1. Compressibility Measures for Affinely Singular Random Vectors
   2022/05/20 by Mohammad-Amin Charusaie, Arash Amini, Stefano Rini · 1 citation
   Engineering · Mathematics · #Sparse and Compressive Sensing Techniques #Mathematical Analysis and Transform Methods #Wireless Communication Security Techniques #Differential entropy #Mathematics #Random variable #Entropy (arrow of time) #Probability distribution #Lipschitz continuity #Discrete mathematics #Applied mathematics #Combinatorics #Pure mathematics #Principle of maximum entropy #Binary entropy function #Statistics #Physics
2. Anderson–Bernoulli Localization at Large Disorder on the 2D Lattice
   2022/03/18 by Linjun Li · 3 citations
   Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Anderson impurity model #Anderson localization #Bernoulli distribution #Bernoulli's principle #Boundary value problem #Combinatorics #Dirichlet distribution #Eigenvalues and eigenvectors #Laplace operator #Lattice (music) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Random variable #Spectral Theory in Mathematical Physics
3. Agreement Implies Accuracy for Substitutable Signals
   2021/11/05 by Rafael Frongillo, Frongillo, Rafael, Eric Neyman +3 · 2 citations
   Decision Sciences · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · Psychology · #Agreement #Algorithm #Artificial intelligence #Bayesian probability #Class (philosophy) #Complex Systems and Time Series Analysis #Computer Science and Game Theory (cs.GT) #Computer science #Discrete mathematics #Divergence (linguistics) #FOS: Computer and information sciences #Game Theory and Applications #Mathematics #Meaning (existential) #Psychology #Random variable #Statistical Mechanics and Entropy #Statistics
4. Spectral representations of characteristic functions of discrete probability laws
   2021/01/15 by I. A. Alexeev, Alexeev, I. A., A. A. Khartov +1 · 5 citations
   Economics, Econometrics and Finance · Mathematics · #60E05 #60E07 #60E10 #Class (philosophy) #Compact space #Computer science #FOS: Mathematics #Lattice (music) #Law #Law of large numbers #Limit (mathematics) #Limit of a function #Mathematical analysis #Mathematics #Physics #Probability (math.PR) #Probability distribution #Probability measure #Pure mathematics #Random variable #Real line #Stochastic processes and financial applications
5. Learning Energy-Based Models by Diffusion Recovery Likelihood
   2020/12/15 by Ruiqi Gao, Gao, Ruiqi, Yang Song +7 · 8 citations
   Computer Science · Mathematics · Medicine · Physics and Astronomy · #Advanced Neuroimaging Techniques and Applications #Algorithm #Artificial intelligence #Bayesian probability #Computer science #Computer vision #Conditional probability #Conditional probability distribution #FOS: Computer and information sciences #Fidelity #Generative Adversarial Networks and Image Synthesis #Image (mathematics) #Joint probability distribution #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Marginal distribution #Marginal likelihood #Markov chain Monte Carlo #Mathematics #Model Reduction and Neural Networks #Noise (video) #Pattern recognition (psychology) #Probabilistic logic #Random variable #Sampling (signal processing) #Statistical model #Statistics
6. Disentangled Information Bottleneck
   2020/12/14 by Ziqi Pan, Pan, Ziqi, Li Niu +5 · 3 citations
   Computer Science · Mathematics · #Advanced Malware Detection Techniques #Adversarial Robustness in Machine Learning #Adversarial system #Algorithm #Anomaly Detection Techniques and Applications #Applied mathematics #Artificial intelligence #Augmented Lagrangian method #Bottleneck #Compression (physics) #Computer science #Data compression #FOS: Computer and information sciences #Generalization #Information Theory (cs.IT) #Information bottleneck method #Lagrange multiplier #Lagrangian #Machine Learning (cs.LG) #Mathematical optimization #Mathematics #Mutual information #Random variable #Robustness (evolution) #Statistics
7. A Canonical Representation of Block Matrices with Applications to\n Covariance and Correlation Matrices
   2020/12/04 by Ilya Archakov, Archakov, Ilya, Peter Reinhard Hansen +1 · 2 citations
   Mathematics · #Algorithm #Applied mathematics #Block (permutation group theory) #Block matrix #Canonical correlation #Canonical form #Combinatorics #Computational Finance (q-fin.CP) #Covariance #Covariance and correlation #Covariance matrix #Econometrics (econ.EM) #Eigenvalues and eigenvectors #Estimation of covariance matrices #FOS: Computer and information sciences #FOS: Economics and business #Gaussian #Logarithm #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix exponential #Methodology (stat.ME) #Pure mathematics #Random Matrices and Applications #Random variable #Representation (politics) #Statistics
