PROTON+: all results

Every table of the preprint and its supplement, per benchmark. AUROC, AUPR and FPR@95 in %, online detectors as the mean over five stream orders. Generated by scripts/build_site.py from the outputs of proton run. Back to the project page.

Ophthalmology

Zero-shot OOD detection (static scores, PROTON, PROTON+)

Method	Sem AUC	Sem APR	Sem FPR	Cov AUC	Cov APR	Cov FPR	Far AUC	Far APR	Far FPR
Max-Logits	54.0	54.1	79.3	27.9	23.3	88.0	83.9	76.4	63.0
Energy	51.8	51.5	79.7	27.2	23.2	88.0	83.9	76.5	62.7
GL-MCM	75.8	75.6	86.0	68.9	45.3	69.3	78.5	62.4	75.0
MCM	75.8	75.6	86.0	68.9	45.2	69.7	78.5	62.4	75.0
TAG-MCM	68.4	70.5	88.7	30.1	23.8	93.7	72.2	47.2	60.3
MCM (L=1)	66.5	65.0	84.7	84.2	66.3	47.3	51.8	38.4	98.3
MCM (L=5)	58.3	56.5	87.0	66.5	42.5	65.7	54.4	33.5	74.3
PROTON (ours)	68.0	72.5	92.7	46.7	29.4	83.6	86.8	76.2	55.0
Δ vs MCM	-7.7	-3.1	6.7	-22.1	-15.8	13.9	8.3	13.7	-20.0

PROTON mean ± std over 5 stream orders: semantic: 68.0±0.9, covariate: 46.7±1.8, far: 86.8±3.6

PROTON+ against PROTON (components, ID fraction, sensitivity, base scores)

Variant	Sem AUC	Cov AUC	Far AUC	Sem FPR	Cov FPR	Far FPR	t_calib
MCM	75.8	68.9	78.5	86.0	69.7	75.0	nan
PROTON (paper)	68.0	46.7	86.8	92.7	83.6	55.0	14
+ z-scored fusion	69.4	50.7	89.0	91.3	77.7	32.3	14
+ consistency admission	70.6	40.1	92.6	83.0	89.5	18.6	14
+ domain-anchored prototypes (PROTON+)	67.3	85.3	93.4	75.8	31.5	15.4	14
domain-anchored only	64.0	86.3	94.3	84.9	33.2	32.9	14
consistency only	68.9	30.5	91.5	90.1	95.1	35.6	14
PROTON+ max-fusion	65.7	86.6	93.2	85.6	28.0	15.6	14
PROTON+ rejection-driven alpha	64.4	86.9	93.6	75.9	29.9	15.5	14
S_proto only (PROTON bank)	62.7	43.7	90.5	91.6	80.8	47.0	14
S_proto only (PROTON+ bank)	57.0	90.4	97.9	78.7	26.0	8.9	14
PROTON, oracle ID-only bank	76.8	93.1	94.5	91.1	24.1	26.1	21
PROTON+, oracle ID-only bank	73.6	90.4	93.5	71.3	12.9	15.3	21

rho	PROTON+ Sem/Cov/Far	PROTON Sem/Cov/Far	MCM Sem/Cov/Far
90%	70.6 / 88.5 / 90.9	73.1 / 85.5 / 90.4	76.2 / 67.7 / 75.5
70%	68.7 / 74.7 / 92.9	71.2 / 47.7 / 87.4	74.8 / 69.0 / 79.0
50%	67.4 / 22.3 / 36.7	68.2 / 34.0 / 55.3	75.8 / 69.1 / 78.4
30%	64.5 / 28.8 / 27.8	60.3 / 28.0 / 26.4	76.2 / 68.3 / 78.0
10%	56.8 / 41.4 / 20.5	50.0 / 41.3 / 16.7	75.9 / 69.2 / 78.1

gamma (PROTON+)	Sem	Cov	Far
0.5	65.8	86.3	93.2
0.6	66.4	85.7	93.3
0.7	67.3	85.3	93.4
0.8	67.8	87.8	93.5
0.9	68.0	88.2	93.6

kappa (PROTON+)	Sem	Cov	Far
1.0	67.7	87.7	93.4
1.5	67.4	87.5	93.4
2.0	67.3	85.3	93.4
3.0	67.2	85.0	93.4
4.0	67.2	85.0	93.1

