{"id":"https://openalex.org/W4294732812","doi":"https://doi.org/10.7554/elife.70169.sa2","title":"Author response: Recovering mixtures of fast-diffusing states from short single-particle trajectories","display_name":"Author response: Recovering mixtures of fast-diffusing states from short single-particle trajectories","publication_year":2022,"publication_date":"2022-02-01","ids":{"openalex":"https://openalex.org/W4294732812","doi":"https://doi.org/10.7554/elife.70169.sa2"},"language":"en","primary_location":{"id":"doi:10.7554/elife.70169.sa2","doi":"https://doi.org/10.7554/elife.70169.sa2","is_oa":true,"landing_page_url":"https://doi.org/10.7554/elife.70169.sa2","pdf_url":null,"source":{"id":"https://openalex.org/S1336409049","display_name":"eLife","issn_l":"2050-084X","issn":["2050-084X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-2","ki-jl-2","medline","norway-2","oarl","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311710","host_organization_name":"eLife Sciences Publications Ltd","host_organization_lineage":["https://openalex.org/P4310311710"],"host_organization_lineage_names":["eLife Sciences Publications Ltd"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"peer-review"},"volume":null,"type":"peer-review","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.7554/elife.70169.sa2","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011551260","display_name":"Alec Basil Heckert","orcid":"https://orcid.org/0000-0001-8748-6645","observed_orcids":["https://orcid.org/0000-0001-8748-6645"]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alec Heckert","raw_affiliation_strings":["Department of Molecular and Cell Biology, Li Ka Shing Center for Biomedical and Health Sciences, University of California, Berkeley"],"raw_orcid":"https://orcid.org/0000-0001-8748-6645","affiliations":[{"raw_affiliation_string":"Department of Molecular and Cell Biology, Li Ka Shing Center for Biomedical and Health Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050728909","display_name":"Liza Dahal","orcid":"https://orcid.org/0000-0002-5600-1673","observed_orcids":["https://orcid.org/0000-0002-5600-1673"]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Liza Dahal","raw_affiliation_strings":["CIRM Center of Excellence, University of California, Berkeley","Department of Molecular and Cell Biology, Li Ka Shing Center for Biomedical and Health Sciences, University of California, Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIRM Center of Excellence, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Molecular and Cell Biology, Li Ka Shing Center for Biomedical and Health Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082330841","display_name":"Robert Tjian","orcid":"https://orcid.org/0000-0003-0539-8217","observed_orcids":["https://orcid.org/0000-0003-0539-8217"]},"institutions":[{"id":"https://openalex.org/I1344073410","display_name":"Howard Hughes Medical Institute","ror":"https://ror.org/006w34k90","country_code":"US","type":"facility","lineage":["https://openalex.org/I1344073410"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Tjian","raw_affiliation_strings":["CIRM Center of Excellence, University of California, Berkeley","Howard Hughes Medical Institute"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIRM Center of Excellence, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Howard Hughes Medical Institute","institution_ids":["https://openalex.org/I1344073410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071287432","display_name":"Xavier Darzacq","orcid":"https://orcid.org/0000-0003-2537-8395","observed_orcids":["https://orcid.org/0000-0003-2537-8395"]},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xavier Darzacq","raw_affiliation_strings":["Department of Molecular and Cell Biology, Li Ka Shing Center for Biomedical and Health Sciences, University of California, Berkeley"],"raw_orcid":"https://orcid.org/0000-0003-2537-8395","affiliations":[{"raw_affiliation_string":"Department of Molecular and Cell Biology, Li Ka Shing Center for Biomedical and Health Sciences, University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3000,"currency":"USD","value_usd":2500},"apc_paid":{"value":3000,"currency":"USD","value_usd":2500},"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.3986999988555908,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.3986999988555908,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10540","display_name":"Advanced Fluorescence Microscopy Techniques","score":0.3441999852657318,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.039500001817941666,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/single-particle-tracking","display_name":"single-particle tracking","score":0.8669999837875366},{"id":"https://openalex.org/keywords/protein-diffusion","display_name":"protein diffusion","score":0.6330000162124634},{"id":"https://openalex.org/keywords/nonparametric-bayesian-inference","display_name":"Bayesian