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Research draft

parameter

vr.tr.parameter · XCT.QLT

Let an agent explain parameters and their role across mathematics, statistics, science, engineering and programming, distinguish parameters from variables and constants, support parameter estimation and tuning, and clarify usage.

Thing Registry Cross-cutting context

Research draft, second pass

A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.

written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify

Researched by: Claude

Purpose and description

Let an agent explain parameters and their role across mathematics, statistics, science, engineering and programming, distinguish parameters from variables and constants, support parameter estimation and tuning, and clarify usage.

A quantity that characterises a system, model, function or process and is held fixed for a given case while varying between cases, such as the mean of a distribution, a location parameter, the grid resolution of a simulation, the angular eccentricity of an ellipse or a dynamic parameter of a model, and in programming a named input to a function; parameters are distinguished from variables and constants by role rather than nature and are estimated, set or tuned in statistics, science and engineering.

What it is for: Quantities characterising a case of a system.

It can be explain the concept across fields; distinguish from variables and constants; support estimation and tuning; clarify usage.

Distinguishing features

Role-based distinction

Estimated or set

Cross-field

Multiple usages

What it looks like

Not physical; symbols and values in models.

How it is recognised

Fixed for a case, varying between cases

Characterises a model or function

A variable changes within a case; a constant never changes

Related models

is a kind of - category

variable

is a kind of - category

constant

is a kind of - category

concept

is related to - parameters of classifiers

classification

In practice

Families and kinds

statistical parameters such as means and location parameters

model parameters in science and engineering

simulation settings such as grid resolution

geometric parameters such as eccentricity

function parameters in programming

Standards and regulation

Mathematical and statistical conventions

Programming language specifications

Reporting standards for model parameters

Failure modes and hazards

Confusing parameters with variables or statistics

Overfitting from too many parameters

Ambiguous usage across fields

Also called

grid resolutionlocation parametertruncated meanangular eccentricitynumber of chloroplastdynamic parameterGreeksgrid spacingparameter of the roation of the earthlarge language model parameterorder parameterLove numberMaximum segment sizemeta category criterionorbital elementshyperparametercosmological parameterparameter of eclipsestatistical parameterpharmacokinetic parameterMeasures of pollutant concentrationMandelstam variablesPeskin–Takeuchi parameterproper orbital elementsKeplerian elementsslow-roll parameterscale parameternuisance parametershape parameter

Where this came from

wikidata · CC0 1.0

Source repository Registry entry point

Drafted structure

Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.

Understand What a parameter is.

Concepts.

Concept

Concept and distinctions.

Concept

Concept.

  1. What is a parameter, and how does it differ from a variable, a constant and a statistic? definition
  2. Which field usage is meant here? boundary

Fields

Parameters by field.

Fields

Fields.

  1. How are parameters used in statistics, physical models, simulations, geometry and programming? definition
  2. Which entry fits a specific usage? action
Estimate Estimating and tuning.

Practice.

Estimation

Parameter estimation.

Estimation

Estimation.

  1. How are parameters estimated from data, and how is uncertainty in estimates expressed? action
  2. Which entry fits statistical estimation? action

Tuning

Tuning and sensitivity.

Tuning

Tuning.

  1. How are model and simulation parameters such as grid resolution chosen, tuned and tested for sensitivity? action
  2. How is overfitting avoided? definition
Programming Parameters in code.

Computing.

Functions

Function parameters.

Functions

Functions.

  1. How do parameters and arguments work in functions, and how do languages pass them? definition
  2. Which entry fits a specific language? action

Config

Configuration parameters.

Config

Configuration.

  1. How are system and configuration parameters documented and managed? action
  2. Which entry fits configuration management? action
Learn Language and teaching.

Education.

Language

Usage of the word.

Language

Usage.

  1. How did parameter come to its technical and loose everyday senses, and how do style guides treat it? provenance
  2. Which references are standard? provenance

Teach

Teaching.

Teach

Teaching.

  1. How can the parameter concept be taught across mathematics and programming? action
  2. Which misconceptions arise? provenance

What the second pass must settle

  • Should statistical parameters be a separate entry?
  • How should estimation methods be linked?
  • How should programming usage be linked?
Draft as JSON