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Dramatic advances in the quality of the latent diffusion models (LDMs) also led to the malicious use of AI-generated images. While current AI-generated image detection methods assume the availability of real/AI-generated images for training, this is practically limited given the vast expressibility of LDMs. This motivates the training-free detection setup where no related data are available in advance. In this paper, we propose that the level of aliasing detected in reconstructed images produced by the autoencoder of LDMs can serve as a criterion for distinguishing between real and AI-generated images. Specifically, we propose a novel detection score function, termed high-frequency influence (HFI), which quantifies the impact of the spatial filtering-based high-frequency components of the input image on the perceptual reconstruction distance. HFI is training-free, efficient, and consistently outperforms other training-free methods in detecting challenging images generated by various generative models. We also show that HFI can successfully detect the images generated from the specified LDM. HFI outperforms the best baseline method while achieving magnitudes of speedup.