Modeling Non-Diffuse Sound Fields in Room Acoustics: From Murray Hodgson’s Early Works to The Diffusion Equation Model
Bibliographic record
Abstract
The concept of diffuse sound field in room acoustics is the basic assumption of the classical theory or reverberation. This assumption is however false in many practical situations where the reverberant sound field undergoes significant spatial variations in the room. Murray Hodgson has dedicated an important part of his research activities to the study of such non-diffuse sound fields, through studies combining generally both experimental and modeling aspects. Some of Hodgson’s early contributions in link with this topic are first presented. In a second part, the paper presents some developments concerning a statistical model of non-diffuse sound fields based on a diffusion process. The paper focuses in particular on the modeling of mixed reflections within this diffusion model, the application of this model to industrial workrooms, and the modeling of energy flows by using the Fick’s law. All these developments are a natural continuation of Hodgson's work, concerning numerous issues that he raised on the modeling of non-diffuse sound fields.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".