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3 classes
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[ 0.9293197989463806, 0.7149454355239868, 0.016861524432897568, 4.385468482971191, 1.9194319248199463, 2.9458491802215576, 1.1641273498535156, 2.4405932426452637, -1.6845037937164307, 2.2810773849487305, 4.371725559234619, 4.182668209075928, -1.8784488439559937, 1.83909010887146, 3.1322696208953857 ]
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[ 1.2973787784576416, -1.7613276243209839, 1.0090571641921997, 4.3645100593566895, 1.1540924310684204, 3.2449498176574707, -1.0390174388885498, -0.5013082027435303, 4.4610114097595215, 1.7480367422103882, 3.82358455657959, -1.0058369636535645, -1.2319220304489136, 4.0428361892700195, 1.9234086275100708 ]
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[ 0.25897809863090515, -0.48470744490623474, 0.12924513220787048, 4.496147632598877, 1.8998167514801025, 0.792534351348877, 1.1544743776321411, -1.0645889043807983, 0.4556601941585541, 2.92080020904541, 2.226685047149658, 2.4903223514556885, -0.5858287215232849, 1.0538657903671265, -1.5754517316818237 ]
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[ 3.178731679916382, -1.26780104637146, 1.2395271062850952, 4.395480632781982, 1.2583800554275513, 0.6178634166717529, 2.9344482421875, 1.7489031553268433, 2.4676966667175293, -0.35008034110069275, 2.225578784942627, -0.49354809522628784, 1.7666481733322144, 0.746213972568512, 4.174232482910156 ]
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[ 1.9126940965652466, 0.41977792978286743, 0.4696257412433624, 4.010087013244629, 1.3492227792739868, 2.151766300201416, -1.3744722604751587, 2.9883716106414795, 4.365426063537598, -1.2597829103469849, 0.8636536002159119, 0.44361940026283264, 4.021390914916992, 4.317205905914307, 0.5613545775413513 ]
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[ 0.5990761518478394, -1.5836260318756104, 2.8132212162017822, 4.124255180358887, 1.4914453029632568, 0.38163113594055176, 3.733722686767578, 1.6889005899429321, 1.7714669704437256, 1.3722151517868042, 3.4557693004608154, -0.4574667811393738, -1.420252799987793, -0.3802337348461151, 3.1888620853424072 ]
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[ 0.8184481859207153, 1.6933386325836182, 0.05752493068575859, 4.3979597091674805, 1.6989169120788574, 2.6249566078186035, 1.2374097108840942, 0.35995280742645264, -1.2865676879882812, 0.5483742952346802, -1.4030745029449463, 1.3292127847671509, 2.857980728149414, 3.7858126163482666, 2.317201614379883 ]
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[ 2.2533693313598633, -1.4080333709716797, 2.6063480377197266, 4.000994682312012, 1.4837372303009033, -0.2596765160560608, 0.2224159985780716, -1.3677449226379395, -1.632580280303955, 3.433635711669922, 4.182286262512207, 3.5632731914520264, 0.34963372349739075, -0.419974148273468, 0.3032415807247162 ]
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[ 1.5748854875564575, 0.9533118605613708, 0.4948238730430603, 4.353393077850342, 1.6366103887557983, -1.7456802129745483, 3.7255287170410156, -0.07126465439796448, -0.33463427424430847, -0.9509133696556091, 1.4572811126708984, 1.6560722589492798, 0.4589632451534271, 0.9827290177345276, 4.232395172119141 ]
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[ 1.2891006469726562, -1.8349456787109375, 0.21132999658584595, 4.225697040557861, 2.301541805267334, 3.676602363586426, 3.7937092781066895, 1.4709982872009277, 2.23838472366333, 2.81748628616333, 2.5278778076171875, 4.102321624755859, 2.4361047744750977, 2.220130205154419, 2.3554527759552 ]
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[ 3.1379494667053223, 0.5487373471260071, 1.7442448139190674, 4.009949684143066, 1.096756100654602, 1.9221402406692505, 4.348731517791748, 2.8408055305480957, -1.8857065439224243, 4.238038063049316, 0.8555666208267212, 4.005585193634033, 2.2932515144348145, 3.8196001052856445, 4.037184715270996 ]
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[ 2.6132006645202637, 0.9449636340141296, 2.096994638442993, 4.384558200836182, 1.3527090549468994, -0.403879851102829, 1.6146308183670044, -1.4254451990127563, 2.259798526763916, 0.3634348213672638, 0.0030892062932252884, -0.848802924156189, 1.1415475606918335, 1.2525732517242432, 3.059225559234619 ]
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[ 1.8357086181640625, 1.180301547050476, -0.020733484998345375, 4.4312968254089355, 1.7486006021499634, 1.3707489967346191, 0.8761946558952332, -1.3990976810455322, 3.638888120651245, -1.8236777782440186, 4.367437839508057, 2.5219647884368896, 0.08531150966882706, 0.7546517848968506, 0.3153271973133087 ]
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[ 1.8418903350830078, -0.9972435235977173, 0.0441870279610157, 4.378182411193848, 1.350443720817566, 3.331136703491211, 1.3353052139282227, -1.754242181777954, 3.45391845703125, 0.9893931746482849, 1.7981679439544678, 2.8521780967712402, -0.3212990462779999, 2.7501609325408936, -0.7396031022071838 ]
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[ 0.6258305311203003, -0.35532477498054504, 0.3097244203090668, 4.178798198699951, 1.1562799215316772, -0.35823389887809753, 2.584564685821533, 3.8376643657684326, 1.1548898220062256, -1.9568746089935303, -1.0087867975234985, -0.1945219784975052, -1.067239761352539, -0.43908703327178955, 3.1717689037323 ]
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[ 0.24768143892288208, -1.6150174140930176, 0.9107245206832886, 4.331124782562256, 1.4410724639892578, 2.8925156593322754, 1.5777171850204468, 2.235950231552124, -1.7440518140792847, 1.5707305669784546, 3.973241090774536, -1.7463253736495972, 2.757391929626465, 3.7066187858581543, 2.2962732315063477 ]
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[ 1.008861780166626, -1.7235850095748901, 2.2379696369171143, 4.36952018737793, 1.5798978805541992, 4.1620097160339355, 0.3457564413547516, 2.8210530281066895, 3.153820753097534, 3.3621127605438232, -0.847189724445343, -1.1163742542266846, -1.577648401260376, 1.0341756343841553, 0.5387323498725891 ]
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[ 1.805963158607483, -1.9930790662765503, 0.0011721312766894698, 4.102146625518799, 1.380269169807434, 3.7790095806121826, -1.8555420637130737, 3.295900344848633, 4.299508094787598, 1.1397738456726074, 3.844756841659546, 4.496117115020752, 3.920840263366699, 3.86346435546875, 0.6013022065162659 ]
