The space between the stars is not empty: interstellar space is filled with diffuse gas and dust, and threaded by invisible magnetic fields. This material is the interstellar medium (ISM), the stuff out of which new stars are born. The ISM is a wonderful physics laboratory. It is sculpted by a rich array of physical processes, and so observations of the ISM can be used to decipher the poorly understood physics that governs the formation of stars and the evolution of gas in galaxies. Astronomers observe the ISM in many wavelengths of light. This proposal will develop novel tools to unlock the physical information encoded in those observations. This work will generate a new understanding of the gas, dust, and magnetic fields in our Milky Way galaxy. Because the ISM obscures our view of light from the very early universe, this work will also help clear the way for cosmological discovery. This proposal will also build tight links between cutting-edge research and education, impacting students from high school through graduate school. This project will 1) develop a suite of pedagogical Jupyter notebooks to enable active learning in graduate ISM education, 2) host a workshop on integrating computational tools into the classroom, and 3) develop a new dual-enrollment astrophysics course focused on modern approaches to data-driven inference, serving low-income high school students. This proposal will develop cutting-edge methodologies for physical inference with complex data. The r