1. Pre-training under infinite compute
   2025/09/18 by Konwoo Kim, Suhas Kotha, Kim, Konwoo +5 · 7 voices · 6 citations
   Computer Science · #Asymptote #Inference #Machine Learning and Data Classification #Monotonic function #Natural Language Processing Techniques #Scale (ratio) #Scaling #Security token #Simple (philosophy) #Square (algebra) #Topic Modeling
2. Regret Minimization for Piecewise Linear Rewards: Contracts, Auctions, and Beyond
   2025/03/03 by Francesco Bacchiocchi, Matteo Castiglioni, Bacchiocchi, Francesco +5 · 4 citations
   Computer Science · Decision Sciences · #Auction Theory and Applications #Bidding #Function (biology) #Linear programming #Monotonic function #Piecewise #Piecewise linear function #Regret #cs.GT #cs.LG
3. Bayesian Learning in Mean Field Games
   2024/01/31 by Eran Shmaya, Shmaya, Eran, Bruno Ziliotto +1 · 1 citation
   Economics, Econometrics and Finance · Mathematics · #91A16 #91A26 #91A27 #Algorithm #Analysis of PDEs (math.AP) #Applied mathematics #Bayesian game #Economic Policies and Impacts #Economic theories and models #FOS: Mathematics #Field (mathematics) #Function (biology) #Game Theory and Voting Systems #Game theory #Mathematical analysis #Mathematical economics #Mathematics #Mean field theory #Monotonic function #Optimization and Control (math.OC) #Physics #Pure mathematics #Repeated game #State (computer science) #Stochastic game #Uniqueness
4. Optimal risk sharing, equilibria, and welfare with empirically realistic risk attitudes
   2024/01/06 by Jean-Gabriel Lauzier, Jean‐Gabriel Lauzier, Liyuan Lin +6 · 1 citation
   Agricultural and Biological Sciences · Economics, Econometrics and Finance · Mathematics · #Agricultural risk and resilience #Banking stability, regulation, efficiency #Bounded function #Computer science #Convexity #Economic theories and models #Economics #Mathematical economics #Mathematical optimization #Mathematics #Monotonic function #Pareto principle #Scapegoat #Set (abstract data type) #econ.TH #q-fin.RM
5. A convergence analysis of Lawson's iteration for computing polynomial and rational minimax approximations
   2024/01/01 by Lei‐Hong Zhang, Shanheng Han, Zhang, Lei-Hong +1 · 2 citations
   Mathematics · #41A20 #41A50 #65D15 #90C46 #Advanced Optimization Algorithms Research #Applied mathematics #Approximation theory #Combinatorics #Convergence (economics) #Equioscillation theorem #FOS: Mathematics #Gegenbauer polynomials #Iterative Methods for Nonlinear Equations #Iterative method #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical optimization #Mathematics #Minimax #Minimax approximation algorithm #Monotonic function #Numerical Analysis (math.NA) #Orthogonal polynomials #Polynomial #Power iteration #Rational function
6. Understanding Diffusion Objectives as the ELBO with Simple Data Augmentation
   2023/03/01 by Diederik P. Kingma, Kingma, Diederik P., Ruiqi Gao +1 · 1 voice · 104 citations
   Chemistry · Computer Science · Mathematics · Medicine · #A-weighting #Advanced Neuroimaging Techniques and Applications #Artificial intelligence #Benchmark (surveying) #Chemistry #Computer science #Diffusion #Domain Adaptation and Few-Shot Learning #Gaussian #MRI in cancer diagnosis #Mathematics #Monotonic function #Noise (video) #Physics #Simple (philosophy) #Upper and lower bounds #Weighting #cs.AI #cs.LG #stat.ML
7. Symbolic Discovery of Optimization Algorithms
   2023/02/13 by Xiangning Chen, Chen, Xiangning, Liang Chen +24 · 3 voices · 108 citations
   Computer Science · Mathematics · #Advanced Neural Network Applications #Algorithm #Artificial intelligence #Artificial neural network #Computer science #Deep neural networks #Generalization #Leverage (statistics) #Machine Learning and Algorithms #Machine Learning and Data Classification #Machine learning #Mathematics #Monotonic function #Simple (philosophy) #cs.AI #cs.CL #cs.CV #cs.LG #cs.NE
8. Undrained shear and stiffness degradation of intact marine clay under monotonic and cyclic loading
   2021/12/15 by Kun Pan, K. Pan, Z.H. Yuan +7 · 2 citations