nonparametrics","score":0.859000027179718}],"concepts":[{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.61607426404953},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5159674286842346},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2877461314201355},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.2679707109928131},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.05651766061782837}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.7554/elife.70169.sa2","doi":"https://doi.org/10.7554/elife.70169.sa2","is_oa":true,"landing_page_url":"https://doi.org/10.7554/elife.70169.sa2","pdf_url":null,"source":{"id":"https://openalex.org/S1336409049","display_name":"eLife","issn_l":"2050-084X","issn":["2050-084X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-2","ki-jl-2","medline","norway-2","oarl","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311710","host_organization_name":"eLife Sciences Publications Ltd","host_organization_lineage":["https://openalex.org/P4310311710"],"host_organization_lineage_names":["eLife Sciences Publications Ltd"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"peer-review"}],"best_oa_location":{"id":"doi:10.7554/elife.70169.sa2","doi":"https://doi.org/10.7554/elife.70169.sa2","is_oa":true,"landing_page_url":"https://doi.org/10.7554/elife.70169.sa2","pdf_url":null,"source":{"id":"https://openalex.org/S1336409049","display_name":"eLife","issn_l":"2050-084X","issn":["2050-084X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-2","ki-jl-2","medline","norway-2","oarl","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311710","host_organization_name":"eLife Sciences Publications Ltd","host_organization_lineage":["https://openalex.org/P4310311710"],"host_organization_lineage_names":["eLife Sciences Publications Ltd"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"peer-review"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4293576390","https://openalex.org/W6939521648","https://openalex.org/W2075247602","https://openalex.org/W2989854243","https://openalex.org/W4402493157","https://openalex.org/W2292814776","https://openalex.org/W2790230035","https://openalex.org/W7099673507","https://openalex.org/W1608040030","https://openalex.org/W1733416777"],"abstract_inverted_index":{"Article":[0,20],"Figures":[1],"and":[2,11,21,38,79,98,127,142,171,335,339,347,727,756,764,805,828,943,949,962,1082,1177,1203,1319,1467,1478,1717,1729,1800,1825,1870,1876,1906,1989,2014,2023,2030,2132,2138,2256,2268,2320,2343,2436,2485,2500,2560,2580,2647,2823,2837,2853,2874,2903,3045,3101,3139,3192,3275,3306,3354,3392,3415,3457,3476,3483,3487,3527,3532,3587,3593,3602,3684,3717,3738,3755,3789,4000,4068,4107,4183,4216,4223,4250,4274,4283,4297,4331,4337,4378,4393,4412,4444,4480],"data":[3,120,636,1797,3492],"Abstract":[4,25],"Editor's":[5,154],"evaluation":[6,155],"Introduction":[7,236],"Results":[8,2098],"Discussion":[9],"Materials":[10],"methods":[12,107,1171,1937,1944,1970,2054,2516,3793,4521],"Data":[13],"availability":[14],"References":[15],"Decision":[16,228],"letter":[17,229],"Author":[18],"response":[19],"author":[22],"information":[23,1619],"Metrics":[24],"Single-particle":[26],"tracking":[27,169,174,294,549,765,3715],"(SPT)":[28],"directly":[29,1598],"measures":[30],"the":[31,89,133,140,163,197,211,225,247,264,272,299,326,352,432,566,572,575,607,639,665,691,759,762,799,803,809,839,848,875,878,884,887,896,940,947,980,997,1008,1042,1068,1100,1114,1144,1190,1244,1281,1292,1317,1332,1336,1342,1345,1351,1362,1376,1379,1384,1400,1430,1492,1500,1507,1511,1600,1636,1652,1671,1676,1681,1685,1709,1736,1748,1769,1787,1860,1866,1899,1940,1990,1998,2056,2087,2115,2127,2151,2161,2164,2175,2180,2183,2188,2225,2228,2241,2265,2269,2278,2285,2293,2332,2370,2376,2428,2444,2460,2488,2519,2527,2536,2585,2599,2632,2657,2660,2669,2712,2719,2725,2750,2799,2818,2825,2834,2912,2930,2946,2950,2960,2974,2986,3004,3008,3052,3062,3088,3103,3107,3126,3174,3189,3202,3215,3221,3238,3248,3255,3258,3268,3315,3324,3412,3418,3421,3429,3440,3453,3470,3494,3515,3530,3541,3551,3582,3597,3607,3641,3664,3689,3730,3741,3745,3778,3830,3838,3906,3950,3957,3986,3997,4005,4041,4116,4141,4197,4227,4240,4267,4276,4281,4293,4315,4326,4340,4351,4357,4361,4375,4390,4410,4435,4451,4456,4489,4501,4512],"dynamics":[32],"of":[33,47,51,82,115,129,135,144,160,182,187,249,263,301,354,421,434,490,494,534,574,579,596,612,643,651,706,761,802,841,850,869,877,886,891,900,996,1022,1065,1095,1192,1259,1335,1344,1350,1365,1378,1445,1514,1522,1545,1579,1643,1648,1654,1670,1687,1711,1739,1750,1786,1868,1883,1923,1942,2028,2037,2129,2153,2160,2166,2191,2201,2227,2243,2287,2357,2379,2412,2415,2439,2446,2490,2509,2521,2553,2573,2601,2631,2644,2659,2673,2689,2707,2728,2736,2764,2871,2882,2932,2962,2982,3007,3015,3061,3087,3098,3109,3134,3160,3176,3214,3229,3247,3303,3323,3362,3364,3395,3406,3420,3428,3452,3473,3502,3558,3599,3610,3748,3758,3777,3803,3825,3832,3861,3871,3913,3966,3980,3993,4056,4164,4187,4247,4256,4266,4295,4311,4356,4414,4437,4450],"proteins":[34,55,320,380],"in":[35,56,196,253,267