Search results for "Homotopy"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
28	Kenji Ohmori, Wona Lee	Shape Modeling Using Cellular Structured Spaces.	CW	2002	DBLP DOI BibTeX RDF	homotopy model, filtration, cellular spatial structures
28	Toshio Kodama, Tosiyasu L. Kunii	Homotopic Database Animation.	CA	2002	DBLP DOI BibTeX RDF	database animation, cellular databases, homotopic animation, homotopy, cellular model
28	George Baciu, Tosiyasu L. Kunii	Homological Invariants and HolorGraphic Representations of Topological Structures in Cellular Spaces.	Computer Graphics International	2000	DBLP DOI BibTeX RDF	holors, graph theory, geometric modeling, homotopy, simplicial complexes, topological spaces, cellular spaces
28	Tosiyasu L. Kunii, Hideko S. Kunii	A Cellular Model for Information Systems on the Web-Integrating Local and Global Information.	DANTE	1999	DBLP DOI BibTeX RDF	a cellular model, a web information model, a cyberworld model, integrating local models globally, a situation model, web information mining, homotopy theory, cellular spatial structures
28	Gilles Bertrand 0001, Michel Couprie	Some Structural Properties of Discrete Surfaces.	DGCI	1997	DBLP DOI BibTeX RDF	surfaces, homotopy, simple points, discrete topology
27	Wenbo He, Yunshen Huang, Jie Wang, Shen Zeng	Homotopy Method for Optimal Motion Planning With Homotopy Class Constraints.	IEEE Control. Syst. Lett.	2023	DBLP DOI BibTeX RDF
27	Sergey V. Arkhipov, Sebastian Ørsted	Homotopy (Co)limits via Homotopy (Co)ends in General Combinatorial Model Categories.	Appl. Categorical Struct.	2023	DBLP DOI BibTeX RDF
27	Jonathan Prieto-Cubides	On homotopy of walks and spherical maps in homotopy type theory.	CPP	2022	DBLP DOI BibTeX RDF
27	Jonathan Prieto-Cubides	On Homotopy of Walks and Spherical Maps in Homotopy Type Theory.	CoRR	2021	DBLP BibTeX RDF
27	Jafar Biazar, Roya Montazeri	Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind.	J. Appl. Math.	2019	DBLP DOI BibTeX RDF
27	Guillaume Brunerie	On the homotopy groups of spheres in homotopy type theory.	CoRR	2016	DBLP BibTeX RDF
27	Alexander V. Evako	Classification of graphs using contractible transformations. Homotopy equivalence of graphs. Basic representatives and complexity of homotopy equivalence classes.	CoRR	2015	DBLP BibTeX RDF
27	Hassan A. Zedan, W. Barakati, Nada Hamad	The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions.	J. Appl. Math.	2013	DBLP DOI BibTeX RDF
27	Majid Khan, Muhammad Asif Gondal, Iqtadar Hussain, S. Karimi Vanani	A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain.	Math. Comput. Model.	2012	DBLP DOI BibTeX RDF
27	Subir Das, Praveen Kumar Gupta	Application of homotopy perturbation method and homotopy analysis method to fractional vibration equation.	Int. J. Comput. Math.	2011	DBLP DOI BibTeX RDF
27	Ilkka Malinen, Juha Tanskanen	Homotopy parameter bounding in increasing the robustness of homotopy continuation methods in multiplicity studies.	Comput. Chem. Eng.	2010	DBLP DOI BibTeX RDF
27	Philippe Gaucher	T-Homotopy and Refinement of Observation - Part II: Adding New T-Homotopy Equivalences.	Int. J. Math. Math. Sci.	2007	DBLP DOI BibTeX RDF
27	Tzong-Mou Wu	Solving the nonlinear equations by the Newton-homotopy continuation method with adjustable auxiliary homotopy function.	Appl. Math. Comput.	2006	DBLP DOI BibTeX RDF
