arXiv subjects

Jeffrey Lu

Publications and source records attributed to Jeffrey Lu.

3 recordsLinked to original sources

arXiv2023

Computational Validation of a Mathematical Model of Stable Multi-Species Communities in a Hawk Dove Game

We revisit the original hawk-dove game with slight modifications to payoff values while maintaining the fundamental principles of interaction. The practical robustness of the theoretical tools of game theory is tested on a simulated population of hawks and doves with varying initial population distributions and peak growth rates. Additionally, we aim to find conditions in which the entire community fails or becomes a single-species population. The results show that the predicted community distribution is established by the majority of communities but fails to exist in communities with extreme initial imbalances in species distribution and insufficient growth rates. We also find that greater growth rates can compensate for more imbalanced initial conditions and that more balanced initial conditions can compensate for lower growth rates. Overall, the simple theoretical model is a strong predictor of the stable behavior of simulated multi-species communities.

q-bio.PE↗

arXiv2023

Deep Manifold Learning for Reading Comprehension and Logical Reasoning Tasks with Polytuplet Loss

The current trend in developing machine learning models for reading comprehension and logical reasoning tasks is focused on improving the models' abilities to understand and utilize logical rules. This work focuses on providing a novel loss function and accompanying model architecture that has more interpretable components than some other models by representing a common strategy employed by humans when given reading comprehension and logical reasoning tasks. Our strategy involves emphasizing relative accuracy over absolute accuracy and can theoretically produce the correct answer with incomplete knowledge. We examine the effectiveness of this strategy to solve reading comprehension and logical reasoning questions. The models were evaluated on the ReClor dataset, a challenging reading comprehension and logical reasoning benchmark. We propose the polytuplet loss function, which forces prioritization of learning the relative correctness of answer choices over learning the true accuracy of each choice. Our results indicate that models employing polytuplet loss outperform existing baseline models, though further research is required to quantify the benefits it may present.

cs.CL↗

arXiv2022

The Impact of Socioeconomic Factors on Health Disparities

High-quality healthcare in the US can be cost-prohibitive for certain socioeconomic groups. In this paper, we examined data from the US Census and the CDC to determine the degree to which specific socioeconomic factors correlate with both specific and general health metrics. We employed visual analysis to find broad trends and predictive modeling to identify more complex relationships between variables. Our results indicate that certain socioeconomic factors, like income and educational attainment, are highly correlated with aggregate measures of health.

cs.CY↗