61. Minimizers of the Empirical Risk and Risk Monotonicity
    2019/07/11 by Marco Loog, Loog, Marco, Tom J. Viering +4 · 3 citations
    Computer Science · Mathematics · #Artificial intelligence #Computer science #Econometrics #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Generalization #Learning curve #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Machine Learning and Data Classification #Machine learning #Mathematical analysis #Mathematics #Monotonic function #Regression #Sample (material) #Set (abstract data type) #Statistics #Training set #Underpinning #cs.LG #stat.ML
62. Settling the sample complexity of single-parameter revenue maximization
    2019/04/10 by Chenghao Guo, Zhiyi Huang, Xinzhi Zhang · 1 citation
    Computer Science · Decision Sciences · #Auction Theory and Applications #Imbalanced Data Classification Techniques #Matching (statistics) #Maximization #Monotonic function #Optimization and Search Problems #Revenue #Sample (material) #Sample complexity #Upper and lower bounds #Value (mathematics) #cs.GT
63. Generalized monotone operators and their averaged resolvents
    2019/02/26 by Heinz H. Bauschke, Bauschke, Heinz H., Walaa M. Moursi +3 · 9 citations
    Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Applied mathematics #Class (philosophy) #Computer science #Convergence (economics) #Fixed Point Theorems Analysis #Fixed point #Mathematical analysis #Mathematics #Monotone polygon #Monotonic function #Operator (biology) #Optimization and Variational Analysis #Pure mathematics #Resolvent #Scaling #Set (abstract data type) #math.OC #msc:47H05 #msc:47H09 #msc:49N15 #msc:90C25
64. Error estimates of penalty schemes for quasi-variational inequalities arising from impulse control problems
    2019/01/23 by Christoph Reisinger, Reisinger, Christoph, Yufei Zhang +1 · 1 citation
    Computer Science · Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Applied mathematics #Convergence (economics) #FOS: Mathematics #Impulse (physics) #Lipschitz continuity #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematical optimization #Mathematics #Monotone polygon #Monotonic function #Numerical Analysis (math.NA) #Optimal control #Optimization and Control (math.OC) #Penalty method #Risk and Portfolio Optimization #Stochastic processes and financial applications #Variational inequality #cs.NA #math.NA #math.OC
65. Keeping CALM: When Distributed Consistency is Easy
    2019/01/07 by Joseph M. Hellerstein, Hellerstein, Joseph M., Peter Alvaro +1 · 6 voices · 1 citation
    Computer Science · Mathematics · #Acronym #Artificial intelligence #Computer science #Computer security #Consistency (knowledge bases) #Constructive #Distributed and Parallel Computing Systems #Distributed computing #Distributed systems and fault tolerance #Implementation #Key (lock) #Mathematics #Monotonic function #Parallel Computing and Optimization Techniques #Programming language #Semantics (computer science) #Theoretical computer science #cs.DB #cs.DC #cs.PL #cs.SE
66. Exact Shannon entropies for the multidimensional harmonic states
    2018/10/20 by I. V. Toranzo, J. S. Dehesa · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Curse of dimensionality #Entropic uncertainty #Harmonic #Harmonic oscillator #Mathematical analysis #Mathematics #Monotonic function #Physics #Population #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Statistical physics #Statistics #Uncertainty principle #quant-ph #stochastic dynamics and bifurcation
67. A penalty scheme for monotone systems with interconnected obstacles: convergence and error estimates
    2018/08/14 by Christoph Reisinger, Reisinger, Christoph, Yufei Zhang +1 · 1 citation
    Computer Science · Mathematics · #34A38 #65K15 #65M12 #Applied mathematics #Class (philosophy) #Computer science #Contact Mechanics and Variational Inequalities #Convergence (economics) #Economics #FOS: Mathematics #Hamilton–Jacobi–Bellman equation #Mathematical analysis #Mathematical optimization #Mathematics #Monotone polygon #Monotonic function #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Optimal control #Optimization and Control (math.OC) #Optimization and Variational Analysis #Scheme (mathematics) #Variational inequality #Zero (linguistics) #cs.NA #math.NA #math.OC #msc:34A38 #msc:65K15 #msc:65M12
