Web: (7) A. Minimax risk analysis We are interested in lower bounding the minimax risk for estimating D based on observations Y, which is defined as the worst-case mean squared error (MSE) that can be obtained by the best KS dictionary estimator Db(Y). That is, " = inf Db sup 2X(0;r) E Y n Db(Y) D 2 F Web1 de mar. de 2024 · This paper provides fundamental limits on the sample complexity of estimating dictionaries for tensor data. The specific focus of this work is on $K$th-order tensor data and the case where the...
(PDF) On the Minimax Risk of Dictionary Learning - ResearchGate
WebThis paper identifies minimax rates of CSDL in terms of reconstruction risk, providing both lower and upper bounds in a variety of settings. Our results make minimal assumptions, … Web15 de jul. de 2016 · The focus of this paper is on second-order tensor data, with the underlying dictionaries constructed by taking the Kronecker product of two smaller … highfield restaurant birmingham
Translation into English - examples Italian - Reverso Context
WebThis paper provides fundamental limits on the sample complexity of estimating dictionaries for tensor data. ... Minimax Lower Bounds on Dictionary Learning for Tensor Data ... Web17 de fev. de 2014 · By following an established information-theoretic method based on Fanos inequality, we derive a lower bound on the minimax risk for a given dictionary learning problem. This lower bound yields a characterization of the sample-complexity, i.e., a lower bound on the required number of observations such that consistent dictionary … Web3 de abr. de 2024 · The NEUSS model first derives the asset embeddings for each asset (ETF) based on its financial news and machine learning methods such as UMAP, paragraph models and word embeddings. Then we obtain a collection of the basis assets based on their asset embeddings. After that, for each stock, we select the basis assets to … highfield rest home hythe