8. Topological Information Data Analysis
   2019/09/06 by Pierre Baudot, Monica Tapia, Daniel Bennequin +1 · 1 citation
   Computer Science · Biochemistry, Genetics and Molecular Biology · Mathematics · #Topological and Geometric Data Analysis #Fractal and DNA sequence analysis #advanced mathematical theories #Simplex #Statistical model #Information theory #Topological data analysis #Binary number #Set (abstract data type) #Statistical hypothesis testing #Random variable #Simple (philosophy)
9. Correlation Coefficients: Appropriate Use and Interpretation
   2018/02/25 by Patrick Schober, Christa Boer, Lothar A. Schwarte · 177 citations
   Computer Science · Mathematics · Psychology · #Bivariate analysis #Computational Drug Discovery Methods #Contingency table #Correlation #Correlation coefficient #Correlation ratio #Distance correlation #Fisher transformation #Linear regression #Mathematics #Mental Health Research Topics #Ordinal data #Outlier #Pearson product-moment correlation coefficient #Polychoric correlation #Random variable #Rank correlation #Spearman's rank correlation coefficient #Statistical Methods in Clinical Trials #Statistics
10. A Pearson’s correlation coefficient based decision tree and its parallel implementation
    2017/12/30 by Yashuang Mu, Xiaodong Liu, Lidong Wang · 21 citations
    Computer Science · Mathematics · #Computer science #Correlation #Correlation coefficient #Correlation ratio #Data Mining Algorithms and Applications #Data mining #Decision tree #Distance correlation #Mathematics #Neural Networks and Applications #Pearson product-moment correlation coefficient #Random variable #Rough Sets and Fuzzy Logic #Statistics
11. Entropic Causality and Greedy Minimum Entropy Coupling
    2017/01/28 by Murat Kocaoglu, Kocaoglu, Murat, Alexandros G. Dimakis +5 · 3 citations
    Computer Science · Mathematics · #Applied mathematics #Artificial Intelligence (cs.AI) #Bayesian Modeling and Causal Inference #Combinatorics #Entropy (arrow of time) #FOS: Computer and information sciences #Greedy algorithm #Information Theory (cs.IT) #Joint entropy #Joint probability distribution #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Mathematical optimization #Mathematics #Maximum entropy probability distribution #Polytope #Principle of maximum entropy #Random variable #Statistical Methods and Inference #Statistics #cs.AI #cs.IT #math.IT #stat.ML
12. Weighted recalibration of the Rosetta pedotransfer model with improved estimates of hydraulic parameter distributions and summary statistics (Rosetta3)
    2017/01/17 by Yonggen Zhang, Marcel G. Schaap · 16 citations
    Engineering · Environmental Science · Mathematics · #Calibration #Computer science #Environmental science #Groundwater flow and contamination studies #Hydraulic conductivity #Mathematics #Mean squared error #Monte Carlo method #Pedotransfer function #Random variable #Random variate #Sampling (signal processing) #Soil Moisture and Remote Sensing #Soil and Unsaturated Flow #Soil science #Soil water #Statistics
13. Faster Space-Efficient Algorithms for Subset Sum, k-Sum and Related Problems
    2016/12/08 by Nikhil Bansal, Bansal, Nikhil, Shashwat Garg +5 · 1 voice · 2 citations
    Computer Science · Engineering · Mathematics · #Algorithm #Algorithms and Data Compression #Binary logarithm #Bounded function #Combinatorics #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Computer science #Discrete mathematics #Expected value #Knapsack problem #Mathematics #Modulo #Optimization and Packing Problems #Polynomial #Random access #Random variable #Space (punctuation) #Statistics #Time complexity #Value (mathematics) #cs.CC #cs.CR #cs.DS
14. Windblown sand saltation: A statistical approach to fluid threshold shear velocity
    2016/10/15 by Lorenzo Raffaele, Luca Bruno, Franco Pellerey +1 · 1 citation
    Agricultural and Biological Sciences · Earth and Planetary Sciences · Engineering · Mathematics · #Aeolian processes and effects #Bayesian probability #Empirical probability #Geology #Geotechnical engineering #Mathematics #Mechanics #Physics #Probabilistic logic #Probability distribution #Random variable #Shear (geology) #Shear velocity #Soil erosion and sediment transport #Statistical model #Statistical physics #Statistics #Tree Root and Stability Studies #Turbulence
15. Law of Large Numbers for Uncertain Random Variables
    2015/08/13 by Kai Yao, Jinwu Gao · 1 citation
