model,decoder,split,metric,mean,std,n_seeds,higher_better SE,MLP,split01,R²,0.9086275853772662,0.002363794698014356,5,True SE,MLP,split01,MSE,0.10394067111044776,0.00043454196017128047,5,False SE,MLP,split01,Energy dist,0.7385432401204113,0.34245497046950124,5,False SE,MLP,split01,Pathway,0.7457713360300445,0.0025384088220400318,5,True SE,MLP,split01,Coexpression,0.9540722164840412,0.0009818659030948345,5,True SE,MLP,split01,Cell cycle,0.45763539895397043,0.013759886870548885,5,True SE,MLP,split01,Cytokine,0.8968732236336405,0.0080398860635352,5,True SE,MLP,split01,DEG dice@100,0.14062564614866144,0.0064164570996257725,5,True SE,MLP,split01,LogFC Sp.,0.4637801181041086,0.01033973250658933,5,True SE,MLP,split02,R²,0.9397878331296583,0.005847087739112647,5,True SE,MLP,split02,MSE,0.08670624957333334,0.0009471106394883623,5,False SE,MLP,split02,Energy dist,0.3707499850510179,0.06565273777968701,5,False SE,MLP,split02,Pathway,0.7974656344359363,0.0011139878027099025,5,True SE,MLP,split02,Coexpression,0.9561962760666785,0.0008913550380159593,5,True SE,MLP,split02,Cell cycle,0.46698735877899294,0.006647861000180622,5,True SE,MLP,split02,Cytokine,0.8798285081103824,0.008627847378090121,5,True SE,MLP,split02,DEG dice@100,0.16196342552443665,0.011959671841132091,5,True SE,MLP,split02,LogFC Sp.,0.5198865448371226,0.012702863698049162,5,True SE,MLP,split03,R²,0.9476648751313125,0.005178081426699721,5,True SE,MLP,split03,MSE,0.08468134873739838,0.0006585069200395405,5,False SE,MLP,split03,Energy dist,0.34758185568135075,0.08495518328910744,5,False SE,MLP,split03,Pathway,0.8005623096329366,0.0018948146256138744,5,True SE,MLP,split03,Coexpression,0.9565494926295319,0.0007685252387420938,5,True SE,MLP,split03,Cell cycle,0.4671282831177669,0.008210868161929341,5,True SE,MLP,split03,Cytokine,0.8923830545499196,0.0052564510995358775,5,True SE,MLP,split03,DEG dice@100,0.2604758430638209,0.018854756217573748,5,True SE,MLP,split03,LogFC Sp.,0.5269593205866415,0.010500482882755006,5,True SE,KNN_10,split01,R²,0.8358845609782348,0.005506857409410993,5,True SE,KNN_10,split01,MSE,0.14498792791641787,0.0011404420373565317,5,False SE,KNN_10,split01,Energy dist,2.6222316381877318,1.3928075681788898,5,False SE,KNN_10,split01,Pathway,0.16541642417629127,0.003806108033381093,5,True SE,KNN_10,split01,Coexpression,0.9381759337861644,0.0019805073896806973,5,True SE,KNN_10,split01,Cell cycle,0.3988131309955537,0.0157957626686355,5,True SE,KNN_10,split01,Cytokine,0.6731320605032273,0.009584437740104054,5,True SE,KNN_10,split01,DEG dice@100,0.06960754957703864,0.012693871400431544,5,True SE,KNN_10,split01,LogFC Sp.,0.06778272501077727,0.022806651774933923,5,True SE,KNN_10,split02,R²,0.8654019999036601,0.009670313866088671,5,True SE,KNN_10,split02,MSE,0.13372901895607842,0.0017216765293023495,5,False SE,KNN_10,split02,Energy dist,1.832099590581556,1.066699683312813,5,False SE,KNN_10,split02,Pathway,0.17681045641054166,0.008844827220329358,5,True SE,KNN_10,split02,Coexpression,0.9322777805277662,0.0021456199761990353,5,True SE,KNN_10,split02,Cell cycle,0.3774713616362224,0.014349352479092334,5,True SE,KNN_10,split02,Cytokine,0.6485926349881368,0.013947920477575902,5,True SE,KNN_10,split02,DEG dice@100,0.06155154495007768,0.008393959869094865,5,True SE,KNN_10,split02,LogFC Sp.,0.04972515638773625,0.010280283906181483,5,True SE,KNN_10,split03,R²,0.889618004482936,0.006275661757932232,5,True SE,KNN_10,split03,MSE,0.12718923602845528,0.0010697201739901982,5,False SE,KNN_10,split03,Energy