Dealing with high-dimensional data becomes very common nowadays; visualization is a natural preprocessing to have an overview of such data. A lot of dimensionality reduction methods exist; many of them require to tune a parameter implementing a trade-off between conflicting objectives. Automatically choosing the appropriate trade-off is usually a difficult task because in most cases the exact f...

Many real-world optimization problems typically involve multiple (conflicting) objectives [...]

It is empirically established that multiobjective evolutionary algorithms do not scale well with the number of conflicting objectives. We here show that the convergence rate of any comparison-based multi-objective algorithm, for the Hausdorff distance, is not much better than the convergence rate of the random search, unless the number of objectives is very moderate, in a framework in which the...

Model predictive control (MPC) designates a class of moving-horizon optimal control techniques based on the use of a process model to make predictions of the plant output. Over the past 30 years, several MPC formulations have been reported in the literature. These formulations differ from each other mainly in the type of process and disturbance models adopted, as well as in the cost function to...

1Ecology, Evolution and Environmental Sciences, School of Life Sciences, Arizona State University, Box 874501, Tempe, AZ 85287-4501, USA 2Department of Ecology and Evolutionary Biology, University of California, Santa Cruz, CA 95060, USA 3Bren School of Environmental Science and Management, University of California, Santa Barbara, CA 93106, USA 4Nicholas School of the Environment, Duke Universi...

Multiple criteria decision making (MCDM) literature concentrates on the concept of conflicting objectives, which is related to focusing on the need of trading off. Most approaches to eliciting preferences of the decision maker (DM) are built accordingly on contradistinguishing different attainable levels of objectives. We propose to pay attention to the non-conflicting aspects of decision makin...

In the publish/subscribe (pub/sub) communication scheme in wireless sensor networks (WSNs), there exist inherent tradeoffs among conflicting objectives in event publication. To address this issue, this paper investigates pub/sub middleware for WSNs, called TinyDDS. With its selfconfiguring event routing protocol, TinyDDS adaptively performs event publication according to dynamic network conditi...

in the portfolio selection problem, the manager considers several objectives simultaneously such as the rate of return, the liquidity and the risk of portfolios. these objectives are conflicting and incommensurable. moreover, the objectives can be imprecise. generally, the portfolio manager seeks the best combination of the stocks that meets his investment objectives. the imprecise goal program...