1. The Universal Weight Subspace Hypothesis
   2025/12/04 by Prakhar Kaushik, Shravan Chaudhari, Kaushik, Prakhar +7 · 20 voices · 5 citations
   Computer Science · #Advanced Neural Network Applications #Adversarial Robustness in Machine Learning #Artificial neural network #Deep learning #Domain Adaptation and Few-Shot Learning #Linear subspace #Matrix decomposition #Parametric statistics #Principal component analysis #Range (aeronautics) #Subspace topology
2. Certified Model Order Reduction for parametric Hermitian eigenproblems
   2025/04/03 by Mattia Manucci, Benjamin Stamm, Manucci, Mattia +2 · 1 citation
   Computer Science · Mathematics · Physics and Astronomy · #41A63 #65F15 #65F50 #65K10 #65N25 #81P68 #Eigenvalues and eigenvectors #FOS: Mathematics #Hermitian matrix #Linear subspace #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Multiplicity (mathematics) #Numerical Analysis (math.NA) #Numerical methods for differential equations #Parametric statistics #Reduction (mathematics) #Spectrum (functional analysis) #Subspace topology
3. Clustering of Diverse Multiplex Networks
   2021/10/11 by Marianna Pensky, Pensky, Marianna, Yaxuan Wang +1 · 3 citations
   Computer Science · Mathematics · Physics and Astronomy · #Advanced Clustering Algorithms Research #Algorithm #Artificial intelligence #Block (permutation group theory) #Cluster (spacecraft) #Cluster analysis #Combinatorics #Complex Network Analysis Techniques #Computer science #Connection (principal bundle) #Dimple #FOS: Computer and information sciences #Geometry #Graph #Linear subspace #Materials science #Mathematics #Methodology (stat.ME) #Subspace topology #Tensor decomposition and applications #Theoretical computer science
4. Subspace stabilisers in hyperbolic lattices
   2021/05/14 by Mikhail Belolipetsky, Nikolay Bogachev, Belolipetsky, Mikhail +5 · 3 citations
   Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic geometry #Arithmetic #Geodesic #Geometric and Algebraic Topology #Hyperbolic function #Hyperbolic geometry #Hyperbolic manifold #Hyperbolic space #Hyperbolic triangle #Linear subspace #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Orbifold #Pure mathematics #Relatively hyperbolic group #Subspace topology
5. On Trace Theorems for Sobolev Spaces
   2019/10/09 by Pier Domenico Lamberti, Luigi Provenzano, Lamberti, Pier Domenico +1 · 2 citations
   Computer Science · Mathematics · #30H25 #46E35 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Computer science #Domain (mathematical analysis) #Eigenfunction #Euclidean space #FOS: Mathematics #Functional Analysis (math.FA) #Linear subspace #Lipschitz continuity #Lipschitz domain #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Physics #Pure mathematics #Sobolev inequality #Sobolev space #Space (punctuation) #TRACE (psycholinguistics)
6. Isoperimetry and volume preserving stability in real projective spaces
   2019/07/22 by Celso Viana, Viana, Celso · 3 citations
   Mathematics · #Antipodal point #Combinatorics #Conjecture #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Invariant (physics) #Isoperimetric inequality #Linear subspace #Mathematical physics #Mathematics #Nonlinear Partial Differential Equations #Physics #Projective space #Projective test #Pure mathematics #Volume (thermodynamics)
7. On Cayley’s Factorization of 4D Rotations and Applications
   2016/05/14 by Alba Pérez-Gracia, Alba Perez-Gracia, Federico Thomas · 3 citations
   Computer Science · Mathematics · #Algebra over a field #Algebraic and Geometric Analysis #Algorithm #Cayley transform #Clifford algebra #Combinatorics #Eigenvalues and eigenvectors #Factorization #Geometry #Linear subspace #Mathematics #Mathematics and Applications #Matrix Theory and Algorithms #Matrix decomposition #Orthogonal basis #Orthogonal matrix #Pure mathematics #QR decomposition #Rotation (mathematics)
8. An Improved Gap-Dependency Analysis of the Noisy Power Method
   2016/02/23 by Maria Florina Balcan, Balcan, Maria Florina, Simon S. Du +5 · 4 citations
   Computer Science · Engineering · Mathematics · #Algorithm #Artificial intelligence #Combinatorics #Computer science #Dependency (UML) #Dimensionality reduction #FOS: Computer and information sciences #FOS: Mathematics #Linear subspace #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematics #Matrix (chemical analysis) #Noise (video) #Numerical Analysis (math.NA) #Power (physics) #Principal component analysis #Random Matrices and Applications #Rank (graph theory) #Sigma #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Subspace topology
9. The ADI iteration for Lyapunov equations implicitly performsH2pseudo-optimal model order reduction
   2015/08/20 by T. Wolf, Thomas Wolf, Heiko K. F. Panzer +1 · 3 citations
   Decision Sciences · Mathematics · Physics and Astronomy · #Algorithm #Alternating direction implicit method #Applied mathematics #Block (permutation group theory) #Combinatorics #Finite difference method #Generalized minimal residual method #Iterative method #Krylov subspace #Linear subspace #Lyapunov equation #Lyapunov function #Mathematical analysis #Mathematical optimization #Mathematics #Model Reduction and Neural Networks #Model order reduction #Nonlinear system #Numerical methods for differential equations #Probabilistic and Robust Engineering Design #Projection (relational algebra) #Pure mathematics #Rank (graph theory) #Residual
