Cross-Domain Few-Shot Learning (CD-FSL) remains a significant challenge due to substantial distribution shifts between source and target domains. While prior approaches primarily focus on spatial alignment, they often overlook discrepancies in the frequency domain. In this paper, we reveal frequency band discretization as a key phenomenon, characterized by intra-domain low-frequency dominance, inter-domain amplitude divergence, and limited high-frequency variation. This spectral disharmony biases models toward low-frequency components, leading to spectral collapse. We quantify spectral collapse via the effective rank, a principled measure of spectral diversity. To mitigate spectral collapse, we propose Harmonized Amplitude Perturbation (HAP), a frequency-domain augmentation strategy that perturbs the amplitude spectrum via frequency-aware gains sampled from Harmonized Distributions, while fixing the phase spectrum to maintain semantic integrity. Extensive experiments on both Cross-Domain Few-Shot Image Classification and Object Detection benchmarks demonstrate that HAP effectively increases spectral diversity and consistently improves generalization, outperforming state-of-the-art methods without introducing extra model complexity.

Cross-Domain Few-Shot Learning (CD-FSL) aims to transfer knowledge from seen source domains to unseen target domains, which is crucial for evaluating the generalization and robustness of models. Recent studies focus on utilizing visual styles to bridge the domain gap between different domains. However, the serious dilemma of gradient instability and local optimization problem occurs in those style-based CD-FSL methods. This paper addresses these issues and proposes a novel crop-global style perturbation method, called Self-Versatility Adversarial Style Perturbation (SVasP), which enhances the gradient stability and escapes from poor sharp minima jointly. Specifically, SVasP simulates more diverse potential target domain adversarial styles via diversifying input patterns and aggregating localized crop style gradients, to serve as global style perturbation stabilizers within one image, a concept we refer to as self-versatility. Then a novel objective function is proposed to maximize visual discrepancy while maintaining semantic consistency between global, crop, and adversarial features. Having the stabilized global style perturbation in the training phase, one can obtain a flattened minima in the loss landscape, boosting the transferability of the model to the target domains. Extensive experiments on multiple benchmark datasets demonstrate that our method significantly outperforms existing state-of-the-art methods.

Human intelligence is characterized by our ability to absorb and apply knowledge from the world around us, especially in rapidly acquiring new concepts from minimal examples, underpinned by prior knowledge. Few-shot learning (FSL) aims to mimic this capacity by enabling significant generalizations and transferability. However, traditional FSL frameworks often rely on assumptions of clean, complete, and static data, conditions that are seldom met in real-world environments. Such assumptions falter in the inherently uncertain, incomplete, and dynamic contexts of the open world. This paper presents a comprehensive review of recent advancements designed to adapt FSL to open-world environments. We categorize existing methods into three distinct types of FSL in the open world: those involving varying instances, varying classes, and varying distributions. Each category is discussed in terms of its specific challenges and methods, as well as its strengths and weaknesses. We standardize experimental settings and metric benchmarks across scenarios and provide a comparative analysis of the performance of various methods. In conclusion, we outline potential future research directions for this evolving field. It is our hope that this review will catalyze further development of effective solutions to these complex challenges, thereby advancing the field of artificial intelligence.