27	Shijun Liao	Comparison between the homotopy analysis method and homotopy perturbation method.	Appl. Math. Comput.	2005	DBLP DOI BibTeX RDF
27	Ji-Huan He	Comparison of homotopy perturbation method and homotopy analysis method.	Appl. Math. Comput.	2004	DBLP DOI BibTeX RDF
27	Beifang Chen, Shing-Tung Yau, Yeong-Nan Yeh	Graph homotopy and Graham homotopy.	Discret. Math.	2001	DBLP DOI BibTeX RDF
27	Klaus Heiner Kamps, Timothy Porter 0001	Abstract homotopy and simple homotopy theory.		1997	RDF
25	Hans-Joachim Baues, Fernando Muro	Smash Products for Secondary Homotopy Groups.	Appl. Categorical Struct.	2008	DBLP DOI BibTeX RDF	Mathematics Subject Classifications (2000) 55Q15, 55Q35, 55S45
25	Tsung-Lin Lee, Tien-Yien Li, Chih-Hsiung Tsai	HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method.	Computing	2008	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) 65H10, 65H15, 90B99
25	Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau	Guaranteeing the Homotopy Type of a Set Defined by Non-Linear Inequalities.	Reliab. Comput.	2007	DBLP DOI BibTeX RDF
25	Anton Leykin, Jan Verschelde	Interfacing with the Numerical Homotopy Algorithms in PHCpack.	ICMS	2006	DBLP DOI BibTeX RDF
25	Javier Vidal, José Crespo, Victor Maojo	Inclusion Relationships and Homotopy Issues in Shape Interpolation for Binary Images.	DGCI	2005	DBLP DOI BibTeX RDF	median set, image processing, interpolation, mathematical morphology, shape interpolation
25	Wenhui Li 0002, Chunhong Cao, Wan Yi	A New Algebraic-Based Geometric Constraint Solving Approach: Path Tracking Homotopy Iteration Method.	CIS	2004	DBLP DOI BibTeX RDF
25	Jaewook Lee 0001	A novel homotopy-based algorithm for the closest unstable equilibrium point method in nonlinear stability analysis.	ISCAS (3)	2003	DBLP DOI BibTeX RDF
25	Yasuaki Inoue, Saeko Kusanobu, Kiyotaka Yamamura, M. Ando	An effective initial solution algorithm for globally convergent homotopy methods.	ISCAS (3)	2003	DBLP DOI BibTeX RDF
25	Daniel Kotzor, Thorsten Theobald	Homotopy techniques for real-time visualization of geometric tangent problems.	SCG	2002	DBLP DOI BibTeX RDF
25	Ernesto Chiarantoni, Girolamo Fornarelli, Silvano Vergura, Tiziano Politi	A Fixed Point Homotopy Method for Efficient Time-Domain Simulation of Power Electronic Circuits.	International Conference on Computational Science (3)	2002	DBLP DOI BibTeX RDF
25	Jaewook Lee 0001, Hsiao-Dong Chiang	Computation of multiple type-one equilibrium points on the stability boundary using generalized fixed-point homotopy methods.	ISCAS (3)	2001	DBLP DOI BibTeX RDF
25	Akio Ushida, Yoshihiro Yamagami, Ikkei Kinouchi, Yoshifumi Nishio, Yasuaki Inoue	An efficient algorithm for finding multiple DC solutions based on Spice oriented Newton homotopy method.	ISCAS (5)	2001	DBLP DOI BibTeX RDF
25	Sakaki Morishita, Neil Henderson	Homotopy and Intellectual Property.	Computer Graphics International	1999	DBLP DOI BibTeX RDF
25	Ichiro Hagiwara, Shinsuke Noda	Homotopical Modeling as the Basis of New CAD Standard Homotopy CAD for Collaboration Engineering.	Computer Graphics International	1999	DBLP DOI BibTeX RDF
