Sample dependence in the maximum entropy solution to the generalized moment problemStatistics and ProbabilityThe method of maximum entropy is quite a powerful tool to solve the generalized moment problem, which consists in determining the probability density of a random variable X from the knowledge of...
These two steps are independent problems and often require different techniques. We will briefly comment on the two steps below. Computing TrρAn is not easy; therefore, the replica method enters. The early form of the replica method was developed in [34], and was later used to compute ...
Sparse Polynomial Chaos Expansion (PCE) is widely used in various engineering fields to quantitatively analyse the influence of uncertainty, while alleviating the problem of dimensionality curse. However, current sparse PCE techniques focus on choosing f
j=1 (24) and is nonincreasing with increasing predictor order so we have that R(0) = E(0) ≥ E(1) ≥ E(2) ≥···≥ E(m−1) ≥ E(m). (25) In many problems, such as speech coding applications, the predictor order m is chosen based on a combination of predictor ...
2022, Multi-Objective Combinatorial Optimization Problems and Solution MethodsA. Baghernejad, E. Aslanzadeh Chapter THERMODYNAMIC FUNDAMENTALS Discussion Note that the entropy change of this extended system is also zero since the state of air does not change at any point during the process. The diff...
‘hallucinate’ false outputs and unsubstantiated answers3,4. Answering unreliably or without the necessary information prevents adoption in diverse fields, with problems including fabrication of legal precedents5or untrue facts in news articles6and even posing a risk to human life in medical domains ...
11 February 2016 Published: 03 March 2016 Nicholas Chancellor1, Szilard Szoke2, Walter Vinci3,4, Gabriel Aeppli5,6,7 & Paul A. Warburton1,2 Optimisation problems typically involve finding the ground state (i.e. the minimum energy configuration) of a cost function with respect ...
The post-acquisition “virtual” decoupling circumvents the problems of sample heating and/or Bloch–Siegert shifts caused by homonuclear decoupling, and enhances sensitivity even if natural variations of the J value occur [102]. To conclude, most applications of MaxEnt to NMR spectroscopy were ...
If the prior in inverse problems has an important role then one could ask what are the ramifications associated with a particular choice? Certainly it is somewhat unpleasant to have to introduce some prior information to a problem in the first place to obtain a solution. As Menke (1989) sugge...
This is only a small sample; its successes extend well beyond this brief summary. First and foremost, [Math Processing Error]Rh=ct has no horizon problems. Whereas models with an early phase of deceleration, such as [Math Processing Error]ΛCDM, must find ways of explaining how regions of ...