241 research outputs found
Scalable and Jointly Differentially Private Packing
We introduce an (epsilon, delta)-jointly differentially private algorithm for packing problems. Our algorithm not only achieves the optimal trade-off between the privacy parameter epsilon and the minimum supply requirement (up to logarithmic factors), but is also scalable in the sense that the running time is linear in the number of agents n. Previous algorithms either run in cubic time in n, or require a minimum supply per resource that is sqrt{n} times larger than the best possible
Strict Intuitionistic Fuzzy Distance/Similarity Measures Based on Jensen-Shannon Divergence
Being a pair of dual concepts, the normalized distance and similarity
measures are very important tools for decision-making and pattern recognition
under intuitionistic fuzzy sets framework. To be more effective for
decision-making and pattern recognition applications, a good normalized
distance measure should ensure that its dual similarity measure satisfies the
axiomatic definition. In this paper, we first construct some examples to
illustrate that the dual similarity measures of two nonlinear distance measures
introduced in [A distance measure for intuitionistic fuzzy sets and its
application to pattern classification problems, \emph{IEEE Trans. Syst., Man,
Cybern., Syst.}, vol.~51, no.~6, pp. 3980--3992, 2021] and [Intuitionistic
fuzzy sets: spherical representation and distances, \emph{Int. J. Intell.
Syst.}, vol.~24, no.~4, pp. 399--420, 2009] do not meet the axiomatic
definition of intuitionistic fuzzy similarity measure. We show that (1) they
cannot effectively distinguish some intuitionistic fuzzy values (IFVs) with
obvious size relationship; (2) except for the endpoints, there exist infinitely
many pairs of IFVs, where the maximum distance 1 can be achieved under these
two distances; leading to counter-intuitive results. To overcome these
drawbacks, we introduce the concepts of strict intuitionistic fuzzy distance
measure (SIFDisM) and strict intuitionistic fuzzy similarity measure (SIFSimM),
and propose an improved intuitionistic fuzzy distance measure based on
Jensen-Shannon divergence. We prove that (1) it is a SIFDisM; (2) its dual
similarity measure is a SIFSimM; (3) its induced entropy is an intuitionistic
fuzzy entropy. Comparative analysis and numerical examples demonstrate that our
proposed distance measure is completely superior to the existing ones
Enhancing Energy Efficiency for Reconfigurable Intelligent Surfaces with Practical Power Models
Reconfigurable intelligent surfaces (RISs) are widely considered a promising
technology for future wireless communication systems. As an important indicator
of RIS-assisted communication systems in green wireless communications, energy
efficiency (EE) has recently received intensive research interest as an
optimization target. However, most previous works have ignored the different
power consumption between ON and OFF states of the PIN diodes attached to each
RIS element. This oversight results in extensive unnecessary power consumption
and reduction of actual EE due to the inaccurate power model. To address this
issue, in this paper, we first utilize a practical power model for a
RIS-assisted multi-user multiple-input single-output (MU-MISO) communication
system, which takes into account the difference in power dissipation caused by
ON-OFF states of RIS's PIN diodes. Based on this model, we formulate a more
accurate EE optimization problem. However, this problem is non-convex and has
mixed-integer properties, which poses a challenge for optimization. To solve
the problem, an effective alternating optimization (AO) algorithm framework is
utilized to optimize the base station and RIS beamforming precoder separately.
To obtain the essential RIS beamforming precoder, we develop two effective
methods based on maximum gradient search and SDP relaxation respectively.
Theoretical analysis shows the exponential complexity of the original problem
has been reduced to polynomial complexity. Simulation results demonstrate that
the proposed algorithm outperforms the existing ones, leading to a significant
increase in EE across a diverse set of scenarios.Comment: Reconfigurable intelligent surface is a promising 6G technology.
However, RIS power models are inaccurate. In this paper, we construct a
practical power model for RIS communication systems with an SDP-relaxation
algorithm, achieving optimal energy efficienc
- …