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dlinn [17]
2 years ago
11

tensor-on-tensor regression: riemannian optimization, over-parameterization, statistical-computational gap and their interplay

Mathematics
1 answer:
Contact [7]2 years ago
7 0

The purpose of the tensor-on-tensor regression, which we examine, is to relate tensor responses to tensor covariates with a low Tucker rank parameter tensor/matrix without being aware of its intrinsic rank beforehand.

By examining the impact of rank over-parameterization, we suggest the Riemannian Gradient Descent (RGD) and Riemannian Gauss-Newton (RGN) methods to address the problem of unknown rank. By demonstrating that RGD and RGN, respectively, converge linearly and quadratically to a statistically optimal estimate in both rank correctly-parameterized and over-parameterized scenarios, we offer the first convergence guarantee for the generic tensor-on-tensor regression. According to our theory, Riemannian optimization techniques automatically adjust to over-parameterization without requiring implementation changes.

Learn more about tensor-on-tensor here

brainly.com/question/16382372

#SPJ4

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Nick walked 1 mile in nine minutes there are 5280 feet in a mile about how many feet did he walk a minute
Elodia [21]
Hello!

All you have to do it divide 5280 ft by 9 min  to find ft/min:

5280 / 9 = 506.67 ft/min

I hope this helps :))
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kogti [31]
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In a game, Janeesa started with 0 points. She then earned 50 points, lost 80 points and earned 10 points. Which number line show
umka2103 [35]

Answer:

-20

Step-by-step explanation:

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I don't know what your options look like, but look at the one(s) with -20 at the end and figure out what one best fits my explanation (and the numbers I use)!

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3 years ago
Sandra uses her office fax machine to send fax at the rate of $0.10 per page. She decides to rent a fax machine for $80 a year.
Maksim231197 [3]
Part A: 
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 Part B:
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3 years ago
Is 1/2 greater or less then 3/10?
zaharov [31]
1/2 is greater than 3/10
6 0
3 years ago
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