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REVIEW 3 major objections 4 minor 43 references

Neighbor displacement-based enhanced synthetic oversampling for multiclass imbalanced data

T0 review · 3 major / 4 minor · reviewed 2026-08-10 · deepseek-v4-flash

Pith's one-line read This paper claims that relocating noisy minority-class points toward their class centroids before random oversampling produces a multiclass resampler that outperforms 14 baselines on average G-mean across 20 datasets and nine classifiers.

desk verdict Interesting displacement-before-oversampling idea, but the evaluation resamples before the split, so the headline results don't measure generalization. read the letter →

arxiv 2501.04099 v1 pith:5INJEH7R submitted 2025-01-07 cs.LG

classification cs.LG
keywords multiclassimbalanceoversamplingrandomneighbordisplacementk-nearestneighborsG-meanFriedman-Nemenyitestimbalancedclassification
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper proposes NDESO, a hybrid resampling method for multiclass imbalanced classification. Its idea is to clean before balancing: find points whose k nearest neighbors are mostly from other classes, move them closer to their own class centroid by one average-neighbor-distance, and only then apply random oversampling. This preserves every point's class label while reducing overlap, which the authors argue avoids the information loss of undersampling and the noise amplification of SMOTE-style interpolation in sparse data. On 20 real-world datasets across nine classifiers, they report that NDESO achieves the highest average G-mean and the lowest mean rank among 15 resamplers, with the largest gains on the most extreme-imbalance datasets. If the comparison holds up, this is a low-cost, label-preserving preprocessing step that could be dropped into existing imbalanced-learning pipelines.

What carries the argument

The load-bearing mechanism is the NDE displacement rule. For a point $x_i$ whose $k$-nearest-neighbor neighborhood is majority other-class, with class centroid $r_{c_i}$, normalized direction $\vec{S}_v = (r_{c_i}-x_i)/S_i$, and $\phi_i$ the average distance from $x_i$ to its $k$ neighbors, the point is moved to $x'_i = r_{c_i} - \vec{S}_v\,\phi_i$. The rule compresses overlapping regions by pulling disputed points toward their own class center while keeping the original labels, and it requires only pairwise distances and a centroid, which is why it can run on very sparse classes. Random oversampling then balances the cleaned distribution.

What would settle it

Re-run the same comparison with the resampling pipeline embedded inside each cross-validation fold, fitting the NDE displacement and random oversampling only on the training portion, and compare the resulting G-mean ranks. NDESO's claimed edge would be falsified if its mean rank no longer leads, or if its average G-mean advantage over SMOTE-ENN and SMOTE-CDNN shrinks below the Nemenyi critical difference.

Watch

Extended reading notes

Core claim

The central claim is that noisy minority-class points should be repositioned rather than removed or relabeled. A point counts as noisy when more than half of its k nearest neighbors belong to different classes; NDE then computes the average distance from that point to those neighbors and shifts the point along the unit vector toward its own class centroid by exactly that distance. Random oversampling then duplicates minority points until class sizes match the majority. In the authors' experiments this two-stage procedure outperforms 14 baseline resamplers, including SMOTE variants, ADASYN, and SMOTE-CDNN, in average G-mean and in Friedman/Nemenyi mean rank, and it runs successfully on sparse datasets where several baselines fail because a minority class has too few members.

Load-bearing premise

The experiments assume that resampling the whole dataset before the training/test split gives an unbiased estimate of generalization; if synthetic copies of test points can leak into training, the reported G-mean advantage may not reflect performance on new data.

