{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/fast-diffusion-em-a-diffusion-model-for-blind","title":"Fast Diffusion EM: a diffusion model for blind inverse problems with application to deconvolution","arxiv_id":"2309.00287","date":"2023-09-01","proceeding":null,"authors":["Charles Laroche","Andrés Almansa","Eva Coupete"],"abstract":"Using diffusion models to solve inverse problems is a growing field of research. Current methods assume the degradation to be known and provide impressive results in terms of restoration quality and diversity. In this work, we leverage the efficiency of those models to jointly estimate the restored image and unknown parameters of the degradation model such as blur kernel. In particular, we designed an algorithm based on the well-known Expectation-Minimization (EM) estimation method and diffusion models. Our method alternates between approximating the expected log-likelihood of the inverse problem using samples drawn from a diffusion model and a maximization step to estimate unknown model parameters. For the maximization step, we also introduce a novel blur kernel regularization based on a Plug \\& Play denoiser. Diffusion models are long to run, thus we provide a fast version of our algorithm. Extensive experiments on blind image deblurring demonstrate the effectiveness of our method when compared to other state-of-the-art approaches.","url_abs":"https://arxiv.org/abs/2309.00287v2","url_pdf":"https://arxiv.org/pdf/2309.00287v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"fast-diffusion-em-a-diffusion-model-for-blind","repo_url":"https://github.com/claroche-r/fastdiffusionem","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"pytorch","reach":{"status":"ok"}}],"tasks":[{"task_slug":"blind-image-deblurring","task_name":"Blind Image Deblurring"},{"task_slug":"deblurring","task_name":"Deblurring"},{"task_slug":"diversity","task_name":"Diversity"},{"task_slug":"image-deblurring","task_name":"Image Deblurring"}],"methods":[{"method_slug":"diffusion","method_name":"Diffusion"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2309.00287","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2309.00287"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-24T18:15:14+00:00","read_at_is":"when the build read Syntology's graph, not when any sample ran","claim":"Per-sample execution status on synthesized fixtures; not a correctness claim about the paper. Samples come from repositories linked to the paper, official or community; repo_kind says which.","repos":[{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/claroche-r/fastdiffusionem","reach":{"status":"ok"}}],"summary":{"ran_draft_wrong":6,"ran":6,"unverified":13},"by_repo_kind":{"official":{"samples":25,"ran":12,"repositories":1}},"repo_kind_vocabulary":{"official":"The archive marks this repository official for the paper","named_in_paper":"The archive records that the paper mentions this repository; it is not marked official","listed":"In the archive's code links for this paper, not marked official and not recorded as mentioned in the paper","found_in_text":"Syntology found this repository in the paper's own text; whether it is the authors' implementation is not asserted","community":"Not in the archive's code links for this paper; a community repository Syntology harvested"},"n_pointer_only_for_licence":25,"samples":[{"code_sha256_prefix":"0bb3503f833a6f8e","entry":"conv","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"networks/basicblock.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/networks/basicblock.py","link_basis":"harvester_set","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"0bb3503f833a6f8e"}},{"code_sha256_prefix":"e41367ad14ff58fd","entry":"get_param_groups_and_shapes","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/fp16_util.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/fp16_util.py","link_basis":"harvester_set","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e41367ad14ff58fd"}},{"code_sha256_prefix":"e20dd5102da3b050","entry":"make_master_params","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/fp16_util.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/fp16_util.py","link_basis":"harvester_set","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e20dd5102da3b050"}},{"code_sha256_prefix":"bcd8b4acab199405","entry":"make_output_format","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/logger.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/logger.py","link_basis":"harvester_set","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"bcd8b4acab199405"}},{"code_sha256_prefix":"8027fc71dcbcfc45","entry":"register_conditioning_method","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/blind_condition_methods.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/blind_condition_methods.py","link_basis":"harvester_set","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"8027fc71dcbcfc45"}},{"code_sha256_prefix":"2423fa5313aa3525","entry":"register_mean_processor","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/posterior_mean_variance.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/posterior_mean_variance.py","link_basis":"harvester_set","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"2423fa5313aa3525"}},{"code_sha256_prefix":"7f47ba486efd2c7e","entry":"register_operator","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/measurements.