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[ 0.35059136152267456, 0.9807108044624329, -0.894582211971283, 4.098289966583252, 2.280097723007202, 2.550244092941284, 1.7736964225769043, -1.4762473106384277, -1.6212884187698364, -0.5159940719604492, 1.5734082460403442, -0.25124290585517883, 2.974637031555176, 3.4399406909942627, -1.1498500108718872 ]
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[ 0.31736138463020325, 0.03355305641889572, -0.27859002351760864, 4.18804931640625, 1.534112572669983, 0.4283915162086487, 3.8484139442443848, 3.6295740604400635, 1.487595796585083, 3.3383421897888184, -0.9958140254020691, 1.140323281288147, 0.7647024989128113, 1.6715863943099976, 3.200185537338257 ]
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[ 2.0776138305664062, -0.5793296694755554, -0.6904709935188293, 4.357012748718262, 1.0668365955352783, -1.9476431608200073, -0.5258622169494629, 2.9664390087127686, 1.9331786632537842, 0.00494708027690649, 3.880768299102783, 3.449585437774658, -1.2474690675735474, 3.0521492958068848, -0.9094402194023132 ]
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[ -0.1366628259420395, 1.1293102502822876, 0.28017255663871765, 4.073727607727051, 2.050942897796631, 2.799741744995117, 0.6648521423339844, 3.019826650619507, 0.47287967801094055, 1.3726255893707275, 2.8209822177886963, -1.1276285648345947, 0.1950693577528, 2.980992555618286, 4.251317977905273 ]
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[ 1.7217555046081543, -1.9412243366241455, 0.02616129256784916, 4.194453239440918, 1.135955810546875, 0.844636082649231, 1.509531855583191, 1.3068522214889526, -0.6981644630432129, 0.6982759237289429, -0.986135721206665, -0.259493350982666, -1.5416404008865356, 3.379807233810425, 1.5641649961471558 ]
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[ 1.8883839845657349, -0.06191113218665123, 0.9668360948562622, 4.213047981262207, 2.3074569702148438, 0.5660459399223328, -1.771419644355774, 2.707242250442505, -1.662437915802002, -1.21635901927948, 4.387880802154541, -1.687081217765808, -1.9892404079437256, 4.206112861633301, 4.079135894775391 ]
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[ 1.6241871118545532, -1.1747533082962036, 0.7005454301834106, 4.161767959594727, 2.2454545497894287, 0.6226972341537476, -1.4549829959869385, 4.437367916107178, 1.4586538076400757, -0.4398040771484375, -0.9085806012153625, 0.8580752611160278, -1.5819125175476074, 2.1609253883361816, 0.05892660468816757 ]
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[ 1.7099438905715942, -0.39173218607902527, -0.29269880056381226, 4.043462753295898, 1.7960582971572876, 3.623669147491455, 3.180046319961548, 2.2613871097564697, 4.229318618774414, 4.086016654968262, -1.5091350078582764, 2.369655132293701, 2.5164029598236084, 3.7111096382141113, 1.7003456354141235 ]
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[ 2.567338228225708, -0.6857399344444275, 0.08128102123737335, 4.092675685882568, 1.186031699180603, 0.6838923096656799, -0.6541303396224976, -0.5161464214324951, 1.2250370979309082, 0.6746994853019714, -0.5812620520591736, -1.5536742210388184, -1.9725946187973022, -1.1360689401626587, 3.038578987121582 ]
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[ 0.11858237534761429, 1.0047740936279297, -0.26123934984207153, 4.381941795349121, 1.9180136919021606, 0.7552063465118408, -0.6502903699874878, 0.4815188944339752, -0.5195983052253723, 3.6127939224243164, -1.7353289127349854, 2.408881425857544, 0.006222245283424854, -0.759464681148529, 1.8677349090576172 ]
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[ -0.21181729435920715, -1.6182551383972168, 0.8914166688919067, 4.228776931762695, 1.359757423400879, 2.343479633331299, 4.1394877433776855, -0.586085319519043, 1.5594333410263062, -0.030699800699949265, 2.9154443740844727, 0.015145784243941307, 3.453050136566162, 3.5524442195892334, -0.6037784814834595 ]
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[ 1.9146859645843506, 1.0558873414993286, 0.9951496124267578, 4.263285160064697, 1.5959298610687256, -0.4394264817237854, 3.4299607276916504, 3.5539710521698, -1.0844733715057373, 1.4207671880722046, 0.7829209566116333, 2.629791498184204, 2.1424107551574707, 1.2867636680603027, 0.37717026472091675 ]
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[ 1.1867018938064575, 0.38365980982780457, -0.35437166690826416, 4.262960910797119, 1.4404246807098389, 2.253035068511963, 0.3625522255897522, -1.3189809322357178, 3.85906720161438, 0.8262315392494202, -1.3262425661087036, 3.526846170425415, 0.590480625629425, -1.9903489351272583, 2.276576042175293 ]
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[ 2.892183780670166, -0.3728908896446228, 0.7660661339759827, 4.275859355926514, 1.1660207509994507, 2.0894134044647217, 2.3801145553588867, 0.22347687184810638, 3.4106128215789795, 2.79775071144104, 3.5095858573913574, 1.119555950164795, 3.3597683906555176, 2.311816692352295, 2.865314483642578 ]
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[ 1.6861311197280884, 1.871187448501587, -0.46980324387550354, 4.4689106941223145, 2.0800836086273193, 0.646709144115448, 0.6228858828544617, 3.4273838996887207, -1.9923523664474487, 0.5024213194847107, -0.29257285594940186, -0.4289264976978302, 0.009663404896855354, 4.431307315826416, 3.598980665206909 ]
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[ 1.8710116147994995, 0.37737035751342773, 0.4944194257259369, 4.073943614959717, 1.097572922706604, 2.1397695541381836, 3.1609230041503906, -0.889700710773468, -0.36751097440719604, 0.17543348670005798, 3.232672929763794, 2.7117974758148193, 2.0457262992858887, 0.41285479068756104, 0.9224098324775696 ]
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[ 2.7554640769958496, 1.299452543258667, 1.103813886642456, 4.283237934112549, 1.2609859704971313, -1.0377973318099976, 2.4406611919403076, 3.8581202030181885, -0.3637506663799286, 0.4997463822364807, -0.23430150747299194, 2.4241700172424316, 2.2068378925323486, 1.9821453094482422, 0.6524312496185303 ]
11
[ 0.5921620726585388, -0.13652221858501434, 2.026235342025757, 4.064157009124756, 1.6806244850158691, 1.1514991521835327, -1.5418795347213745, 4.105323314666748, 1.5496352910995483, 4.159718036651611, -1.8982175588607788, 3.4896256923675537, -1.909193515777588, 1.638858675956726, -0.35423800349235535 ]
11
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is_sparse/sparse15d

