- On the cardinalities of quantum Latin squares
2025/08/04 by Yajuan Zang, Mei C. Zheng, Zang, Yajuan +5 · 1 citation
Computer Science · Engineering · Mathematics · #Basis (linear algebra) #Cardinality (data modeling) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Graph Labeling and Dimension Problems #Hilbert space #Mathematical Physics (math-ph) #Orthonormal basis #Orthonormality #Product (mathematics) #Quantum #Rings, Modules, and Algebras #Space (punctuation) #Unit vector #Vector space #graph theory and CDMA systems
- Harnessing the Universal Geometry of Embeddings
2025/05/18 by Rishi Jha, Collin Zhang, Jha, Rishi +5 · 40 voices · 35 citations
Computer Science · #Advanced Graph Neural Networks #Adversarial Robustness in Machine Learning #Cosine similarity #Embedding #Feature learning #Representation (politics) #Similarity (geometry) #Space (punctuation) #Topic Modeling #Vector space
- Reality as a Vector in Hilbert Space
2021/03/17 by Sean M. Carroll, Carroll, Sean M. · 4 voices · 6 citations
Mathematics · Physics and Astronomy · #Algorithm #Computer science #Hamiltonian (control theory) #Hilbert space #Mathematics #Physical law #Physics #Position (finance) #Pure mathematics #Quantum Mechanics and Applications #Quantum mechanics #Reproducing kernel Hilbert space #Rigged Hilbert space #Sketch #Space (punctuation) #Theoretical physics #Vector space #gr-qc #hep-th #physics.hist-ph #quant-ph
- Categorical Vector Space Semantics for Lambek Calculus with a Relevant Modality
2020/05/06 by Lachlan McPheat, Mehrnoosh Sadrzadeh, Hadi Wazni +1 · 1 citation
Computer Science · Mathematics · #Adjunction #Advanced Text Analysis Techniques #Algebra over a field #Artificial intelligence #Categorical variable #Category theory #Computer science #Construct (python library) #Distributional semantics #Functor #Mathematics #Modality (human–computer interaction) #Natural Language Processing Techniques #Natural language processing #Programming language #Pure mathematics #Semantics (computer science) #Sentence #Topic Modeling #Vector space
- Nonstandard rank-one nonincreasing maps on symmetric matrices
2017/12/28 by Marko Orel · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Combinatorics #Field (mathematics) #Interpretation (philosophy) #Jordan algebra #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Multilinear algebra #Multilinear map #Pure mathematics #Rank (graph theory) #Tensor decomposition and applications #Vector space
- Learning Latent Vector Spaces for Product Search
2016/08/25 by Christophe Van Gysel, Maarten de Rijke, Evangelos Kanoulas · 1 citation
Computer Science · #Discriminative model #Feature (linguistics) #Feature vector #Latent variable #Natural Language Processing Techniques #Product (mathematics) #Rank (graph theory) #Relation (database) #Space (punctuation) #Text and Document Classification Technologies #Topic Modeling #Vector space #cs.AI #cs.CL #cs.IR
- Totally almost bipartite Leonard pairs and Leonard triples of q-Racah type
2016/05/06 by Wang Yan, Yan Wang, Bo Hou +1 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Algebraically closed field #Bipartite graph #Coding theory and cryptography #Combinatorics #Diagonal #Dimension (graph theory) #Discrete mathematics #Eigenvalues and eigenvectors #Geometry #Isomorphism (crystallography) #Mathematics #Matrix (chemical analysis) #Physics #Pure mathematics #Quantum #Quantum mechanics #Root of unity #Tridiagonal matrix #Type (biology) #Vector space
- On Hom–Lie algebras
2015/02/18 by Yunhe Sheng, Zhen Xiong · 5 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Graded Lie algebra #Homotopy and Cohomology in Algebraic Topology #Invertible matrix #Lie conformal algebra #Mathematics #Pure mathematics #Universal enveloping algebra #Vector space
- AutoExtend: Extending Word Embeddings to Embeddings for Synsets and Lexemes
2015/01/01 by Sascha Rothe, Hinrich Schütze, Sch\"utze, Hinrich · 1 citation
