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Logarithmic Comparison Theorems
In this chapter we study the comparison between the logarithmic and the meromorphic de Rham complexes along a divisor in a complex manifold. We focus...
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Comparison Finsler Geometry
This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted Ricci...
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Graph Comparison Meets Alexandrov
Graph comparison is a certain type of condition on the metric space encoded by a finite graph. We show that each nontrivial graph comparison implies...
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Motif Finding Algorithms: A Performance Comparison
Network motifs are subgraphs of a network that occur more frequently than expected, according to some reasonable null model. They represent building...
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Offline Policy Comparison Under Limited Historical Agent-Environment Interactions
We address the challenge of policy evaluation in real-world applications of reinforcement learning systems where the available historical data is...
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Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras
Let ( X , Γ) be a free minimal dynamical system, where X is a compact separable Hausdorff space and Γ is a discrete amenable group. It is shown that,...
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Deep Metric Learning: Loss Functions Comparison
AbstractAn overview of deep metric learning methods is presented. Although they have appeared in recent years, these methods were compared only with...
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Applying Grover’s algorithm to implement various numerical and comparison operations
Quantum search algorithm is used to perform fast data searching that finds data with high probability for any unstructured data. The quantum search...
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Sturm’s Comparison Theorem for Classical Discrete Orthogonal Polynomials
In an earlier work (Castillo et al. in J Math Phys 61:103505, 2020), it was established, from a hypergeometric-type difference equation, tractable...
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Extension of Bishop–Gromov Volume Comparison Theorem by Elliptic Operators
In this paper, we apply elliptic second-order differential operators to distance functions. As a result, we extend the mean curvature comparison...
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Comparison principles for a class of general integro-differential inequalities with applications
Comparison principles for fractional differential equations have been investigated in many papers using different types of fractional integral and...
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Comparison between power difference means and Heron means
Power difference means and Heron means are well-known numerical means with parameters. Their comparison in the positive definite sense is studied....
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Comparison Theorems, Curvature and Topology, and Laplacian
We have already proved some comparison theorems for surfaces by using Sturm’s theorem (see Theorem 3.26 on...
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Scalable Gromov–Wasserstein Based Comparison of Biological Time Series
A time series is an extremely abundant data type arising in many areas of scientific research, including the biological sciences. Any method that...
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Global sensitivity analysis for mathematical models comparison
The choice of an adequate mathematical model is a key step in solving problems in many different fields. When more than one model is available to...
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Information Dependent Properties of Equilibria: Existence, Comparison, Continuity and Team-against-Team Games
In this chapter, we study four information structure dependent aspects of stochastic games: (i) on refined conditions on existence of saddle-point...
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A group theoretic approach to model comparison with simplicial representations
The complexity of biological systems, and the increasingly large amount of associated experimental data, necessitates that we develop mathematical...
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A refinement of the Hille–Wintner comparison theorem and new nonoscillation criteria for half-linear differential equations
A refinement of the Hille–Wintner comparison theorem is obtained for two half-linear differential equations of the second order. As a consequence,...