Zobrazeno 1 - 10
of 368
pro vyhledávání: '"62A01"'
Autor:
Nickel, Maximilian
Rapid model validation via the train-test paradigm has been a key driver for the breathtaking progress in machine learning and AI. However, modern AI systems often depend on a combination of tasks and data collection practices that violate all assump
Externí odkaz:
http://arxiv.org/abs/2411.13653
Autor:
Barlow, Martin T.
We consider models for inference which involve observers which may have multiple copies, such as in the Sleeping Beauty problem. We establish a framework for describing these problems on a probability space satisfying Kolmogorov's axioms, and this en
Externí odkaz:
http://arxiv.org/abs/2411.13257
Uncertainty visualisation is quickly becomming a hot topic in information visualisation. Exisiting reviews in the field take the definition and purpose of an uncertainty visualisation to be self evident which results in a large amout of conflicting i
Externí odkaz:
http://arxiv.org/abs/2411.10482
The classical theory for the meta-analysis of $p$-values is based on the assumption that if the overall null hypothesis is true, then all $p$-values used in a chosen combined test statistic are genuine, i.e., are observations from independent and ide
Externí odkaz:
http://arxiv.org/abs/2410.04651
Autor:
Hemerik, Jesse, Koning, Nick W
A fundamental assumption of classical hypothesis testing is that the significance threshold $\alpha$ is chosen independently from the data. The validity of confidence intervals likewise relies on choosing $\alpha$ beforehand. We point out that the in
Externí odkaz:
http://arxiv.org/abs/2410.02306
Autor:
Barczy, Matyas, Páles, Zsolt
We give axiomatic characterisations of generalized $\psi$-estimators and (usual) $\psi$-estimators (also called $Z$-estimators), respectively. The key properties of estimators that come into play in the characterisation theorems are the symmetry, the
Externí odkaz:
http://arxiv.org/abs/2409.16240
Autor:
Kager, Wouter, Meester, Ronald
We investigate the asymptotic relation between likelihood ratios and p-values. We do that in a setting in which exact computations are possible: a coin-tossing context where the hypotheses of interest address the success probability of the coin. We o
Externí odkaz:
http://arxiv.org/abs/2408.12905
We introduce and investigate a family of consequence relations with the goal of capturing certain important patterns of data-driven inference. The inspiring idea for our framework is the fact that data may reject, possibly to some degree, and possibl
Externí odkaz:
http://arxiv.org/abs/2408.12346
Autor:
Caprio, Michele
We introduce the concept of an imprecise Markov semigroup $\mathbf{Q}$. It is a tool that allows to represent ambiguity around both the initial and the transition probabilities of a Markov process via a compact collection of plausible Markov semigrou
Externí odkaz:
http://arxiv.org/abs/2405.00081
Autor:
Schlather, Martin
We define a general notion of entropy in elementary, algebraic terms. Based on that, weak forms of a scalar product and a distance measure are derived. We give basic properties of these quantities, generalize the Cauchy-Schwarz inequality, and relate
Externí odkaz:
http://arxiv.org/abs/2404.05854