On Optimal Data Compression in Multiterminal Statistical Inference
By Shun-ichi Amari. 2011
20 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Computer Networks and Communications, Control and Systems Engineering
How researchers see this paper
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In Artificial Intelligence
In Computer Networks and Communications
- Leighton Pate Barnes
- Ayfer Özgür
- Yanjun Han
- Tsachy Weissman
- Jayadev Acharya
- Clément Louis Canonne
- Himanshu Tyagi
- Ziteng Sun
In Control and Systems Engineering
Citations in the corpus
- Geometric Lower Bounds for Distributed Parameter Estimation Under Communication Constraints (2018, background): “This geometric problem is closely related to the optimal data compression in multiterminal statistical inference Amari (2011). We prove the following proposition: Proposition 16 Under the previous setting, we have max A⊂Ω:|A|=2d−1 ∥”
- A Geometric Characterization of Fisher Information from Quantized Samples with Applications to Distributed Statistical Estimation (2018, background): “The first lemma is a slight variant of Theorems 1 and 2 from [3], and our debt to that work is clear.”
- Lower Bounds for Learning Distributions under Communication Constraints via Fisher Information (2019, background): “The following two lemmas establish a geometric interpretation of the trace Tr(IM (θ)), and are slight variants of Theorems 1 and 2 from ichi Amari (2011).”