Dataset Description

This is a synthetic 15-dimensional classification dataset designed for sparse learning research. The dataset contains 3 classes and is specifically designed to have sparse optimal representations, where only a subset of features are informative for the classification task.

Dataset Summary

  • Variant: sparse15d
  • Features: 15 continuous features
  • Classes: 3
  • Entropy(Y): 1.4855
  • Mutual Information (joint): 1.1819
  • Maximum Achievable Accuracy: 0.8967

Dataset Structure

Data Instances

Each instance consists of:

  • data: A 15-dimensional feature vector (float32)
  • label: An integer class label (0, 1, or 2)

Data Splits

Split Number of Instances
Train Variable (see below)
Test Variable (see below)

Dataset Creation

This dataset was synthetically generated for research on sparse learning and optimal feature selection. The mutual information values between feature subsets and labels are provided in the metadata.

Mutual Information Structure

The dataset includes ground-truth mutual information values for various feature subsets, enabling:

  • Feature importance analysis
  • Information-theoretic learning algorithms
  • Benchmarking of MI estimation methods

Key MI values:

  • joint: 1.1819
  • 1: 0.3273
  • 1-2: 0.3273
  • 1-2-3: 0.6634
  • 1-2-3-4: 0.6634
  • 1-2-3-4-5: 1.1819
  • 1-2-3-5: 1.1819
  • 1-2-4: 0.3273
  • 1-2-4-5: 1.0492
  • 1-2-5: 1.0492

Citation

If you use this dataset, please cite the associated research paper (to be added).

License

MIT License

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