A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds | Paper Citation Record

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This paper cites Injectivity radius estimates and sphere theorems.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Injectivity radius estimates and sphere theorems

Reference 1

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This paper cites Trust-region methods on Rieman- nian manifolds.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Trust-region methods on Rieman- nian manifolds

Reference 2

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This paper cites A collection of nonsmooth riemannian optimiza- tion problems, in: Nonsmooth Optimization and Its Applications.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds A collection of nonsmooth riemannian optimiza- tion problems, in: Nonsmooth Optimization and Its Applications

Reference 3

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This paper cites Riemannian geometry of grassmann manifolds with a view on algorithmic computation.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Riemannian geometry of grassmann manifolds with a view on algorithmic computation

Reference 4

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This paper cites Optimization algorithms on matrix manifolds.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Optimization algorithms on matrix manifolds

Reference 5

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This paper cites Methods of Information Geometry.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Methods of Information Geometry

Reference 6

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This paper cites Natural gradient works eﬃciently in learning.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Natural gradient works eﬃciently in learning

Reference 7

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This paper cites Information geometry of divergence functions.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Information geometry of divergence functions

Reference 8

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This paper cites Benchmarkfcns toolbox.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Benchmarkfcns toolbox

Reference 9

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This paper cites On the use of evolution strategies for optimization on spher- ical manifolds, in: International Conference on Parallel Problem Solving from Nature, Springer.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds On the use of evolution strategies for optimization on spher- ical manifolds, in: International Conference on Parallel Problem Solving from Nature, Springer

Reference 10

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This paper cites Uniqueness of the /f_isher–rao metric on the space of smooth densities.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Uniqueness of the /f_isher–rao metric on the space of smooth densities

Reference 11

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This paper cites Convergence analysis of evolutionary algorithms that are based on the paradigm of information geometry.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Convergence analysis of evolutionary algorithms that are based on the paradigm of information geometry

Reference 12

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This paper cites Statistics on riemannian manifolds: asymptotic distribution and curvature.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Statistics on riemannian manifolds: asymptotic distribution and curvature

Reference 13

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This paper cites Algebraic models of smooth manifolds.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Algebraic models of smooth manifolds

Reference 14

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This paper cites Oriented bounding box computation using particle swarm optimization.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Oriented bounding box computation using particle swarm optimization

Reference 15

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Unresolved cited work

Reference 16

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This paper cites Manopt, a matlab toolbox for optimization on manifolds.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Manopt, a matlab toolbox for optimization on manifolds

Reference 17

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This paper cites Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Geometry of the Fisher-Rao metric on the space of smooth densities on a compact manifold

Reference 18

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This paper cites Projected gradient methods for linearly con- strained problems.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Projected gradient methods for linearly con- strained problems

Reference 19

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This paper cites Geometric modeling in probability and statistics.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Geometric modeling in probability and statistics

Reference 20

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This paper cites Riemannian Geometry.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Riemannian Geometry

Reference 21

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This paper cites Statistical Decision Rules and Optimal Inference.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Statistical Decision Rules and Optimal Inference

Reference 22

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This paper cites Comparison theorems in Riemannian geometry.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Comparison theorems in Riemannian geometry

Reference 23

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This paper cites The cma-es on rieman- nian manifolds to reconstruct shapes in 3-d voxel images.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The cma-es on rieman- nian manifolds to reconstruct shapes in 3-d voxel images

Reference 24

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This paper cites Particle swarm optimization, in: Proceedings of the IEEE international conference on neural networks, Citeseer.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Particle swarm optimization, in: Proceedings of the IEEE international conference on neural networks, Citeseer

Reference 25

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This paper cites Geometry of minimum contrast.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Geometry of minimum contrast

Reference 26

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This paper cites In/f_inite- genus riemann surfaces.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds In/f_inite- genus riemann surfaces

Reference 27

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This paper cites Minimizing a diﬀerentiable function over a diﬀerential manifold.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Minimizing a diﬀerentiable function over a diﬀerential manifold