Base score	Base Sem/Cov/Far	+PROTON+ Sem/Cov/Far
Max-Logits	54.0 / 27.9 / 83.9	57.1 / 87.1 / 99.1
Energy	51.8 / 27.2 / 83.9	56.1 / 87.2 / 99.1
GL-MCM	75.8 / 68.9 / 78.5	67.3 / 85.3 / 93.4
MCM	75.8 / 68.9 / 78.5	67.3 / 85.3 / 93.4
Entropy	75.8 / 68.9 / 78.5	63.3 / 86.5 / 96.6
TAG-MCM	68.4 / 30.1 / 72.2	65.2 / 58.7 / 91.5

PROTON component ablations

Variant	Cov	Sem	Far
MCM baseline	68.9	75.8	78.5
+ Proto. (alpha=.5)	46.6	65.5	86.9
+ Adapt. fusion	46.9	65.3	85.3
+ Conf. gate (Full)	46.7	68.0	86.8

gamma	AUC	APR	F95
0.5	46.9	29.4	82.5
0.6	46.7	29.4	83.8
0.7	46.7	29.4	83.6
0.8	47.8	30.1	81.3
0.9	49.4	30.7	79.9

M	AUC	APR	F95
10	45.3	29.3	92.0
25	44.6	28.6	89.9
50	45.4	28.9	87.2
100	46.7	29.4	83.6
200	47.9	29.9	79.5

Stream ID-fraction sweep

rho	Sem	Cov	Far	(MCM: Sem	Cov	Far)
90%	73.1	85.5	90.4	76.2	67.7	75.5
70%	71.2	47.7	87.4	74.8	69.0	79.0
30%	60.3	28.0	26.4	76.2	68.3	78.0
10%	50.0	41.3	16.7	75.9	69.2	78.1

PROTON on six base scores

Base score	Base (Cov)	+PROTON (Cov)	Δ	Base (Sem)	+PROTON (Sem)	Base (Far)	+PROTON (Far)
Max-Logits	27.9	23.6	-4.4	54.0	57.3	83.9	87.0
Energy	27.2	22.6	-4.5	51.8	55.3	83.9	87.0
GL-MCM	68.9	45.7	-23.2	75.8	67.6	78.5	85.0
MCM	68.9	46.7	-22.1	75.8	68.0	78.5	86.8
Entropy	68.9	49.7	-19.2	75.8	70.0	78.5	89.8
TAG-MCM	30.1	22.6	-7.5	68.4	67.9	72.2	89.4

Broader baselines, including privileged ones

Method	Cov AUC	Sem AUC	Far AUC
TAG-MCM	30.1	68.4	72.2
MCM (L=5)	66.5	58.3	54.4
kNN-ID	100.0	76.8	99.8
Mahalanobis-ID	100.0	82.4	100.0
PROTON	46.7	68.0	86.8
hier_l5+proton	24.0	41.2	25.3

Prompt sensitivity

Prompt set	ID acc	MCM Sem/Cov/Far	PROTON Sem/Cov/Far	PROTON+ Sem/Cov/Far
flair_default (default)	84.0	75.8 / 68.9 / 78.5	68.0 / 46.7 / 86.8	67.3 / 85.3 / 93.4
vanilla	86.0	65.6 / 64.9 / 83.5	58.5 / 46.7 / 94.4	58.2 / 87.9 / 97.0
l1	83.7	66.5 / 84.2 / 51.8	65.0 / 66.6 / 78.2	64.6 / 94.0 / 88.1
l5	57.3	58.3 / 66.5 / 54.4	41.2 / 24.0 / 25.3	56.2 / 50.8 / 58.8