dist,1.2666240217521265,0.41251342392737483,5,False SE,KNN_10,split03,Pathway,0.20251417145398537,0.007219788591549934,5,True SE,KNN_10,split03,Coexpression,0.9281427553841937,0.002956125603871725,5,True SE,KNN_10,split03,Cell cycle,0.385667018827945,0.013332842642105856,5,True SE,KNN_10,split03,Cytokine,0.6701643815643612,0.012097657394444575,5,True SE,KNN_10,split03,DEG dice@100,0.06746317878375471,0.010072312809790322,5,True SE,KNN_10,split03,LogFC Sp.,0.046149764494151785,0.004699369746146746,5,True SE,KNN_20,split01,R²,0.8275392249893786,0.0053867531060116025,5,True SE,KNN_20,split01,MSE,0.14615143583208953,0.0010990219553051199,5,False SE,KNN_20,split01,Energy dist,1.4773548218807209,1.1933342756611194,5,False SE,KNN_20,split01,Pathway,0.14746616989888633,0.003436284726370792,5,True SE,KNN_20,split01,Coexpression,0.9260024281957027,0.002907170682854627,5,True SE,KNN_20,split01,Cell cycle,0.37978541198367743,0.0072406538046920575,5,True SE,KNN_20,split01,DEG dice@100,0.061337539052497184,0.010391058225512326,5,True SE,KNN_20,split01,LogFC Sp.,0.040722149758597635,0.011667935769855822,5,True SE,KNN_20,split02,R²,0.8627911977674447,0.009570518474078037,5,True SE,KNN_20,split02,MSE,0.13443310615058823,0.001672223536870641,5,False SE,KNN_20,split02,Energy dist,1.7768269544203243,1.2536338397411737,5,False SE,KNN_20,split02,Pathway,0.16439742660559983,0.010696120444300773,5,True SE,KNN_20,split02,Coexpression,0.9207265051684835,0.002647372572682518,5,True SE,KNN_20,split02,Cell cycle,0.36667285503045244,0.012982025689206986,5,True SE,KNN_20,split02,DEG dice@100,0.05738364786699325,0.00819883936479653,5,True SE,KNN_20,split02,LogFC Sp.,0.03541049532488803,0.0076338983234460756,5,True SE,KNN_20,split03,R²,0.8861793254449116,0.0066497034896328515,5,True SE,KNN_20,split03,MSE,0.1286486487658537,0.0010980436334014588,5,False SE,KNN_20,split03,Energy dist,1.598495391028536,0.28856308039774026,5,False SE,KNN_20,split03,Pathway,0.19705304000624863,0.013145267854820335,5,True SE,KNN_20,split03,Coexpression,0.9149606661564809,0.004099474753536013,5,True SE,KNN_20,split03,Cell cycle,0.372437139041086,0.004648820635343888,5,True SE,KNN_20,split03,DEG dice@100,0.06460472360851718,0.009852007242146896,5,True SE,KNN_20,split03,LogFC Sp.,0.03465051948547545,0.004766352102099088,5,True SE,Transformer,split01,R²,0.6833935619145631,0.013249923985141247,5,True SE,Transformer,split01,MSE,0.15910121808759864,0.0013880875125807958,5,False SE,Transformer,split01,Energy dist,3.4986408551688095,2.0457432170365726,5,False SE,Transformer,split01,Pathway,0.5255645114098644,0.0040201778430982195,5,True SE,Transformer,split01,Coexpression,0.7902848697845093,0.0038579882786657204,5,True SE,Transformer,split01,Cell cycle,0.33096088312307914,0.007136370871190613,5,True SE,Transformer,split01,Cytokine,0.8090402927975259,0.010693283706411275,5,True SE,Transformer,split01,DEG dice@100,0.1516275725055985,0.04401430475223783,5,True SE,Transformer,split01,LogFC Sp.,0.28626056850851417,0.003796086592775457,5,True SE,Transformer,split02,R²,0.8454436956157145,0.013128747673942929,5,True SE,Transformer,split02,MSE,0.1325565689256493,0.0012723375103332096,5,False SE,Transformer,split02,Energy dist,0.45354684542733914,0.261969650510836,5,False SE,Transformer,split02,Pathway,0.5818891000043569,0.004307366307477111,5,True SE,Transformer,split02,Coexpression,0.8155264734454766,0.0023642563667739354,5,True SE,Transformer,split02,Cell cycle,0.35072984395974904,0.010642940333477024,5,True