    Mathematics · Decision Sciences · #Fuzzy Systems and Optimization #Multi-Criteria Decision Making #Probability and Risk Models #Random variable #Convergence of random variables #Mathematics #Sum of normally distributed random variables #Algebra of random variables #Law of large numbers #Convergence (economics) #Sequence (biology) #Probability distribution #Multivariate random variable #Expected value #Exchangeable random variables #Variable (mathematics) #Stochastic process #Statistics #Mathematical analysis
16. Application of Mutual Information Methods in Time–Distance Helioseismology
    2015/01/31 by Dustin Keys, Shukur Kholikov, Alexei Pevtsov +1 · 1 citation
    Physics and Astronomy · #Diagram #Differential (mechanical device) #Helioseismology #Independence (probability theory) #Mutual information #Pointwise mutual information #Random variable #Series (stratigraphy) #Solar and Space Plasma Dynamics #Statistical Mechanics and Entropy #Stellar, planetary, and galactic studies #astro-ph.SR
17. Estimating Functions of Distributions Defined over Spaces of Unknown Size
    2013/10/31 by David H. Wolpert, Simon DeDeo · 1 citation
    Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Bayesian Methods and Mixture Models #Bayesian probability #Computer science #Dirichlet distribution #Entropy (arrow of time) #Estimator #Event (particle physics) #Gaussian Processes and Bayesian Inference #Kullback–Leibler divergence #Mathematical analysis #Mathematics #Mutual information #Nuisance parameter #Posterior probability #Prior information #Prior probability #Random variable #Space (punctuation) #Statistical Methods and Inference #Statistics #math.ST #physics.data-an #q-bio.QM #stat.TH
18. A Tricentenary history of the Law of Large Numbers
    2013/08/27 by Eugene Seneta, E. Seneta · 1 citation
    Economics, Econometrics and Finance · Mathematics · #Applied mathematics #Bernoulli's principle #Calculus (dental) #Central limit theorem #Chebyshev filter #Financial Risk and Volatility Modeling #Law #Law of large numbers #Mathematical analysis #Mathematical economics #Mathematics #Probability and Statistical Research #Random variable #Statistics #math.HO #math.ST #stat.TH
19. Convergence of densities of some functionals of Gaussian processes
    2013/02/27 by Yaozhong Hu, Hu, Yaozhong, Fei Lu +3 · 5 citations
    Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Applied mathematics #Convergence (economics) #Convergence of random variables #Degenerate energy levels #Estimator #FOS: Mathematics #Financial Risk and Volatility Modeling #Gaussian #Gaussian process #Malliavin calculus #Mathematical analysis #Mathematics #Physics #Probability (math.PR) #Probability and Risk Models #Proofs of convergence of random variables #Random variable #Statistics #Stochastic processes and statistical mechanics #Sum of normally distributed random variables #Wiener process #math.PR
20. Relevant sampling of band-limited functions
    2013/01/01 by Richard F. Bass, Karlheinz Gröchenig · 1 citation
    Mathematics · #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Numerical methods in inverse problems #Bandlimiting #Mathematics #Sampling (signal processing) #Bandwidth (computing) #Statistics #Sampling design #Function (biology) #Random variable #Stratified sampling #Applied mathematics #Statistical physics #Computer science #Algorithm #Mathematical analysis #Physics #Telecommunications #Fourier transform
21. On the efficient calculation of a linear combination of chi-square random variables with an application in counting string vacua
    2012/08/31 by Johannes Bausch · 1 citation
    Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Exponential function #Exponential growth #Expression (computer science) #Independent and identically distributed random variables #Logarithm #Quantum Chromodynamics and Particle Interactions #Random Matrices and Applications #Random variable #Scalar (mathematics) #Square (algebra) #Theoretical and Computational Physics #hep-th #math.PR #msc:15A18 #msc:60G50 #msc:81T30 #msc:83E30 #msc:83E50
22. Estimation in Gaussian Noise: Properties of the Minimum Mean-Square Error
    2011/03/15 by Dongning Guo, Yihong Wu, Shlomo S. Shitz +2 · 34 citations
    Computer Science · Engineering · Mathematics · #Algorithm #Applied mathematics #Chaos-based Image/Signal Encryption #Distributed Sensor Networks and Detection Algorithms #Estimator #Gaussian #Gaussian function #Gaussian noise #Gaussian random field #Mathematics #Mean squared error #Minimum mean square error #Physics #Probability density function #Random variable #Statistics #Wireless Communication Security Techniques
