Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
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An algebraic approach defines semi-algebraic parameter sets from underlying polynomial structures in evolutionary processes before likelihood maximization, showing compatibility with existing statistical EvAM models while adding parameter-space information.
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Copositive Matrices with Ordered Off-Diagonal Entries
Copositive matrices with nondecreasing off-diagonal entries admit a PSD plus nonnegative decomposition, which implies exactness of a natural relaxation for separable quadratic optimization over the simplex.
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An Algebraic Approach to Evolutionary Accumulation Models
An algebraic approach defines semi-algebraic parameter sets from underlying polynomial structures in evolutionary processes before likelihood maximization, showing compatibility with existing statistical EvAM models while adding parameter-space information.