Journal2007, Applied Mathematics and Computation Miguel Romera, ... Marius-F. Danca In the case of Fig. 2 the algorithmic complexity is clearly different for data and surrogates for each of algorithm 0, 1 and 2. The conclusion of this is that the data is unlikely to be consistent with ...
It is shown that the 6 Boolean patterns that make an analogical proportion true have a minimal complexity with respect to an expression reflecting the intended meaning of the proportion.Henri PradeGilles RichardSymbolic and Quantitative Approaches to Reasoning with Uncertainty: 14th European Conference, ...
(dose-response curves and so forth), and there is no need to know the precise form of dynamics or parameters such as kinetic constants in order to obtain global stability conclusions. Generally, a graph, whose edges are labeled by “+” or “−” signs (sometimes ...
When an algorithm is embedded into the platform economy as a digital infrastructure, it affects the visibility of information, the distribution of interests, and the labor process. In the context of live-streaming e-commerce, entrepreneurs interact with algorithms and consumers in real time to obtai...
of hypothesis stability in the unrealizable case. In Section 4, we define our newnotion of error stability, and prove our main results: bounds on the error of the leave-one-estimate that depend on the VC dimension of the hypothesis class and the error stability of the algorithm. The bo...
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Here, we de- scribe a novel technique (the coding theorem method ) based on the calculation of a universal distribution, which yields an objective and universal measure of algorithmic complexity for short strings that approximates Kolmogorov–Chaitin complexity. Keywords Algorithmic complexity . ...
Algorithmic Efficiency refers to the amount of time and memory required by an algorithm to solve a specific problem. It is standardized through computational complexity theory, which estimates an algorithm's efficiency based on its input size as a mathematical function. ...
Applications of empirical processes in learning theory : algorithmic stability and generalization bounds This thesis studies two key properties of learning algorithms: their generalization ability and their stability with respect to perturbations. To analyze t... Alexander. Rakhlin,Massachusetts Institute ...
The code organizational structure in the Modular Ocean Model (MOM) became another de facto standard, adopted by many modelers when their code complexity matured to OGCM status. This approach is encouraged and often justified by the ease of incorporating peripheral modules. However, it led to a wi...