Computer Science · Mathematics · #Artificial intelligence #Computer science #Image (mathematics) #Lexeme #Linguistics #Mathematics #Multimodal Machine Learning Applications #Natural Language Processing Techniques #Natural language processing #Pure mathematics #Similarity (geometry) #Space (punctuation) #Tensor (intrinsic definition) #Topic Modeling #Vector space #Word (group theory) #Word-sense disambiguation #WordNet
- Separable States with Unique Decompositions
2012/10/31 by Kil-Chan Ha, Seung-Hyeok Kye · 7 citations
Computer Science · Mathematics · Physics and Astronomy · #Boundary (topology) #Combinatorics #Convex set #Face (sociological concept) #Geometry #Linear span #Linear subspace #Mathematical analysis #Mathematics #Physics #Product (mathematics) #Pure mathematics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Rank (graph theory) #Regular polygon #Separable space #Separable state #Simplex #Vector space #math.OA #msc:15A30 #msc:46L05 #msc:81P15 #quant-ph
- A Spectral Theoretic Proof of Perron–Frobenius
2002/01/01 by M. R.F. Symth · 1 citation
Computer Science · Engineering · Mathematics · #Matrix Theory and Algorithms #graph theory and CDMA systems #Graph theory and applications #Mathematics #Eigenvalues and eigenvectors #Spectral radius #Spectrum (functional analysis) #Combinatorics #Projection (relational algebra) #Matrix (chemical analysis) #Operator (biology) #Generalized eigenvector #Diagonal #Vector space #Pure mathematics #Discrete mathematics #Symmetric matrix #Geometry #Algorithm
- Multivalued groups, their representations and Hopf algebras
1997/12/01 by V. M. Buchstaber, Victor Matveevich Buchstaber, Elmer Rees +1 · 6 citations
Mathematics · #Abelian group #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebra over a field #Algebra representation #Algebraic structure #Cellular algebra #Cohomology #Coset #Discrete mathematics #Group (periodic table) #Group action #Group ring #Homotopy and Cohomology in Algebraic Topology #Hopf algebra #Mathematics #Pure mathematics #Representation theory of Hopf algebras #Vector space
- Finite covers with finite kernels
1997/11/01 by David M. Evans · 1 citation
Computer Science · Mathematics · #Advanced Topology and Set Theory #Combinatorics #Cover (algebra) #Covering space #Digraph #Discrete mathematics #Epimorphism #Finite Group Theory Research #Invariant (physics) #Kernel (algebra) #Mathematics #Permutation (music) #Pure mathematics #Topological space #Vector space #semigroups and automata theory
- Harmonic analysis in (UMD)-spaces: Applications to the theory of bases
1995/12/01 by Fedor Sukochev, F. A. Sukochev, S. V. Ferleger +1 · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Algebra over a field #Applied mathematics #Birnbaum–Orlicz space #Function space #Functional analysis #Interpolation space #Martingale (probability theory) #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Property (philosophy) #Pure mathematics #Vector space
- Transformations on tensor spaces II
1995/11/01 by R. Westwick · 2 citations
Mathematics · #Cartesian tensor #Computer science #Domain (mathematical analysis) #Exact solutions in general relativity #Geometry #Mathematical analysis #Mathematics #Product (mathematics) #Pure mathematics #Range (aeronautics) #Space (punctuation) #Tensor (intrinsic definition) #Tensor contraction #Tensor decomposition and applications #Tensor density #Tensor field #Tensor product #Tensor product of Hilbert spaces #Vector space #advanced mathematical theories
- Polar factorization and monotone rearrangement of vector‐valued functions
1991/06/01 by Yann Brenier · 303 citations
Mathematics · #Bounded function #Discrete mathematics #Domain (mathematical analysis) #Factorization #Function (biology) #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Lebesgue integration #Lebesgue measure #Mathematical analysis #Mathematics #Measure (data warehouse) #Monotone polygon #Nonlinear Partial Differential Equations #Polar #Probability measure #Pure mathematics #Space (punctuation) #Standard probability space #Vector space #Weierstrass factorization theorem
- Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
