{"id":"https://openalex.org/W2164372753","doi":"https://doi.org/10.1109/icassp.2012.6288669","title":"Uncertainty principles for signals defined on graphs: Bounds and characterizations","display_name":"Uncertainty principles for signals defined on graphs: Bounds and characterizations","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2164372753","doi":"https://doi.org/10.1109/icassp.2012.6288669","mag":"2164372753"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2012.6288669","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288669","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064798328","display_name":"Ameya Agaskar","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ameya Agaskar","raw_affiliation_strings":["Harvard School of Engineering and Applied Sciences, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Harvard School of Engineering and Applied Sciences, Cambridge, MA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102945856","display_name":"Yue Lu","orcid":"https://orcid.org/0000-0003-2216-1035"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yue M. Lu","raw_affiliation_strings":["Harvard School of Engineering and Applied Sciences, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Harvard School of Engineering and Applied Sciences, Cambridge, MA, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064798328"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1182,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.94914773,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3493","last_page":"3496"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9764999747276306,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6071130037307739},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.5907146334648132},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5768518447875977},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5196579694747925},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5002131462097168},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49004900455474854},{"id":"https://openalex.org/keywords/integral-graph","display_name":"Integral graph","score":0.4834502637386322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4773533344268799},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.43893831968307495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4288242757320404},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37941768765449524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33169177174568176},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.22560200095176697},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.160462886095047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14699265360832214},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.099581778049469},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08423641324043274}],"concepts":[{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6071130037307739},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.5907146334648132},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5768518447875977},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5196579694747925},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5002131462097168},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49004900455474854},{"id":"https://openalex.org/C204710682","wikidata":"https://www.wikidata.org/wiki/Q3036983","display_name":"Integral graph","level":5,"score":0.4834502637386322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4773533344268799},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.43893831968307495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4288242757320404},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37941768765449524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33169177174568176},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.22560200095176697},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.160462886095047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14699265360832214},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.099581778049469},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08423641324043274},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2012.6288669","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2012.6288669","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1493594095","https://openalex.org/W1551558534","https://openalex.org/W1578099820","https://openalex.org/W2008052984","https://openalex.org/W2101789093","https://openalex.org/W2136578393","https://openalex.org/W2154096164","https://openalex.org/W2158787690","https://openalex.org/W2166235716","https://openalex.org/W2293404936","https://openalex.org/W4210770595","https://openalex.org/W6652615247","https://openalex.org/W6684208503"],"related_works":["https://openalex.org/W2188097034","https://openalex.org/W3004345458","https://openalex.org/W2478475484","https://openalex.org/W2029616478","https://openalex.org/W2081084405","https://openalex.org/W4386468260","https://openalex.org/W2795850273","https://openalex.org/W2165755074","https://openalex.org/W2389330739","https://openalex.org/W2311733247"],"abstract_inverted_index":{"The":[0],"classical":[1],"uncertainty":[2],"principle":[3],"provides":[4],"a":[5,12,25,53,79,105],"fundamental":[6],"tradeoff":[7,27],"in":[8,14,39,99],"the":[9,15,35,40,46,49,69,74,87,91,109,118,126],"localization":[10,98],"of":[11,37,48,108,111,120],"signal":[13,89],"time":[16],"and":[17,42,101],"frequency":[18],"domains.":[19],"In":[20],"this":[21],"paper":[22],"we":[23,116],"describe":[24,34,59],"similar":[26],"for":[28],"signals":[29,63,67],"defined":[30],"on":[31,114],"graphs.":[32],"We":[33,57],"notions":[36],"\u201cspread\u201d":[38],"graph":[41,50,76,100],"spectral":[43,71,85,102],"domains,":[44],"using":[45],"eigenvectors":[47],"Laplacian":[51],"as":[52],"surrogate":[54],"Fourier":[55],"basis.":[56],"then":[58],"how":[60],"to":[61,93,125],"find":[62],"that,":[64],"among":[65],"all":[66],"with":[68],"same":[70],"spread,":[72,86],"have":[73],"smallest":[75],"spread":[77],"about":[78],"given":[80],"vertex.":[81],"For":[82],"every":[83],"possible":[84],"desired":[88],"is":[90,104],"solution":[92],"an":[94],"eigenvalue":[95],"problem.":[96],"Since":[97],"domains":[103],"desirable":[106],"property":[107],"elements":[110],"wavelet":[112,123],"frames":[113],"graphs,":[115],"compare":[117],"performance":[119],"some":[121],"existing":[122],"transforms":[124],"obtained":[127],"bound.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}