,285,325,503,514,518,561,565,678,710,780,795,844,924,935,1199,1208,1214,1231,1270,1316,1417,1494,1532,1591,1651,1684,1747,1779,1896,2104,2122,2618,2668,3011,3025,3163,3241,3263,3344,3432,3505,3581,3808,3837,3945,3952,4028,4128,4170,4232,4325,4344,4483],"living":[36,273],"cells":[37,1047],"is":[39,60,259,304,402,501,524,586,601,752,893,915,950,1135,1212,1358,1524,1633,1666,1692,1714,1842,1891,1903,1933,1980,2083,2144,2182,2216,2260,2296,2336,2386,2421,2471,2476,2496,2517,2533,2589,2695,2718,2749,2813,2821,2824,2843,2893,2945,2953,2994,3070,3083,3166,3224,3409,3416,3553,3733,3956],"a":[40,179,215,250,254,256,286,290,305,359,367,506,515,519,532,546,590,594,732,772,901,911,1027,1056,1071,1105,1118,1262,1271,1388,1459,1468,1481,1520,1527,1542,1586,1641,1646,1829,1846,1880,1920,1934,1948,1983,1993,2005,2123,2147,2158,2192,2202,2413,2437,2467,2477,2570,2607,2628,2641,2649,2679,2683,2704,2788,2792,2802,2894,2991,3026,3071,3077,3084,3095,3132,3169,3183,3198,3226,3280,3295,3301,3390,3401,3433,3448,3466,3500,3506,3510,3521,3554,3637,3809,3869,3978,4057,4184,4236],"powerful":[41,1560],"tool":[42,307],"to":[43,77,88,112,148,162,201,214,260,308,331,357,436,469,511,526,588,602,872,953,970,1015,1039,1146,1182,1195,1219,1322,1361,1576,1634,1661,1667,1701,1743,1763,1818,1823,1831,1839,1864,1894,1997,2003,2034,2045,2048,2101,2110,2126,2141,2145,2171,2220,2240,2277,2316,2338,2353,2367,2375,2430,2465,2497,2535,2698,2710,2731,2782,2795,2829,2850,2880,2911,2929,2969,3075,3106,3179,3181,3187,3319,3342,3360,3388,3437,3460,3469,3520,3569,3605,3640,3663,3679,3688,3794,3917,4080,4299,4307,4399,4447],"dissect":[44],"molecular":[45,251],"mechanisms":[46],"cellular":[48,164,322],"regulation.":[49],"Interpretation":[50],"SPT":[52,119,152,317,435,1059,4059,4083,4156],"with":[53,121,376,411,419,439,480,505,551,558,716,731,740,808,883,904,1049,1110,1125,1185,1288,1338,1383,1462,1471,1480,1484,1535,1563,1732,1798,1919,1947,2063,2077,2195,2209,2247,2423,2514,2542,2654,2678,2755,2766,2861,2889,3029,3206,3244,3358,3400,3509,3517,3540,3560,3574,3623,3767,3814,3969,3985,4064,4077,4088,4094,4196,4235,4417,4461],"fast-diffusing":[54,412,1183],"mammalian":[57,1046,3522],"cells,":[58,3373],"however,":[59,2205],"complicated":[61,1213],"by":[62,66,94,109,241,296,724,1216,1620,1771,1844,1961,2120,2262,2310,2388,2449,2482,2605,2639,2797,3093,3904,3909,4319,4323,4389,4442],"technical":[63],"limitations":[64,71],"imposed":[65,93],"fast":[67,1123,1460,1730],"image":[68,4098],"acquisition.":[69],"These":[70,350,2675],"include":[72,351,2577,2656],"short":[73,95,122,191,535,1020,1063,1126,1130,1696,1887,2315],"trajectory":[74,616,641,768,1133,1605,2372,2469,3253,3799,3879],"length":[75,539,642,1134,1789,3562],"due":[76,87,871,1822,2044,2219,2374,2928,4306],"photobleaching":[78],"shallow":[80],"depth":[81,1349,1364],"field,":[83,1023],"high":[84,1009,1186,2528,2751],"localization":[85,125,842,922,933,1688,1712,1912,1924,2050,2130,2197,2210,2251,2270,2294,2318,2461,2819,2841,2890,2904,2933,2967,3047,3140,3307,3316,3335,3345,3588,3629,3652,3675,3709,3731,3833,4268,4312,4327],"error":[86,806,843,870,892,923,934,1713,1925,2051,2131,2229,2252,2271,2295,2820,2842,2891,2905,2968,3141,3308,3317,3336,3346,3589,3630,3653,3676,3732,3834,3943,4269,4298,4328],"low":[90],"photon":[91,1175],"budget":[92],"integration":[96,914,3914],"times,":[97],"cell-to-cell":[99,3377,3381],"variability.":[100,3378],"To":[101,245,1582,2234,3379],"address":[102,2598],"these":[103,145,428,1655,2010,2078,2236,3230,3618,3728,4415],"issues,":[104],"we":[105,467,1966,2001,2017,2169,2238,2275,2621,2786,2847,2909,2964,2996,3068,3073,3293,3312,3383,3464,3498,3701,4174,4348],"investigated":[106],"inspired":[108],"Bayesian":[110,1848,1943,2389,2670,2692,3171],"nonparametrics":[111],"infer":[113,1147,2102,2111,2498,3197],"distributions":[114,2036,2972,3208,3250,3472,4255],"state":[116,585,597,1461,1470,1745,1995,2006,2074,2391,2420,2440,2483,2504,2555,2561,2566,2611,2634,2645,2872,3016,3053,3090,3104,3203,3262,3396,3790,3862,3946,3989,3994,4514],"parameters":[117,1149,2152,2441,2458,2646,2768,3105,3204,3259],"from":[118,190,545,593,606,620,853,946,1154,1455,1664,1727,1886,2114,2433,3411,3613,3798,3882,4342,4360],"trajectories,":[123,655,658,1121,1337,1740,4248],"variable":[124,1694,2049,3046,4159],"precision,":[126],"absence":[128,1686],"prior":[130,2537],"knowledge":[131,4265],"about":[132,3334],"number":[134,186,849,1513,1544,1738,1867,1882,2378,2520,3097,3403,3747,4436],"underlying":[136,1637,2586,3608,3884,3988],"states.":[137,2066,2575,2690],"We":[138,2067,2107,2778,3233,3435,3565,3595,3616,4003,4408],"discuss":[139],"advantages":[141,1941],"disadvantages":[143],"approaches":[146,2100,2676,4380,4395],"relative":[147],"other":[149,2328],"frameworks":[150],"for":[151,204,646,693,720,750,786,811,1246,1261,1284,1298,1367,1432,1447,1519,1603,1630,1640,1680,1695,1765,1774,1805,1850,1879,1936,1958,1971,2150,2187,2502,2939,2949,2980,2990,3058,3128,3145,3209,3251,3260,3298,3462,3496,3631,3657,3698,3735,3850,3865,3949,4043,4143