1 Automated Syllabus of Math Papers
Built by Rex W. Douglass @RexDouglass ; Github ; LinkedIn
Papers curated by hand, summaries and taxonomy written by LLMs.
2 Graph theory
2.1 Directed Acyclic Graph
Consider the underlying causal mechanisms and context when analyzing data, as this enables better interpretation and generalization of results beyond statistical associations alone. (Pearce and Lawlor 2016)
Carefully consider the causal relationships between variables and avoid adjusting for variables that are descendants of an intermediate variable, as doing so can introduce bias into estimates of causal effects. (Howards et al. 2012)
Utilize directed acyclic graphs (DAGs) to identify and categorize effect modification in causal relationships, distinguishing between direct effect modification, indirect effect modification, effect modification by proxy, and effect modification by a common cause. (VanderWeele and Robins 2007)
2.2 Graph
- Adopt an encoder-decoder framework when working with dynamic graphs, where the encoder generates embeddings for nodes and relationships, and the decoder uses those embeddings to make predictions or inferences about the graph structure or behavior. (Kazemi et al. 2019)
2.3 Graph Theory
- Consider using a novel estimator for linear models with multi-way fixed effects, which involves solving a linear system on a weighted graph using recent advances in spectral graph theory, resulting in a nearly-linear time estimator that performs well with large datasets and high-dimensional fixed effects. (Abraham and Neiman 2012)