Reference 28

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This paper cites Topologie des feuilles génériques.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Topologie des feuilles génériques

Reference 29

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Cases for the nugget in modeling computer ex- periments

Reference 30

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This paper cites The cma evolution strategy: a comparing review, in: Towards a new evolutionary computation.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The cma evolution strategy: a comparing review, in: Towards a new evolutionary computation

Reference 31

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This paper cites The CMA Evolution Strategy: A Tutorial.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The CMA Evolution Strategy: A Tutorial

Reference 32

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This paper cites Evaluating the cma evolution strategy on multimodal test functions, in: International Conference on Parallel Problem Solving from Nature, Springer.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Evaluating the cma evolution strategy on multimodal test functions, in: International Conference on Parallel Problem Solving from Nature, Springer

Reference 33

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Reference 34

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This paper cites Invariant bayesian estimation on manifolds.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Invariant bayesian estimation on manifolds

Reference 35

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This paper cites A uni/f_ied view of the theory of directional statistics, 1975-1988.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds A uni/f_ied view of the theory of directional statistics, 1975-1988

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Reference 37

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This paper cites Geometry of diﬀeomorph- ism groups, complete integrability and geometric statistics.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Geometry of diﬀeomorph- ism groups, complete integrability and geometric statistics

Reference 38

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This paper cites Über riemannsche mannigfaltigkeiten mit positiver krümmung.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Über riemannsche mannigfaltigkeiten mit positiver krümmung

Reference 39

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This paper cites Estimation of distribution algorithms: A new tool for evolutionary computation.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Estimation of distribution algorithms: A new tool for evolutionary computation

Reference 40

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This paper cites The riemannian structure of euclidean shape spaces: a novel environment for statistics.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The riemannian structure of euclidean shape spaces: a novel environment for statistics

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This paper cites Learning riemannian metrics, in: Proceedings of the Nine- teenth conference on Uncertainty in Arti/f_icial Intelligence, Morgan Kaufmann Publishers Inc.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Learning riemannian metrics, in: Proceedings of the Nine- teenth conference on Uncertainty in Arti/f_icial Intelligence, Morgan Kaufmann Publishers Inc

Reference 42

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This paper cites Introduction to smooth manifolds.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Introduction to smooth manifolds

Reference 43

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This paper cites Riemannian manifolds: an introduction to curvature.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Riemannian manifolds: an introduction to curvature

Reference 44

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This paper cites Gradient /f_low of the stochastic relaxation on a generic exponential family, in: AIP Conference Proceedings, AIP.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Gradient /f_low of the stochastic relaxation on a generic exponential family, in: AIP Conference Proceedings, AIP

Reference 45

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This paper cites Statistics of directional data.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Statistics of directional data

Reference 46

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This paper cites Any statistical manifold has a contrast function—on the c3-functions taking the minimum at the diagonal of the product manifold.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Any statistical manifold has a contrast function—on the c3-functions taking the minimum at the diagonal of the product manifold

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.373271Z

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This paper cites Manifolds of diﬀerentiable mappings.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Manifolds of diﬀerentiable mappings

Reference 48

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This paper cites On the betti numbers of real varieties.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds On the betti numbers of real varieties

Reference 49

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This paper cites Numerical optimization.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Numerical optimization

Reference 50

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This paper cites Aﬃne diﬀerential geometry: geometry of aﬃne immersions.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Aﬃne diﬀerential geometry: geometry of aﬃne immersions

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.301181Z

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Observation 9b6dc3e2-ad1b-4cd0-8d45-238db11ca30e · outbound

This paper cites On an intrinsic analysis of statistical estimation, in: Multivariate Analysis: Future Directions 2.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds On an intrinsic analysis of statistical estimation, in: Multivariate Analysis: Future Directions 2

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.280707Z

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Observation e8a58229-8647-4b6a-b8a1-268dbfb15340 · outbound