,4230,4367,4373,4506,4510],"analysis.":[153],"This":[156,673,889,1103,1226,1412,2811,3081,3329,3366,3408,4023,4123],"paper":[157,198],"will":[158],"be":[159,202,371,589,676,968,1229,1415,1917,2032,2666,3273,4026,4126,4397],"interest":[161,1523,1644],"biologists":[165],"who":[166],"perform":[167],"single-particle":[168,293],"experiments":[170,776,1060],"develop":[172],"new":[173,180],"methodologies.":[175],"The":[176,208,521,599,745,1093,1295,1328,1348,1372,1488,1627,1690,1978,2080,2463,2494,2715,2941,3049,3065,3158,3212,4190,4286,4385],"authors":[177,209],"investigate":[178,2068],"way":[181,1830],"estimating":[183,2578],"an":[184,993,1973,2424,2998,3110,3146,3264,3883,4086,4465],"unknown":[185,1526,1715,3662,3687],"diffusion":[188,905,1152,1296,1463,1472,1682,1703,2038,2189,2266,2831,2901,2975,3137,3148,3304,3325,3579,3611,3971,4065,4199,4296,4405,4508],"states":[189,1457,1546,1639,1731,1885,2029,2416,2522,2708,3099,3178,3633,3659,3683,3805,3968,4063,4195,4257],"single-molecule":[192],"trajectories.":[193,609,1131,1407,1888,2714,3365,3407],"Ideas":[194],"developed":[195,3465],"are":[199,239,544,638,664,1035,1178,1574,2206,2289,2312,2365,2410,2615,3266,3533,3547,3854],"likely":[200,4305],"used":[203,502,969,1700,2697,2828,4175],"further":[205],"algorithm":[206,2694,3218],"development.":[207],"give":[210],"users":[212],"access":[213],"repository":[216],"on":[217,231,321,615,629,777,847,938,1099,1783,1859,1982,1992,2012,2487,3019,3237,3489,3740,3829,3856,3878,3996],"GitHub":[218],"that":[219,223,369,1381,1393,1403,1540,1725,1777,1938,1950,2000,2019,2058,2434,2450,2790,2897,3002,3112,3220,3398,3706,4238,4350],"contains":[220],"comprehensive":[221],"code":[222],"supports":[224],"paper.":[226],"https://doi.org/10.7554/eLife.70169.sa0":[227],"Reviews":[230],"Sciety":[232],"eLife's":[233],"review":[234],"process":[235,1985,2558,2594,2804,2876,3785],"Biological":[237],"processes":[238],"driven":[240],"interactions":[242,269,276],"between":[243,1833,2065,2925,3591,3681,4010],"molecules.":[244],"understand":[246],"role":[248],"species":[252],"process,":[255],"central":[257,1628],"challenge":[258,311,2513],"measure":[261,954],"subpopulations":[262,441,1516,1663,2103,2113],"molecule":[265],"engaged":[266],"distinct":[268,648,773,1406,1536,1592,2384,2726],"without":[270],"perturbing":[271],"system.":[274],"Some":[275],"\u2013":[277,282,1048,1053,1458,1477],"such":[278,1031,1170,1611,2515],"as":[279,472,697,700,703,1032,1137,1139,1151,1250,1253,1256,1405,1436,1439,1442,1612,2004,2086,2174,2253,2281,2524,2526,2770,2801,2915,3076,3439,3636,3835,3868,4047,4050,4053,4147,4150,4153,4169],"complex":[280,1820,2026,3286],"formation":[281],"cause":[283],"changes":[284],"molecule\u2019s":[287],"mobility.":[288,1102],"As":[289,1055,1930,3279,3493,4434],"result,":[291,1057,3281],"live-cell":[292],"(SPT),":[295],"separately":[297],"observing":[298],"motion":[300,528,794,801,873,972,990,1187,1220,2194,2221,2246,2491,2624,2765,2888,2895,3000,3711,3759],"individual":[302,2307,3249],"molecules,":[303],"promising":[306],"meet":[309],"this":[310,470,604,1163,1618,2070,2142,2172,2214,2619,2783,2855,3164,3242,3291,3438,3614],"(Shen":[312],"et":[313,343,364,382,386,393,397,415,425,443,447,451,455,459,464,789,817,821,832,836,857,956,975,1000,1004,1086,1090,1166,1548,1552,1556,1567,1571,1607,1753,1757,1808,1812,1854,1927,2299,2347,2361,2395,2399,2775,2806,4470,4474],"al.,":[314,344,365,383,387,394,398,416,426,444,448,452,456,460,465,790,818,822,833,837,858,957,976,1001,1005,1087,1091,1167,1549,1553,1557,1568,1572,1608,1754,1758,1809,1813,1855,1928,2300,2348,2362,2396,2400,2776,2807,4471,4475],"2017).":[315,461,1006,1929],"While":[316,2350],"originally":[318],"targeted":[319],"membranes,":[323],"advances":[324],"past":[327],"two":[328,1456,1968,2263,2780,2899,4011],"decades":[329],"led":[330],"intracellular":[332,374,437,1058],"applications":[333],"(Barak":[334],"Webb,":[336,340],"1982,":[337],"Ghosh":[338],"1994,":[341],"Kubitscheck":[342],"2000,":[345,958,2773],"Goulian":[346],"Simon,":[348],"2000).":[349],"use":[353,1191,2569,2622,2997,3294],"stochastic":[355,3746],"labeling":[356],"isolate":[358],"single":[360,1017,1156,1263,2371,2680],"emitter\u2019s":[361,941,1101,3742],"path":[362,885],"(Manley":[363],"2008),":[366,427],"principle":[368],"can":[370,967,1916,1951,2031,2454,2665,3272,3283,3375,4396],"extended":[372],"into":[373,625,1041,2326,3620,3822],"settings":[375,438,782,3568,4078],"genetically":[377],"encoded":[378],"photoconvertible":[379],"(Ando":[381],"2002,":[384,819,1084],"Wiedenmann":[385],"2004)":[388],"or":[389,404,1517,1911,2686,2739,3154,3928,4178,4421],"cell-permeable":[390],"dyes":[391],"(Grimm":[392],"2015,":[395,457],"Grimm":[396],"2016).":[399],"Another":[400],"advance":[401],"pulsed":[403,525],"\u2018stroboscopic\u2019":[405],"excitation,":[406],"which":[407,1357,1741,2223,2723,2757,2952,3374,4511],"reduces":[408],"blur":[409,973,991,3760],"associated":[410,807,2208,2422,2754,4460],"emitters":[413,779,1018,1066,1776],"(Elf":[414,974],"2007