25	Laura Anderson	Homotopy Groups of the Combinatorial Grassmannian.	Discret. Comput. Geom.	1998	DBLP DOI BibTeX RDF
25	Layne T. Watson, Masha Sosonkina, Robert C. Melville, Alexander P. Morgan, Homer F. Walker	Algorithm 777: HOMPACK90: A Suite of Fortran 90 Codes for Globally Convergent Homotopy Algorithms.	ACM Trans. Math. Softw.	1997	DBLP DOI BibTeX RDF	Chow-Yorke algorithm, fixed point, Fortran 90, curve tracking
25	Gudrun Albrecht, Rida T. Farouki	Construction ofC2 Pythagorean-hodograph interpolating splines by the homotopy method.	Adv. Comput. Math.	1996	DBLP DOI BibTeX RDF
24	Jie Gao 0001, Leonidas J. Guibas, Steve Oudot, Yue Wang	Geodesic Delaunay triangulation and witness complex in the plane.	SODA	2008	DBLP BibTeX RDF
24	Dongshu Yan, Jintao Zhang, Bo Yu 0003, Changtong Luo, Shaoliang Zhang	A Genetic Algorithm for Finding Minimal Multi-homogeneous Bézout Number.	ACIS-ICIS	2008	DBLP DOI BibTeX RDF	minimal multi-homogeneous Bezout number, genetic algorithm, heuristics, polynomial equations
24	Eric Goubault, Emmanuel Haucourt	Components of the Fundamental Category II.	Appl. Categorical Struct.	2007	DBLP DOI BibTeX RDF	Mathematics Subject Classifications (2000) 18A20, 18A22, 18A32, 18A40
24	Tomohiko Mizutani, Akiko Takeda, Masakazu Kojima	Dynamic Enumeration of All Mixed Cells.	Discret. Comput. Geom.	2007	DBLP DOI BibTeX RDF
24	Tryphon T. Georgiou	Relative entropy and the multivariable multidimensional moment problem.	IEEE Trans. Inf. Theory	2006	DBLP DOI BibTeX RDF
24	Leonard Jaillet, Thierry Siméon	Path Deformation Roadmaps.	WAFR	2006	DBLP DOI BibTeX RDF
24	Dmitry N. Kozlov	Directed Trees in a String, Real Polynomials with Triple Roots, and Chain Mails.	Discret. Comput. Geom.	2004	DBLP DOI BibTeX RDF
24	Zvi Shiller, Yusuke Fujita, Dan Ophir, Yoshihiko Nakamura	Computing a Set of Local Optimal Paths through Cluttered Environments and over Open Terrain.	ICRA	2004	DBLP DOI BibTeX RDF
24	Robin Forman	Morse Theory and Evasiveness.	Comb.	2000	DBLP DOI BibTeX RDF	AMS Subject Classification (1991) Classes: 05C99, 55U05
16	Ojaswa Sharma, Francois Anton	Homotopic Object Reconstruction Using Natural Neighbor Barycentric Coordinates.	ISVD	2010	DBLP DOI BibTeX RDF	continuous deformations, linear cross sections, reconstruction, Homotopy
16	Peter Bürgisser, Felipe Cucker	Solving polynomial equations in smoothed polynomial time and a near solution to smale's 17th problem.	STOC	2010	DBLP DOI BibTeX RDF	approximate zero, polynomial equation solving, complexity, polynomial time, smoothed analysis, homotopy methods
16	Helmut Maier	Fundamental Theorem of Algebra.	Encyclopedia of Optimization	2009	DBLP DOI BibTeX RDF	Argument principle, Homotopy, Splitting field
16	Peter Orlik	Hyperplane Arrangements.	Encyclopedia of Optimization	2009	DBLP DOI BibTeX RDF	Geometric semilattice, Orlik-Solomon algebra, Divisor, Homotopy type, Poincaré polynomial, Ball quotient, Logarithmic form, Hypergeometric integral, Singularity, Complement, Hyperplane arrangement
16	Jürgen Guddat, Francisco Guerra Vázquez, Dieter Nowack	Parametric Optimization: Embeddings, Path Following and Singularities.	Encyclopedia of Optimization	2009	DBLP DOI BibTeX RDF	Generic singularities, Embedding, Path following, Parametric optimization, Continuation method, Homotopy method
