Selection, Representation, and Execution in Sparse Fourier Neural Operators
研究通过区分稀疏表示、存储参数、理论操作数和测量运行时间,探索了稀疏Fourier神经算子的不同实现路径,以解决模型大小和推理成本问题。
研究通过区分稀疏表示、存储参数、理论操作数和测量运行时间,探索了稀疏Fourier神经算子的不同实现路径,以解决模型大小和推理成本问题。
本文提出了一种基于深度学习图像质量度量的全可微抖动校正方法,用于X射线相衬显微CT,直接从投影数据估计和补偿每个投影的刚性抖动。
This study addresses the challenge that increasing resolution in imaging inverse problems often degrades the generalization performance of deep networks. The authors systematically investigate the generalization behavior of U-Net and its neural operator variants across varying discretization resolutions. Through interpretable one-dimensional models and two-dimensional limited-angle computed tomography reconstruction experiments, they find that although neural operator-based U-Nets are theoretically resolution-invariant, conventional U-Nets exhibit superior robustness and practical generalization. This work highlights a notable gap between theoretical resolution invariance and empirical performance, offering new insights for architecture selection in high-resolution inverse problem solving.
This paper addresses the low efficiency of pointwise multiplication and convolution operations in quantum signal processing with complex-valued functions. To this end, it proposes a novel “Processing through Encoding” paradigm. Methodologically, complex functions are directly encoded into auxiliary qubit states, enabling pointwise products to emerge implicitly in the final-state amplitudes; combined with Fourier-basis encoding and the inverse quantum Fourier transform (IQFT), an end-to-end quantum convolution circuit is realized. Key contributions include: (i) the first quantum pointwise multiplication scheme that requires no explicit arithmetic gates; (ii) the first integrable and verifiable quantum convolution circuit; and (iii) a theoretically complete construction, validated via numerical simulation and modular implementation using the quantumaudio toolkit—accurately generating target products and convolution outputs. This work establishes a new pathway for quantum signal processing.
This work addresses the absence of quantum-native interaction paradigms in digital art creation by proposing the first quantum painting framework tailored for Noisy Intermediate-Scale Quantum (NISQ) devices. Methodologically, it introduces four types of quantum brushes that encode user strokes in real time into parameterized quantum circuits; quantum superposition and entanglement are leveraged to generate visual textures provably infeasible to simulate classically. The framework integrates quantum state encoding, measurement-induced wavefunction collapse, and classical rendering interfaces to enable hardware-level real-time interaction. Contributions include: (1) the first end-to-end quantum painting deployment on real quantum hardware (IQM Sirius); (2) an open-source toolchain empirically validated for robust artistic output on noisy, intermediate-scale devices; and (3) a demonstration that quantum phenomena—such as interference and quantum correlations—can be systematically harnessed as novel aesthetic primitives, thereby expanding the frontier of quantum computing applications in creative AI.
研究通过区分稀疏表示、存储参数、理论操作数和测量运行时间,探索了稀疏Fourier神经算子的不同实现路径,以解决模型大小和推理成本问题。
本文提出了一种基于深度学习图像质量度量的全可微抖动校正方法,用于X射线相衬显微CT,直接从投影数据估计和补偿每个投影的刚性抖动。
This study addresses the challenge that increasing resolution in imaging inverse problems often degrades the generalization performance of deep networks. The authors systematically investigate the generalization behavior of U-Net and its neural operator variants across varying discretization resolutions. Through interpretable one-dimensional models and two-dimensional limited-angle computed tomography reconstruction experiments, they find that although neural operator-based U-Nets are theoretically resolution-invariant, conventional U-Nets exhibit superior robustness and practical generalization. This work highlights a notable gap between theoretical resolution invariance and empirical performance, offering new insights for architecture selection in high-resolution inverse problem solving.
This paper addresses the low efficiency of pointwise multiplication and convolution operations in quantum signal processing with complex-valued functions. To this end, it proposes a novel “Processing through Encoding” paradigm. Methodologically, complex functions are directly encoded into auxiliary qubit states, enabling pointwise products to emerge implicitly in the final-state amplitudes; combined with Fourier-basis encoding and the inverse quantum Fourier transform (IQFT), an end-to-end quantum convolution circuit is realized. Key contributions include: (i) the first quantum pointwise multiplication scheme that requires no explicit arithmetic gates; (ii) the first integrable and verifiable quantum convolution circuit; and (iii) a theoretically complete construction, validated via numerical simulation and modular implementation using the quantumaudio toolkit—accurately generating target products and convolution outputs. This work establishes a new pathway for quantum signal processing.
This work addresses the absence of quantum-native interaction paradigms in digital art creation by proposing the first quantum painting framework tailored for Noisy Intermediate-Scale Quantum (NISQ) devices. Methodologically, it introduces four types of quantum brushes that encode user strokes in real time into parameterized quantum circuits; quantum superposition and entanglement are leveraged to generate visual textures provably infeasible to simulate classically. The framework integrates quantum state encoding, measurement-induced wavefunction collapse, and classical rendering interfaces to enable hardware-level real-time interaction. Contributions include: (1) the first end-to-end quantum painting deployment on real quantum hardware (IQM Sirius); (2) an open-source toolchain empirically validated for robust artistic output on noisy, intermediate-scale devices; and (3) a demonstration that quantum phenomena—such as interference and quantum correlations—can be systematically harnessed as novel aesthetic primitives, thereby expanding the frontier of quantum computing applications in creative AI.