This paper cites Information-geometric op- timization algorithms: A unifying picture via invariance principles.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Information-geometric op- timization algorithms: A unifying picture via invariance principles

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.264000Z

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Observation 5d52ea37-078d-4c4c-a6ec-bb6a9d8721c8 · outbound

This paper cites Probabilities and statistics on Riemannian manifolds: A geo- metric approach.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Probabilities and statistics on Riemannian manifolds: A geo- metric approach

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.246041Z

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Observation 5cd0c4ae-6f4a-4b3b-8614-d57d72e99f2f · outbound

This paper cites Intrinsic statistics on riemannian manifolds: Basic tools for geometric measurements.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Intrinsic statistics on riemannian manifolds: Basic tools for geometric measurements

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.226044Z

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This paper cites Riemannian geometry.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Riemannian geometry

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.205214Z

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Geometry of leaves

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.183747Z

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This paper cites Geometry of PDEs and mechanics.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Geometry of PDEs and mechanics

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.165863Z

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Principles of mathematical analysis

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.148659Z

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This paper cites Riemannian Geometry.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Riemannian Geometry

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.128726Z

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This paper cites The geometry of Hessian structures.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The geometry of Hessian structures

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.108792Z

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Geometry of Hessian manifolds

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.084230Z

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This paper cites The statistical theory of shape.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The statistical theory of shape

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.063047Z

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Observation 060b921c-92ab-433f-a946-246484c1a43a · outbound

This paper cites A comprehensive introduction to diﬀerential geometry, publish or perish.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds A comprehensive introduction to diﬀerential geometry, publish or perish

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.042825Z

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This paper cites Virtual library of simulation experiments: Test functions and datasets.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Virtual library of simulation experiments: Test functions and datasets

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.024133Z

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Su una congettura di nash

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.997701Z

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Observation 0629e76a-7491-48b8-91a8-f7a5b5542dc5 · outbound

This paper cites Riemannian consensus for manifolds with bounded curvature.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Riemannian consensus for manifolds with bounded curvature

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.978453Z

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Observation 91d88400-ee4c-4cd2-8a1d-1722cc31fdd3 · outbound

This paper cites The self-intersections of a smooth n-manifold in 2n-space.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The self-intersections of a smooth n-manifold in 2n-space

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.959255Z

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds The singularities of a smooth n-manifold in (2n- 1)-space

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.940338Z

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Observation 5ce20e33-56e7-4df1-8b88-b54e0e687cf9 · outbound

This paper cites Fitness expectation maximization, in: International Conference on Parallel Problem Solving from Nature, Springer.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Fitness expectation maximization, in: International Conference on Parallel Problem Solving from Nature, Springer

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.913441Z

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Observation 3151806e-8999-46bf-9ca9-2471e4a92589 · outbound

This paper cites Natural evolution strategies, in: 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence), IEEE.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Natural evolution strategies, in: 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence), IEEE

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.895117Z

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Observation 7b57b9f0-46a4-45c1-96dd-2a4258e5a5e2 · outbound

This paper cites On the convergence of a class of estimation of distribution algorithms.

A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds On the convergence of a class of estimation of distribution algorithms

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.873790Z

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Observation 8ea08775-6ee9-4f5a-8040-5173bddee631 · outbound

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Unresolved cited work

Reference 75

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:45:09.848967Z

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Observation cf6bb32d-85ee-4b64-9ca2-fa9e0cdea381 · outbound

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds personal best

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:09.820287Z

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Observation 4b93d7f6-8c3f-4370-aa88-7df0a960d3e7 · outbound

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Unresolved cited work

Reference 176

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Observation 94c33565-2bd4-4dc6-a596-a0fa3505776b · outbound

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A Framework for Population-Based Stochastic Optimization on Abstract Riemannian Manifolds Natural Computing 3, 77–112

Reference 2004

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:45:10.580605Z

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