Results 81 to 90 of about 619,204 (327)
Directed Discrete Midpoint Convexity [PDF]
For continuous functions, midpoint convexity characterizes convex functions. By considering discrete versions of midpoint convexity, several types of discrete convexities of functions, including integral convexity, L$^\natural$-convexity and global/local discrete midpoint convexity, have been studied.
arxiv
On Convex Clustering Solutions [PDF]
Convex clustering is an attractive clustering algorithm with favorable properties such as efficiency and optimality owing to its convex formulation. It is thought to generalize both k-means clustering and agglomerative clustering. However, it is not known whether convex clustering preserves desirable properties of these algorithms. A common expectation
arxiv
SDP Duals without Duality Gaps for a Class of Convex Minimax Programs [PDF]
In this paper we introduce a new dual program, which is representable as a semi-definite linear programming problem, for a primal convex minimax programming model problem and show that there is no duality gap between the primal and the dual whenever the functions involved are SOS-convex polynomials.
arxiv +1 more source
Laboratory protocols for producing thin‐film pH electrodes for sterilized single‐use technologies have been successfully developed into a semiautomated workflow, with higher throughput and precision of membrane thickness. Accuracies are within 0.05 pH units versus ground truth, and uncertainty analysis reveals the largest sources of error to be derived
Bingyuan Zhao+4 more
wiley +1 more source
Optimal Resource Allocation for Two-User and Single-DF-Relay Network With Ambient Backscatter
In this paper, we investigate and analyze a two-user single decode-and-forward (DF) relay network with ambient backscatter communication capabilities, where the user nodes and the relay node are equipped with a wireless-powered device instead of embedded
Chuangming Zheng+2 more
doaj +1 more source
A multimaterial approach is introduced to improve upon auxetic structures by combining two different polymers into the same reentrant honeycomb structure via additive manufacturing. The deformation behavior as well as the resulting Poisson's ratio are thereby improved significantly.
Alexander Engel+2 more
wiley +1 more source
Distributed constrained optimization via continuous-time mirror design
Recently, distributed convex optimization using a multiagent system has received much attention by many researchers. This problem is frequently approached by combing the consensus algorithms in the multiagent literature and the gradient algorithms in the
Rui Sheng, Wei Ni
doaj +1 more source
ON OPTIMUM DESIGN OF FRAME STRUCTURES
Optimization of frame structures is formulated as a non-convex optimization problem, which is currently solved to local optimality. In this contribution, we investigate four optimization approaches: (i) general non-linear optimization, (ii) optimality ...
Marek Tyburec+3 more
doaj +1 more source
Doubly Constrained Waveform Optimization for Integrated Sensing and Communications
This paper investigates threshold-constrained joint waveform optimization for an integrated sensing and communication (ISAC) system. Unlike existing studies, we employ mutual information (MI) and sum rate (SR) as sensing and communication metrics ...
Zhitong Ni+3 more
doaj +1 more source
Polyhedral approximation in mixed-integer convex optimization
Generalizing both mixed-integer linear optimization and convex optimization, mixed-integer convex optimization possesses broad modeling power but has seen relatively few advances in general-purpose solvers in recent years.
Bent, Russell+3 more
core +1 more source