10. Robust Subspace Clustering via Thresholding
    2013/07/18 by Reinhard Heckel, Helmut Bölcskei, Heckel, Reinhard +1 · 2 citations
    Computer Science · Engineering · Mathematics · #Adjacency list #Adjacency matrix #Advanced Statistical Methods and Models #Algorithm #Artificial intelligence #Cluster analysis #Clustering high-dimensional data #Combinatorics #Computer science #Data point #Dimension (graph theory) #FOS: Computer and information sciences #Face and Expression Recognition #Graph #Hyperplane #Information Theory (cs.IT) #Linear subspace #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematics #Outlier #Pattern recognition (psychology) #Remote-Sensing Image Classification #Robustness (evolution) #Spectral clustering #Subspace topology #Thresholding #cs.IT #cs.LG #math.IT #stat.ML
11. 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
12. A survey on unsupervised outlier detection in high‐dimensional numerical data
    2012/08/27 by Arthur Zimek, Erich Schubert, Hans‐Peter Kriegel · 3 citations
    Computer Science · Mathematics · Decision Sciences · #Anomaly Detection Techniques and Applications #Advanced Statistical Methods and Models #Advanced Statistical Process Monitoring #Outlier #Curse of dimensionality #Anomaly detection #Computer science #Linear subspace #Data mining #Euclidean distance #Clustering high-dimensional data #Task (project management) #Machine learning #Artificial intelligence #Mathematics #Cluster analysis
13. Geometric Algebra
    2012/05/27 by Eric Chisolm, Eric D. Chisolm, Chisolm, Eric · 1 voice
    Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Algebraic and Geometric Analysis #Cellular algebra #Clifford algebra #Conformal geometric algebra #Dimension (graph theory) #Exterior algebra #Filtered algebra #Geometric algebra #Geometry #Linear subspace #Mathematics #Multivector #Product (mathematics) #Pure mathematics #Universal geometric algebra #math-ph #math.MP
14. Existentially equivalent cyclic ultrametric spaces and cyclically valued groups
    2010/06/27 by Gérard Leloup · 1 citation
    Mathematics · #Fixed Point Theorems Analysis #Advanced Topology and Set Theory #Advanced Banach Space Theory #Ultrametric space #Equivalence (formal languages) #Linear subspace #Mathematics #Set (abstract data type) #Pure mathematics #Cartesian product #Equivalence class (music) #Discrete mathematics #Algebra over a field #Computer science #Metric space
15. The Invariant Subspace Problem for Non-Archimedean Banach Spaces
    2008/12/01 by Wiesław Śliwa · 1 citation
    Mathematics · #advanced mathematical theories #Mathematical and Theoretical Analysis #Advanced Banach Space Theory #Mathematics #Invariant subspace problem #Banach space #Countable set #Invariant subspace #Subspace topology #Invariant (physics) #Pure mathematics #Banach manifold #Discrete mathematics #C0-semigroup #Finite-rank operator #Lp space #Linear subspace #Mathematical analysis
16. Conformal designs based on vertex operator algebras
    2008/02/08 by Gerald Höhn · 5 citations
    Computer Science · Mathematics · #Algebra over a field #Algebra representation #Coding theory and cryptography #Combinatorics #Conformal map #Discrete mathematics #Finite Group Theory Research #Graph #Jordan algebra #Linear subspace #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Operator (biology) #Operator algebra #Pure mathematics #Vertex (graph theory) #Vertex operator algebra
17. The Present State and Heritages of the Invariant Subspace Problem
    2005/10/01 by B. S. Yadav · 1 citation
    Mathematics · #Algebra over a field #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #Invariant (physics) #Invariant subspace #Linear subspace #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Spectral Theory in Mathematical Physics #Subspace topology
18. Holomorphic disks and topological invariants for closed three-manifolds
    2004/05/01 by Peter Ozsváth, Zoltán Szabó · 121 citations
    Mathematics · #Advanced Combinatorial Mathematics #Combinatorics #Floer homology #Geometric and Algebraic Topology #Geometry #Gromov–Witten invariant #Holomorphic function #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Linear subspace #Mathematics #Product (mathematics) #Pure mathematics #Symplectic geometry #Symplectic manifold #Topology (electrical circuits)
19. Isometric Logratio Transformations for Compositional Data Analysis
    2003/04/01 by Juan José Egozcue, J. J. Egozcue, V. Pawlowsky-Glahn +2 · 2 citations
    Computer Science · Earth and Planetary Sciences · Engineering · Mathematics · #Algebra over a field #Compositional data #Computer science #Geochemistry and Geologic Mapping #Geological and Geochemical Analysis #Geometry #Hydrocarbon exploration and reservoir analysis #Linear map #Linear subspace #Mathematics #Orthogonality #Orthonormal basis #Pure mathematics #Simplex #Transformation (genetics)