68. The Fractal Dimension of Liouville Quantum Gravity: Universality, Monotonicity, and Bounds
    2018/07/31 by Jian Ding, Ewain Gwynne · 3 citations
    Mathematics · Physics and Astronomy · #Combinatorics #Exponent #Fractal #Limiting #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Physics #Quantum mechanics #Renormalization group #Stochastic processes and statistical mechanics #Subadditivity #Theoretical and Computational Physics #Universality (dynamical systems) #Upper and lower bounds #math-ph #math.MP #math.PR
69. Regularity properties for p−dead core problems and their asymptotic limit as p→∞
    2018/07/22 by João Vítor da Silva, João Vitor da Silva, Julio D. Rossi +2 · 8 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Boundary (topology) #Bounded function #Degeneracy (biology) #Elliptic operator #Exponent #Laplace operator #Limit (mathematics) #Limiting #Mathematical analysis #Mathematics #Monotonic function #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Pure mathematics
70. Anomalous Quantum-Critical Scaling Corrections in Two-Dimensional Antiferromagnets
    2018/04/30 by Nvsen Ma, Phillip Weinberg, Hui Shao +4 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Critical exponent #Exponent #Ferromagnetism #Heisenberg model #Mathematics #Monotonic function #Monte Carlo method #Operator (biology) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Scaling #Statistical physics #Statistics #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat.str-el
71. Committee Scoring Rules: Axiomatic Characterization and Hierarchy
    2018/02/19 by Piotr Faliszewski, Faliszewski, Piotr, Piotr Skowron +5 · 1 citation
    Computer Science · Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Artificial intelligence #Auction Theory and Applications #Axiom #Characterization (materials science) #Class (philosophy) #Complexity and Algorithms in Graphs #Computer Science and Game Theory (cs.GT) #Computer science #Discrete mathematics #Economics #FOS: Computer and information sciences #Game Theory and Voting Systems #Hierarchy #Machine learning #Mathematical economics #Mathematics #Monotonic function #Pairwise comparison #Political science #Representation (politics) #Scoring rule #Separable space #Subclass #Theoretical computer science #Voting #cs.GT
72. Mpemba Index and Anomalous Relaxation
    2017/11/30 by Israel Klich, Oren Raz, Ori Hirschberg +1 · 4 citations
    Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Ferromagnetism #Ising model #Mathematics #Monotonic function #Phase (matter) #Phase diagram #Physics #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Statistical physics #Theoretical and Computational Physics #Thermodynamic limit #Thermodynamics #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech
73. Non-local observables at finite temperature in AdS/CFT
    2017/09/30 by Johanna Erdmenger, Nina Miekley · 1 citation
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #Duality (order theory) #Gauge theory #General relativity #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Observable #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum #Quantum entanglement #Quantum mechanics #Schwarzschild metric #Theoretical physics #cond-mat.str-el #hep-th
74. Coherence number as a discrete quantum resource
    2017/02/28 by Seungbeom Chin · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Coherence (philosophical gambling strategy) #Coherence length #Coherence theory #Concurrence #Discrete mathematics #Generalization #Geometry #Mathematical analysis #Mathematics #Monotone polygon #Monotonic function #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum state #State (computer science) #Statistical physics #Statistics #cs.IT #math.IT #quant-ph
75. Approximation of functions by a new family of generalized Bernstein operators
    2017/01/05 by Xiaoyan Chen, Jieqing Tan, Liu Zhi +2 · 1 citation
