Information Geometry in Portfolio Theory
From MaRDI portal
Publication:4967757
DOI10.1007/978-3-030-02520-5_6zbMath1417.91486OpenAlexW2901000523MaRDI QIDQ4967757
Publication date: 10 July 2019
Published in: Geometric Structures of Information (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-02520-5_6
Related Items
Random concave functions ⋮ When optimal transport meets information geometry ⋮ Pseudo-Riemannian geometry encodes information geometry in optimal transport ⋮ Functional Portfolio Optimization in Stochastic Portfolio Theory ⋮ The Kähler geometry of certain optimal transport problems ⋮ Conformal mirror descent with logarithmic divergences ⋮ Multiplicative Schrödinger problem and the Dirichlet transport ⋮ Projections with logarithmic divergences
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Deformed exponentials and applications to finance
- The geometry of relative arbitrage
- A second-order stock market model
- Hybrid Atlas models
- Analysis of market weights under volatility-stabilized market models
- Relative arbitrage in volatility-stabilized markets
- A forecasting model for stock market diversity
- Short-term relative arbitrage in volatility-stabilized markets
- Equilibrium fluctuation of the Atlas model
- Optimization of relative arbitrage
- Diversity-weighted portfolios with negative parameter
- Information geometry and its applications
- On optimal arbitrage
- Second order efficiency of minimum contrast estimators in a curved exponential family
- Geometry of minimum contrast
- Logarithmic divergences from optimal transport and Rényi geometry
- Embedding optimal transports in statistical manifolds
- Exponentially concave functions and a new information geometry
- Volatility and arbitrage
- Diversity and relative arbitrage in equity markets
- Convergence rates for rank-based models with applications to portfolio theory
- Dynamics of observables in rank-based models and performance of functionally generated portfolios
- Capital distribution and portfolio performance in the mean-field Atlas model
- Trading strategies generated by Lyapunov functions
- Atlas models of equity markets
- Interest rates and information geometry
- Stochastic Portfolio Theory: an Overview
- Generalised Lyapunov Functions and Functionally Generated Trading Strategies
- Mining Matrix Data with Bregman Matrix Divergences for Portfolio Selection
- Schwarzian derivative criteria for valence of analytic and harmonic mappings