Editorial extensions

If this is right

  • Datasets with an extreme imbalance ratio, up to 853:1 in the paper, are where NDESO shows its largest gains, suggesting the cleaning step matters most when minority classes are tiny.
  • Because NDESO displaces rather than deletes or relabels points, no minority class is erased by preprocessing, in contrast to undersampling or edited-neighbor methods that can collapse a class to zero members.
  • NDESO runs on sparse datasets where SMOTE-family samplers fail with neighbor-count errors, which broadens the set of multiclass problems a single resampler can handle.
  • The method's extra cost over plain random oversampling is the pairwise-distance computation of NDE, so the reported accuracy gain is obtained without a generative model.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The main risk to the ranking is evaluation leakage: the protocol resamples before splitting, so a leak-free re-run with the resampler fitted inside each fold is the decisive test of whether NDESO's G-mean advantage is real.
  • NDE could be treated as a generic denoising front end: composing it with oversamplers other than ROS, such as SMOTE or ADASYN, might inherit the cleaning benefit while adding synthetic diversity; the paper's own NDE+SMOTE experiments suggest the displacement, not the final sampler, drives much of the gain.
  • Because the displacement rule only needs a distance metric, the same cleaning idea could transfer to image, spatial, or graph data once a pairwise distance is defined; the paper names big-data and non-tabular resampling as open directions.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. The paper proposes NDESO (Neighbor Displacement-based Enhanced Synthetic Oversampling), a hybrid resampler that first identifies points whose k-nearest neighbors are mostly from other classes, displaces those points toward their own class centroid, and then applies random oversampling to balance the class distribution. The authors evaluate NDESO against 14 baseline resamplers on 20 multiclass datasets with 9 classifiers, using G-mean and the Friedman/Nemenyi tests, and claim that NDESO achieves the highest average G-mean and the lowest mean rank. The core contribution is a displacement-based alternative to cleaning methods that delete noisy minority instances.

Significance. The idea of repositioning noisy minority points rather than deleting them is a plausible and potentially useful contribution to imbalanced multiclass resampling. The paper also provides a clear algorithmic description, a GitHub repository for reproducibility, and a broad comparison across datasets and classifiers. However, the main empirical claim is not supported by the experimental design as reported, because the evaluation protocol leaks test information into training. If the experiments were correctly re-run with the resampler fitted only on training folds, the rankings could change substantially. The current manuscript therefore does not establish the claimed superiority of NDESO.

major comments (3)
  1. [Section 5.2] The testing procedure resamples the full dataset before splitting: "A given dataset is tested using a resampling method to balance the class distributions. After resampling, the dataset is then partitioned into 80% training and 20% testing subsets using cross-validation." In NDESO, Algorithm 1 computes pairwise distances over the entire dataset, determines displaceable points using labels from the full dataset, and then random oversampling duplicates minority instances before the split. This means test instances can be repositioned or their synthetic copies can be placed into the training set, while the original test instances remain in the test set. For classifiers such as k-NN, SVC, and tree ensembles, this inflates the reported G-mean values and invalidates all ranks used in the Friedman and Nemenyi tests. The resampler must be fitted only within each training fold. This is a load-bearing flaw: the abstract's claim that NDESO 'outperforms its competitors regarding average G-mean score and achieves the lowest statistical mean rank' is not supported by the current protocol.
  2. [Section 5.3.2] The Nemenyi test results as described contradict the claim of statistical superiority. The paper states that 'no significant differences exist among ... Borderline-SMOTE, SMOTE-CDNN, SMOTE-ENN, and NDESO' and then immediately asserts that 'with its lowest average mean rank of 1.85 ... it signifies better performance.' Being in the same non-significant block as three other methods means the observed rank advantage over those methods is not statistically significant. The wording must be corrected to report the actual inference: NDESO is statistically tied with those three methods and significantly better than the remaining ones. As written, the discussion overstates the statistical evidence.
  3. [Tables 3 and 5] Many baseline methods have missing entries due to resampling failures (Table 2 lists 9 datasets for KMeans-SMOTE, 6 for SMOTE-ENN/ENN/ECDNN, etc.), yet average G-mean values and mean ranks are reported for all methods in Tables 3 and 5. The paper does not state how averages and ranks are computed in the presence of these missing values. If a method is ranked only on the datasets where it succeeded, different methods are compared on different subsets of datasets, which biases the comparison in favor of methods that always succeed (such as NDESO). The Friedman test also requires complete block data, so the reported p-value of 6.08e-20 is not interpretable unless the analysis was confined to the subset of datasets where all methods ran successfully or a valid incomplete-data method was used. The authors should either restrict all comparisons to the common subset of complete datasets, or use a paired analysis that explicitly accounts for missing values.
minor comments (4)
  1. [Section 4.1, Eq. (5)] The displacement formula x'_i = r_ci - S_v * phi_i moves the point beyond the centroid when the average neighbor distance phi_i exceeds the distance from x_i to the centroid. No condition is given to prevent the point from being relocated to the opposite side of the class center. The paper should specify the intended behavior or add clipping.
  2. [Algorithm 1, lines 14-17] The pseudocode sets R = X[y=cls] for each class and then refers to R[i] as the centroid for point i. Since R is a list of class-specific arrays, this indexing is not well-defined; the centroid for a point should be r_{c_i} as in Eq. (2). Please correct the notation.
  3. [Section 5.2] The number of cross-validation folds is computed as nsplits = min(5, min(ytrain)), but ytrain is defined only after the resampling step. Since resampling balances the classes, min(ytrain) will typically be the size of the majority class and will not reflect the original minority class size. Clarify the intended definition and the actual CV procedure used.
  4. [General presentation] Minor typographical issues include 'eucledian' in Algorithm 1 and the inconsistent formatting of class counts in Table 1 (e.g., the segment row has an unclosed bracket). These are cosmetic but should be cleaned up.

