What makes a good feedforward computational graph?
Not on the map. Why?
Abstract (arXiv)
As implied by the plethora of literature on graph rewiring, the choice of computational graph employed by a neural network can make a significant impact on its downstream performance. Certain effects related to the computational graph, such as under-reaching and over-squashing, may even render the model incapable of learning certain functions. Most of these effects have only been thoroughly studied in the domain of undirected graphs; however, recent years have seen a significant rise in interest in feedforward computational graphs: directed graphs without any back edges. In this paper, we study the desirable properties of a feedforward computational graph, discovering two important complementary measures: fidelity and mixing time, and evaluating a few popular choices of graphs through the lens of these measures. Our study is backed by both theoretical analyses of the metrics' asymptotic behaviour for various graphs, as well as correlating these metrics to the performance of trained neural network models using the corresponding graphs.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 35 of its 49 references that are in the map. First posted on arXiv 10 Feb 2025.
Builds on
35 of 49 references.
References · 35
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23 more
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Built on by
Citing papers per year: 2025: 4; 2026: 1.
5 papers.
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- 2025Neural Message-Passing on Attention Graphs for Hallucination Detectioncited by 5
- 2025Beyond Parallelism: Synergistic Computational Graph Effects in Multi-Head Attentioncited by 1
- 2025Caterpillar GNN: Replacing Message Passing with Efficient Aggregationcited by 0
- 2026Perplexity Cannot Always Tell Right from Wrong30 Jan 2026
- 2025Neural Message-Passing on Attention Graphs for Hallucination Detection29 Sep 2025
- 2025Beyond Parallelism: Synergistic Computational Graph Effects in Multi-Head Attention28 Jun 2025
- 2025Caterpillar GNN: Replacing Message Passing with Efficient Aggregation7 Jun 2025
- 2025Why do LLMs attend to the first token?3 Apr 2025