Immanuel Bomze
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Immanuel Bomzemathematics Degrees
Mathematics
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Measure Theory
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Mathematics
Immanuel Bomze's Degrees
- PhD Mathematics University of Vienna
Why Is Immanuel Bomze Influential?
(Suggest an Edit or Addition)According to Wikipedia, Immanuel Bomze is an Austrian mathematician. In his Ph.D. thesis, he completely classified all possible flows of the generalized Lotka–Volterra dynamics on the plane, employing equivalence of this dynamics to the 3-type replicator equation.
Immanuel Bomze's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Solving Standard Quadratic Optimization Problems via Linear, Semidefinite and Copositive Programming (2002) (254)
- Forty years of the European Journal of Operational Research: A bibliometric overview (2017) (237)
- On Copositive Programming and Standard Quadratic Optimization Problems (2000) (224)
- On Standard Quadratic Optimization Problems (1998) (185)
- Evolution towards the Maximum Clique (1997) (179)
- Copositive optimization - Recent developments and applications (2012) (172)
- Lotka-Volterra equation and replicator dynamics: A two-dimensional classification (1983) (163)
- Approximating the maximum weight clique using replicator dynamics (2000) (114)
- Non-cooperative two-person games in biology: A classification (1986) (114)
- Lotka-Volterra equation and replicator dynamics: new issues in classification (1995) (94)
- Game Theoretical Foundations of Evolutionary Stability (1989) (87)
- Developments in Global Optimization (1997) (84)
- Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization (2012) (83)
- New and old bounds for standard quadratic optimization: dominance, equivalence and incomparability (2008) (78)
- Dynamical aspects of evolutionary stability (1990) (78)
- Cross entropy minimization in uninvadable states of complex populations (1991) (78)
- Does Neutral Stability Imply Lyapunov Stability (1995) (78)
- Graph-based quadratic optimization: A fast evolutionary approach (2011) (74)
- Regularity versus Degeneracy in Dynamics, Games, and Optimization: A Unified Approach to Different Aspects (2002) (68)
- Infection and immunization: A new class of evolutionary game dynamics (2011) (66)
- Annealed replication: a new heuristic for the maximum clique problem (2002) (61)
- Stability by Mutation in Evolutionary Games (1995) (60)
- Evolutionary Approach to the Maximum Clique Problem: Empirical Evidence on a Larger Scale (1997) (54)
- STATIONARY DISTRIBUTIONS UNDER MUTATION- SELECTION BALANCE: STRUCTURE AND PROPERTIES (1996) (53)
- The dynamics of self-evaluation (1994) (50)
- Branch-and-bound approaches to standard quadratic optimization problems (2002) (49)
- New results on the cp-rank and related properties of co(mpletely )positive matrices (2013) (44)
- A dynamical characterization of evolutionarily stable states (1992) (44)
- A New Approach to Exact Crossing Minimization (2008) (44)
- A finite algorithm for solving general quadratic problems (1994) (43)
- On the cp-Rank and Minimal cp Factorizations of a Completely Positive Matrix (2013) (42)
- A Complementary Pivoting Approach to the Maximum Weight Clique Problem (2002) (42)
- Copositivity detection by difference-of-convex decomposition and ω-subdivision (2013) (42)
- A Global Optimization Algorithm for Concave Quadratic Programming Problems (1993) (41)
- New Lower Bounds and Asymptotics for the cp-Rank (2015) (40)
- Narrowing the difficulty gap for the Celis–Dennis–Tapia problem (2015) (40)
- BLOCK PIVOTING AND SHORTCUT STRATEGIES FOR DETECTING COPOSITIVITY (1996) (39)
- A note on Burer’s copositive representation of mixed-binary QPs (2010) (38)
- The role of Mendelian genetics in strategic models on animal behaviour. (1983) (34)
- Copositivity and constrained fractional quadratic problems (2014) (33)
- From seven to eleven: Completely positive matrices with high cp-rank (2014) (32)
- Copositive Relaxation Beats Lagrangian Dual Bounds in Quadratically and Linearly Constrained Quadratic Optimization Problems (2015) (28)
- Copositive Optimization (2009) (27)
- Handbook of Combinatorial Optimization the Maximum Clique Problem (1999) (27)
- Quartic Formulation of Standard Quadratic Optimization Problems (2005) (27)
- Remarks on the recursive structure of copositivity (1987) (27)
- Copositivity cuts for improving SDP bounds on the clique number (2010) (26)
- Quadratic factorization heuristics for copositive programming (2011) (26)
- Global Escape Strategies for Maximizing Quadratic Forms over a Simplex (1997) (25)
- Undominated d.c. Decompositions of Quadratic Functions and Applications to Branch-and-Bound Approaches (2004) (25)
- Detecting all evolutionarily stable strategies (1992) (24)
