diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000000000000000000000000000000000000..9bff9eb03bc468559aa843a862eb20fa9f7442f3 --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ +node_modules/ +screenshots/ diff --git a/components.json b/components.json new file mode 100644 index 0000000000000000000000000000000000000000..8c574b77efa259b1ed59d50c9661a6ceff15fb93 --- /dev/null +++ b/components.json @@ -0,0 +1,17 @@ +{ + "$schema": "https://ui.shadcn.com/schema.json", + "style": "default", + "rsc": true, + "tsx": true, + "tailwind": { + "config": "tailwind.config.ts", + "css": "src/app/globals.css", + "baseColor": "slate", + "cssVariables": true, + "prefix": "" + }, + "aliases": { + "components": "@/components", + "utils": "@/lib/utils" + } +} \ No newline at end of file diff --git a/index.html b/index.html index b0c4b3666032a737f3903db53e6a8a9272483e28..772862a1b61edc657f91c30e9552710bbcc42eed 100644 --- a/index.html +++ b/index.html @@ -1,19 +1,1123 @@ - - - - - - My static Space - - - -
-

Welcome to your static Space!

-

You can modify this app directly by editing index.html in the Files and versions tab.

-

- Also don't forget to check the - Spaces documentation. -

-
- - + + + + + + DAT Creativity Game Progress + + + + +
+
+

DAT Creativity Game Progress

+

An interactive visualization of my journey through the Divergent Association Task (DAT) creativity game, showcasing the hillclimbing optimization technique.

+
+ +
+ +
+
+

+ + + + + + + Performance Statistics +

+
+
+
+
+
+ + + + + + + + + Top 0.02% +
+
95.08
+
Final Creativity Score
+
+ +
+
+ + + + + + + Percentile +
+
99.98%
+
Better than others
+
+ +
+
+ + + + + Duration +
+
106m
+
Total game time
+
+ +
+
+ + + + + Optimization +
+
13
+
Optimization rounds
+
+ +
+
+ + + + Changes +
+
45
+
Total word swaps
+
+ +
+
+ + + + + + + Vocabulary +
+
30
+
Unique words used
+
+
+ +
+

Semantic Distance Analysis

+
+
+
Average Distance
+
95.1
+
Across all word pairs
+
+
+
Maximum Distance
+
104
+
Most distant pair
+
+
+
Minimum Distance
+
79
+
Closest pair (non-zero)
+
+
+ +
+

Key Insights

+
    +
  • • Achieved exceptional creativity score through systematic optimization
    • +
  • • Hillclimbing algorithm effectively explored the semantic space
    • +
  • • 3.46 average word changes per round shows focused refinement
    • +
  • • High semantic distances indicate successful divergent thinking
    • +
+
+
+
+
+ + +
+
+

+ + + + + Game Progress Timeline +

+
+
+
+ +
+
1
+
+
+

Round 1

+ 11:53 PM +
+
+ brilliance + sports + peace + rocket + icecream + +5 more +
+
+
+ + +
+
2
+
+
+

Round 2 + + + +

+ 12:00 AM +
+
+ stochastic + fuselage + pitfall + screwdriver + sand + +5 more +
+
+ +10 added + -10 removed +
+
+
+ + +
+
3
+
+
+

Round 3

+ 12:00 AM +
+
+ stochastic + fuselage + pitfall + screwdriver + sand + +5 more +
+
+
+ + +
+
4
+
+
+

Round 4 + + + +

+ 01:33 AM +
+
+ stochastic + fuselage + throne + icecream + cricket + +5 more +
+
+ +6 added + -6 removed +
+
+
+ + +
+
8
+
+
+

Round 8 + + + +

+ 01:36 AM +
+
+ stochastic + fuselage + throne + corporate + arthritis + +5 more +
+
+ +2 added + -2 removed +
+
+
+ + +
+
10
+
+
+

Round 10 + + + +

+ 01:38 AM +
+
+ stochastic + fuselage + throne + icecream + foosball + +5 more +
+
+ +3 added + -3 removed +
+
+
+ + +
+
13
+
+
+

Round 13 + + + +

+ 01:39 AM +
+
+ stochastic + fuselage + throne + corporate + arthritis + +2 more +
+
+ -3 removed +
+
+
+
+
+
+ + +
+
+

+ + + + + Word Evolution & Optimization +

+
+
+
Track how words were systematically replaced to maximize semantic distance using hillclimbing optimization.
+ + +
+
+ Round 2 + + + + + Optimization step +
+
+
+
+ + + + Removed + (Lower semantic distance) +
+
+ brilliance + sports + peace + rocket + icecream + blush + friends + rhythm + velvet + ocean +
+
+
+
+ + + + + Added + (Higher semantic distance) +
+
+ stochastic + fuselage + pitfall + screwdriver + sand + spices + arthritis + printer + flute + dinosaurs +
+
+
This change increased the overall semantic distance between word pairs.
+
+
+ + +
+
+ Round 4 + + + + + Optimization step +
+
+
+
+ + + + Removed + (Lower semantic distance) +
+
+ pitfall + screwdriver + sand + spices + flute + dinosaurs +
+
+
+
+ + + + + Added + (Higher semantic distance) +
+
+ throne + icecream + cricket + remote + eel + speedbreaker +
+
+
This change increased the overall semantic distance between word pairs.
+
+
+ + +
+
+ Round 13 + + + + + Final optimization step +
+
+
+
+ + + + Removed + (Lower semantic distance) +
+
+ icecream + foosball + speedbreaker +
+
+
Final optimization achieved score of 95.08 with 7 highly diverse words.
+
+
+ +
+

Hillclimbing Strategy

+

Each word replacement represents a "hill climbing" step where words with lower semantic distances to other words in the set were systematically replaced with words that had higher distances, improving the overall creativity score.