Robustness extras

sigma2_0 sweep mean AUROC: 0.005: 66.7, 0.01: 66.7, 0.02: 67.2, 0.04: 68.4, 0.08: 68.6

misrouting (cov AUROC): 0.0: 46.7, 0.1: 50.0, 0.2: 51.2, 0.3: 54.5

overhead: PROTON 0.020 ms/sample, PROTON+ 0.282 ms/sample, bank 0.41 MB

wins vs MCM over stream orders: {'semantic': {'proton': '0/5', 'proton_plus': '0/5'}, 'covariate': {'proton': '0/5', 'proton_plus': '5/5'}, 'far': {'proton': '5/5', 'proton_plus': '5/5'}}

triage macro-F1: 0.5968720012468626

PROTON gate x bank-size grid (change in covariate AUROC over MCM)

	M=10	M=25	M=50	M=75	M=100	M=150	M=200	M=500
g=0.3	-22.5	-23.3	-22.6	-22	-21.5	-20.9	-20.5	-20.3
g=0.4	-22.5	-23.3	-22.6	-22	-21.5	-20.9	-20.5	-20.3
g=0.5	-22.5	-23.3	-22.6	-22	-21.5	-20.9	-20.5	-20.3
g=0.6	-23	-23.8	-23	-22.2	-21.7	-21.1	-20.6	-20.5
g=0.7	-22.9	-23.7	-23	-22.1	-21.6	-21	-20.4	-20.3
g=0.8	-21.9	-22.8	-22.1	-21.2	-20.8	-20.2	-19.7	-19.6
g=0.9	-20.2	-21.1	-20.6	-19.9	-19.5	-19.1	-18.8	-18.7

Radiology

Zero-shot OOD detection (static scores, PROTON, PROTON+)

Method	Sem AUC	Sem APR	Sem FPR	Cov AUC	Cov APR	Cov FPR	Far AUC	Far APR	Far FPR
Max-Logits	69.4	56.1	82.3	0.4	10.8	100.0	75.7	64.6	90.2
Energy	70.2	57.4	84.8	0.4	10.8	100.0	77.0	67.4	90.5
GL-MCM	54.3	35.7	89.7	46.7	18.1	87.3	29.2	14.2	98.0
MCM	54.2	35.2	89.7	46.6	18.1	87.3	27.6	14.0	99.7
TAG-MCM	57.4	36.8	87.8	48.1	19.3	85.5	41.3	16.0	87.5
MCM (L=1)	54.2	35.2	89.7	46.6	18.1	87.3	27.6	14.0	99.7
MCM (L=5)	54.2	32.0	77.5	78.4	38.2	46.3	84.6	52.3	39.5
PROTON (ours)	55.3	38.3	95.2	61.2	31.0	67.6	93.9	92.5	33.5
Δ vs MCM	1.1	3.1	5.5	14.6	12.9	-19.8	66.3	78.5	-66.2

PROTON mean ± std over 5 stream orders: semantic: 55.3±0.9, covariate: 61.2±1.7, far: 93.9±2.3

PROTON+ against PROTON (components, ID fraction, sensitivity, base scores)

Variant	Sem AUC	Cov AUC	Far AUC	Sem FPR	Cov FPR	Far FPR	t_calib
MCM	54.2	46.6	27.6	89.7	87.3	99.7	nan
PROTON (paper)	55.3	61.2	93.9	95.2	67.6	33.5	30
+ z-scored fusion	61.6	78.1	90.5	87.6	56.1	40.1	30
+ consistency admission	61.9	78.4	92.8	87.3	60.5	36.1	30
+ domain-anchored prototypes (PROTON+)	61.4	93.9	91.5	88.1	26.7	35.7	30
domain-anchored only	55.2	86.8	95.0	95.2	38.7	19.9	30
consistency only	55.4	63.2	94.9	95.2	68.0	22.0	30
PROTON+ max-fusion	56.0	92.2	90.8	89.6	27.4	34.7	30
PROTON+ rejection-driven alpha	60.8	95.8	93.8	88.3	17.4	35.8	30
S_proto only (PROTON bank)	61.8	92.3	95.0	95.2	41.5	19.8	30
S_proto only (PROTON+ bank)	62.6	98.8	96.2	83.1	1.3	20.5	30
PROTON, oracle ID-only bank	55.4	86.5	94.9	95.1	50.6	19.8	49
PROTON+, oracle ID-only bank	64.9	92.4	91.3	87.2	33.8	35.8	49

