{"ID":2877305,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.21026","arxiv_id":"2508.21026","title":"A first-order condition for discrete-time distribution steering","abstract":"We study a class of distribution-steering problems from a variational point of view. Under some differentiability assumptions, we derive necessary conditions for optimal Markov policies in the spirit of the Lagrange multiplier approach. We also provide a heuristic gradient-based method derived from the variational principle.","short_abstract":"We study a class of distribution-steering problems from a variational point of view. Under some differentiability assumptions, we derive necessary conditions for optimal Markov policies in the spirit of the Lagrange multiplier approach. We also provide a heuristic gradient-based method derived from the variational prin...","url_abs":"https://arxiv.org/abs/2508.21026","url_pdf":"https://arxiv.org/pdf/2508.21026v1","authors":"[\"Alberto Domínguez Corella\",\"David González-Sánchez\"]","published":"2025-08-28T17:29:40Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}