- de Sitter Black Holes as Constrained States in the Euclidean Path Integral
2022/03/04 by Patrick Draper, Szilard Farkas, Szilárd Farkas · 4 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #De Sitter universe #Euclidean geometry #Geometry #Gravitation #Mathematical physics #Mathematics #Non-Euclidean geometry #Noncommutative and Quantum Gravity Theories #Path integral formulation #Physics #Quantum mechanics #Saddle #Saddle point #Schwarzschild radius #de Sitter–Schwarzschild metric
- Eigenvalue Bounds for Double Saddle-Point Systems
2021/10/26 by Susanne Bradley, Chen Greif, Bradley, Susanne +1 · 2 citations
Computer Science · Decision Sciences · Mathematics · Physics and Astronomy · #Algebraic number #Block (permutation group theory) #Bounded function #Combinatorics #Diagonal #Eigenvalues and eigenvectors #Electromagnetic Scattering and Analysis #FOS: Mathematics #Geometry #Mathematical analysis #Mathematical optimization #Mathematics #Matrix Theory and Algorithms #Multiplicity (mathematics) #Numerical Analysis (math.NA) #Physics #Probabilistic and Robust Engineering Design #Pure mathematics #Saddle #Saddle point
- Sampling Strategies for Data-Driven Inference of Input-Output System Properties
2019/10/31 by Anne Koch, Jan Maximilian Montenbruck, Frank Allgower +1 · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Control Systems Optimization #Applied mathematics #Computer science #Conic section #Control (management) #Control Systems and Identification #Control theory (sociology) #Controller (irrigation) #Convergence (economics) #Detector #Discrete time and continuous time #Dynamical systems theory #Input/output #LTI system theory #Linear system #Mathematical analysis #Mathematical optimization #Mathematics #Model Reduction and Neural Networks #Passivity #Saddle #Sampling (signal processing) #cs.SY #eess.SY
- On Nonconvex Optimization for Machine Learning: Gradients, Stochasticity, and Saddle Points
2019/02/13 by Chi Jin, Praneeth Netrapalli, Jin, Chi +7 · 2 citations
Computer Science · Engineering · Mathematics · #Applied mathematics #Artificial intelligence #Artificial neural network #Combinatorics #Computer science #Descent (aeronautics) #Dimension (graph theory) #FOS: Computer and information sciences #FOS: Mathematics #Geometry #Gradient descent #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematical optimization #Mathematics #Optimization and Control (math.OC) #Order (exchange) #Physics #Polynomial #Regular polygon #Saddle #Saddle point #Sparse and Compressive Sensing Techniques #Stationary point #Stochastic Gradient Optimization Techniques #Stochastic gradient descent #cs.LG #math.OC #stat.ML
- Periodic expansiveness of smooth surface diffeomorphisms and applications
2017/05/24 by David Burguet, Burguet, David · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic number #Chaotic #Combinatorics #Computer science #Dynamical Systems (math.DS) #Entropy (arrow of time) #FOS: Mathematics #Geometry #Interval (graph theory) #Lyapunov exponent #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Periodic orbits #Physics #Pure mathematics #Quantum chaos and dynamical systems #Saddle #Saddle point #Surface (topology) #Topological entropy #Zero (linguistics) #math.DS
- Stochastic Variance Reduction Methods for Policy Evaluation
2017/02/25 by Simon S. Du, Du, Simon S., Jianshu Chen +7 · 6 citations
Computer Science · Mathematics · #Artificial Intelligence (cs.AI) #Artificial intelligence #Bellman equation #Benchmark (surveying) #Computer science #Convergence (economics) #Convexity #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Function (biology) #Key (lock) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and ELM #Mathematical optimization #Mathematics #Optimization and Control (math.OC) #Quadratic equation #Rate of convergence #Reduction (mathematics) #Reinforcement Learning in Robotics #Reinforcement learning #Saddle #Saddle point #Statistics #Stochastic Gradient Optimization Techniques #Systems and Control (eess.SY) #Variance reduction #electronic engineering #information engineering
- Deep Learning without Poor Local Minima
2016/05/23 by Kenji Kawaguchi, Kawaguchi, Kenji · 1 voice · 31 citations
Computer Science · Engineering · Mathematics · #Applied mathematics #Artificial intelligence #Artificial neural network #Computer science #Conjecture #Convex analysis #Convex optimization #Convexity #Deep learning #Deep neural networks #Function (biology) #Geometry #Hessian matrix #Machine Learning and Algorithms #Mathematical analysis #Mathematical optimization #Mathematics #Maxima and minima #Pseudoconvex function #Pure mathematics #Regular polygon #Saddle #Saddle point #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #cs.LG #math.OC #stat.ML
