Product Rating Distribution Estimation Using an LDL-Based Method with Uniform Manifold Approximation and Projection
Bibliographic record
Abstract
Ratings of products serve as a crucial indicator for assessing the impact of products in the retail market. Existing methods in rating estimation of product primarily use single-label machine learning methods, where the prediction may fail to represent the whole properties of products. This paper explores a challenging task to obtain product rating distribution estimation (RDE), which predict the distribution of product ratings instead of a single rating. Specifically, we focus on RDE of follower brands product, which provide relatively objective artifacts and easier to collect data. We formulate the RDE task based on a label distribution learning (LDL) framework, which uses the maximum entropy model functions as the output component of LDL, and generate the probability distribution for each category. However, one of the main challenge of conducting the RDE task within the LDL framework is that the large number of labels leads to an exponentially growing output space, which increases model complexity and reduces its performance. To address this problem, we propose a new model, called RDE-LDL, with an adaptive manifold learning module. The RDE-LDL method use uniform manifold approximation and projection (UMAP) to represent the label distribution manifold via fuzzy simplicial sets, which encodes label correlation information, and allows to regularize the maximum entropy model’s output based on label correlation. Quantitative and qualitative experiments conducted on a marketing dataset verified the demonstrates the effectiveness of the RDE-LDL method with the UMAP-based module.
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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 | 0.004 |
| 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 | 0.002 |
| Insufficient payload (model declined to judge) | 0.002 | 0.001 |
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".