rho	PROTON+ Sem/Cov/Far	PROTON Sem/Cov/Far	MCM Sem/Cov/Far
90%	64.8 / 96.4 / 94.1	57.8 / 71.0 / 94.1	53.7 / 46.8 / 27.5
70%	62.0 / 89.5 / 81.0	54.9 / 54.3 / 81.8	54.4 / 47.2 / 27.9
50%	58.8 / 69.0 / 73.0	54.5 / 49.9 / 58.8	54.5 / 47.9 / 28.5
30%	55.6 / 12.2 / 14.2	54.0 / 38.8 / 37.1	54.5 / 46.7 / 27.7
10%	52.5 / 12.7 / 13.1	53.8 / 23.7 / 21.4	53.5 / 47.5 / 27.5

gamma (PROTON+)	Sem	Cov	Far
0.5	60.1	95.2	94.8
0.6	60.8	94.8	93.7
0.7	61.4	93.9	91.5
0.8	62.4	92.8	87.0
0.9	59.6	77.5	71.8

kappa (PROTON+)	Sem	Cov	Far
1.0	61.6	94.1	91.5
1.5	61.6	94.0	91.5
2.0	61.4	93.9	91.5
3.0	61.2	92.8	91.5
4.0	61.2	92.8	91.5

Base score	Base Sem/Cov/Far	+PROTON+ Sem/Cov/Far
Max-Logits	69.4 / 0.4 / 75.7	69.1 / 92.9 / 98.8
Energy	70.2 / 0.4 / 77.0	69.2 / 92.9 / 98.9
GL-MCM	54.3 / 46.7 / 29.2	61.4 / 93.9 / 91.6
MCM	54.2 / 46.6 / 27.6	61.4 / 93.9 / 91.5
Entropy	54.2 / 46.6 / 27.6	64.3 / 98.1 / 95.5
TAG-MCM	57.4 / 48.1 / 41.3	63.6 / 86.8 / 83.9

PROTON component ablations

Variant	Cov	Sem	Far
MCM baseline	46.6	54.2	27.6
+ Proto. (alpha=.5)	66.0	55.2	96.0
+ Adapt. fusion	67.7	55.3	97.2
+ Conf. gate (Full)	61.2	55.3	93.9

gamma	AUC	APR	F95
0.5	67.7	37.8	58.7
0.6	65.0	35.1	62.3
0.7	61.2	31.0	67.6
0.8	57.0	28.1	79.5
0.9	52.0	25.2	92.8

M	AUC	APR	F95
10	61.0	32.1	76.6
25	61.0	31.2	69.9
50	61.1	31.1	69.4
100	61.2	31.0	67.6
200	61.2	31.0	66.7

Stream ID-fraction sweep

rho	Sem	Cov	Far	(MCM: Sem	Cov	Far)
90%	57.8	71.0	94.1	53.7	46.8	27.5
70%	54.9	54.3	81.8	54.4	47.2	27.9
30%	54.0	38.8	37.1	54.5	46.7	27.7
10%	53.8	23.7	21.4	53.5	47.5	27.5

PROTON on six base scores

Base score	Base (Cov)	+PROTON (Cov)	Δ	Base (Sem)	+PROTON (Sem)	Base (Far)	+PROTON (Far)
Max-Logits	0.4	4.5	+4.1	69.4	67.1	75.7	80.6
Energy	0.4	4.5	+4.1	70.2	67.8	77.0	81.8
GL-MCM	46.7	60.6	+14.0	54.3	55.1	29.2	93.5
MCM	46.6	61.2	+14.6	54.2	55.3	27.6	93.9
Entropy	46.6	63.1	+16.5	54.2	57.2	27.6	94.2
TAG-MCM	48.1	60.6	+12.4	57.4	58.2	41.3	94.2