- Landscape and flux theory of non-equilibrium dynamical systems with application to biology
2015/01/02 by Jin Wang · 44 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Computer science #Curl (programming language) #Differential equation #Dissipation #Energy landscape #Entropy production #Equilibrium point #Mathematics #Physics #Protein Structure and Dynamics #Quantum mechanics #Saddle #Spectroscopy and Quantum Chemical Studies #Statistical physics #Thermodynamic equilibrium #Thermodynamics
- Exotic magnetic orderings in the kagome Kondo-lattice model
2014/07/21 by Kipton Barros, Jörn W. F. Venderbos, Gia-Wei Chern +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Electron #Fermi Gamma-ray Space Telescope #Fermi surface #Geometry #Gravitational singularity #Kondo effect #Kondo insulator #Lattice (music) #Lattice model (finance) #Mathematics #Physics #Quantum many-body systems #Quantum mechanics #Saddle #Saddle point #Superconductivity #Topological Materials and Phenomena #cond-mat.str-el
- Stability of primal–dual gradient dynamics and applications to network optimization
2010/09/02 by Diego Feijer, Fernando Paganini · 34 citations
Computer Science · Mathematics · #Computer science #Convex function #Distributed Control Multi-Agent Systems #Dual (grammatical number) #Invariance principle #Lyapunov function #Mathematical optimization #Mathematical proof #Mathematics #Mobile Ad Hoc Networks #Network Traffic and Congestion Control #Optimization problem #Regular polygon #Saddle #Saddle point #Stability (learning theory)
- A dimer method for finding saddle points on high dimensional potential surfaces using only first derivatives
1999/10/15 by Graeme Henkelman, Hannes Jónsson · 83 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Ab initio #Advanced Chemical Physics Studies #Atom (system on chip) #Chemistry #Computational chemistry #Computer science #Density functional theory #Geometry #Mathematical optimization #Mathematics #Molecular Junctions and Nanostructures #Physics #Potential energy #Potential energy surface #Quantum mechanics #Saddle #Saddle point #Statistical physics #Surface and Thin Film Phenomena #Transition state #Transition state theory
- Spacetime Foam and the Cosmological Constant
1997/08/31 by Steven Carlip · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Divergence (linguistics) #Lambda #Mathematical physics #Mathematics #Network topology #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Path integral formulation #Physics #Quantum #Quantum gravity #Quantum mechanics #Saddle #Saddle point #Spacetime #Theoretical physics #gr-qc #hep-th
- The Riemann Zeta Function and the Inverted Harmonic Oscillator
1997/02/01 by R. K. Bhaduri, R.K. Bhaduri, Avinash Khare +4 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Geometry #Harmonic oscillator #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Mechanics and Applications #Quantum mechanics #Riemann hypothesis #Riemann zeta function #Saddle #Saddle point #Sign (mathematics) #Simple (philosophy) #Smoothing #TRACE (psycholinguistics)
- Time Dependent Saddle Node Bifurcation: Breaking Time and the Point of No Return in a Non-Autonomous Model of Critical Transitions
1996/01/01 by Jeremiah H. Li, Jeremiah Li, Felix X. -F. Ye +4 · 1 citation
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Environmental Science · Mathematics · Physics and Astronomy · Social Sciences · #Aesthetics #Bifurcation #Bifurcation theory #Classical mechanics #Dimensionless quantity #Dynamical systems theory #Earth Systems and Cosmic Evolution #Ecosystem dynamics and resilience #Environmental ethics #Epistemology #Geometry #Infinite-period bifurcation #Law and economics #Mathematical optimization #Mathematics #Mechanics #Node (physics) #Nonlinear system #Philosophy #Physics #Political Philosophy and Ethics #Political science #Quantum mechanics #Saddle #Saddle point #Saddle-node bifurcation #Sociology #Statistical physics #math.DS #q-bio.QM #stochastic dynamics and bifurcation
- Saddle Nose Deformity: Autogenous Graft Repair
1989/01/01 by M. Eugene Tardy, Michael Schwartz, George Parras · 1 citation
Medicine · Neuroscience · #Nasal Surgery and Airway Studies #Olfactory and Sensory Function Studies #Reconstructive Facial Surgery Techniques #Medicine #Nose #Surgery #Deformity #Saddle
- String theory beyond the Planck scale
1988/07/01 by David J. Gross, Paul F. Mende · 25 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Perturbation theory (quantum mechanics) #Physics #Quantum electrodynamics #Quantum mechanics #Riemann surface #Saddle #Saddle point #Scattering amplitude #String field theory #String theory #Theoretical physics