Code Projects
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Linaia-Agon [code] |
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Iannis Xenakis's musical piece Linaia-Agon consists of 4 zero-sum games. |
| The games correspond to a mythical duel between Linus and Apollo. | |
| Moves in each game matrix correspond to a musical note or passage. | |
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A natural question is: what are Linus's odds of winning? (Hint: very low.) By simulating many duels (under various parameters), we can answer it. |
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Rbitrage |
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Trading $1 to euros and back: get $1. Many currencies: can get over $1. |
| This program finds maximum profits from misaligned exchange rates. | |
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Currencies are a graph, edges are exchange rates – use graph algorithms. Shortest path algorithm (Bellman-Ford) finds negative cycles in O(n3) time. |
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A Rose for Emily [code] [blog] |
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Constraint solving in Prolog to analyze non-linear timeslines in stories. |
| Faulkner's story contains various events, plus inter-temporal references. | |
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Encode these as equations: if A happened 6 years before B, then A+6=B. |
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The constraint solver shows which orderings of events are consistent. This method formally shows a story's virtuality, or simplex of meaning. |
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Mapping Poverty [slides] |
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Hour-long lecture on using neural networks in development economics. |
| Explains neural nets for economists, by analogies with OLS regression. | |
| Surveys research at MIT using convolutional neural nets to estimate GDP. | |
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Shows how satellite images can proxy for GDP in countries without data. Plan to use in research (based on my thesis) on China's poverty counties. |
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Genetic Algorithms and Taxes [survey] |
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Genetic algorithms solve problems by computational Darwinism. |
| Solutions ‘compete’ with each other, judged by a fitness function. | |
| Over generations, candidate solutions evolve toward an optimum. | |
| Good for problems where data is unavailable—like tax evasion. |
