TWFR-GMM

Time-weighted Frequency Domain Audio Representation with GMM Estimator for Anomalous Sound Detection

Results on DCASE2022 dataset

harmonic mean of AUC-S (AUC with Source domain), AUC-T(AUC with Target domain) and pAUC

AUC-S(%)/AUC-T(%)/pAUC(%) in Table

development dataset

Method	ToyCar	ToyTrain	Bearing	Fan	Gearbox	Slider	Valve	Average
mean-GMM	89.59/69.05/58.93	85.62/31.89/52.72	56.90/84.69/54.21	79.70/63.16/62.13	83.16/76.13/65.42	90.66/67.77/66.44	53.61/51.16/50.53	77.04/63.41/58.63
max-GMM	79.45/40.81/51.15	86.36/48.31/55.27	63.64/62.09/51.96	75.05/49.98/52.19	73.73/69.62/57.34	92.36/70.19/70.46	94.85/89.00/69.92	80.78/61.43/58.33
TWFR-GMM	89.59/69.05/58.93	88.59/46.16/58.39	56.90/84.69/54.21	79.70/63.16/62.13	82.93/78.28/63.60	95.59/80.32/73.32	95.99/90.40/72.43	84.19/73.15/63.29
SMOTE-TWFR-GMM	88.99/80.26/60.41	89.88/46.50/59.88	64.15/75.57/57.12	83.11/61.01/63.57	84.91/81.41/66.62	95.09/84.29/76.43	95.64/89.49/70.15	85.97/74.08/64.89

evaluation dataset

Method	ToyCar	ToyTrain	Bearing	Fan	Gearbox	Slider	Valve	Average
mean-GMM	95.28/82.83/79.11	59.41/48.48/51.43	71.01/71.74/57.97	58.88/42.25/51.73	89.96/80.36/64.11	76.98/58.07/56.28	51.42/53.35/51.47	71.85/62.44/58.87
max-GMM	76.57/54.51/57.56	60.32/49.86/51.64	72.33/46.78/51.57	58.26/32.33/49.55	72.50/64.05/50.20	78.21/70.31/59.41	88.92/75.91/66.68	72.44/56.25/55.23
TWFR-GMM	95.28/82.83/79.11	69.05/55.16/52.96	74.65/68.91/58.99	58.88/42.25/51.73	84.28/73.78/58.99	85.15/65.89/60.34	88.28/77.57/64.17	79.37/66.63/60.90
SMOTE-TWFR-GMM	93.95/94.01/85.63	67.37/55.13/53.35	72.30/53.10/52.27	57.18/41.88/51.06	90.02/84.78/65.57	82.51/66.18/60.15	87.14/75.82/63.68	78.64/67.27/61.67

Ablation Study

In addition to the result of weighted mean of Mean-GMM and Max-GMM, we also show the another ablation result of feature fusion by concatenating mean pooling and max pooling representation with GMM for ASD.

• Concate(Mean,Max)-GMM: Concatenating mean pooling representation and max pooling representation as input feature with GMM for ASD
• Weight(Mean,Max)-GMM: Weighted mean of mean pooling and max pooling representation as input feature with GMM for ASD (the selection of this weight for each machine type is the same as $r$ in TWFR-GMM)

AUC(%)((AUC-S+AUC-T)/2)/pAUC(%) in Table

Results on development set

Method	ToyCar	ToyTrain	Fan	Gearbox	Bearing	Slider	Valve	Average
Concate(Mean,max)-GMM	78.66/58.92	61.79/53.50	71.09/60.87	78.61/61.23	67.66/53.42	80.97/65.89	80.36/57.29	74.17/58.73
Weight(Mean,Max)-GMM	79.42/58.75	67.34/55.28	71.42/62.13	80.46/65.86	70.80/54.22	83.27/68.32	90.78/70.83	77.64/62.20
TWFR-GMM	80.65/58.12	67.81/59.07	71.44/62.13	80.23/64.69	69.41/54.74	87.96/73.33	92.61/70.23	78.59/63.19

Results on evaluation set

Method	ToyCar	ToyTrain	Fan	Gearbox	Bearing	Slider	Valve	Average
Concate(Mean,max)-GMM	88.93/76.86	53.63/51.87	48.52/51.79	80.80/57.21	68.80/55.45	75.69/62.45	71.41/56.25	69.68/58.84
Weight(Mean,Max)-GMM	65.56/57.56	54.95/51.50	45.22/49.57	68.65/49.58	59.55/51.57	79.63/64.59	79.90/65.01	64.78/55.63
TWFR-GMM	89.05/79.11	62.10/52.96	50.56/51.73	79.03/58.99	71.78/58.99	75.52/60.34	82.92/64.17	72.99/60.90

Todo

• select weight of gwrp and components of gmm only using normal data