lines — stays where its author put it; the contents beside it link to each section on GitHub.

PINNs for Scientific Machine Learning

Description

This skill covers physics-informed neural networks (PINNs) for scientific and engineering modeling: strong-form and weak-form physics losses, PDE residuals, boundary and initial condition enforcement, inverse problems, parameter identification, surrogate modeling for PDE systems, optimizer choices, validation, uncertainty analysis, and comparison against FEM, finite difference, spectral methods, and Gaussian-process surrogates. Invoke this skill when a neural model must satisfy known governing equations while fitting sparse data or approximating a parametric PDE solution.

Domain Context

PINNs approximate unknown fields with neural networks and train them by minimizing a combination of data mismatch and physics residual losses. The physics loss is usually computed by automatic differentiation of the network output with respect to space, time, and parameters. This makes PINNs attractive for inverse problems, sparse-data settings, moving between data and governing equations, and building differentiable surrogates for PDE systems.

PINNs are not a drop-in replacement for finite element, finite difference, finite volume, or spectral solvers. Classical solvers usually remain more reliable for well-posed forward PDEs with known geometry, boundary conditions, and material parameters. PINNs can be useful when data are sparse, parameters are unknown, the solution needs to be differentiable with respect to inputs, or the model must combine noisy measurements and governing equations. They can fail silently through loss imbalance, spectral bias, poor boundary enforcement, non-identifiability, bad nondimensionalization, or weak validation. [EXPERT REVIEW NEEDED]

The physical interpretation of a PINN depends on the exact loss. A network that minimizes a PDE residual at collocation points is not guaranteed to satisfy conservation, boundary conditions, shocks, discontinuities, or sharp interfaces unless the formulation and sampling strategy enforce them. Weak-form or variational PINNs can improve treatment of integral constraints and lower derivative order, but introduce quadrature, test-function, and domain-integration choices. [EXPERT REVIEW NEEDED]

Read the full file on GitHub · 291 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 12d ago First seen · 291 lines · 8 tokens per session scan A ab5a89568ff3

Subscribe to this mod's changes

pinns-scientific-ml is a skill published in the GitHub repository SFETNI/Deep-Matter-Chem-Skills (6 stars, last pushed 1mo ago), licensed MIT. It adds 8 tokens to every session and 3,907 once invoked, about $0.0000 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-31.

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