16	Leigh Tesfatsion	Nonlocal Sensitivity Analysis with Automatic Differentiation.	Encyclopedia of Optimization	2009	DBLP DOI BibTeX RDF	Nonlocal sensitivity analysis, Nasa program, Feed algorithm, Adaptive homotopy, Adaptive computational method, Automatic differentiation
16	Jeff Danciger, Satyan L. Devadoss, John Mugno, Don Sheehy, Rachel A. Ward	Shape deformation in continuous map generalization.	GeoInformatica	2009	DBLP DOI BibTeX RDF	Continuous generalization, Scale change, Homotopy, Cartograms
16	Pedro Real 0001	Connectivity Forests for Homological Analysis of Digital Volumes.	IWANN (1)	2009	DBLP DOI BibTeX RDF	digital volume, graph, tree, homology, forest, cell complex, cohomology, chain homotopy
16	Helena Molina-Abril, Pedro Real 0001	Homological Computation Using Spanning Trees.	CIARP	2009	DBLP DOI BibTeX RDF	digital volume, tree, spanning tree, homology, Cell complex, gradient vector field, chain homotopy
16	Ainhoa Berciano, Helena Molina-Abril, Ana Pacheco, Pawel Pilarczyk, Pedro Real 0001	Decomposing Cavities in Digital Volumes into Products of Cycles.	DGCI	2009	DBLP DOI BibTeX RDF	cubical homology, cubical set, cavity, Alexander Whitney diagonal, algebraic gradient vector field, digital image, cycle, homology, cell complex, chain homotopy
16	Pedro Real 0001, Helena Molina-Abril, Walter G. Kropatsch	Homological Tree-Based Strategies for Image Analysis.	CAIP	2009	DBLP DOI BibTeX RDF	digital volume, tree, skeleton, homology, image pyramid, Cell complex, gradient vector field, chain homotopy
16	Saugata Basu	On the Number of Topological Types Occurring in a Parameterized Family of Arrangements.	Discret. Comput. Geom.	2008	DBLP DOI BibTeX RDF	O-minimal structures, Homotopy types, Arrangements, Combinatorial complexity
16	Yun Guan, Jan Verschelde	Parallel Implementation of a Subsystem-by-Subsystem Solver.	HPCS	2008	DBLP DOI BibTeX RDF	subsystem-by-subsystem solver, polynomial systems, homotopy continuation
16	Erin W. Chambers, Jeff Erickson 0001, Pratik Worah	Testing contractibility in planar rips complexes.	SCG	2008	DBLP DOI BibTeX RDF	rips shadow, vietoris-rips complex, computational topology, homotopy
16	Peidong Wu, Changlin Wu, Lianqing Yu	An Method for Forward Kinematics of Stewart Parallel Manipulators.	ICIRA (1)	2008	DBLP DOI BibTeX RDF	Forward Kinematics, Homotopy Theory, Parallel Manipulators
16	Anton Leykin	Numerical primary decomposition.	ISSAC	2008	DBLP DOI BibTeX RDF	polynomial homotopy continuation, primary decomposition, numerical algebraic geometry, deflation
16	Charles W. Wampler II	Numerical algebraic geometry and kinematics.	SNC	2007	DBLP DOI BibTeX RDF	robotics, kinematics, numerical algebraic geometry, homotopy continuation
16	Derek Justice, Alfred O. Hero III	A Binary Linear Programming Formulation of the Graph Edit Distance.	IEEE Trans. Pattern Anal. Mach. Intell.	2006	DBLP DOI BibTeX RDF	continuation (homotopy) methods, linear programming, similarity measures, Graph algorithms, graphs and networks, structural pattern recognition
16	Kenji Ohmori, Tosiyasu L. Kunii	An Incrementally Modular Abstraction Hierarchy for Linear Software Development Methodology.	CW	2006	DBLP DOI BibTeX RDF	incrementally modular abstraction hierarchy, fiber bundles, adjunction spaces, software development, homotopy, cellular spaces, Cyberworlds