   Engineering · Mathematics · #Composite material #Compressibility #Engineering #Geology #Geotechnical Engineering and Soil Mechanics #Geotechnical Engineering and Soil Stabilization #Geotechnical Engineering and Underground Structures #Geotechnical engineering #Materials science #Mathematics #Monotonic function #Shear (geology) #Shear modulus #Stiffness #Void ratio
9. Distributed Identification of Contracting and/or Monotone Network Dynamics
   2021/09/24 by Max Revay, Jack Umenberger, Ian R. Manchester · 1 citation
   Engineering · Mathematics · Physics and Astronomy · #Artificial intelligence #Certificate #Computer science #Control Systems and Identification #Identification (biology) #Mathematical optimization #Mathematics #Model Reduction and Neural Networks #Monotone polygon #Monotonic function #Nonlinear system #Regular polygon #Scalability #Separable space #Set (abstract data type) #Stability (learning theory) #Stability and Control of Uncertain Systems #State space #Theoretical computer science #Variety (cybernetics)
10. A generalization of Bellman’s equation with application to path planning, obstacle avoidance and invariant set estimation
    2021/02/20 by Morgan Jones, Matthew M. Peet · 1 citation
    Computer Science · Engineering · Mathematics · #Robotic Path Planning Algorithms #Vehicle Routing Optimization Methods #Transportation and Mobility Innovations #Separable space #Monotonic function #Bellman equation #Mathematics #Mathematical optimization #Invariant (physics) #Dynamic programming #Obstacle avoidance #Generalization #Obstacle #Function (biology) #Set (abstract data type) #Computer science #Mathematical analysis #Artificial intelligence
11. Equilibrium and Socially optimal of a double-sided queueing system with two-mass point matching time
    2021/01/28 by Zhen Wang, Wang, Zhen, Cheryl Yang +5 · 1 citation
    Business, Management and Accounting · Engineering · Mathematics · Social Sciences · #60K25 #91A35 #91B50 #Advanced Queuing Theory Analysis #Computer science #Engineering #Equilibrium point #FOS: Mathematics #Function (biology) #Matching (statistics) #Mathematical optimization #Mathematics #Monotonic function #Observable #Operations research #Physics #Point (geometry) #Probability (math.PR) #Queue #Queueing theory #Social Welfare #Statistics #Taxis #Transport engineering #Transportation Planning and Optimization #Transportation and Mobility Innovations
12. High performance prediction of soil compaction parameters using multi expression programming
    2020/07/15 by Hanlin Wang, Han-Lin Wang, Zhen-Yu Yin +1 · 12 citations
    Engineering · Environmental Science · Mathematics · #Algorithm #Artificial intelligence #Compaction #Computer science #Consistency (knowledge bases) #Correctness #Engineering #Environmental science #Geotechnical engineering #Grouting, Rheology, and Soil Mechanics #Landfill Environmental Impact Studies #Mathematics #Monotonic function #Proctor compaction test #Soil and Unsaturated Flow #Soil compaction #Soil science #Soil water
13. Exotic RG flow of entanglement entropy
    2020/04/06 by Chanyong Park, Jung Hun Lee · 1 citation
    Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dilaton #Entropy (arrow of time) #Holography #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum entanglement #Quantum mechanics #Renormalization #Renormalization group #Statistical physics
14. 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
    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
15. 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
16. 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)
17. 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)
18. Holographic torus entanglement and its RG flow
    2016/11/30 by Pablo Bueno, William Witczak-Krempa, William Witczak‐Krempa · 1 citation
    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
19. Stable self-similar blowup in the supercritical heat flow of harmonic\n maps
    2016/10/29 by Paweł Biernat, Biernat, Paweł, Roland Donninger +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
20. 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
21. 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