- Genetic engineering via negative fitness:Evolutionary dynamics for global optimization (1999) (24)
- Linear-Time Copositivity Detection for Tridiagonal Matrices and Extension to Block-Tridiagonality (2000) (23)
- Ellipsoidal Approach to Box-Constrained Quadratic Problems (2004) (23)
- Using copositivity for global optimality criteria in concave quadratic programming problems (1993) (23)
- Multi-Standard Quadratic Optimization: interior point methods and cone programming reformulation (2010) (22)
- A first-order interior-point method for linearly constrained smooth optimization (2011) (22)
- New results for molecular formation under pairwise potential minimization (2007) (22)
- Perron–Frobenius property of copositive matrices, and a block copositivity criterion (2008) (21)
- Copositivity for second-order optimality conditions in general smooth optimization problems (2016) (20)
- Length tests for goodness of fit (1991) (20)
- Rounding on the standard simplex: regular grids for global optimization (2014) (19)
- The structure of completely positive matrices according to their CP-rank and CP-plus-rank (2015) (19)
- The Complexity of Simple Models - A Study of Worst and Typical Hard Cases for the Standard Quadratic Optimization Problem (2017) (19)
- A fresh CP look at mixed-binary QPs: new formulations and relaxations (2017) (18)
- One-third rules with equality: Second-order evolutionary stability conditions in finite populations. (2008) (18)
- Standard bi-quadratic optimization problems and unconstrained polynomial reformulations (2012) (17)
- Extended stellar systems in the solar neighborhood. IV. Meingast 1: the most massive stellar stream in the solar neighborhood. (2020) (16)
- First-order Methods for the Impatient: Support Identification in Finite Time with Convergent Frank-Wolfe Variants (2019) (16)
- Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations (2017) (15)
- Solving Two-Stage Stochastic Steiner Tree Problems by Two-Stage Branch-and-Cut (2010) (15)
- Portfolio selection via replicator dynamics and projections of indefinite estimated covariances (2000) (13)
- Active Set Complexity of the Away-Step Frank-Wolfe Algorithm (2019) (13)
- Unconstrained formulation of standard quadratic optimization problems (2010) (12)
- Hessian barrier algorithms for linearly constrained optimization problems (2018) (11)
- Improved SDP bounds for minimizing quadratic functions over the $$\ell^{1}$$-ball (2006) (11)
- A Conic Duality Frank-Wolfe-Type Theorem via Exact Penalization in Quadratic Optimization (2009) (11)
- The combinatorics of pivoting for the maximum weight clique (2004) (11)
- Uniform Barriers and Evolutionarily Stable Sets (1998) (9)
- Copositive relaxation beats Lagrangian dual bounds in quadratically and linearly constrained QPs (2013) (9)
- Frank–Wolfe and friends: a journey into projection-free first-order optimization methods (2021) (9)
- Global Optimization: A Quadratic Programming Perspective (2010) (9)
- Building a completely positive factorization (2017) (8)
- Replicator Dynamics for Evolution Towards the Maximum Clique: Variations and Experiments* (1998) (8)
- Estimating qualifications in a self-evaluating group (1995) (8)
- A new "annealed" heuristic for the maximum clique problem (2000) (8)
- Copositivity Aspects of Standard Quadratic Optimization Problems (2000) (6)
- Two-stage stochastic standard quadratic optimization (2021) (6)
- Fast Cluster Detection in Networks by First Order Optimization (2021) (6)
- Constraint selection in a build-up interior-point cutting-plane method for solving relaxations of the stable-set problem (2013) (6)
- Separable standard quadratic optimization problems (2012) (5)
- "On the Definition of an Evolutionarily Stable Strategy in the Playing the Field Model" by V. P. Crawford (1993) (5)
- A functional analytic approach to statistical experiments (1990) (5)
- TESTING FOR WHITE NOISE AGAINST MULTIMODAL SPECTRAL ALTERNATIVES (1992) (5)
- Fast Population Game Dynamics for Dominant Sets and Other Quadratic Optimization Problems (2010) (5)
- Multi-Standard Quadratic Optimization Problems (2007) (4)
- Trust Your Data or Not - StQP Remains StQP: Community Detection via Robust Standard Quadratic Optimization (2020) (4)
- Copositivity-based approximations for mixed-integer fractional quadratic optimization (2015) (4)
- Hyper sensitivity Analysis of portfolio Optimization Problems (2004) (4)
- Generalizing convexity for second order optimality conditions (1994) (3)
- Approximating the Maximum Weight Clique Using (2000) (3)
- Interplay of non-convex quadratically constrained problems with adjustable robust optimization (2020) (3)
- Constructing Patterns of (Many) ESSs Under Support Size Control (2019) (3)
- Parallelizable Evolutionary Dynamics Principles for Solving the Maximum Clique Problem (1996) (3)
- The ρ Ophiuchi region revisited with Gaia EDR3 (2021) (3)
