DeleteAnomalies[{example1,example2,…}]
異常であるとみなされた exampleiが削除されたリストを与える.
DeleteAnomalies[LearnedDistribution[…],data]
指定されたAnomalyDetectorFunction[…]またはLearnedDistribution[…]を使って data の異常値を取り除く.
DeleteAnomalies
DeleteAnomalies[{example1,example2,…}]
異常であるとみなされた exampleiが削除されたリストを与える.
DeleteAnomalies[LearnedDistribution[…],data]
指定されたAnomalyDetectorFunction[…]またはLearnedDistribution[…]を使って data の異常値を取り除く.
詳細とオプション
- DeleteAnomaliesは,数値,名義,画像等のさまざまなデータ型に使うことができる.
- 各 exampleiは,単一のデータ要素,データ要素のリスト,あるいはデータ要素の連想でよい.例はDatasetオブジェクトまたはTabularオブジェクトとして与えることもできる.
- DeleteAnomaliesは,異常(つまり「分布から外れる」例)を検出するために,異常がないデータの分布をモデル化しようとする.例のRarerProbabilityがAcceptanceThresholdで指定された値よりも低いとき,その例は異常であるとみなされる.
- DeleteAnomalies[AnomalyDetectorFunction[…],data]の data が検出器の訓練例と同じ分布からのもののとき,AcceptanceThresholdは異常検出の偽陽性率に相当する.
- 次は,使用可能なオプションである.
-
AcceptanceThreshold 0.001 例を異常であるとみなすRarerProbability閾値 FeatureExtractor Identity 学習する特徴をどのように抽出するか FeatureNames Automatic 入力データに割り当てる特徴名 FeatureTypes Automatic 入力データに仮定する特徴タイプ Method Automatic どのモデリングアルゴリズムを使用するか PerformanceGoal Automatic 最適化するパフォーマンスの局面 RandomSeeding 1234 擬似乱数生成器の内部的シードをどのように行うか TimeGoal Automatic 検出器の訓練にどの程度の時間を費やするか TrainingProgressReporting Automatic 訓練中の進捗状況をどのように報告するか ValidationSet Automatic 訓練中にモデルの評価に使うデータ集合 - 次は,PerformanceGoalの可能な設定である.
-
"Quality" 検出器のモデリング品質を最高にする "Speed" 異常を検出するスピードを最高にする Automatic スピード,品質,メモリの自動トレードオフ {goal1,goal2,…} goal1,goal2等を自動的に結合する - Methodの可能な設定はLearnDistribution[…]で与えられるものと同じである.
- 次は,TrainingProgressReportingの使用可能な設定である.
-
"Panel" 動的に更新されるグラフィカルなパネルを表示する "Print" Printを使って定期的に情報を報告する "ProgressIndicator" 単純なProgressIndicatorを表示する "SimplePanel" 学習曲線なしでパネルを動的に更新する None 情報は何も報告しない - DeleteAnomalies[…,FeatureExtractor"Minimal"]は,内部的な前処理ができるだけ簡単に行われるべきであることを示す.