16	Frédéric Chazal, André Lieutier	Weak feature size and persistent homology: computing homology of solids in Rn from noisy data samples.	SCG	2005	DBLP DOI BibTeX RDF	homotopy type, topological persistence, reverse engineering, surface reconstruction
16	Michael A. Erdmann	Protein similarity from knot theory and geometric convolution.	RECOMB	2004	DBLP DOI BibTeX RDF	writhing, homotopy, protein structure, homology, robot motion planning, knot theory
16	Tomoyuki Nieda, Alexander A. Pasko, Tosiyasu L. Kunii	Detection and Classification of Critical Points for Linear Metamorphosis.	CW	2004	DBLP DOI BibTeX RDF	classification, homotopy, critical points, Morse theory, Metamorphosis
16	Dmitrii Berzin, Ichiro Hagiwara	Minimal area for surface reconstruction from cross sections.	Vis. Comput.	2002	DBLP DOI BibTeX RDF	Optimal shape from slices, Interpolation, Geometric modeling, Homotopy
16	Jaijeet S. Roychowdhury	A time-domain RF steady-state method for closely spaced tones.	DAC	2002	DBLP DOI BibTeX RDF	MPDE, RF switching mixers, analog/RF simulation, artificial time scales, difference-frequency time scales, multi-time PDEs, shooting, analog, homotopy, mixed-signal, envelope, continuation methods, harmonic balance
16	Yassin M. Y. Hasan, Lina J. Karam	Morphological Reversible Contour Representation.	IEEE Trans. Pattern Anal. Mach. Intell.	2000	DBLP DOI BibTeX RDF	contour coding, contour filling, topology, mathematical morphology, Shape analysis, shape representation, binary images, homotopy
16	Tamal K. Dey, Sumanta Guha	Computing Homology Groups of Simplicial Complexes in R3.	J. ACM	1998	DBLP DOI BibTeX RDF	d/ dimensions, generators, topology, homotopy, homology, simplicial complexes
16	Yoshihisa Shinagawa, Tosiyasu L. Kunii	Unconstrained Automatic Image Matching Using Multiresolutional Critical-Point Filters.	IEEE Trans. Pattern Anal. Mach. Intell.	1998	DBLP DOI BibTeX RDF	critical-point filters, volume rendering, Image matching, multiresolution, morphing, nonlinear filters, singularity, homotopy, image interpolation
16	Ming-Deh A. Huang, Yiu-Chung Wong	Solving Systems of Polynomial Congruences Modulo a Large Prime (extended abstract).	FOCS	1996	DBLP DOI BibTeX RDF	polynomial congruences, algebraic homotopy method, algebraic set, computational complexity, randomized algorithm, decision, parallel complexity
16	Lenwood S. Heath, Sorin Istrail	The Pagenumber of Genus g Graphs is O(g).	J. ACM	1992	DBLP DOI BibTeX RDF	book embeddings, graph genus, homotopy classes, planar-nonplanar decomposition, surface embeddings
16	Majid Sarrafzadeh, D. T. Lee	Topological Via Minimization Revisited.	IEEE Trans. Computers	1991	DBLP DOI BibTeX RDF	topological via minimization problem, two-layer environment, two-terminal nets, bounded region, two-sided channel routing problem, partition number, circle graph, graph theory, circuit layout CAD, homotopy, optimal solution
13	Patrick Gillespie	Vietoris thickenings and complexes are weakly homotopy equivalent.	J. Appl. Comput. Topol.	2024	DBLP DOI BibTeX RDF
13	Ghaliah Alhamzi, Aafrin Gouri, Badr Saad T. Alkahtani, Ravi Shanker Dubey	Analytical Solution of Generalized Bratu-Type Fractional Differential Equations Using the Homotopy Perturbation Transform Method.	Axioms	2024	DBLP DOI BibTeX RDF
