Reveal: Footnotes on Steroids

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First published on Tuesday, Oct 20, 2026 and last modified on Wednesday, Oct 21, 2026 by François Chaplais.

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Reveal: Footnotes on Steroids

François Chaplais WebMagic

	Model	Description
	`M0`	Intercept only
	`M1`	Linear (all inputs)
	`M2`	Additive spline, K=4
	`M3`	Additive spline, refined knots
	`M4`	M3 + 1 greedy interaction
	`M5`	M4 + 2nd greedy interaction

	Model	PCs	Description
	`B1-lin`	1	Linear
	`B1-spl`	1	Spline
q = 2
	`B2-lin`	2	Linear
	`B2-spl`	2	Spline
	`B2-int`	2	Spline + PC₀×PC₁
q = 3
	`B3-lin`	3	Linear
	`B3-spl`	3	Spline
	`B3-int₁`	3	Spline + PC₀×PC₁
	`B3-int₂`	3	Spline + PC₀×PC₁ + PC₀×PC₂

11:49:13	exercitationem	42414123.4	115759.67944004
03:43:44	eveniet	4017.7183	10
11:52:40	quibusdam	1128.688	126649396.57774
08:09:16	omnis	4454966.852365	1631.3
11:32:34	laboriosam	181.58	2571266.216

Decoder	\( z\)	FID \( \downarrow\)	MS-SSIM \( \uparrow\)	LPIPS \( \downarrow\)	\( G_{\mathrm{m}}\) \( \uparrow\)	\( \Delta_{\mathrm{ori}}\) \( \downarrow\)
No bottleneck for VQGAN and Codec
VQGAN	–	35.63	\( 0.876 \pm 0.12\)	\( 0.132 \pm 0.10\)	\( 0.747 \pm 0.16\)	\( 27.619 \pm 10.01\)
Codec	–	0.95	\( 0.449 \pm 0.28\)	\( 0.368 \pm 0.15\)	\( 0.926 \pm 0.08\)	\( 7.200 \pm 4.26\)
SDXL	512	108.28	\( 0.077 \pm 0.05\)	\( 0.650 \pm 0.08\)	\( 0.370 \pm 0.15\)	\( 56.467 \pm 8.41\)
DiT	512	\( \mathbf{23.19}^{*}\)	\( 0.147 \pm 0.18\)	\( 0.603 \pm 0.08\)	\( 0.486 \pm 0.12\)	\( 55.363 \pm 10.35\)
FM-DiT	512	27.86	\( 0.169 \pm 0.20\)	\( 0.578 \pm 0.07\)	\( \mathbf{0.501 \pm 0.11}^{*}\)	\( \mathbf{53.921 \pm 11.68}^{*}\)
FM-DiT	768	27.86	\( \mathbf{0.178 \pm 0.21}^{*}\)	\( \mathbf{0.572 \pm 0.07}^{*}\)	\( 0.474 \pm 0.12\)	\( 54.318 \pm 11.16\)
FM-DiT	1024	27.08	\( 0.174 \pm 0.21\)	\( 0.574 \pm 0.07\)	\( 0.475 \pm 0.12\)	\( 54.353 \pm 10.81\)