Circularity Check

1 steps flagged · score 6.0 of 10

NDESO's superiority claim rests on a circular evaluation protocol: Section 5.2 resamples the full dataset before the train/test split, so test points and their synthetic duplicates leak into training.

  1. other [Section 5.2 ('Testing procedure'); Algorithm 1 (NDESO/NDE), lines 2, 20, 24-26]
    "Section 5.2: "A given dataset is tested using a resampling method to balance the class distributions. After resampling, the dataset is then partitioned into 80% training and 20% testing subsets using cross-validation." Algorithm 1: "d = cdist(X, X)" ... "X[i] = rci - Sv * phi_i" ... "X, y= NDE(X, y, cdist, k)" and "RANDOM OVER(X, y)"."

    NDESO is applied to the full dataset X before any split: NDE computes pairwise distances over all points, displaces points using Eq. (5), and random oversampling duplicates minority samples. Only after this does Section 5.2 partition the resampled data into train/test. Consequently, the 20% 'test' instances are part of the input used to construct the training set: their positions are changed and exact duplicates of them are added to the training pool. Classifiers such as k-NN, SVC, and tree ensembles can then effectively memorize the test points, and the reported G-mean and Friedman/Nemenyi ranks are computed on an in-sample evaluation.

full rationale

The NDE displacement rule and the ROS duplication are defined directly on the data; no parameter is fitted to the G-mean and no self-citation is load-bearing. However, the experimental protocol in Section 5.2 resamples the entire dataset before the 80/20 partition. Algorithm 1's cdist(X,X), displacement update, and random oversampling therefore operate on the same X that later supplies the test fold, and the random oversampling can place exact duplicates of test instances into the training set. Because k-NN, SVC, and tree ensembles are sensitive to near-duplicates, the reported average G-mean of 0.9362 and mean rank of 2.88 are in-sample numbers, not independent predictions. This makes the headline empirical claim partially circular: the 'test' performance is produced by construction from the test data themselves. The algorithm itself is not a disguised re-derivation of the benchmark, and there is no self-citation chain, so the circularity is confined to the evaluation protocol.

Assumptions & free parameters 1 free parameters · 5 assumptions · 0 invented entities

The algorithm itself is simple and free of fitted coefficients, but it rests on a noise model, a displacement assumption, an unstated geometric condition, and a flawed evaluation assumption. The noise model equates label disagreement among k neighbors with noisiness; the displacement formula only moves points toward the centroid when the average neighbor distance is smaller than the distance to the centroid; and Section 5.2 resamples before the train/test split. These assumptions are load-bearing for the reported results.

