DiffKnock: Diffusion-based Knockoff Statistics for Neural Networks Inference
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Abstract (arXiv)
We introduce DiffKnock, a diffusion-based knockoff framework for high-dimensional feature selection with finite-sample false discovery rate (FDR) control. DiffKnock addresses two key limitations of existing knockoff methods: preserving complex feature dependencies and detecting non-linear associations. Our approach trains diffusion models to generate valid knockoffs and uses neural network--based gradient and filter statistics to construct antisymmetric feature importance measures. Through simulations, we showed that DiffKnock achieved higher power than autoencoder-based knockoffs while maintaining target FDR, indicating its superior performance in scenarios involving complex non-linear architectures. Applied to murine single-cell RNA-seq data of LPS-stimulated macrophages, DiffKnock identifies canonical NF-kappaB target genes (Ccl3, Hmox1) and regulators (Fosb, Pdgfb). These results highlight that, by combining the flexibility of deep generative models with rigorous statistical guarantees, DiffKnock is a powerful and reliable tool for analyzing single-cell RNA-seq data, as well as high-dimensional and structured data in other domains.
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References · 15
- 2020Denoising Diffusion Probabilistic Modelscited by 20,952
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,023
- 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,751
- 2017Axiomatic Attribution for Deep Networkscited by 3,368
- 2013Deep Inside Convolutional Networks: Visualising Image Classification Models and Saliency Mapscited by 2,360
- 2017Learning Important Features Through Propagating Activation Differencescited by 1,455
- 2017Generative Adversarial Networks: An Overviewcited by 589
- 2016Panning for Gold: Model-X Knockoffs for High-dimensional Controlled Variable Selectioncited by 120
- 2014Controlling the false discovery rate via knockoffscited by 97
- 2018IntroVAE: Introspective Variational Autoencoders for Photographic Image Synthesiscited by 85
- 2018Gaussian Process Prior Variational Autoencoderscited by 72
- 2018DeepPINK: reproducible feature selection in deep neural networkscited by 41
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- 2026CRNDiff: Count-Native Diffusion Framework via Chemical Reaction Networks
- 2024scRDiT: Generating single-cell RNA-seq data by diffusion transformers and accelerating sampling
- 2026Improving scDiffusion with Sparsity-Biased Classifier-Free Guidance
- 2026ScDiVa: Masked Discrete Diffusion for Joint Modeling of Single-Cell Identity and Expression
- 2024White-Box Diffusion Transformer for single-cell RNA-seq generation
- 2025Inference-Time Alignment in Diffusion Models with Reward-Guided Generation: Tutorial and Review
- 2026CoDiffGRN: Rethinking Gene Regulatory Network Inference via the BEELINE-KGC Benchmark and Co-evolutionary Discrete Diffusion