## **2. Related to W3**
In this study, we identified three key challenges associated with existing OVPS methodologies (VLPart, OV-PARTS) and proposed an enhanced OVPS approach to address these issues: (a) Lack of generalization, (b) Ambiguous boundaries, and (c) Missing underrepresented parts. In the following, we clarify how the proposed approach addresses the key challenges.
##### **(a) Lack of generalization:**
To address generalization issues, we develop generalized part guidance and object guidance. (Section 3.2: L117-176)
Generalized part guidance is designed to learn the part class across (object-specific part) base classes in the training set so as to improve performance on novel classes in testing. Object guidance is used to resolve the ambiguity of the same part category name belonging to a different object class by using object-level supervision. Our results confirm that misclassification has reduced: qualitatively in Fig. 5 (row 3), Fig. R1 (a), Section 3.2.2 (suppl.), and quantitatively in Tables 1, 2, 3 (especially under the Pred-All setup), Table 4 (cross dataset), and Table R2 based on the m-IoU metric. An ablation study in Table R2 clearly justifies the roles of both guidances.
##### **(b) Ambiguous boundaries:**
To overcome the ambiguity in part-level supervision, we leverage the common understanding that these parts should be distinct and non-overlapping. To achieve this, we introduce a constraint $\mathcal{L}\_{sep}$, which ensures that attention activations from different object-specific parts remain disjoint within an object. (Section 3.3.1: L194-203).
It is supported by qualitative results in Fig. 5 (row 1) where ambiguous boundaries are mitigated, Fig. R1(b), and Section 3.2.2 (suppl.), where non-fully covered part predictions occur in other baselines, particularly in the Pred-All setting. Quantitative results are presented in Table R3, based on the boundary IoU metric. An ablation study in Tables A5 and A6 further demonstrates the effectiveness of our proposed loss function in mitigating ambiguous boundaries.
##### **(c) Missing underrepresented parts:**
To ensure that underrepresented parts, such as small or less frequent ones, are not ignored, we propose $ \mathcal{L}\_{enh} $. This is achieved by maximizing the attention activation values for these parts, allowing them to be more effectively identified. (Section 3.3.2: L204-214)
Our method is supported by qualitative results shown in Fig. 4, Fig. 5 (row 2), Fig. R1 (c), and Section 3.2.1 (suppl.) where small part classes such as bird’s tail and beak are correctly segmented. Quantitative results are provided in Table 6, Fig. R4, Table A1, and Table A2, using the metrics m-IoU and recall. Ablation studies on m-IoU in Section 4.3, Table 5, and Recall in Table A3, and Table A4 further highlight the effectiveness of our proposed method.
**(Dataset / Evaluation Setting / Metric)**
**[Table A1] (Pascal-Part-116 / Oracle-Obj / Recall)**
|model|seen|unseen|harmonic Recall|
|:-:|:-:|:-:|:-:|
|ZSSeg+|65.47|32.13|43.10|
|CAT-Seg|56.00|43.20|48.77|
|CLIPSeg|55.71|43.35|48.76|
|PartCLIPSeg|58.46|47.93|52.67|
**[Table A2] (ADE20K-Part-234 / Oracle-Obj / Recall)**
|model|seen|unseen|harmonic Recall|
|:-:|:-:|:-:|:-:|
|ZSSeg+|55.78|40.71|47.07|
|CAT-Seg|43.48|39.87|41.60|
|CLIPSeg|49.59|48.11|48.84|
|PartCLIPSeg|53.31|51.52|52.40|
**[Table A3] (Pascal-Part-116 / Oracle-Obj / Recall)**
|model|seen|unseen|harmonic Recall|
|:-:|:-:|:-:|:-:|
|w/o $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $ |58.97|46.47|51.98|
|w/ $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $|58.46|47.93|52.67|
**[Table A4] (ADE20K-Part-234 / Oracle-Obj / Recall)**
|model|seen|unseen|harmonic Recall|
|:-:|:-:|:-:|:-:|
|w/o $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $ |51.64|50.99|51.31|
|w/ $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $|53.31|51.52|52.40|
**[Table A5] (Pascal-Part-116 / Oracle-Obj / B-IoU)**
|model|seen|unseen|harmonic B-IoU|
|:-:|:-:|:-:|:-:|
|w/o $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $ |36.24|37.87|37.04|
|w/ $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $|36.15|39.07|37.55|
**[Table A6] (ADE20K-Part-234 / Oracle-Obj / B-IoU)**
|model|seen|unseen|harmonic B-IoU|
|:-:|:-:|:-:|:-:|
|w/o $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $ |24.99|22.41|23.63|
|w/ $ \mathcal{L}\_{sep} + \mathcal{L}\_{enh} $|25.67|22.46|23.96|