Broader baselines, including privileged ones

Method	Cov AUC	Sem AUC	Far AUC
TAG-MCM	48.1	57.4	41.3
MCM (L=5)	78.4	54.2	84.6
kNN-ID	99.9	67.8	100.0
Mahalanobis-ID	100.0	58.9	100.0
PROTON	61.2	55.3	93.9
hier_l5+proton	79.1	50.3	88.3

Prompt sensitivity

Prompt set	ID acc	MCM Sem/Cov/Far	PROTON Sem/Cov/Far	PROTON+ Sem/Cov/Far
vanilla	73.2	41.8 / 57.5 / 55.5	44.9 / 78.9 / 94.7	53.2 / 95.5 / 96.2
l1 (default)	69.2	54.2 / 46.6 / 27.6	55.3 / 61.2 / 93.9	61.4 / 93.9 / 91.5
l5	55.3	54.2 / 78.4 / 84.6	50.3 / 79.1 / 88.3	49.9 / 88.5 / 96.8

Robustness extras

sigma2_0 sweep mean AUROC: 0.005: 72.7, 0.01: 72.0, 0.02: 70.1, 0.04: 62.0, 0.08: 58.8

misrouting (cov AUROC): 0.0: 61.2, 0.1: 65.7, 0.2: 69.3, 0.3: 72.8

overhead: PROTON 0.019 ms/sample, PROTON+ 0.153 ms/sample, bank 0.41 MB

wins vs MCM over stream orders: {'semantic': {'proton': '5/5', 'proton_plus': '5/5'}, 'covariate': {'proton': '5/5', 'proton_plus': '5/5'}, 'far': {'proton': '5/5', 'proton_plus': '5/5'}}

triage macro-F1: 0.8475022798662478

PROTON gate x bank-size grid (change in covariate AUROC over MCM)

	M=10	M=25	M=50	M=75	M=100	M=150	M=200	M=500
g=0.3	20.9	21	21.3	21.4	21.6	22.2	22.5	22.6
g=0.4	20.9	21	21.3	21.4	21.6	22.2	22.5	22.6
g=0.5	20.9	21	21.3	21.4	21.6	22.2	22.5	22.6
g=0.6	18.3	18.5	18.9	19.2	19.6	20.1	20.4	20.4
g=0.7	15	14.9	15.3	15.5	15.8	16	16.1	16.1
g=0.8	10.8	10.8	11	11.3	11.5	11.6	11.7	11.7
g=0.9	5.3	5.5	5.8	5.9	6	6	6	6

Pathology

Zero-shot OOD detection (static scores, PROTON, PROTON+)

Method	Sem AUC	Sem APR	Sem FPR	Cov AUC	Cov APR	Cov FPR	Far AUC	Far APR	Far FPR
Max-Logits	2.1	19.1	100.0	21.3	12.4	97.7	25.0	15.3	99.3
Energy	1.7	19.1	100.0	19.4	12.2	99.0	23.3	15.0	99.7
GL-MCM	56.7	40.5	94.0	67.2	30.9	77.7	67.2	29.1	75.2
MCM	59.8	42.4	90.3	66.1	29.8	85.2	67.1	31.5	77.2
TAG-MCM	48.7	33.1	97.2	48.0	19.4	92.0	45.1	18.7	95.0
MCM (L=1)	59.8	42.4	90.3	66.1	29.8	85.2	67.1	31.5	77.2
MCM (L=5)	15.3	20.4	99.8	64.6	30.7	77.3	61.1	26.3	87.3
PROTON (ours)	64.9	54.9	92.8	73.0	47.3	87.2	75.2	50.4	80.4
Δ vs MCM	5.0	12.6	2.5	7.0	17.5	2.1	8.1	18.9	3.2

