Does a sparse ReLU network training problem always admit an optimum ?

Quoc-Tung Le, Rémi Gribonval, Elisa Riccietti. Does a sparse ReLU network training problem always admit an optimum ?. In Alice Oh, Tristan Naumann, Amir Globerson, Kate Saenko, Moritz Hardt, Sergey Levine, editors, Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, NeurIPS 2023, New Orleans, LA, USA, December 10 - 16, 2023. 2023. [doi]

@inproceedings{LeGR23,
  title = {Does a sparse ReLU network training problem always admit an optimum ?},
  author = {Quoc-Tung Le and Rémi Gribonval and Elisa Riccietti},
  year = {2023},
  url = {http://papers.nips.cc/paper_files/paper/2023/hash/cdda0657a9f32bc7ddd4343686e7371e-Abstract-Conference.html},
  researchr = {https://researchr.org/publication/LeGR23},
  cites = {0},
  citedby = {0},
  booktitle = {Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, NeurIPS 2023, New Orleans, LA, USA, December 10 - 16, 2023},
  editor = {Alice Oh and Tristan Naumann and Amir Globerson and Kate Saenko and Moritz Hardt and Sergey Levine},
}