22. 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)
23. On Phase-Separation Models: Asymptotics and Qualitative Properties
    2012/11/22 by Henri Berestycki, Tai-Chia Lin, Tai‐Chia Lin +2 · 12 citations
    Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Component (thermodynamics) #Conjecture #Dimension (graph theory) #Geometry #Infinity #Lipschitz continuity #Mathematical analysis #Mathematics #Monotonic function #Nonlinear Partial Differential Equations #Nonlinear system #Physics #Plane (geometry) #Pure mathematics #Solidification and crystal growth phenomena #State (computer science) #Type (biology) #Upper and lower bounds
24. Computability of simple games: A complete investigation of the sixty-four possibilities
    2011/02/12 by Masahiro Kumabe, H. Reiju Mihara · 1 citation
    Computer Science · Mathematics · #Artificial intelligence #Axiom #Benford’s Law and Fraud Detection #Class (philosophy) #Computability #Computability, Logic, AI Algorithms #Computer science #Discrete mathematics #Epistemology #Logic, Reasoning, and Knowledge #Mathematical economics #Mathematics #Monotonic function #Simple (philosophy) #Type (biology) #acm:91A12 #acm:91A13 #cs.GT #cs.LO #math.LO #msc:91A12 #msc:91A13
25. Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients
    2010/10/21 by Norayr Matevosyan, Arshak Petrosyan · 3 citations
    Engineering · Mathematics · #Applied mathematics #Differential Equations and Boundary Problems #Elliptic operator #Mathematical analysis #Mathematics #Monotonic function #Numerical methods in engineering #Numerical methods in inverse problems #Variable (mathematics)
26. Thermal equilibrium of two quantum Brownian particles
    2009/11/25 by D. Valente, D. M. Valente, A. O. Caldeira · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bipartite graph #Brownian motion #Coupling (piping) #Logarithm #Materials science #Mathematical analysis #Mathematics #Monotonic function #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum system #Range (aeronautics) #Statistical physics #Thermal #Thermal equilibrium #Thermodynamics #quant-ph
27. Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
    2009/11/16 by Benedetta Noris, Susanna Terracini, Hugo Tavares +1 · 15 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Applied mathematics #Arithmetic #Binary number #Limiting #Lipschitz continuity #Mathematical analysis #Mathematics #Monotonic function #Nonlinear Photonic Systems #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Spectral Theory in Mathematical Physics
28. Closed patterns meet n -ary relations
    2009/03/01 by Loïc Cerf, Jérémy Besson, Céline Robardet +1 · 1 citation
    Computer Science · Mathematics · #Data Mining Algorithms and Applications #Rough Sets and Fuzzy Logic #Data Management and Algorithms #Arity #Binary relation #Computer science #Relation (database) #Closeness #Closed set #Monotonic function #Theoretical computer science #Mathematics #Piecewise #Algorithm #Data mining #Discrete mathematics
29. Punctuated evolution due to delayed carrying capacity
    2009/01/31 by V. I. Yukalov, E. P. Yukalova, D. Sornette +1 · 1 citation
    Mathematics · Medicine · Physics and Astronomy · Social Sciences · #Advanced Thermodynamics and Statistical Mechanics #Biology #Bistability #Competition (biology) #Demography #Ecology #Evolutionary Game Theory and Cooperation #Exponential growth #Geology #Gravitational singularity #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Mechanics #Monotonic function #Nonlinear system #Physics #Population #Punctuated equilibrium #Quantum mechanics #Statistical physics #nlin.AO #physics.bio-ph #physics.soc-ph
30. Optimal Transport
    2008/10/25 by Cédric Villani · 1 citation
    Mathematics · #Applied mathematics #Computer science #Convexity #Curvature #Displacement (psychology) #Duality (order theory) #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Isoperimetric inequality #Mathematical analysis #Mathematics #Monotonic function #Nonlinear Partial Differential Equations #Pure mathematics #Ricci curvature #Smoothness

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