PROTON mean ± std over 5 stream orders: semantic: 64.9±1.3, covariate: 73.0±3.7, far: 75.2±3.7

PROTON+ against PROTON (components, ID fraction, sensitivity, base scores)

Variant	Sem AUC	Cov AUC	Far AUC	Sem FPR	Cov FPR	Far FPR	t_calib
MCM	59.8	66.1	67.1	90.3	85.2	77.2	nan
PROTON (paper)	64.9	73.0	75.2	92.8	87.2	80.4	82
+ z-scored fusion	77.7	84.7	82.8	78.6	57.0	55.1	82
+ consistency admission	82.1	85.6	88.2	69.4	51.6	40.1	82
+ domain-anchored prototypes (PROTON+)	82.4	85.6	92.1	67.7	50.7	35.0	82
domain-anchored only	68.7	74.0	81.1	92.8	86.9	73.7	82
consistency only	68.7	74.2	81.5	92.8	86.5	72.1	82
PROTON+ max-fusion	84.8	87.9	95.2	51.3	40.4	18.4	82
PROTON+ rejection-driven alpha	88.3	88.0	96.6	51.6	45.0	14.6	82
S_proto only (PROTON bank)	83.5	87.5	87.9	92.8	77.4	57.7	82
S_proto only (PROTON+ bank)	94.9	93.7	98.7	20.2	26.8	1.5	82
PROTON, oracle ID-only bank	70.6	74.4	84.4	92.6	86.6	79.6	82
PROTON+, oracle ID-only bank	82.1	85.8	91.4	67.1	50.2	36.3	82

rho	PROTON+ Sem/Cov/Far	PROTON Sem/Cov/Far	MCM Sem/Cov/Far
90%	87.0 / 87.5 / 93.8	73.0 / 74.6 / 81.9	60.0 / 66.6 / 67.1
70%	81.6 / 79.8 / 81.7	64.1 / 65.4 / 68.4	59.9 / 65.8 / 66.8
50%	73.9 / 71.5 / 73.5	60.1 / 61.7 / 64.3	60.2 / 65.4 / 66.5
30%	45.2 / 67.5 / 68.8	55.6 / 67.6 / 63.9	59.6 / 67.6 / 68.7
10%	44.7 / 61.6 / 50.3	51.8 / 61.2 / 54.4	63.0 / 61.2 / 61.9

gamma (PROTON+)	Sem	Cov	Far
0.5	83.6	87.5	93.4
0.6	84.1	87.0	93.4
0.7	82.4	85.6	92.1
0.8	62.8	66.2	74.1
0.9	59.9	66.2	67.2

kappa (PROTON+)	Sem	Cov	Far
1.0	82.4	85.7	91.8
1.5	82.5	85.8	92.0
2.0	82.4	85.6	92.1
3.0	81.2	85.5	91.2
4.0	81.0	85.5	90.3

Base score	Base Sem/Cov/Far	+PROTON+ Sem/Cov/Far
Max-Logits	2.1 / 21.3 / 25.0	75.5 / 79.4 / 92.5
Energy	1.7 / 19.4 / 23.3	75.5 / 78.8 / 92.2
GL-MCM	56.7 / 67.2 / 67.2	83.5 / 88.0 / 94.8
MCM	59.8 / 66.1 / 67.1	82.4 / 85.6 / 92.1
Entropy	59.8 / 66.1 / 67.1	84.1 / 87.9 / 93.9
TAG-MCM	48.7 / 48.0 / 45.1	76.6 / 74.3 / 81.4

PROTON component ablations

Variant	Cov	Sem	Far
MCM baseline	66.1	59.8	67.1
+ Proto. (alpha=.5)	75.6	66.5	78.8
+ Adapt. fusion	73.6	65.0	76.7
+ Conf. gate (Full)	73.0	64.9	75.2

gamma	AUC	APR	F95
0.5	73.6	43.8	84.3
0.6	73.3	45.0	87.1
0.7	73.0	47.3	87.2
0.8	66.1	29.8	85.2
0.9	66.1	29.8	85.2