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Table of contents

1 Introduction

2 A more suitable example

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Formatted Date	Summary	Precip Type	Temperature (C)	Apparent Temperature (C)	Humidity	Wind Speed (km/h)	Wind Bearing (degrees)	Visibility (km)	Pressure (millibars)	Daily Summary
2006-04-01 00:00:00	Partly Cloudy	rain	9.472222222222221	7.3888888888888875	0.89	14.1197	251.0	15.826300000000002	1015.13	Partly cloudy throughout the day.
2006-04-01 01:00:00	Partly Cloudy	rain	9.355555555555558	7.227777777777776	0.86	14.2646	259.0	15.826300000000002	1015.63	Partly cloudy throughout the day.
2006-04-01 02:00:00	Mostly Cloudy	rain	9.377777777777778	9.377777777777778	0.89	3.9284000000000003	204.0	14.9569	1015.94	Partly cloudy throughout the day.
2006-04-01 03:00:00	Partly Cloudy	rain	8.28888888888889	5.944444444444446	0.83	14.1036	269.0	15.826300000000002	1016.41	Partly cloudy throughout the day.
2006-04-01 04:00:00	Mostly Cloudy	rain	8.755555555555553	6.977777777777779	0.83	11.0446	259.0	15.826300000000002	1016.51	Partly cloudy throughout the day.
2006-04-01 05:00:00	Partly Cloudy	rain	9.222222222222221	7.11111111111111	0.85	13.9587	258.0	14.9569	1016.66	Partly cloudy throughout the day.
2006-04-01 06:00:00	Partly Cloudy	rain	7.733333333333334	5.522222222222221	0.95	12.3648	259.0	9.982000000000001	1016.72	Partly cloudy throughout the day.
2006-04-01 07:00:00	Partly Cloudy	rain	8.77222222222222	6.527777777777778	0.89	14.1519	260.0	9.982000000000001	1016.84	Partly cloudy throughout the day.
2006-04-01 08:00:00	Partly Cloudy	rain	10.82222222222222	10.82222222222222	0.82	11.3183	259.0	9.982000000000001	1017.37	Partly cloudy throughout the day.
2006-04-01 09:00:00	Partly Cloudy	rain	13.77222222222222	13.77222222222222	0.72	12.525800000000002	279.0	9.982000000000001	1017.22	Partly cloudy throughout the day.
2006-04-01 10:00:00	Partly Cloudy	rain	16.016666666666666	16.016666666666666	0.67	17.5651	290.0	11.2056	1017.42	Partly cloudy throughout the day.
2006-04-01 11:00:00	Partly Cloudy	rain	17.144444444444446	17.144444444444446	0.54	19.7869	316.0	11.4471	1017.74	Partly cloudy throughout the day.
2006-04-01 12:00:00	Partly Cloudy	rain	17.800000000000004	17.800000000000004	0.55	21.944300000000002	281.0	11.270000000000001	1017.59	Partly cloudy throughout the day.
2006-04-01 13:00:00	Partly Cloudy	rain	17.333333333333332	17.333333333333332	0.51	20.6885	289.0	11.270000000000001	1017.48	Partly cloudy throughout the day.
2006-04-01 14:00:00	Partly Cloudy	rain	18.87777777777778	18.87777777777778	0.47	15.375500000000002	262.0	11.4471	1017.17	Partly cloudy throughout the day.
2006-04-01 15:00:00	Partly Cloudy	rain	18.911111111111115	18.911111111111115	0.46	10.4006	288.0	11.270000000000001	1016.47	Partly cloudy throughout the day.
2006-04-01 16:00:00	Partly Cloudy	rain	15.38888888888889	15.38888888888889	0.6	14.4095	251.0	11.270000000000001	1016.15	Partly cloudy throughout the day.
2006-04-01 17:00:00	Mostly Cloudy	rain	15.550000000000002	15.550000000000002	0.63	11.157300000000001	230.0	11.4471	1016.17	Partly cloudy throughout the day.
2006-04-01 18:00:00	Mostly Cloudy	rain	14.255555555555553	14.255555555555553	0.69	8.5169	163.0	11.2056	1015.82	Partly cloudy throughout the day.
