How is parallelism defined without a metric?

Submit to Information Review for Information ... In particular, data augmentation techniques, including rotation, affine transformation, scaling, and translation, ... In Section 3, following Nagaoka [7], we introduce a Fisher metric and a pair of dual affine connections on the set of irreducible stochastic matrices, which ... Sep 12, 2022 ... We derive a pair of dual affine connections partic- ular to Doi-Peliti theory for the way they separate the roles of the nominal distribution. unique person-by-person optimal solution which is affine in the measure- ments of each player; this affine solution is also globally optimal (See. Radner [I] ... Mar 27, 2025 ... (relative to the full-information benchmark) under any symmetric profile of affine demand schedules. We then characterize the demand ... Projection of the shadow is metric (a), affine (b) and (c), similar (d), projective (e) and (f). A primer on the informational structure of cast shadows. tions for purely informational reasons.1. Phelps' theory connects workers ... affine. In fact, in this case we have WA(s) = Pθ∈Θ αA(θ)s(θ), where αA is ... such as affine registrations of relatively small data-sets - would require significantly increased amounts of time, effort and cost. In some tasks, arguably ... ... information exclusive to infrared imagery, with attractive visual and informational properties. ... affine motion. A custom layer called the Exponential ... Feb 10, 2022 ... existential results about random variables before (e.g. [53], [54]), so the study of affine constraints is not unnatural. We also prove the ...