).":[417],"Together":[418],"modifications":[420],"TIRF":[422],"microscopes":[423],"(Tokunaga":[424],"techniques":[429,2011,2351],"have":[430,1794,2648,3389],"facilitated":[431],"application":[433],"fast-moving":[440,778],"(English":[442],"2011,":[445],"Persson":[446],"2013,":[449],"Izeddin":[450],"2014,":[453,1569],"Normanno":[454],"Hansen":[458,1089,1551,1555,1570,1756,1811,2346,4473],"Following":[462],"Manley":[463],"2008,":[466],"refer":[468,2002,2170,2239,2276,2910,3074,3436],"experiment":[471],"\u2018sptPALM\u2019":[473],"(Figure":[474,928,1075,2134,2230,3118,3327,3349,3478,3643,3666,3691,3719,4258,4329,4381,4424,4492],"1A,":[475],"Video":[476,669,1077,1079,1222,1408,3763,4019,4119,4171],"1).":[477,2135,2233,2305,3123,3352],"Figure":[478,2302,2402,2404,2540,2745,2809,2859,3120,3645,3668,3693,3723,3765,4260,4333,4426,4430,4496],"1":[479,481,670,912,2543,4234],"supplement":[482,930,2232,2304,2406,2544,3122,3351,3480,3647,3670,3695,3721,3725,4262,4335,4383,4428,4432,4494,4498],"see":[483,2545,2851,2864,3770],"all":[484,1299,1624,2546,2865,3427,3632,3658,3771,3961],"Download":[485,671,696,699,702,1224,1249,1252,1255,1410,1435,1438,1441,2547,2866,3772,4021,4046,4049,4052,4121,4146,4149,4152],"asset":[486,488,672,1225,1411,2548,2550,2867,2869,3773,3775,4022,4122],"Open":[487,2549,2868,3774],"Overview":[489],"sptPALM.":[491,3021],"(A)":[492,2564,2885],"Schematic":[493,578,2551],"experimental":[495,4082],"setup.":[496],"An":[497,3143],"inclined":[498],"illumination":[499],"source":[500],"combination":[504,2242],"high-numerical":[507],"aperture":[508,1011,4090],"(NA)":[509,1012],"objective":[510,4087],"resolve":[512,1016],"molecules":[513],"thin":[516,3511],"slice":[517],"cell.":[520,3434],"excitation":[522,743,966,4110,4160,4181],"laser":[523,981],"limit":[527],"blur.":[529,1188,1221],"Tracking":[530,3022],"yields":[531],"set":[533,1647,2508,2572,3185,3557,3916],"trajectories":[536,619,1300,1309,1380,1493,1504,1650,1697,1767,2118,2308,2432,2447,2480,2510,3370,3430,3559,3845,3982,4016,4438],"(mean":[537],"track":[538],"3\u20135":[540,3563],"frames).":[541],"Trajectories":[542,1267,1452],"shown":[543],"7.48":[547,736,3041,3815,4105],"ms":[548,737,742,913,3042,3816,4109,4180],"movie":[550,567],"retinoic":[552],"acid":[553],"receptor":[554],"\u03b1-HaloTag":[555],"(RARA-HaloTag)":[556],"labeled":[557,715,2417],"photoactivatable":[559],"JF549":[560],"U2OS":[562,621,711],"nuclei.":[563],"Asterisks":[564],"frames":[568],"mark":[569],"particles":[570,1109,1124,1394],"at":[571,735,1291,1304,1313,1325,1873,2369,3254,4158],"edge":[573],"focus.":[576,1780],"(B)":[577,2592,2935],"our":[580,1368,3235,4081],"inference":[581,2651,2693,2938,2979,3217],"problem.":[582],"Each":[583,2258,2419,3874,3954],"trajectory\u2019s":[584],"assumed":[587],"random":[591],"draw":[592],"distribution":[595,605,1614,1791,2478,2609,3200,3223,3240,3609,3907],"parameters.":[598,2612,3157],"goal":[600,2495],"recover":[603,1635,1662,2025,3606,3795],"observed":[608,1649,2507,2713,3431,3535],"(C)":[610,2626,2977],"Effects":[611],"particle":[613,903],"mobility":[614,942],"length.":[617],"RARA-HaloTag":[618,652],"nuclei":[622,713],"were":[623,1268,1310,1320,1453,2848,3806,3820,3846,3902,3915,3936,3983,4072,4113,4167,4302,4517],"binned":[624],"five":[626,3851],"groups":[627],"based":[628,1782,1981,3828],"their":[630,1495,2046,3537],"mean":[631,640,897,1672,3056,3228,3561,3779,4353],"squared":[632,1673,3780,4354],"displacement":[633,899,1674,3781],"(MSD).":[634],"Individual":[635],"points":[637,2380],"each":[644,767,854,1096,1604,2154,2503,3161,3210,3252,3261,3736,3753,3841,3857,3866,3910,3976],"group":[645],"three":[647,1497,1656,3823],"knock-in":[649],"clones":[650],"(c156:":[653],"36961":[654],"c239:":[656],"27543":[657],"c258:":[659],"60347":[660],"trajectories);":[661],"bar":[662],"heights":[663],"means":[666,3219],"across":[667,1623,3371,3426,3960],"clones.":[668],"video":[674,692,1227,1245,1413,1431,4024,4042,4124,4142],"cannot":[675,1228,1414,4025,4125],"played":[677,1230,1416,4027,4127],"place":[679,1232,1418,4029,4129],"because":[680,979,1233,1419,2321,4030,4130],"your":[681,1234,1420,4031,4131],"browser":[682,1235,1421,4032,4132],"does":[683,1236,1422,1907,2323,4033,4133],"support":[684,1237,1423,4034,4134],"HTML5":[685,1238,1424,4035,4135],"video.":[686,1239,1425,4036,4136],"You":[687,1240,1426,4037,4137],"may":[688,1161,1241,1395,1427,1588,3150,4038,4138],"still":[689,983,1242,1428,4039,4139],"download":[690,1243,1429,4040,4140],"offline":[694,1247,1433,4044,4144],"viewing.":[695,1248,1434,4045,4145],"MPEG-4":[698,1251,1437,4048,4148],"WebM":[701,1254,1440,4051,4151],"Ogg":[704,1257,1443,4054,4154],"Example":[705,3014,4055],"sptPALM":[707,775,796,845,865,936,1215,1597,1631,1665,1796,1962,1974,2105,2121,2311,3491,3572],"data.":[708,3615],"NPM1-HaloTag":[709],"osteosarcoma":[712],"was":[714,1301,1354,3023,3634,3654,3661,3677,3685,3876,4075,4270,4289,4321,4364,4371,4459,4503],"100":[717],"nM":[718],"PA-JFX549-HTL":[719],"5":[721,1272,1274,1485,4120],"min":[722],"followed":[723],"washes":[725],"(\u2018Materials":[726,2255,3191,3456],"methods\u2019),":[728],"then":[729,2156,2472,2696,3900],"imaged":[730],"HiLo":[733],"setup":[734],"frame":[738,3043,3817,4103,4185],"intervals":[739],"1.5":[741],"pulses.":[744,4111],"pixel":[746,4099],"size":[747,4100],"after":[748],"accounting":[749,1804,1957],"magnification":[751],"160":[753],"nm.":[754],"Dots":[755],"lines":[757,1340,3050],"indicate":[758],"output":[760,2583],"detection":[763],"algorithm;":[766],"has":[769,866,984,2724,2923],"been":[770],"given":[771,1645,2505],"color.":[774],"3D":[781,1333],"pose":[783],"several":[784],"challenges":[785],"analysis":[787,1632],"(Hansen":[788],"2018).":[791,1092,1759,2349,4476],"First,":[792,2785],"apparent":[793,2073],"reflects":[797],"both":[798,939,2021,3474,4225,4280,4374],"true":[800,1512,2815,4362,4452],"emitter":[804,855,3737],"estimate":[810,1702,1922,2149,2317,2830,2944,2948,3394],"its":[812,944,1217,3756,4308],"position":[813,1198],"(\u2018localization":[814],"error\u2019)":[815],"(Martin":[816,2298],"Matsuoka":[820],"2009).":[823],"Like":[824],"fixed":[825,862,925,1209,1543],"cell":[826,863,926,1210,3523],"PALM":[827],"STORM":[829],"microscopies":[830],"(Betzig":[831],"2006,":[834],"Rust":[835],"2006),":[838],"magnitude":[840,2226],"depends":[846,937,1098,2486,3739],"photons":[851,3749],"collected":[852],"(Thompson":[856],"2002).":[859],"But":[860],"unlike":[861],"microscopies,":[864],"another":[867],"component":[868,890],"blur,":[874,2222,3712],"convolution":[876],"microscope\u2019s":[879],"point":[880,1315],"spread":[881],"function":[882,1792,3425,3870],"emitter.":[888],"not":[894,951,1179,1827,1892,1904,1908,2061,2324,2590],"trivial:":[895],"2D":[898,3296],"Brownian":[902,1265,1286,1450,2167,2193,2245,2883,2887,2920,2983,4062,4165],"coefficient":[906,1297,1464,1473,1683,2190,2267,2832,2902,3326,4406],"10":[907,1276],"\u03bcm2":[908,1306,1466,1475,3585,3889,3893,3897,3919,3924,3930,4070,4202,4207,4212,4218],"s-1":[909,1476,3890,3894,3898,3920,3925,3931,4071,4203,4208,4213,4219],"during":[910,3549,3752],"~180":[916],"nm,":[917,1356],"substantially":[918],"larger":[919],"than":[920,1026,3288,3347],"typical":[921],"PALM/STORM":[927],"1\u2014figure":[929,2231,2303],"1B).":[931,3671],"Consequently,":[932],"distance":[945],"focus":[948,3234],"simple":[952,2137],"(Kubitscheck":[955],"Berglund,":[959,963,1718,2344,2838],"2010,":[960],"Michalet":[961],"2012).":[964,1719,2839],"Pulsed":[965],"reduce":[971],"2007),":[977],"but":[978,1169,1815,3660],"pulse":[982,4161],"nonzero":[985],"duration":[986,1094],"(usually":[987],"\u22651":[988],"ms),":[989],"remains":[992],"important":[994],"part":[995,3318],"measurement":[998,2457],"(Deschout":[999],"2012,":[1002,1088,1550,1755,1810,2345,4472],"Lind\u00e9n":[1003],"Second,":[1007],"numerical":[1010,4089],"objectives":[1013],"required":[1014],"induce":[1019],"depths":[1021,1050],"typically":[1024],"less":[1025,3449],"micron.":[1028],"Whereas":[1029],"bacteria":[1030],"Escherichia":[1033],"coli":[1034],"often":[1036,1136,1530,1616,3367],"small":[1037,1881,2377,4507],"enough":[1038],"fit":[1040],"resulting":[1043],"focal":[1044,1069,1115,1346,1352,1385,1401,1508,3032,3512,3542,3812],"volume,":[1045,1070],"\u22655\u201310":[1051],"\u03bcm":[1052,1277,1279,1486],"cannot.":[1054],"only":[1061,2290,2816,3534],"capture":[1062],"transits":[1064,1398],"through":[1067,1399,1506,2956,3168],"behavior":[1072],"termed":[1073],"defocalization":[1074,1260,1446,1751,1806,1910,2133,3463],"1C,":[1076],"2,":[1078,3481,3651],"3;":[1080],"Kues":[1081],"Kubitscheck,":[1083],"Mazza":[1085],"transit":[1097],"creates":[1104],"sampling":[1106,1726,2988],"problem:":[1107],"slow":[1108,1469,1728,1775],"long":[1111,1120,1766],"residences":[1112,1127],"inside":[1113],"volume":[1116,1353,1386,1402,3513,3813],"contribute":[1117,1128],"few":[1119],"while":[1122,1206,1308,1499,1559,1803,1956,4369],"many":[1129,1533],"Mean":[1132,3941],"little":[1138],"3\u20134":[1140],"frames,":[1141],"severely":[1142,4518],"limiting":[1143],"ability":[1145,3598],"dynamic":[1148,1515,1638,1901,1954,1976,2112,2587,2603,3796,3886,4228,4316,4386,4481],"(such":[1150,2769],"coefficient)":[1153],"any":[1155,1314,2734],"trajectory.":[1157,2382,3211],"Fast":[1158],"multifocal":[1159],"imaging":[1160,1963,4074],"mitigate":[1162,2354],"problem":[1164,1629,1770,2143,2215,2600],"(Abrahamsson":[1165],"2013),":[1168],"currently":[1172],"require":[1173],"higher":[1174],"budgets":[1176],"yet":[1180],"applicable":[1181,3468],"targets":[1184],"Meanwhile,":[1189,4314],"cylindrical":[1193],"optics":[1194],"encode":[1196],"axial":[1197,3743],"PSF":[1200],"astigmatism":[1201],"(Kao":[1202],"Verkman,":[1204],"1994),":[1205],"popular":[1207,2139],"PALM/STORM,":[1211],"resemblance":[1218],"2":[1223,2541,2862,4108,4273],"Illustration":[1258,1444],"regular":[1264,1285,1449,2244],"state.":[1266],"simulated":[1269,1479,2013,3020,3024,3490,3702,3807,3984,4058,4076,4168],"\u00d7":[1273,1275],"ellipsoid":[1278,1293],"using":[1280,2606,2640,3973