2006-04-01 19:00:00	Mostly Cloudy	rain	13.144444444444442	13.144444444444442	0.7	7.631400000000001	139.0	11.2056	1015.83	Partly cloudy throughout the day.
2006-04-01 20:00:00	Mostly Cloudy	rain	11.549999999999999	11.549999999999999	0.77	7.3899	147.0	11.0285	1015.85	Partly cloudy throughout the day.
2006-04-01 21:00:00	Mostly Cloudy	rain	11.183333333333334	11.183333333333334	0.76	4.9266000000000005	160.0	9.982000000000001	1015.77	Partly cloudy throughout the day.
2006-04-01 22:00:00	Partly Cloudy	rain	10.116666666666667	10.116666666666667	0.79	6.6493	163.0	15.826300000000002	1015.4	Partly cloudy throughout the day.
2006-04-01 23:00:00	Mostly Cloudy	rain	10.2	10.2	0.77	3.9284000000000003	152.0	14.9569	1015.51	Partly cloudy throughout the day.
2006-04-10 00:00:00	Partly Cloudy	rain	10.42222222222222	10.42222222222222	0.62	16.985500000000002	150.0	15.826300000000002	1014.4	Mostly cloudy throughout the day.
2006-04-10 01:00:00	Partly Cloudy	rain	9.911111111111113	7.566666666666666	0.66	17.2109	149.0	15.826300000000002	1014.2	Mostly cloudy throughout the day.
2006-04-10 02:00:00	Mostly Cloudy	rain	11.183333333333334	11.183333333333334	0.8	10.8192	163.0	14.9569	1008.71	Mostly cloudy throughout the day.
2006-04-10 03:00:00	Partly Cloudy	rain	7.155555555555556	5.044444444444443	0.79	11.0768	180.0	15.826300000000002	1014.47	Mostly cloudy throughout the day.
2006-04-10 04:00:00	Partly Cloudy	rain	6.111111111111111	4.816666666666667	0.82	6.6493	161.0	15.826300000000002	1014.45	Mostly cloudy throughout the day.
2006-04-10 05:00:00	Partly Cloudy	rain	6.788888888888888	4.272222222222221	0.83	13.0088	135.0	14.9569	1014.49	Mostly cloudy throughout the day.
2006-04-10 06:00:00	Mostly Cloudy	rain	7.26111111111111	5.155555555555556	0.85	11.1734	141.0	6.1985	1014.52	Mostly cloudy throughout the day.
2006-04-10 07:00:00	Mostly Cloudy	rain	7.799999999999999	5.5277777777777795	0.83	12.8156	150.0	8.05	1014.16	Mostly cloudy throughout the day.
2006-04-10 08:00:00	Mostly Cloudy	rain	9.872222222222225	7.933333333333334	0.78	13.7494	160.0	9.982000000000001	1014.24	Mostly cloudy throughout the day.
2006-04-10 09:00:00	Mostly Cloudy	rain	12.222222222222221	12.222222222222221	0.72	15.633100000000002	150.0	9.982000000000001	1014.25	Mostly cloudy throughout the day.
2006-04-10 10:00:00	Mostly Cloudy	rain	15.094444444444447	15.094444444444447	0.61	17.549000000000003	151.0	9.982000000000001	1013.96	Mostly cloudy throughout the day.
2006-04-10 11:00:00	Mostly Cloudy	rain	17.355555555555558	17.355555555555558	0.52	22.7815	169.0	9.982000000000001	1013.85	Mostly cloudy throughout the day.
2006-04-10 12:00:00	Mostly Cloudy	rain	19.00555555555555	19.00555555555555	0.46	23.892400000000002	169.0	9.982000000000001	1013.04	Mostly cloudy throughout the day.
2006-04-10 13:00:00	Mostly Cloudy	rain	20.04444444444444	20.04444444444444	0.4	28.3682	170.0	9.982000000000001	1012.22	Mostly cloudy throughout the day.
2006-04-10 14:00:00	Mostly Cloudy	rain	21.049999999999997	21.049999999999997	0.4	26.903100000000002	187.0	10.3523	1011.44	Mostly cloudy throughout the day.
2006-04-10 15:00:00	Mostly Cloudy	rain	21.18333333333333	21.18333333333333	0.37	25.695600000000002	179.0	9.982000000000001	1010.52	Mostly cloudy throughout the day.

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Table of contents

1 Introduction

2 A more suitable example

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