SE,Transformer,split02,Cytokine,0.8452057062347349,0.0103285549075493,5,True SE,Transformer,split02,DEG dice@100,0.19793378471176246,0.027807855587568705,5,True SE,Transformer,split02,LogFC Sp.,0.31829402527219636,0.009292748439960821,5,True SE,Transformer,split03,R²,0.8637702541088494,0.021654901924984118,5,True SE,Transformer,split03,MSE,0.12606630039027356,0.002394709188012456,5,False SE,Transformer,split03,Energy dist,0.6197321300214826,0.4802241126791129,5,False SE,Transformer,split03,Pathway,0.5928462361891407,0.00691358872582483,5,True SE,Transformer,split03,Coexpression,0.8351003611186414,0.003060155338011759,5,True SE,Transformer,split03,Cell cycle,0.3538282089513465,0.007276210389363357,5,True SE,Transformer,split03,Cytokine,0.8639875856409869,0.0073739031769265075,5,True SE,Transformer,split03,DEG dice@100,0.16853455752159885,0.03373454039536398,5,True SE,Transformer,split03,LogFC Sp.,0.3196840432534065,0.02845124079623387,4,True scGPT,MLP,split01,R²,0.8803293612910741,0.004695881325376545,5,True scGPT,MLP,split01,MSE,0.1440318065425373,0.000945639434985732,5,False scGPT,MLP,split01,Energy dist,1.3996227217424868,0.9130293554556452,5,False scGPT,MLP,split01,Pathway,0.42512185023125026,0.0035985019838160014,5,True scGPT,MLP,split01,Coexpression,0.8623431488761473,0.0030928231155452463,5,True scGPT,MLP,split01,Cell cycle,0.3715765214110246,0.0076163654500212485,5,True scGPT,MLP,split01,Cytokine,0.8772846276774382,0.009023853711036776,5,True scGPT,MLP,split01,DEG dice@100,0.16797234269478103,0.028927304653553525,5,True scGPT,MLP,split01,LogFC Sp.,0.3525449899265868,0.011460847424923749,5,True scGPT,MLP,split02,R²,0.8985242370063183,0.008706690542287072,5,True scGPT,MLP,split02,MSE,0.13314866854823532,0.0015129885022941584,5,False scGPT,MLP,split02,Energy dist,1.1092778759536244,0.37884321229099616,5,False scGPT,MLP,split02,Pathway,0.48326476197074825,0.0052305982131776564,5,True scGPT,MLP,split02,Coexpression,0.8858139227306336,0.0010156323100637841,5,True scGPT,MLP,split02,Cell cycle,0.3691567232656939,0.009151189868623313,5,True scGPT,MLP,split02,Cytokine,0.8600562336470862,0.01280784641227336,5,True scGPT,MLP,split02,DEG dice@100,0.20068281783348646,0.01439316164933436,5,True scGPT,MLP,split02,LogFC Sp.,0.3963927609185339,0.016092751725585216,5,True scGPT,MLP,split03,R²,0.9152122440376902,0.007403095605315944,5,True scGPT,MLP,split03,MSE,0.1282603847878049,0.0009339654738976438,5,False scGPT,MLP,split03,Energy dist,0.6498049674153406,0.3695420571125141,5,False scGPT,MLP,split03,Pathway,0.5015565613372737,0.004261193188521949,5,True scGPT,MLP,split03,Coexpression,0.8866834614960044,0.0020725848016329516,5,True scGPT,MLP,split03,Cell 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scGPT,KNN_10,split02,R²,0.8835302351502812,0.008982236782278682,5,True scGPT,KNN_10,split02,MSE,0.14081451471843137,0.0016355105810308662,5,False scGPT,KNN_10,split02,Energy dist,1.6108785023785834,0.4320473490698822,5,False scGPT,KNN_10,split02,Pathway,0.38794125940237373,0.0013784044110231966,5,True scGPT,KNN_10,split02,Coexpression,0.9545974026763044,0.0014617442201337993,5,True scGPT,KNN_10,split02,Cell cycle,0.37535923192352944,0.008023020485121468,5,True scGPT,KNN_10,split02,Cytokine,0.8411498992942041,0.012287872845760281,5,True scGPT,KNN_10,split02,DEG dice@100,0.3417065893866561,0.025944458901672688,5,True scGPT,KNN_10,split02,LogFC Sp.,0.36627100337819524,0.03343603704531305,5,True scGPT,KNN_10,split03,R²,0.9048686967632635,0.006306474812847131,5,True scGPT,KNN_10,split03,MSE,0.13447336007154473,0.0009932521225836182,5,False