Biproportional scaling of matrices and the iterative proportional fitting procedure
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Publication:744690
DOI10.1007/s10479-013-1468-3zbMath1302.65114OpenAlexW2041797593MaRDI QIDQ744690
Publication date: 26 September 2014
Published in: Annals of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10479-013-1468-3
Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (10)
Biwhitening Reveals the Rank of a Count Matrix ⋮ Continuity of f-projections and applications to the iterative proportional fitting procedure ⋮ Accumulation points of the iterative proportional fitting procedure ⋮ Network models and biproportional rounding for fair seat allocations in the UK elections ⋮ A multi-objective interpretation of optimal transport ⋮ Iterated Proportional Fitting Procedure and Infinite Products of Stochastic Matrices ⋮ BOUNDING WRONG‐WAY RISK IN CVA CALCULATION ⋮ Termination of the iterative proportional fitting procedure ⋮ Biproportional scaling of matrices and the iterative proportional fitting procedure ⋮ Iterative Proportional Scaling Revisited: A Modern Optimization Perspective
Uses Software
Cites Work
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- Order independence and factor convergence in iterative scaling
- Note on the Schrödinger equation and \(I\)-projections
- Biproportional scaling of matrices and the iterative proportional fitting procedure
- A theorem on flows in networks
- Matrix scaling, entropy minimization, and conjugate duality. II: The dual problem
- Scalings of matrices which have prespecified row sums and column sums via optimization
- I-divergence geometry of probability distributions and minimization problems
- On the existence of sequences and matrices with prescribed partial sums of elements
- Algorithms for proportional matrices in reals and integers
- Convergence of the iterative proportional fitting procedure
- A bi-proportional method applied to the spanish congress
- Accumulation points of the iterative proportional fitting procedure
- On the complexity of general matrix scaling and entropy minimization via the RAS algorithm
- Vector and matrix apportionment problems and separable convex integer optimization
- Mathematics and democracy. Recent advances in voting systems and collective choice. Including papers from the International Workshop on Mathematics and Democracy: Voting Systems and Collective Choice, held in Erice, September 18--23, 2005.
- Concerning nonnegative matrices and doubly stochastic matrices
- Scaling of matrices to achieve specified row and column sums
- The diagonal equivalence of a nonnegative matrix to a stochastic matrix
- Network flow methods for electoral systems
- An Axiomatic Approach to Proportionality Between Matrices
- Divisor-Based Biproportional Apportionment in Electoral Systems: A Real-Life Benchmark Study
- Closedness of sum spaces and the generalized Schrödinger problem
- Convergence of the Iterative Scaling Procedure for Non-Negative Matrices
- Diagonal Equivalence to Matrices with Prescribed Row and Column Sums. II
- A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
- Estimating Nonnegative Matrices from Marginal Data
- A Relationship between Arbitrary Positive Matrices and Stochastic Matrices
- Contingency tables with given marginals
- Probability Densities with Given Marginals
- Diagonal Equivalence to Matrices with Prescribed Row and Column Sums
- An Iterative Procedure for Estimation in Contingency Tables
- An Information-Theoretic Derivation of Certain Limit Relations for a Stationary Markov Chain
- Continuous Dependence of A in the D 1 AD 2 Theorems
- A note on approximations to discrete probability distributions
- Making Tables Additive in the Presence of Zeros
- On a Least Squares Adjustment of a Sampled Frequency Table When the Expected Marginal Totals are Known
- An Iterative Method of Adjusting Sample Frequency Tables When Expected Marginal Totals are Known
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