23. Random homogenization analysis in linear elasticity based on analytical bounds and estimates
    2010/10/11 by Juan Ma, Ilker Temizer, İ. Temizer +1 · 2 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Composite Material Mechanics #Elasticity (physics) #Finite element method #Homogenization (climate) #Linear elasticity #Mathematics #Monte Carlo method #Numerical methods in engineering #Physics #Random field #Random variable #Randomness #Statistical physics #Statistics #Thermodynamics
24. Variable selection using random forests
    2010/03/22 by Robin Genuer, Jean-Michel Poggi, Jean‐Michel Poggi +1 · 5 citations
    Computer Science · Mathematics · #Artificial intelligence #Computer science #Econometrics #Evolutionary Algorithms and Applications #Face and Expression Recognition #Feature selection #Interpretation (philosophy) #Machine learning #Mathematics #Neural Networks and Applications #Random forest #Random variable #Ranking (information retrieval) #Regression #Selection (genetic algorithm) #Statistics #Variable (mathematics)
25. On the Upper Bound for the Absolute Constant in the Berry–Esseen Inequality
    2010/01/01 by V. Yu. Korolev, Irina Shevtsova · 1 citation
    Mathematics · #Random Matrices and Applications #Spectral Theory in Mathematical Physics #Graph theory and applications #Mathematics #Constant (computer programming) #Absolute (philosophy) #Inequality #Independent and identically distributed random variables #Berry #Upper and lower bounds #Random variable #Mathematical analysis #Statistics #Computer science
26. An improvement of the Berry--Esseen inequality with applications to Poisson and mixed Poisson random sums
    2009/12/15 by Victor Korolev, Irina Shevtsova · 1 citation
    Decision Sciences · Mathematics · #Chebyshev's inequality #Compound Poisson distribution #Constant (computer programming) #Independent and identically distributed random variables #Limit (mathematics) #Log sum inequality #Markov's inequality #Mathematical Inequalities and Applications #Moment (physics) #Poisson distribution #Probability and Risk Models #Random Matrices and Applications #Random variable #math.PR #msc:60F05
27. Variable Importance Assessment in Regression: Linear Regression versus Random Forest
    2009/10/28 by Ulrike Grömping · 48 citations
    Computer Science · Mathematics · #Advanced Statistical Methods and Models #Artificial intelligence #Computer science #Econometrics #Linear regression #Machine learning #Mathematics #Neural Networks and Applications #Random forest #Random variable #Regression #Regression analysis #Statistical Methods and Inference #Statistics #Variable (mathematics) #Variables
28. Linear Probing with Constant Independence
    2009/01/01 by Anna Pagh, Rasmus Pagh, Milan Ružić · 3 citations
    Computer Science · Mathematics · #Algorithms and Data Compression #Cryptography and Data Security #Caching and Content Delivery #Hash function #Double hashing #Linear hashing #Dynamic perfect hashing #K-independent hashing #Universal hashing #Computer science #Constant (computer programming) #Logarithm #Independence (probability theory) #Pairwise independence #Pairwise comparison #Theoretical computer science #Perfect hash function #Linear space #Hash table #Function (biology) #Mathematics #Discrete mathematics #Random function #Random variable #Statistics #Artificial intelligence
29. Constructing Inverse Probability Weights for Marginal Structural Models
    2008/07/15 by Stephen R. Cole, S. R. Cole, M. A. Hernan +1 · 122 citations
    Mathematics · Medicine · #Advanced Causal Inference Techniques #Artificial intelligence #Computer science #Confounding #Consistency (knowledge bases) #Contrast (vision) #Econometrics #Estimator #Inverse probability #Inverse probability weighting #Marginal distribution #Marginal structural model #Mathematics #Medicine #Posterior probability #Random variable #Statistical Methods and Bayesian Inference #Statistical Methods and Inference #Statistics #Truncation (statistics) #Weighting
30. Fluctuation relations in simple examples of non-equilibrium steady states
    2008/06/11 by Raphael Chetrite, Raphaël Chetrite, Gregory Falkovich +1 · 2 citations
    Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Frame (networking) #Langevin dynamics #Probability distribution #Random variable #Relation (database) #Simple (philosophy) #Statistical Mechanics and Entropy #Steady state (chemistry) #cond-mat.stat-mech #stochastic dynamics and bifurcation

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