    Mathematics · #Applied mathematics #Approximation Theory and Sequence Spaces #Baskakov operator #Bernstein polynomial #Brouwer fixed-point theorem #Convex function #Danskin's theorem #Fixed-point theorem #Fourier integral operator #Generalization #Interpolation (computer graphics) #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Mathematical analysis #Mathematical proof #Mathematics #Microlocal analysis #Modulus of continuity #Monotonic function #Operator (biology) #Operator theory #Pure mathematics #Rate of convergence #Regular polygon #Shift theorem #Type (biology)
76. Convergent Semi-Lagrangian Methods for the Monge--Ampère Equation on Unstructured Grids
    2017/01/01 by Xiaobing Feng, Max Jensen · 11 citations
    Mathematics · #Applied mathematics #Augmented Lagrangian method #Convexity #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Mathematical analysis #Mathematical optimization #Mathematics #Monge–Ampère equation #Monotone polygon #Monotonic function #Nonlinear Partial Differential Equations #Nonlinear system #Numerical analysis #Pointwise #Solver #Type (biology) #Viscosity solution
77. Holographic torus entanglement and its RG flow
    2016/11/30 by Pablo Bueno, William Witczak-Krempa, William Witczak‐Krempa · 6 citations
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Geometry #Holography #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Renormalization group #Scaling #Torus #Uniqueness #cond-mat.str-el #hep-th
78. Stable self-similar blowup in the supercritical heat flow of harmonic\n maps
    2016/10/29 by Paweł Biernat, Roland Donninger, Biernat, Paweł +3 · 1 citation
    Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Applied mathematics #Computer science #Constructive #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry #Harmonic #Harmonic map #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Monotonic function #Nonlinear system #Physics #Stability (learning theory) #Stability and Controllability of Differential Equations #Supercritical fluid #Thermodynamics #math-ph #math.AP #math.DG #math.MP
79. Explicit filtering for large eddy simulation as use of a spectral buffer
    2016/10/06 by Joseph Mathew, Mathew, Joseph · 1 citation
    Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Computer science #FOS: Physical sciences #Filter (signal processing) #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Geometry #Grid #Large eddy simulation #Lattice Boltzmann Simulation Studies #Materials science #Mathematical analysis #Mathematics #Mechanics #Meteorological Phenomena and Simulations #Monotonic function #Optics #Physics #Range (aeronautics) #Scale (ratio) #Statistical physics #Turbulence #Wavenumber #physics.flu-dyn
80. Data processing for the sandwiched Rényi divergence: a condition for equality
    2016/04/30 by Felix Leditzky, Cambyse Rouzé, Nilanjana Datta · 1 citation
    Computer Science · Engineering · Mathematics · Physics and Astronomy · #Algebraic number #Divergence (linguistics) #Monotonic function #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Range (aeronautics) #Representation (politics) #TRACE (psycholinguistics) #Upper and lower bounds #Wireless Communication Security Techniques #math-ph #math.MP #quant-ph
81. Entanglement and Majorana edge states in the Kitaev model
    2016/01/31 by Saptarshi Mandal, Moitri Maiti, Vipin Kerala Varma · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Fermion #Gapless playback #Ising model #MAJORANA #Mathematics #Monotonic function #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Square lattice #cond-mat.str-el #hep-th #quant-ph
82. SMART: The Stochastic Monotone Aggregated Root-Finding Algorithm
    2016/01/04 by Damek Davis, Davis, Damek · 3 citations
    Computer Science · Engineering · Mathematics · #Algorithm #Class (philosophy) #Complexity and Algorithms in Graphs #Computer science #Convergence (economics) #Mathematical optimization #Mathematics #Monotone polygon #Monotonic function #Operator (biology) #Randomized algorithm #Separable space #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Synchronization (alternating current) #Topology (electrical circuits) #math.OC
83. Generalized second law for cosmology
    2015/10/07 by Raphael Bousso, Netta Engelhardt · 1 citation
