1. Introduction
2. Data
2.1. COSMOS and far-infrared catalogs
2.2. The HSC-CLAUDS survey
3. Physical parameter estimates
3.1. Stellar masses and luminosities
3.2. Far-infrared luminosities and far-infrared sample properties
4. The infrared excess in the NUVrK diagram
4.1. IRX calibration with detected FIR sources
4.2. IRX calibration based on FIR stacking
4.3. Dust attenuation evolution with stellar mass and redshift
4.4. Comparison of individual SFR estimates with literature values
5. Total SFR functions
5.1. From the unobscured to total SFR functions
5.2. Measurement of the SFR functions
5.3. Parametric fits of the SFR functions
5.4. Comparison with observations
5.5. Comparison with simulations
6. Cosmic SFRD
7. Conclusion