13	Nesreen Althobaiti, Sayed M. Abo-Dahab, Araby Atef Kilany, Abdelmooty M. Abd-Aalla	Solution of a Half-Space in Generalized Thermoelastic Problem in the Context of Two Models Using the Homotopy Perturbation Method.	Axioms	2024	DBLP DOI BibTeX RDF
13	Ci Chen, Frank L. Lewis, Kan Xie, Shengli Xie	Adaptive Optimal Control of Unknown Nonlinear Systems via Homotopy-Based Policy Iteration.	IEEE Trans. Autom. Control.	2024	DBLP DOI BibTeX RDF
13	Haoyang Zheng, Yao Huang, Ziyang Huang, Wenrui Hao, Guang Lin	HomPINNs: Homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions.	J. Comput. Phys.	2024	DBLP DOI BibTeX RDF
13	Andreas Klingler, Tim Netzer	Homotopy Methods for Convex Optimization.	CoRR	2024	DBLP DOI BibTeX RDF
13	Axel Ljungström, Anders Mörtberg	Computational Synthetic Cohomology Theory in Homotopy Type Theory.	CoRR	2024	DBLP DOI BibTeX RDF
13	Daniel Gratzer, Håkon Gylterud, Anders Mörtberg, Elisabeth Stenholm	The Category of Iterative Sets in Homotopy Type Theory and Univalent Foundations.	CoRR	2024	DBLP DOI BibTeX RDF
13	Peixuan Li, Chuangyin Dang, Yang Zhan 0006	A Gradually Reinforced Sample-Average-Approximation Differentiable Homotopy Method for a System of Stochastic Equations.	CoRR	2024	DBLP DOI BibTeX RDF
13	Jonathan Weinberger	Generalized Chevalley criteria in simplicial homotopy type theory.	CoRR	2024	DBLP DOI BibTeX RDF
13	Timothy Duff, Kisun Lee	Certified homotopy tracking using the Krawczyk method.	CoRR	2024	DBLP DOI BibTeX RDF
13	Nathan Corbyn, Lukas Heidemann, Nick Hu, Chiara Sarti, Calin Tataru, Jamie Vicary	homotopy.io: a proof assistant for finitely-presented globular n-categories.	CoRR	2024	DBLP DOI BibTeX RDF
13	Axel Ljungström	Symmetric Monoidal Smash Products in Homotopy Type Theory.	CoRR	2024	DBLP DOI BibTeX RDF
13	Xingbang Cui, Liping Zhang	Computing the dominant eigenpair of an essentially nonnegative tensor via a homotopy method.	J. Comput. Appl. Math.	2024	DBLP DOI BibTeX RDF
13	Nazmul Sk, Golam Biswas	Soft Homotopy Classes and Their Fundamental Group.	New Math. Nat. Comput.	2024	DBLP DOI BibTeX RDF
13	Henry Adams, Florian Frick, Ziga Virk	Vietoris thickenings and complexes have isomorphic homotopy groups.	J. Appl. Comput. Topol.	2023	DBLP DOI BibTeX RDF
13	Yang-yang Liu, Jian-wei Liu 0006	An attempt to apply the homotopy method to the domain of machine learning.	Expert Syst. Appl.	2023	DBLP DOI BibTeX RDF
13	Fujie Yu, Yuan Chen	Cyl-IRRT*: Homotopy Optimal 3D Path Planning for AUVs by Biasing the Sampling Into a Cylindrical Informed Subset.	IEEE Trans. Ind. Electron.	2023	DBLP DOI BibTeX RDF
13	Shan Luo 0002, Tao Zhou, Yong Xiao, Rongping Lin, Yao Yan	Predicting spectrum status duration using non-linear homotopy estimation based HMM for UAV communications.	Signal Process.	2023	DBLP DOI BibTeX RDF
13	Fedor Manin	Rational Homotopy Type and Computability.	Found. Comput. Math.	2023	DBLP DOI BibTeX RDF
13	Ulrik Buchholtz, Egbert Rijke	The long exact sequence of homotopy n-groups.	Math. Struct. Comput. Sci.	2023	DBLP DOI BibTeX RDF
13	Dan Licata, Peter LeFanu Lumsdaine	Special issue on homotopy type theory 2019 vol. 2.	Math. Struct. Comput. Sci.	2023	DBLP DOI BibTeX RDF