Playing Around With Idyll
Experiment: Double Ascent
[var name:'currentStep' value:1 /]
[var name:'fullData' value: `[
{complexity: 0, understanding: 30},
{complexity: 1, understanding: 40},
{complexity: 2, understanding: 50},
{complexity: 3, understanding: 65},
{complexity: 4, understanding: 75},
{complexity: 5, understanding: 82},
{complexity: 6, understanding: 86},
{complexity: 7, understanding: 88},
{complexity: 8, understanding: 87},
{complexity: 9, understanding: 83},
{complexity: 10, understanding: 75},
{complexity: 11, understanding: 65},
{complexity: 12, understanding: 50},
{complexity: 13, understanding: 40},
{complexity: 14, understanding: 35},
{complexity: 15, understanding: 40},
{complexity: 16, understanding: 50},
{complexity: 17, understanding: 65},
{complexity: 18, understanding: 80},
{complexity: 19, understanding: 90},
{complexity: 20, understanding: 95},
{complexity: 21, understanding: 97},
{complexity: 22, understanding: 98},
{complexity: 23, understanding: 99},
{complexity: 24, understanding: 99}
] ` /]
[derived name:'visibleData' value: `currentStep === 1 ? fullData.slice(0, 8) : currentStep === 2 ? fullData.slice(0, 14) : fullData ` /]
[div className:'chart-container']
###### The Shape of Understanding
[Chart
type:'line'
data:visibleData
x:'complexity'
y:'understanding'
range: `[0, 100] `
domain: `[0, 25] `
/]
[div className:'button-container' style: `{textAlign: "center"} `]
[em] Complexity [/em]
[Button
style: `{
display: "inline",
background: currentStep <= 1 ? 'gray' : 'white',
cursor: currentStep <= 1 ? "not-allowed" : "pointer",
} `
disabled: `currentStep <= 1 `
onClick: `currentStep = Math.max(1, currentStep - 1) `
]
-
[/Button]
[Button
style: `{
display: "inline",
background: currentStep >= 3 ? 'gray' : 'white',
cursor: currentStep >= 3 ? "not-allowed" : "pointer",
} `
disabled: `currentStep >= 3 `
onClick: `currentStep = Math.min(3, currentStep + 1) `
]
+
[/Button]
[/div]
[div className:'narrative-text']
[Conditional if: `currentStep === 1 `]
We used to think it was simple: add complexity, gain understanding.
Until you hit the peak...
[/Conditional]
[Conditional if: `currentStep === 2 `]
Then confusion sets in.
More parameters, *less* understanding.
The model memorizes but doesn't comprehend.
[/Conditional]
[Conditional if: `currentStep === 3 `]
But keep going...
Something beautiful emerges.
A deeper kind of understanding.
**The double descent.**
[/Conditional]
[/div]
[/div]