,4115],"Euler\u2013Maruyama":[1282],"scheme":[1283],"motions":[1287,4166],"specular":[1289],"reflections":[1290],"boundaries.":[1294],"held":[1302,3655],"constant":[1303,3639,3656,4009],"2.0":[1305],"s-1,":[1307,3586],"randomly":[1311],"photoactivated":[1312],"sphere":[1318,3531],"subject":[1321],"Poisson":[1323],"bleaching":[1324,3039,3575],"14":[1326,3037],"Hz.":[1327],"left":[1329,1489],"panel":[1330,1374,1490,1502],"shows":[1331,1375,1491,1503],"context":[1334,1602],"dotted":[1339],"indicating":[1341],"boundaries":[1343],"volume.":[1347,1509,3543],"700":[1355,3030,3810],"roughly":[1359],"equivalent":[1360],"measured":[1363],"field":[1366],"oil":[1369],"immersion":[1370,4092],"objectives.":[1371],"right":[1373,1501],"projection":[1377],"coincide":[1382,3539],"onto":[1387],"hypothetical":[1389],"idealized":[1390],"camera.":[1391],"Notice":[1392],"make":[1396,2146],"multiple":[1397,2767,3372],"manifest":[1404],"3":[1409,2860,4346],"multistate":[1448],"motion.":[1451],"drawn":[1454],"5.0":[1465,3896,4069],"0.05":[1474],"spherical":[1482,3027,3507],"nucleus":[1483,3028],"radius.":[1487],"native":[1496],"dimensions":[1498,3518],"projected":[1505],"Third,":[1510],"\u2018states\u2019":[1518],"protein":[1521,1587,1642],"usually":[1525,2313],"priori.":[1528],"Proteins":[1529],"participate":[1531],"complexes":[1534],"dynamics.":[1537],"Model-dependent":[1538],"analyses":[1539,1610],"assume":[1541,1724],"(Mazza":[1547,1752,1807,4469],"2017,":[1554],"2018),":[1558,1814],"when":[1561,1699,1708,2292,2531,2584,2761,2817,2852,3536,4292],"combined":[1562],"complementary":[1564],"measurements":[1565],"(Izeddin":[1566],"2020),":[1573,1609],"limited":[1575],"measuring":[1577],"coefficients":[1578,3138,3305,3580,3612,3972,4066],"known":[1580,3638],"models.":[1581,1835,2625],"compound":[1583,1768],"model":[1584,1840,1949,1987,2681,2896,3001,3072,3082,3149,3787,3887],"complexity,":[1585,2702],"behave":[1589],"differently":[1590],"subcellular":[1593,1625],"environments.":[1594],"Indeed,":[1595],"although":[1596,1914,2020],"observes":[1599],"spatial":[1601],"(Xiang":[1606],"jump":[1613,1788,4300],"modeling":[1615],"discard":[1617],"aggregating":[1621,3369],"jumps":[1622,2927],"locations.":[1626],"presence":[1653,1749],"challenges.":[1657],"A":[1658,1836,2136,2383,2512,2691],"common":[1659],"approach":[1660,1838,2140,2178,2335,2385,3067,4278,4458,4491],"construct":[1668],"histograms":[1669,1723,3604],"(MSD),":[1675],"maximum":[1677,2184],"likelihood":[1678,2185,3424],"estimator":[1679,2186],"error.":[1689,2198,2211,2462,2934,3048,4313],"MSD":[1691,1722,2181,2333,2358,2835,3603,4241,4282,4376,4457],"highly":[1693,3555],"and,":[1698],"coefficient,":[1704],"becomes":[1705,2758],"especially":[1706,2759,4290],"error-prone":[1707],"variance":[1710,4301],"(Michalet":[1716,2342,2836],"More":[1720],"problematically,":[1721],"equal":[1733],"occupation":[1734,2425,2943,3159,3175,3397,3442,3863,3947,4401,4515],"produces":[1735],"same":[1737,2826,3063],"leads":[1742],"severe":[1744,2760],"biases":[1746,1773,1959,2341,2356],"Common":[1760],"preprocessing":[1761],"steps":[1762],"select":[1764,1832],"introducing":[1772],"remain":[1778],"Methods":[1781],"least-squares":[1784],"fitting":[1785,2359],"cumulative":[1790],"(CDF)":[1793],"interpreted":[1795],"two-":[1799],"three-state":[1801,3885],"models":[1802,1821,1852,2393,2409,2568,2596,2878,3287,4423],"extend":[1816],"poorly":[1817],"more":[1819,2217,3155,3285,3340],"overfitting":[1824],"do":[1826,2060],"provide":[1828],"competing":[1834],"different":[1837],"selection":[1841],"represented":[1843,2387],"vbSPT,":[1845],"variational":[1847,2957,3170,3216],"framework":[1849],"reaction-diffusion":[1851],"(Persson":[1853],"2013).":[1856],"vbSPT":[1857,1946],"relies":[1858],"evidence":[1861],"lower":[1862],"bound":[1863],"identify":[1865],"states,":[1869,2737,4013],"it":[1871,1890,1915,2322,3386,3445,3750,4370],"excels":[1872],"recovering":[1874,1972],"occupations":[1875,2075,3057,3849,3901,4440],"transition":[1877,4007],"rates":[1878,3576],"diffusing":[1884,3804,3967,4012,4194],"However,":[1889],"appropriate":[1893],"apply":[1895,2368],"situations":[1897],"where":[1898,2474],"target\u2019s":[1900,1975],"profile":[1902,2588,4229,4317],"discrete":[1905,2571,2642,2738,4418],"consider":[1909],"error,":[1913,2319,3710],"complemented":[1918],"separate":[1921,2148],"(Lind\u00e9n":[1926],"such,":[1931],"there":[1932],"need":[1935],"combine":[1939],"like":[1945,2330,2459,3447],"accommodate":[1952],"nondiscrete":[1953,2035,2602,4254],"profiles,":[1955],"induced":[1960],"geometry.":[1964],"Here,":[1965],"examine":[1967],"alternative":[1969],"profile.":[1977],"first":[1979],"Dirichlet":[1984,2557,2593,2875,3784],"mixture":[1986,2392,2567,2595,2735,2877,3501,3786,4191],"(DPMM)":[1988],"second":[1991,3066],"finite":[1994,2390,2554,2633,3089],"approximation":[1996,2794],"DPMM":[1999,2720,2789,2978,2993,4284,4379,4490,4513],"array":[2007,2937,3054,3127,3144,3165,3791],"(SA).":[2008,3080],"Exploring":[2009],"real":[2015,3571],"datasets