scGPT,KNN_10,split03,Energy dist,1.1495399224996825,0.4276733388079486,5,False scGPT,KNN_10,split03,Pathway,0.4124628745443239,0.0035652486685018928,5,True scGPT,KNN_10,split03,Coexpression,0.9523702701224067,0.002693286978734967,5,True scGPT,KNN_10,split03,Cell cycle,0.3904286078502506,0.011148394229045424,5,True scGPT,KNN_10,split03,Cytokine,0.8665255332262742,0.01020716153606541,5,True scGPT,KNN_10,split03,DEG dice@100,0.36710421307304186,0.011131765395869965,5,True scGPT,KNN_10,split03,LogFC Sp.,0.3891219217375612,0.005042636940127713,5,True scGPT,KNN_20,split01,R²,0.8394003342781493,0.0051266443260058825,5,True scGPT,KNN_20,split01,MSE,0.1505732503537313,0.0009683770640481628,5,False scGPT,KNN_20,split01,Energy dist,2.185935320903287,1.439153748387106,5,False scGPT,KNN_20,split01,Pathway,0.2452908620330882,0.004386236495691314,5,True scGPT,KNN_20,split01,Coexpression,0.9409178837792105,0.0027128902869072305,5,True scGPT,KNN_20,split01,Cell cycle,0.384291225870373,0.013314445103733055,5,True scGPT,KNN_20,split01,DEG 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scGPT,KNN_20,split03,Pathway,0.41168491661688095,0.0031814111490823275,5,True scGPT,KNN_20,split03,Coexpression,0.937323015178244,0.0035308026773539325,5,True scGPT,KNN_20,split03,Cell cycle,0.3805546452680817,0.010351977826165856,5,True scGPT,KNN_20,split03,DEG dice@100,0.3412292702382968,0.0156952020960202,5,True scGPT,KNN_20,split03,LogFC Sp.,0.37520228363005537,0.007271484350569704,5,True scGPT,Transformer,split01,R²,0.6356022794544697,0.015108831073319033,5,True scGPT,Transformer,split01,MSE,0.17741902836598458,0.0015196636112916888,5,False scGPT,Transformer,split01,Energy dist,6.378001005378088,2.500552253734974,5,False scGPT,Transformer,split01,Pathway,0.3410129460071643,0.004242750383414718,5,True scGPT,Transformer,split01,Coexpression,0.7667277420908799,0.00465707510651934,5,True scGPT,Transformer,split01,Cell cycle,0.3355107127185892,0.011240348689087647,5,True scGPT,Transformer,split01,Cytokine,0.770228321477231,0.016129954713272315,5,True scGPT,Transformer,split01,DEG 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scimilarity,KNN_10,split02,MSE,0.13799068672549017,0.0017218579805748343,5,False scimilarity,KNN_10,split02,Energy dist,1.499037157851215,0.4823613743346861,5,False scimilarity,KNN_10,split02,Pathway,0.41310254483758085,0.003015954471532323,5,True scimilarity,KNN_10,split02,Coexpression,0.9539336775756404,0.0011644288189389487,5,True scimilarity,KNN_10,split02,Cell cycle,0.3780761541419325,0.00941350717384291,5,True scimilarity,KNN_10,split02,Cytokine,0.83856334251034,0.011065215771668559,5,True scimilarity,KNN_10,split02,DEG dice@100,0.34104136249926503,0.02472283011316001,5,True scimilarity,KNN_10,split02,LogFC Sp.,0.3693682023473933,0.03427161697234928,5,True scimilarity,KNN_10,split03,R²,0.9114757234003485,0.006209786459918614,5,True scimilarity,KNN_10,split03,MSE,0.1315838851495935,0.0010057600109552437,5,False scimilarity,KNN_10,split03,Energy dist,0.6865951517136409,0.5424790150895384,5,False scimilarity,KNN_10,split03,Pathway,0.44231225156239773,0.004050642364671451,5,True scimilarity,KNN_10,split03,Coexpression,0.9519058386888675,0.0018500380649082006,5,True scimilarity,KNN_10,split03,Cell cycle,0.391497301839856,0.011813438338467486,5,True scimilarity,KNN_10,split03,Cytokine,0.8704430668929801,0.009963853856273052,5,True scimilarity,KNN_10,split03,DEG dice@100,0.3672235215577101,0.013290039929223315,5,True