1990/02/01 by M. H. Lim · 1 citation
Computer Science · Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Characterization (materials science) #Combinatorics #Geometry #Inner product space #Linear space #Mathematics #Matrix Theory and Algorithms #Product (mathematics) #Pure mathematics #Rank (graph theory) #Scalar (mathematics) #Vector space
- The Erdös-Ko-Rado theorem for vector spaces
1986/11/01 by Péter Frankl, P. Frankl, R.M. Wilson +1 · 4 citations
Mathematics · #Advanced Banach Space Theory #Combinatorics #Computer science #Discrete mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Linear subspace #Mathematics #Pure mathematics #Space (punctuation) #Vector space
- Group theory for unified model building
1981/12/01 by R Slansky, R. Slansky · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Computer science #Geometry #Group (periodic table) #Group representation #Group theory #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Representation theory #Simple (philosophy) #Symmetry group #Tensor product #Theoretical physics #Unification #Unified field theory #Vector space
- Discriminant preserving linear maps
1979/12/01 by Stephen Piercet · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Topics in Algebra #Artificial intelligence #Combinatorics #Computer science #Discriminant #Field (mathematics) #Graph Labeling and Dimension Problems #Linear discriminant analysis #Mathematics #Optimal discriminant analysis #Pure mathematics #Statistics #Vector space #graph theory and CDMA systems
- Linear transformations on symmetric matrices
1979/01/01 by M. H. Lim · 2 citations
Chemistry · Computer Science · Mathematics · #Algebra over a field #Chemistry #Combinatorics #Geometry #Linear map #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Pure mathematics #Rank (graph theory) #Signature (topology) #Vector space
- Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
1971/08/01 by David C. Kay, Eugene Wilson Womble · 1 citation
Mathematics · Computer Science · #Advanced Topology and Set Theory #Optimization and Variational Analysis #Functional Equations Stability Results #Mathematics #Convexity #Axiom #Radon #Regular polygon #Euclidean space #Axiomatic system #Combinatorics #Space (punctuation) #Vector space #Euclidean geometry #Discrete mathematics #Finite set #Pure mathematics #Mathematical analysis #Geometry
- Dual groups of vector spaces
1968/07/01 by William C. Waterhouse, William Waterhouse · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Topology and Set Theory #Dual (grammatical number) #Dual pair #Dual space #Functional analysis #Linguistics #Mathematics #Pure mathematics #Topological tensor product #Vector (molecular biology) #Vector space
- Vector Bundles and Projective Modules
1962/11/01 by Richard G. Swan · 1 citation
Mathematics · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #Mathematics #Vector bundle #Pure mathematics #Complex projective space #Vector space #Homomorphism #Projective space #Hausdorff space #Topology (electrical circuits) #Combinatorics #Discrete mathematics #Projective test
- Analytic functions and the Fourier transform of distributions. II
1958/01/01 by Leon Ehrenpreis · 2 citations
Economics, Econometrics and Finance · Mathematics · #Analytic continuation #Analytic function #Distribution (mathematics) #Euclidean space #Fourier analysis #Fourier inversion theorem #Fourier transform #Fractional Fourier transform #Generalization #Global analytic function #Mathematical analysis #Mathematical and Theoretical Analysis #Mathematics #Non-analytic smooth function #Pure mathematics #Space (punctuation) #Stochastic processes and financial applications #Vector space
- Ordered vector spaces
1952/12/01 by Melvin Hausner, J. G. Wendel · 1 citation
Mathematics · #Mathematical and Theoretical Analysis #Advanced Topology and Set Theory #advanced mathematical theories #Mathematics #Combinatorics #Pointwise #Equivalence relation #Vector space #Subspace topology #Space (punctuation) #Lexicographical order #Discrete mathematics #Pure mathematics #Mathematical analysis