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conjecture #Cosmology #Cosmology and Gravitation Theories #Entropy (arrow of time) #Event (particle physics) #Event horizon #First law #Galaxies: Formation, Evolution, Phenomena #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum mechanics #Theoretical physics #gr-qc #hep-th
84. Two monotonicity results for nabla and delta fractional differences
    2015/05/15 by Baoguo Jia, Lynn Erbe, Allan Peterson · 3 citations
    Mathematics · #Combinatorics #Fractional Differential Equations Solutions #Mathematical Inequalities and Applications #Mathematical analysis #Mathematics #Monotonic function #Nabla symbol #Nonlinear Differential Equations Analysis #Omega #Order (exchange) #Physics #Quantum mechanics
85. Bounding surface modeling of sand with consideration of fabric and its evolution during monotonic shearing
    2015/03/12 by Sang Inn Woo, Rodrigo Salgado · 2 citations
    Engineering · Mathematics · #Bounding overwatch #Composite material #Computer science #Dilatant #Direct shear test #Engineering #Geology #Geometry #Geotechnical Engineering and Soil Mechanics #Geotechnical Engineering and Soil Stabilization #Geotechnical Engineering and Underground Structures #Geotechnical engineering #Materials science #Mathematical analysis #Mathematics #Mechanics #Monotonic function #Physics #Plasticity #Shear (geology) #Shearing (physics) #Stiffness #Structural engineering #Surface (topology)
86. An epiperimetric inequality approach to the regularity of the free\n boundary in the Signorini problem with variable coefficients
    2015/01/26 by Nicola Garofalo, Garofalo, Nicola, Arshak Petrosyan +3 · 1 citation
    Computer Science · Mathematics · #35R35 #Analysis of PDEs (math.AP) #Applied mathematics #Boundary (topology) #Computer science #Contact Mechanics and Variational Inequalities #Continuation #Differential Equations and Boundary Problems #FOS: Mathematics #Inequality #Lipschitz continuity #Mathematical analysis #Mathematical economics #Mathematics #Monotonic function #Nonlinear Partial Differential Equations #Variable (mathematics) #Variational inequality #Work (physics) #math.AP #msc:35R35
87. Properties of the GM(1,1) with fractional order accumulation
    2014/12/29 by Lifeng Wu, Sifeng Liu, Zhigeng Fang +1 · 1 citation
    Chemistry · Decision Sciences · Engineering · Mathematics · #Applied mathematics #Chemistry #Combinatorics #Convexity #Economics #Energy Load and Power Forecasting #Fractional calculus #Geometry #Grey System Theory Applications #Initial value problem #Mathematical analysis #Mathematical economics #Mathematical optimization #Mathematics #Monotonic function #Order (exchange) #Regular polygon #Sequence (biology) #Statistics #Value (mathematics)
88. Stability, Uniqueness and Recurrence of Generalized Traveling Waves in Time Heterogeneous Media of Ignition Type
    2014/08/17 by Wenxian Shen, Shen, Wenxian, Zhongwei Shen +1 · 1 citation
    Mathematics · Medicine · #Analysis of PDEs (math.AP) #Computer science #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #Exponential stability #FOS: Mathematics #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Monotonic function #Nonlinear Differential Equations Analysis #Nonlinear system #Physics #Quantum mechanics #Space (punctuation) #Stability (learning theory) #Traveling wave #Type (biology) #Uniqueness #math.AP #math.DS
89. A new class of relativistic charged anisotropic super dense star models
    2014/07/08 by S. K. Maurya, Y. K. Gupta, Yashwant Gupta · 4 citations
    Physics and Astronomy · #Anisotropy #Astrophysics #Charge density #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Mathematical analysis #Monotonic function #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Solar and Space Plasma Dynamics #Star (game theory)
90. Topological entropy and renormalization group flow in 3-dimensional spherical spaces
    2014/06/30 by M. Asorey, C. G. Beneventano, I. Cavero-Peláez +3 · 1 citation
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Entropy (arrow of time) #Fixed point #Holonomy #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematical Dynamics and Fractals #Monotonic function #Renormalization group #cond-mat.stat-mech #hep-th #quant-ph

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