The absolute capacity of dense associative memory has mainly been analyzed for unbiased patterns. Here we examine the effect of bias in centered binary patterns under the Krotov-Hopfield single-site criterion
Perror=1/N, where
Perror is the probability that a single-site flip lowers the energy of a stored pattern and
N is the number of neurons. Each pattern component takes
1−q with probability
q and
−q otherwise, where
0<q≤1/2. For polynomial interactions of order
n, a signal-to-noise analysis gives an absolute capacity of order
Nn−1/lnN at
q=1/2. For fixed
q<1/2, however, the capacity is
O(Nn/2) for even
n≥4 and
O(N(n+1)/2) for odd
n≥5. For
n=3, both the unbiased and fixed-bias capacities remain
O(N2/lnN). For
n≥4, these different asymptotic forms imply a nonuniform large-
N limit near
q=1/2. Asymptotic matching predicts a bias-induced crossover in the region
1−2q=O(lnN/N⌊n/2⌋−1). The crossover originates from a bias-dependent crosstalk mean that reduces the stability of sites carrying the more frequent value
−q. Computer simulations are compared with the finite-size conditioned-Gaussian predictions. An activity-dependent control potential that cancels the conditional crosstalk mean restores the
Nn−1/lnN capacity for fixed
0<q<1/2 within the conditioned-Gaussian approximation.