+
+
+
+ + +
+
+

+ + + + Understanding Hillclimbing Optimization +

+
+
+
+

Hillclimbing is a local search optimization algorithm that continuously moves towards better solutions by making incremental improvements. Think of it like climbing a hill in foggy weather - you can only see your immediate surroundings, so you always take the step that goes uphill.

+
+
+
+

+ + + + + Algorithm Steps +

+
+
+ 1 +
Initialize: Start with a random solution (10 diverse words)
+
+
+ 2 +
Evaluate: Calculate semantic distances between all word pairs
+
+
+ 3 +
Find weakness: Identify the word pair with smallest distance
+
+
+ 4 +
Improve: Replace one word with a more distant alternative
+
+
+ 5 +
Repeat: Continue until no improvement is possible
+
+
+
+
+

+ + + + + + Application to DAT +

+
+
+

Objective Function

+

Maximize the sum of semantic distances between all word pairs

+
+
+

Neighbor Generation

+

Replace one word at a time with alternatives from vocabulary

+
+
+

Local Optimum

+

Stop when no single word replacement improves the score

+
+
+
+
+ +
+
+

Why Hillclimbing Works Here

+
    +
  • +
    + Greedy improvement: Each word replacement immediately improves the score +
    • +
  • +
    + Fast convergence: Reaches a good solution quickly +
    • +
  • +
    + Intuitive process: Mimics how humans naturally optimize +
    • +
+
+
+

Potential Limitations

+
    +
  • +
    + Local optima: May get stuck in suboptimal solutions +
    • +
  • +
    + Initial dependency: Result depends on starting words +
    • +
  • +
    + Single-word changes: Cannot make coordinated multi-word swaps +
    • +
+
+
+ +
+

+ + + + + My Implementation Result +

+

Despite these theoretical limitations, the hillclimbing approach was highly effective for the DAT creativity game, achieving a score of 95.08 and ranking in the 99.98th percentile.

+

This success suggests that the semantic distance landscape for this problem has favorable properties for local search, with relatively few problematic local optima.

+
+
+
+ + +
+
+

+ + + + + + + + Semantic Distance Matrix +

+
+
+
+

Interactive matrix showing semantic distances between final word pairs

+
+ + + + + + Score: 95.08 +
+
+ +
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
stochasticfuselagethronecorporatearthritischillilens
stochastic
0
103
100
93
94
98
94
fuselage
103
0
94
98
96
91
79
throne
100
94
0
95
98
101
98
corporate
93
98
95
0
97
100
92
arthritis
94
96
98
97
0
86
87
chilli
98
91
101
100
86
0
104
lens
94
79
98
92
87
104
0
+
+ +
+
+
+
+ Low distance +
+
+
+ Medium distance +
+
+
+ High distance +
+
+ Matrix is symmetric +
+ +
+

Matrix Analysis

+
+
+ Average Distance: +
95.1
+
+
+ Highest Distance: +
104
+
+
+ Lowest Distance: +
79
+
+
+
+
+
+ + +
+
+

What is the DAT Creativity Game?

+

Understanding the Divergent Association Task

+
+
+

The Divergent Association Task (DAT) is a creativity assessment that measures your ability to think of diverse, unrelated concepts. Players must generate 10 words that are as semantically distant from each other as possible.

+

The challenge lies in finding words that share minimal conceptual overlap, requiring creative thinking and broad knowledge across different domains.

+
+
+
+
+ + \ No newline at end of file diff --git a/next-env.d.ts b/next-env.d.ts new file mode 100644 index 0000000000000000000000000000000000000000..4f11a03dc6cc37f2b5105c08f2e7b24c603ab2f4 --- /dev/null +++ b/next-env.d.ts @@ -0,0 +1,5 @@ +/// +/// + +// NOTE: This file should not be edited +// see https://nextjs.org/docs/basic-features/typescript for more information. diff --git a/next.config.mjs b/next.config.mjs new file mode 100644 index 0000000000000000000000000000000000000000..00c22ea6f1937dddc594196987beb37b38ba843f --- /dev/null +++ b/next.config.mjs @@ -0,0 +1,10 @@ +/** @type {import('next').NextConfig} */ +const nextConfig = { + output: 'export', + trailingSlash: true, + images: { + unoptimized: true + } +}; + +export default nextConfig; \ No newline at end of file diff --git a/out/.DS_Store b/out/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..60fbf5934a3753f1509368a7ae869ce1fc31a265 Binary files /dev/null and b/out/.DS_Store differ diff --git a/out/404.html b/out/404.html new file mode 100644 index 0000000000000000000000000000000000000000..f845c37267451ad398b1e8ba295eacc871d28cf2 --- /dev/null +++ b/out/404.html @@ -0,0 +1 @@ +404: This page could not be found.DAT Creativity Game Progress

404

This page could not be found.

\ No newline at end of file diff --git a/out/404/index.html b/out/404/index.html new file mode 100644 index 0000000000000000000000000000000000000000..f845c37267451ad398b1e8ba295eacc871d28cf2 --- /dev/null +++ b/out/404/index.html @@ -0,0 +1 @@ +404: This page could not be found.DAT Creativity Game Progress

404

This page could not be found.

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