,":[2016],"find":[2018],"DPMMs":[2022,2043,2638,3348,3353,3475,3486,4222,4249,4443],"SAs":[2024,2040,2636,2655,3195,3282,3339,3355,3477,3488,4224,4251,4320,4445,4486],"mixtures":[2027,2881,2981,3965],"applied":[2033],"coefficients,":[2039,4509],"far":[2041],"outperform":[2042],"robustness":[2047],"variance.":[2052,2272,2906],"Both":[2053,4520],"share":[2055],"limitation":[2057,2071],"they":[2059],"deal":[2062],"transitions":[2064,3995],"how":[2069,2109,2854],"affects":[2072],"recovered":[2076,4226],"methods.":[2079,2674],"SA":[2081,3265,3297,3413,3454,4001,4277,4394],"method":[2082,2173,2856,3455,3467,3867,3875],"publicly":[2084],"available":[2085],"pip-installable":[2088],"Python":[2089],"package":[2090],"saspt":[2091],"(source:":[2092],"https://github.com/alecheckert/saspt;":[2093],"Heckert,":[2094],"2022c":[2095],"documentation:":[2096],"https://saspt.readthedocs.io/en/latest/).":[2097],"Two":[2099,4061],"datasets":[2106],"considered":[2108,2779,3499],"short,":[2116],"fragmented":[2117,3556],"produced":[2119,2309,2448,2481,3908,4388],"manner":[2124],"robust":[2125,3341],"effects":[2128,2329],"trajectory,":[2155],"compile":[2157],"histogram":[2159,2334,4242,4377],"results.":[2162],"In":[2163,2212,3290,3626,3649,3672,3727,4454],"case":[2165,2630,3086],"motion,":[2168,2921],"\u2018MSD":[2176],"histogram\u2019":[2177],"since":[2179],"no":[2196,3545],"Real":[2199],"estimates":[2200,3864,3948,4402,4416,4516],"particle\u2019s":[2203],"position,":[2204,3744],"invariably":[2207],"sptPALM,":[2213],"significant":[2218],"increases":[2224],"incorporate":[2235,2456,3152,3707],"effects,":[2237],"normally":[2248],"distributed,":[2249],"mean-zero":[2250],"\u2018RBME\u2019":[2254],"methods\u2019).":[2257,3193,3458,3484],"RBME":[2259,2288,2796,2800,2922,3129,3299,3423],"characterized":[2261],"parameters:":[2264,2900],"(For":[2273,2907],"brevity,":[2274,2908],"latter":[2279,2913],"simply":[2280,2914,3417],"\u2018localization":[2282,2916],"error.\u2019)":[2283,2917],"Importantly,":[2284,2452,3194],"increments":[2286],"Markovian":[2291],"zero":[2297,2822,3180],"2002;":[2301],"Because":[2306,2840,2985,3257,3544],"too":[2314],"take":[2325],"account":[2327,3461],"defocalization,":[2331],"prone":[2337],"large":[2339,2685,3096,4245,4462],"systematic":[2340,4463],"exist":[2352],"some":[2355,2506,3114,3245],"(Kepten":[2360],"2015),":[2363],"most":[2364,3177,3269],"difficult":[2366,4523],"level":[2373],"per":[2381,3938,4017],"(Marin":[2394],"2005,":[2397],"McLachlan":[2398],"2019;":[2401],"2A,":[2403],"2\u2014figure":[2405,3121],"1A).":[2407,3648,4263],"Such":[2408],"comprised":[2411],"collection":[2414,2688],"k=1,\u2026,K.":[2418],"\u03c4k":[2426,2499],"(describing":[2427,2443],"probability":[2429,2464],"observe":[2431,2466],"state)":[2435],"vector":[2438],"\u03b8k":[2442,2453,2501],"kind":[2445],"state).":[2451],"also":[2455,3151,3384,3686,4487],"particular":[2468,4404],"x":[2470],"\u2211k=1K\u03c4kpX(x|\u03b8k),":[2473],"pX\u2062(x|\u03b8k)":[2475],"over":[2479,2538,2610,2973,3201,4403],"k":[2484],"type":[2489],"being":[2492,2729],"considered.":[2493],"F.":[2511],"choosing":[2518],"K":[2523,2574,2579,3100],"well":[2525],"computational":[2529,2752],"cost":[2530,2753],"pX\u2062(x|\u03b8)":[2532],"nonconjugate":[2534],"\u03b8.":[2539],"comparison":[2552],"mixtures,":[2556,2559],"arrays":[2562,2873,3017],"(SAs).":[2563],"Finite":[2565],"Challenges":[2576,2653],"producing":[2581],"intelligible":[2582],"discrete.":[2591],"(DPMMs)":[2597,2879],"profiles":[2604,3797,4387],"continuous":[2608,2740],"Inference":[2613],"routines":[2614],"slow,":[2616,2995],"so":[2617],"work":[2620,3356],"approximative":[2623,2999],"SAs,":[2627,3601,4368],"special":[2629,3085],"mixture.":[2635],"approximate":[2637,2732,3570],"grid":[2643],"faster":[2650],"routine.":[2652],"choice":[2658],"parameter":[2661,3116],"grid.":[2662],"Potential":[2663],"solutions":[2664],"found":[2667,3385,4349],"nonparametric":[2671],"class":[2672,3627,3650,3673,3699,4233,4345,4484],"begin":[2677],"comprising":[2682],"very":[2684],"infinite":[2687],"prune":[2699],"away":[2700],"superfluous":[2701],"leaving":[2703],"sparse":[2705],"subset":[2706],"sufficient":[2709,3186],"explain":[2711,3188],"foundational":[2716],"example":[2717],"(Ferguson,":[2721],"1973),":[2722],"advantage":[2727],"able":[2730],"essentially":[2733],"(Neal,":[2741,2772],"1992,":[2742],"Teh,":[2743],"2010;":[2744],"2B).":[2746],"Its":[2747],"disadvantage":[2748],"inference,":[2756,2963,3311,3497],"considering":[2762],"types":[2763],"RBME)":[2771],"Andrieu":[2774],"2003).":[2777],"responses":[2781],"challenge.":[2784],"constructed":[2787],"uses":[2791],"cheap":[2793],"treating":[2798],"Markov":[2803],"(Matsuda":[2805],"2018;":[2808],"3C).":[2810],"assumption":[2812,2827],"strictly":[2814],"via":[2833],"never":[2844],"actually":[2845],"zero,":[2846],"curious":[2849],"breaks":[2857],"down.":[2858],"supplements":[2863,3769],"Application":[2870]},"counts_by_year":[],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2022-09-06T00:00:00"}