{"paper":{"title":"Probabilistic models for joint clustering and time-warping of multidimensional curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Darya Chudova, Padhraic Smyth, Scott Gaffney","submitted_at":"2012-10-19T15:04:32Z","abstract_excerpt":"In this paper we present a family of algorithms that can simultaneously align     and cluster sets of multidimensional curves measured on a discrete time grid.     Our approach is based on a generative mixture model that allows non-linear time     warping of the observed curves relative to the mean curves within the clusters.     We also allow for arbitrary discrete-valued translation of the time axis,     random real-valued offsets of the measured curves, and additive measurement     noise. The resulting model can be viewed as a dynamic Bayesian network with a     special transition structure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2467","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}