scimilarity,KNN_10,split03,LogFC Sp.,0.39518134048448905,0.004712537652716515,5,True scimilarity,KNN_20,split01,R²,0.7975405133037425,0.010596535010920975,5,True scimilarity,KNN_20,split01,MSE,0.1526201280514925,0.001422783358975943,5,False scimilarity,KNN_20,split01,Energy dist,0.7918037727264036,0.8909924191224551,5,False scimilarity,KNN_20,split01,Pathway,0.24410550120980026,0.0029431631246931646,5,True scimilarity,KNN_20,split01,Coexpression,0.9390975204337316,0.002799636366748462,5,True scimilarity,KNN_20,split01,Cell cycle,0.38493959989559334,0.014719986480351896,5,True scimilarity,KNN_20,split01,DEG 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dist,0.6490409332091358,0.43237634467898906,5,False scimilarity,KNN_20,split03,Pathway,0.44501829858445746,0.004856301915334103,5,True scimilarity,KNN_20,split03,Coexpression,0.9361226489878481,0.002843201999575927,5,True scimilarity,KNN_20,split03,Cell cycle,0.37986574621697267,0.0073367613048180395,5,True scimilarity,KNN_20,split03,DEG dice@100,0.33582399015146897,0.015765893139336202,5,True scimilarity,KNN_20,split03,LogFC Sp.,0.3805651869562226,0.006977981768058852,5,True scimilarity,Transformer,split01,R²,0.6613878681510686,0.01582111866699237,5,True scimilarity,Transformer,split01,MSE,0.17431635522283612,0.001551524551973518,5,False scimilarity,Transformer,split01,Energy dist,3.364018707274435,3.237429026287368,5,False scimilarity,Transformer,split01,Pathway,0.3560017111435956,0.0033948000128778315,5,True scimilarity,Transformer,split01,Coexpression,0.7806647951506244,0.0022806377116017323,5,True scimilarity,Transformer,split01,Cell cycle,0.3680102295442613,0.0080607057193392,5,True scimilarity,Transformer,split01,Cytokine,0.8207916780967199,0.010789623572033674,5,True scimilarity,Transformer,split01,DEG dice@100,0.12565893998263458,0.03584856708461228,5,True scimilarity,Transformer,split01,LogFC Sp.,0.2614359458462836,0.005245326342888603,5,True scimilarity,Transformer,split02,R²,0.8481911484624298,0.01357433826635323,5,True scimilarity,Transformer,split02,MSE,0.1445061611667485,0.0013008861697142886,5,False scimilarity,Transformer,split02,Energy dist,1.0406764901768661,0.6481218963371449,5,False scimilarity,Transformer,split02,Pathway,0.43803178927915914,0.005268842198659051,5,True scimilarity,Transformer,split02,Coexpression,0.7889848933852985,0.0022192993541733687,5,True scimilarity,Transformer,split02,Cell cycle,0.3239376243680006,0.008048291678471589,5,True scimilarity,Transformer,split02,Cytokine,0.8433522106472255,0.01495760139734361,5,True scimilarity,Transformer,split02,DEG dice@100,0.16411900033225982,0.01749668373032967,5,True scimilarity,Transformer,split02,LogFC Sp.,0.30355670982804395,0.012306156057522168,5,True scimilarity,Transformer,split03,R²,0.8732645686217181,0.020507345638037567,5,True scimilarity,Transformer,split03,MSE,0.1367600540945849,0.0022726193318940513,5,False scimilarity,Transformer,split03,Energy dist,1.4133262726867735,0.7867809104717283,5,False scimilarity,Transformer,split03,Pathway,0.4461621145812577,0.010918912713784996,5,True scimilarity,Transformer,split03,Coexpression,0.8044793185088602,0.004070971262584113,5,True scimilarity,Transformer,split03,Cell cycle,0.3607233435273257,0.01340102592761695,5,True scimilarity,Transformer,split03,Cytokine,0.8644329090383612,0.009320924547044758,5,True scimilarity,Transformer,split03,DEG dice@100,0.14320150981463664,0.019589373268094235,5,True scimilarity,Transformer,split03,LogFC Sp.,0.30714178506781664,0.030614497867473462,4,True