free parameters (1)
  • k (number of neighbors) = 5
    Chosen as default; Table 6 reports k=5 gives the highest average G-mean, so the headline comparison uses the best-performing k on the same benchmark data.
assumptions (5)
  • domain assumption A data point whose k-nearest neighbors are mostly from other classes is noisy and should be repositioned toward its own class centroid.
    Section 4.1, Eq. (1): displaceable points are defined by A < B, i.e., more neighbors from other classes than from the same class.
  • domain assumption Moving those points closer to their centroid and then random oversampling improves class separation and downstream G-mean.
    Section 4.2 pairs NDE with random oversampling; no proof is given that this preserves the data distribution or reduces overlap after resampling.
  • ad hoc to paper Eq. (5) moves each displaced point closer to its centroid; this requires the average neighbor distance phi_i to be smaller than the point's distance to the centroid.
    The formula x'_i = r_ci - S_v * phi_i places the new point on the far side of the centroid at distance phi_i; the paper states 'displace xi closer to its centroid' without stating or checking the phi_i < ||x_i - r_ci|| condition.
  • ad hoc to paper Resampling the full dataset before the train/test split yields valid generalization estimates.
    Section 5.2 applies the resampler before the 80/20 split; standard practice resamples only training folds, so this assumption is load-bearing and likely false.
  • domain assumption The binary G-mean definition in Eq. (7) can be applied to multiclass problems without further specification.
    Section 4.3.1 defines G-mean for sensitivity/specificity but does not explain how it is averaged across more than two classes in the experiments.

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Cite this review

Pith. "Pith review of Neighbor displacement-based enhanced synthetic oversampling for multiclass imbalanced data." pith.science (2026). https://pith.science/paper/5INJEH7R

@misc{pith2026250104099,
  author       = {Pith},
  title        = {Pith review of: Neighbor displacement-based enhanced synthetic oversampling for multiclass imbalanced data},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/5INJEH7R}},
  note         = {Machine review of arXiv:2501.04099}
}
read the original abstract

Imbalanced multiclass datasets pose challenges for machine learning algorithms. These datasets often contain minority classes that are important for accurate prediction. Existing methods still suffer from sparse data and may not accurately represent the original data patterns, leading to noise and poor model performance. A hybrid method called Neighbor Displacement-based Enhanced Synthetic Oversampling (NDESO) is proposed in this paper. This approach uses a displacement strategy for noisy data points, computing the average distance to their neighbors and moving them closer to their centroids. Random oversampling is then performed to achieve dataset balance. Extensive evaluations compare 14 alternatives on nine classifiers across synthetic and 20 real-world datasets with varying imbalance ratios. The results show that our method outperforms its competitors regarding average G-mean score and achieves the lowest statistical mean rank. This highlights its superiority and suitability for addressing data imbalance in practical applications.

Figures

Figures reproduced from arXiv: 2501.04099 by the authors.

Figure 1
Figure 1. Visualization of resampling on a sparse multiclass dataset: (a) original dataset; (b) noisy resampled dataset [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Visual illustration of the CDNN algorithm [32] [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. The overlapping (before) and cleaned (after) data points [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (8 more)
Figure 4
Figure 4. Figure 4: Visual illustration of displace-able data point identification [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]
Figure 5
Figure 5. Figure 5: G-mean scores of our NDE algorithm evaluated across three classifiers for various [PITH_FULL_IMAGE:figures/full_fig_p009_5.png]
Figure 6
Figure 6. Figure 6: G-mean scores of our NDE algorithm evaluated across three classifiers for various distance metrics [PITH_FULL_IMAGE:figures/full_fig_p010_6.png]
Figure 7
Figure 7. Figure 7: Scatter plots of our NDE algorithm compared to other algorithms [PITH_FULL_IMAGE:figures/full_fig_p010_7.png]
Figure 8
Figure 8. Figure 8: G-mean scores of our NDE algorithm evaluated across three classifiers for various samplers [PITH_FULL_IMAGE:figures/full_fig_p011_8.png]
Figure 9
Figure 9. Figure 9: Comparison of average G-mean scores of resampling methods across classifiers and datasets [PITH_FULL_IMAGE:figures/full_fig_p015_9.png]
Figure 10
Figure 10. Figure 10: Scatter plots of resampling methods applied to the [PITH_FULL_IMAGE:figures/full_fig_p015_10.png]
Figure 11
Figure 11. Figure 11: Confusion matrices for resampling methods evaluated using G-mean scores on [PITH_FULL_IMAGE:figures/full_fig_p016_11.png]

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Pith tools

Reviewed August 10, 2026 · model on record in the stance chip above.