20. Excitations in One-DimensionalS=12Quantum Antiferromagnets
    2002/11/30 by Kai P. Schmidt, Kai Phillip Schmidt, Götz S. Uhrig · 1 citation
    Mathematics · Physics and Astronomy · #Limit (mathematics) #Linear subspace #Magnetic properties of thin films #Mathematics #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Spectrum (functional analysis) #Spin (aerodynamics) #Spinon #Thermodynamics #Unitary state #cond-mat.str-el #cond-mat.supr-con
21. Some Aspects of the Invariant Subspace Problem
    2001/01/01 by R Enflo, Victor Lomonosov · 1 citation
    Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Algebra over a field #Banach space #Centralizer and normalizer #Combinatorics #Compact operator #Computer science #Discrete mathematics #Finite-rank operator #Holomorphic and Operator Theory #Invariant (physics) #Invariant subspace #Invariant subspace problem #Linear subspace #Mathematics #Operator (biology) #Operator algebra #Operator norm #Operator theory #Pure mathematics #Reflexive operator algebra #Transitive relation #Unbounded operator
22. Continuous finite elements in space and time for the nonhomogeneous wave equation
    1994/02/01 by L. A. Bales, L. Bales, I. Lasiecka +1 · 2 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Combinatorics #Convergence (economics) #Electromagnetic Simulation and Numerical Methods #Finite element method #Forcing (mathematics) #Linear subspace #Mathematical analysis #Mathematics #Physics #Pure mathematics #Space (punctuation) #Term (time) #Topology (electrical circuits) #Wave equation
23. Quantum logic revisited
    1991/06/01 by L. Rom�n, B. Rumbos · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Algebra over a field #Conjunction (astronomy) #Hilbert space #Lattice (music) #Linear subspace #Logic, Reasoning, and Knowledge #Mathematics #Noncommutative geometry #Physics #Pure mathematics #Quantum #Quantum Mechanics and Applications #Quantum computer #Quantum logic #Quantum mechanics #Theoretical physics
24. A condition equivalent to linear dependence for functions with vanishing Wronskian
    1989/04/01 by Kenneth Wolsson · 2 citations
    Mathematics · #Counterexample #Discrete mathematics #Intersection (aeronautics) #Linear subspace #Mathematical Dynamics and Fractals #Mathematics #Pure mathematics #Wronskian
25. The invariant subspace problem for a class of Banach spaces, 2: Hypercyclic operators
    1988/02/01 by C. J. Read · 2 citations
    Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Banach space #Class (philosophy) #Computer science #Discrete mathematics #Finite-rank operator #Holomorphic and Operator Theory #Invariant (physics) #Invariant subspace #Invariant subspace problem #Linear subspace #Mathematical analysis #Mathematics #Operator (biology) #Pure mathematics #Separable space #Subspace topology #Unbounded operator
26. On the invariant subspace problem for Banach spaces
    1987/01/01 by Per Enflo · 7 citations
    Mathematics · #Differential Equations and Boundary Problems #advanced mathematical theories #Advanced Banach Space Theory #Mathematics #Invariant subspace problem #Banach space #Invariant subspace #Subspace topology #Invariant (physics) #Banach manifold #Eberlein–Šmulian theorem #Pure mathematics #Interpolation space #Lp space #Linear subspace #Mathematical analysis #Functional analysis #Mathematical physics
27. The Erdös-Ko-Rado theorem for vector spaces
    1986/11/01 by Péter Frankl, P. Frankl, R. 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
28. Matrix analysis of statically and kinematically indeterminate frameworks
    1986/01/01 by Sergio Pellegrino, S. Pellegrino, C.R. Calladine +1 · 28 citations
    Engineering · Mathematics · #Advanced Materials and Mechanics #Engineering #Geometry #Linear subspace #Materials science #Mathematics #Matrix (chemical analysis) #Statically indeterminate #Stiffness #Stiffness matrix #Structural Analysis and Optimization #Structural Engineering and Vibration Analysis #Structural engineering #Tangent stiffness matrix
29. A Solution to the Invariant Subspace Problem on the Space l 1
    1985/07/01 by C. J. Read · 1 citation
    Mathematics · Computer Science · #Holomorphic and Operator Theory #Differential Equations and Boundary Problems #Matrix Theory and Algorithms #Mathematics #Invariant subspace #Subspace topology #Invariant subspace problem #Invariant (physics) #Reflexive operator algebra #Linear subspace #Operator (biology) #Pure mathematics #Discrete mathematics #Mathematical analysis #Algebra over a field #Mathematical physics #Operator space #Compact operator #Banach space #Finite-rank operator #Computer science
30. A Solution to the Invariant Subspace Problem
    1984/07/01 by C. J. Read · 4 citations
    Mathematics · #Advanced Banach Space Theory #Nonlinear Differential Equations Analysis #Advanced Topics in Algebra #Mathematics #Invariant subspace #Invariant subspace problem #Subspace topology #Invariant (physics) #Pure mathematics #Applied mathematics #Algebra over a field #Mathematical analysis #Linear subspace #Mathematical physics #Banach space

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