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Bias in the distribution of holonomy on compact hyperbolic 3-manifolds
Ambient prime geodesic theorems provide an asymptotic count of closed geodesics by their length and holonomy and imply effective equidistribution of...
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Learning the Bias Weights for Generalized Nested Rollout Policy Adaptation
Generalized Nested Rollout Policy Adaptation (GNRPA) is a Monte Carlo search algorithm for single player games and optimization problems. In this... -
Ancestral reproductive bias in continuous-time branching trees under various sampling schemes
Cheek and Johnston (JMB 86:70, 2023) consider a continuous-time Bienaymé-Galton-Watson tree conditioned on being alive at time T . They study the...
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Robust Minium Bias Iteration Algorithms for Classification Ratemaking and Loss Reserving
AbstractThe minimum bias iteration algorithms are commonly used for various applications in non-life insurance and predictive modelling. By applying...
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Reducing Bias and Quantifying Uncertainty in Fluorescence Produced by PCR
We present a new approach for relating nucleic-acid content to fluorescence in a real-time Polymerase Chain Reaction (PCR) assay. By coupling a...
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On the spectral bias of coupled frequency predictor–corrector triangular DNN: The convergence analysis
Data-driven neural network algorithms show extraordinary promise in the field of scientific computing and artificial intelligence, but they are still...
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MRI Bias Field Estimation and Tissue Segmentation Using Multiplicative Intrinsic Component Optimization and Its Extensions
In medical image analysis, energy minimization-based optimization approaches are invaluable. This chapter presents a joint optimization method called... -
Fairness, Bias and Trust in the Context of Biometric-Enabled Autonomous Decision Support
Develo** a trustworthy biometric-enabled autonomous and semi-autonomous system involves computing the amount of bias and fairness of the data upon... -
Intuition and exponential growth: bias and the roles of parameterization and complexity
Exponential growth bias is the phenomenon that humans intuitively underestimate exponential growth. This article reports on an experiment where...
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Improving Inertial Navigation Accuracy with Bias Modeling
Navigation-grade gyroscopes and accelerometers are well-known to have bias in their output. This bias contributes significantly to the error in the... -
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MRI Bias Field Estimation and Tissue Segmentation Using Multiplicative Intrinsic Component Optimization and Its Extensions
In medical image analysis, energy minimization-based optimization approaches are invaluable. This chapter presents a joint optimization method called... -
Parity bias for the partitions with bounded number of appearances of the part of size 1
While there are more partitions of n having more odd parts than even parts compared to partitions having more even parts than odd parts, we show that...
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Approximation and Bias Operators
The next section is the key to the entire study of this chapter. It can be approached without being an expert in stochastic analysis. The examples in... -
A bias-corrected Least-Squares Monte Carlo for solving multi-period utility models
The Least-Squares Monte Carlo (LSMC) method has gained popularity in recent years due to its ability to handle multi-dimensional stochastic control...
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Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums
We investigate the number of steps taken by three variants of the Euclidean algorithm on average over Farey fractions. We show asymptotic formulae...
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Bias in Rank-Frequency Relation
As shown at the end of the previous chapter, the rank-frequency relation of Moby Dick almost follows a power law -> with an η value close to 1. The... -
Lemke Oliver and Soundararajan bias for consecutive sums of two squares
In a surprising recent work, Lemke Oliver and Soundararajan noticed how experimental data exhibits erratic distributions for consecutive pairs of...