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/measurements.py","link_basis":"harvester_set","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"7f47ba486efd2c7e"}},{"code_sha256_prefix":"d9bb4d03137bc7e9","entry":"register_sampler","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/gaussian_diffusion.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/gaussian_diffusion.py","link_basis":"harvester_set","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"d9bb4d03137bc7e9"}},{"code_sha256_prefix":"e214ee19e7a9d92b","entry":"register_var_processor","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/posterior_mean_variance.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/posterior_mean_variance.py","link_basis":"harvester_set","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e214ee19e7a9d92b"}},{"code_sha256_prefix":"64fff1e30802b815","entry":"unflatten_master_params","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/fp16_util.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/fp16_util.py","link_basis":"harvester_set","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"64fff1e30802b815"}},{"code_sha256_prefix":"1e826b826044c581","entry":"upsample_pixelshuffle","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"networks/basicblock.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/networks/basicblock.py","link_basis":"harvester_set","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"1e826b826044c581"}},{"code_sha256_prefix":"129b804760b3115f","entry":"zero_module","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/nn.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/nn.py","link_basis":"harvester_set","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"129b804760b3115f"}},{"code_sha256_prefix":"ecd0fc28815b65ae","entry":"avg_pool_nd","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/nn.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/nn.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"ecd0fc28815b65ae"}},{"code_sha256_prefix":"944d16b22c6e6e77","entry":"cal_gradient_penalty","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/unet.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/unet.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"944d16b22c6e6e77"}},{"code_sha256_prefix":"fe4eb545bbb728e0","entry":"conv_nd","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/nn.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/nn.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"fe4eb545bbb728e0"}},{"code_sha256_prefix":"6200a7f3a9ede7e1","entry":"create_model","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/unet.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/unet.py","link_basis":"plan_row","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"6200a7f3a9ede7e1"}},{"code_sha256_prefix":"7a9479e9edb0166b","entry":"create_sampler","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/gaussian_diffusion.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/gaussian_diffusion.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"7a9479e9edb0166b"}},{"code_sha256_prefix":"ceb7328ab8bdbfe2","entry":"get_conditioning_method","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/blind_condition_methods.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/blind_condition_methods.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"ceb7328ab8bdbfe2"}},{"code_sha256_prefix":"e92451e6fb900818","entry":"get_mean_processor","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/posterior_mean_variance.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/posterior_mean_variance.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e92451e6fb900818"}},{"code_sha256_prefix":"bbb1be64bf961d18","entry":"get_operator","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/measurements.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/measurements.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"bbb1be64bf961d18"}},{"code_sha256_prefix":"b910fefa7866252e","entry":"get_sampler","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/gaussian_diffusion.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/gaussian_diffusion.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"b910fefa7866252e"}},{"code_sha256_prefix":"e515a67f7f32e76d","entry":"mpi_weighted_mean","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/logger.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/logger.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e515a67f7f32e76d"}},{"code_sha256_prefix":"31c1836896297cd8","entry":"p2o","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/measurements.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/measurements.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"31c1836896297cd8"}},{"code_sha256_prefix":"e84da58ba9736585","entry":"pixel_unshuffle","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"networks/basicblock.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/networks/basicblock.py","link_basis":"first_harvest_node","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"e84da58ba9736585"}},{"code_sha256_prefix":"0c6607473a4c4c55","entry":"profile","repo":"claroche-r/fastdiffusionem","repo_kind":"official","path":"guided_diffusion/logger.py","file_url":"https://github.com/claroche-r/fastdiffusionem/blob/HEAD/guided_diffusion/logger.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"NONE","inline_ok":false,"mcp_get_code":{"code_sha256":"0c6607473a4c4c55"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}