M	AUC	APR	F95
10	72.8	47.3	86.6
25	72.9	46.8	87.5
50	73.0	47.1	87.3
100	73.0	47.3	87.2
200	73.1	47.5	87.1

Stream ID-fraction sweep

rho	Sem	Cov	Far	(MCM: Sem	Cov	Far)
90%	73.0	74.6	81.9	60.0	66.6	67.1
70%	64.1	65.4	68.4	59.9	65.8	66.8
30%	55.6	67.6	63.9	59.6	67.6	68.7
10%	51.8	61.2	54.4	63.0	61.2	61.9

PROTON on six base scores

Base score	Base (Cov)	+PROTON (Cov)	Δ	Base (Sem)	+PROTON (Sem)	Base (Far)	+PROTON (Far)
Max-Logits	21.3	29.7	+8.4	2.1	12.7	25.0	31.4
Energy	19.4	28.1	+8.7	1.7	12.4	23.3	29.8
GL-MCM	67.2	73.8	+6.6	56.7	62.9	67.2	75.4
MCM	66.1	73.0	+7.0	59.8	64.9	67.1	75.2
Entropy	66.1	76.4	+10.3	59.8	69.8	67.1	78.2
TAG-MCM	48.0	61.0	+13.0	48.7	58.4	45.1	59.5

Broader baselines, including privileged ones

Method	Cov AUC	Sem AUC	Far AUC
TAG-MCM	48.0	48.7	45.1
MCM (L=5)	64.6	15.3	61.1
kNN-ID	99.4	100.0	100.0
Mahalanobis-ID	99.8	100.0	100.0
PROTON	73.0	64.9	75.2
hier_l5+proton	61.5	32.6	65.7

Prompt sensitivity

Prompt set	ID acc	MCM Sem/Cov/Far	PROTON Sem/Cov/Far	PROTON+ Sem/Cov/Far
l1 (default)	59.3	59.8 / 66.1 / 67.1	64.9 / 73.0 / 75.2	82.4 / 85.6 / 92.1
id_acc	72.7	48.8 / 48.0 / 45.1	52.9 / 55.6 / 58.2	72.5 / 70.1 / 81.1
vanilla	64.5	64.3 / 53.4 / 72.5	66.7 / 58.9 / 82.2	75.8 / 72.9 / 92.5
l5	65.5	15.3 / 64.6 / 61.1	32.6 / 61.5 / 65.7	15.4 / 73.4 / 81.5

Robustness extras

sigma2_0 sweep mean AUROC: 0.005: 75.4, 0.01: 73.9, 0.02: 71.0, 0.04: 68.6, 0.08: 68.1

misrouting (cov AUROC): 0.0: 73.0, 0.1: 74.2, 0.2: 75.7, 0.3: 75.2

overhead: PROTON 0.017 ms/sample, PROTON+ 0.096 ms/sample, bank 0.41 MB

wins vs MCM over stream orders: {'semantic': {'proton': '5/5', 'proton_plus': '5/5'}, 'covariate': {'proton': '5/5', 'proton_plus': '5/5'}, 'far': {'proton': '5/5', 'proton_plus': '5/5'}}

triage macro-F1: 0.3187348586668186

PROTON gate x bank-size grid (change in covariate AUROC over MCM)

	M=10	M=25	M=50	M=75	M=100	M=150	M=200	M=500
g=0.3	8	8.3	8.4	8.5	8.5	8.5	8.6	8.8
g=0.4	8	8.3	8.4	8.5	8.5	8.5	8.6	8.8
g=0.5	8	8.3	8.4	8.5	8.5	8.5	8.6	8.8
g=0.6	7.7	7.8	7.8	7.8	7.9	8	8	8.2
g=0.7	8	8	8.1	8.2	8.2	8.3	8.4	8.4
g=0.8	0	0	0	0	0	0	0	0
g=0.9	0	0	0	0	0	0	0	0