- Measurable supports, reducible spaces and the structure of the optimal σ-field in unbiased estimation (1986) (2)
- Nonconvex min–max fractional quadratic problems under quadratic constraints: copositive relaxations (2019) (2)
- A note on aspirations in non-transferable utility games (1988) (2)
- Does moral play equilibrate? (2020) (2)
- Copositivity and nonconvex optimization (1992) (2)
- Notoriously hard (mixed-)binary QPs: empirical evidence on new completely positive approaches (2018) (2)
- Improving SDP bounds for minimizing quadratic functions over the l1-ball (2005) (1)
- Conic formulation of QPCCs applied to truly sparse QPs (2022) (1)
- Egon Balas (1922-2019) (2019) (1)
- Mining for diamonds - Matrix generation algorithms for binary quadratically constrained quadratic problems (2022) (1)
- Standard Quadratic Optimization Problems: Theory (2009) (1)
- Amendments and Corrections‘Length tests for goodness of fit’ (1992) (1)
- Significance Mode Analysis (SigMA) for hierarchical structures. An application to the Sco-Cen OB association (2022) (1)
- Narrowing the difficulty gap for the Celis–Dennis–Tapia problem (2014) (0)
- EllipsoidalApproach toBox-ConstrainedQuadratic Problems (0)
- Unconstrained formulation of standard quadratic optimization problems (2010) (0)
- Uncover: Toward Interpretable Models for Detecting New Star Cluster Members. (2022) (0)
- Mutual Impact of Numerical Linear Algebra and Large-Scale Optimization (2007) (0)
- Projection free methods on product domains (2023) (0)
- Copositivity and Complete Positivity (2018) (0)
- Standard Quadratic Optimization Problems: Applications (2009) (0)
- Global invasion barriers (1989) (0)
- Comment on terminology used in my JOGO articles [ 1 , 2 ] (2007) (0)
- Notoriously hard (mixed-)binary QPs: empirical evidence on new completely positive approaches (2018) (0)
- Emerging and innovative OR applications: a special issue in honor of Walter J. Gutjahr (2018) (0)
- Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations (2018) (0)
- New Results on Self-Concordant Barriers for Polynomial Cones (2008) (0)
- A fresh CP look at mixed-binary QPs: new formulations and relaxations (2017) (0)
- Nonlinear Optimization: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 2007 (2010) (0)
- Separable standard quadratic optimization problems (2011) (0)
- IIIrd Workshop on Global Optimization Organized by the Austrian and by the Hungarian Operations Research Societies (2007) (0)
- Buchbesprechunge@@@Book reviews (1979) (0)
- Comment on terminology used in my JOGO (1999) (0)
- Pure infection-immunization dynamics for partnership games: A correction (2019) (0)
- Does moral play equilibrate? (2020) (0)
- Interplay of non-convex quadratically constrained problems with adjustable robust optimization (2020) (0)
- Strategies and payoffs (1989) (0)
- Copositivity detection by difference-of-convex decomposition and ω-subdivision (2012) (0)
- [Randomized field study of the etiology of strabismus concomitans]. (1992) (0)
- Nonconvex min–max fractional quadratic problems under quadratic constraints: copositive relaxations (2019) (0)
- Standard bi-quadratic optimization problems and unconstrained polynomial reformulations (2011) (0)
- Constraint selection in a build-up interior-point cutting-plane method for solving relaxations of the stable-set problem (2013) (0)
- Copositivity and constrained fractional quadratic problems (2013) (0)
- Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization (2011) (0)
- An Interior-Point Algorithm with Selective Addition of Inequalities for Solving Doubly Non-Negative Relaxations of Maximum-Stable-Set and Maximum-Clique Problems (2011) (0)
- Optimization of functions with rank-two variation over a box (2005) (0)
- Emerging and innovative OR applications: a special issue in honor of Walter J. Gutjahr (2018) (0)
- List of referees (2008) (0)
- List of Referees (1997) (0)
- Some Facts about the European Journal of Operational Research (EJOR) (2013) (0)
- Games with bilinear average mean payoff (1989) (0)
- Optimization under Uncertainty and Risk: Quadratic and Copositive Approaches (2022) (0)
- Uncertainty Preferences in Robust Mixed-Integer Linear Optimization with Endogenous Uncertainty (2020) (0)
- Standard Quadratic Optimization Problems: Algorithms (2009) (0)
- Amendments and Corrections (1992) (0)
- Rounding on the standard simplex: regular grids for global optimization (2013) (0)
- Necessary conditions for local optimality in d . c . programming (2008) (0)
- Extended trust region problems over one or two balls: exact (semi-)Lagrangian relaxations (2017) (0)
- The Marguerite Frank Award for the best EJCO paper 2021 (2022) (0)
- Building a completely positive factorization (2017) (0)
- On minimal Hölder gaps and Shannon entropy balance (2018) (0)
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