Asset Details
Do you wish to reserve the book?
An optimal streaming algorithm for non-submodular functions maximization on the integer lattice
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
An optimal streaming algorithm for non-submodular functions maximization on the integer lattice
Do you wish to request the book?
An optimal streaming algorithm for non-submodular functions maximization on the integer lattice
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
An optimal streaming algorithm for non-submodular functions maximization on the integer lattice
2023
Overview
Submodular optimization problem has been concerned in recent years. The problem of maximizing submodular and non-submodular functions on the integer lattice has received a lot of recent attention. In this paper, we study streaming algorithms for the problem of maximizing a monotone non-submodular functions with cardinality constraint on the integer lattice. For a monotone non-submodular function
f
:
Z
+
n
→
R
+
defined on the integer lattice with diminishing-return (DR) ratio
γ
, we present a one pass streaming algorithm that gives a
(
1
-
1
2
γ
-
ϵ
)
-approximation, requires at most
O
(
k
ϵ
-
1
log
k
/
γ
)
space and
O
(
ϵ
-
1
log
k
/
γ
·
log
‖
B
‖
∞
)
update time per element. We then modify the algorithm and improve the memory complexity to
O
(
k
γ
ϵ
)
. To the best of our knowledge, this is the first streaming algorithm on the integer lattice for this constrained maximization problem.
Publisher
Springer US,Springer Nature B.V