例題
すべて開く すべて閉じる例 (3)
DeleteAnomalies[{1.2, 2.5, 3.2, 100, 4.6, 5, 5.1}]DeleteAnomalies[{{"A", 1}, {"A", 1.1}, {"B", 2}, {"B", 2.5}, {"C", 3}, {"C", 4}, {"C", 4.5}, {"C", 20}}]DeleteAnomalies[{RGBColor[1, 0, 0], RGBColor[0, 0, 1], RGBColor[0, 1, 0], RGBColor[0.5659592309624889, 0.9770206495502198, 0.9985863063171145], RGBColor[0.3754327846016599, 0.7732937679156299, 0.9934076415002092], RGBColor[0.6161706939425584, -0.14481564113292222, 1.00353426972292], RGBColor[0.41787305847097933, 0.7295653444285688, 0.9971213930223727], RGBColor[0.38756575689146133, 0.8557000434145627, 0.9985713784934372], RGBColor[0.7237746394462758, 0.6864615128156799, 1.0049558953085165], RGBColor[0.4930933634567368, 1.0123748348501285, 0.9922647112874262], RGBColor[0.5083906475863398, 0.23671687553023163, 0.9933475855880759], RGBColor[0.5356308588856586, 0.9101219694870664, 0.9954192657779505], RGBColor[0.35371315176390594, 0.49763789511715706, 0.9991939268536737], RGBColor[0.5774616748672672, 0.43906208545640635, 1.0027712315253168], RGBColor[0.8301864069760181, 0.5690019228798344, 1.0080380129216597], RGBColor[0.7252770979304081, 0.6865831707732285, 0.9933529799272527], RGBColor[0.40911415636021287, 0.7226193316264145, 0.9966957402415179], RGBColor[0.8482079770014748, 0.8501425937052987, 0.9984394751245201], RGBColor[0.46509466164008856, 0.6496001687112135, 0.9943044940805594], RGBColor[0.5223381695947401, 0.9492448201228033, 0.9909519535914891], RGBColor[0.4056317599258231, 0.5979537199100144, 0.9960609147027923], RGBColor[0.5681282152142627, 0.6145506274472882, 0.9942053386481897], RGBColor[0.7340135990764531, 0.7363032159353553, 1.0051356464686494], RGBColor[0.568680351544366, 0.8178935615276761, 0.9972973909156875], RGBColor[0.8782992044353817, 0.5676721429387377, 0.9976822312013324], RGBColor[0.8912340489623893, 0.7418023277818317, 1.0056537818949918], RGBColor[0.5024620333700911, 0.5047283647090592, 0.9983530694802806], RGBColor[0.8078717924205181, 0.653899537453991, 0.9975680282006709], RGBColor[0.5263860266188425, 0.8891481475122383, 0.9967074371571546], RGBColor[0.4509497768400042, 0.9746743907386307, 0.9921412365780125], RGBColor[0.36709487152223774, 0.7030260587378026, 0.990996524067415], RGBColor[0.3486258167177018, 0.8782565717625381, 0.9924313945690186], RGBColor[0.2362783021030173, 1.0366668357638806, 0.9920321150148772], RGBColor[0.5037753263210084, 1.1372490894202187, 0.9970364159364161], RGBColor[0.48515674347257165, 0.623438767322434, 0.9987062896640942], RGBColor[0.309752273104561, 0.5516216087074916, 0.9979006130216704], RGBColor[0.791886226973098, 0.8555278868479104, 0.9964013988720439], RGBColor[0.36489380887741857, 0.6538971286146514, 0.9947083539138546], RGBColor[0.5788067899336176, 0.518500061180151, 1.0059894700291705], RGBColor[0.7591973658560403, 0.32754424645484553, 1.0031595845968302], RGBColor[0.611080929102045, 0.6093006791401225, 0.9968229964712378], RGBColor[0.7071196306427605, 0.6017237761211243, 1.002238791867162], RGBColor[0.607800621747923, 0.688729617245539, 0.9948471916926879], RGBColor[0.5228212118948214, 0.9621391171030302, 0.9989102310042973], RGBColor[0.4034263843628224, 0.6961712245533224, 0.9945334634229808], RGBColor[0.4624897911143086, 1.0117646816528425, 0.9976308623651218], RGBColor[0.22546551277377974, 0.49968908858854955, 0.9892293741848242], RGBColor[0.39610094617200603, 0.6406324106874157, 0.9958241193542212], RGBColor[0.2980675811368619, 0.7367494980194614, 0.9938982243446775], RGBColor[0.366116364693152, 0.5879590062582961, 0.9971279176250676], RGBColor[0.7627350568599146, 0.8758122841547133, 1.0006254489536797], RGBColor[0.5606336793064048, 0.7364374406357912, 0.9976736921570344], RGBColor[0.611217969265626, 0.4461420579128267, 0.9902433094513072], RGBColor[0.7156569387180267, 0.7123170061839005, 0.9962110198471927], RGBColor[0.6791440275858908, 0.9777377725744023, 0.9993352675306073], RGBColor[0.7535427926452951, 0.8140291014876614, 0.9999779030671445], RGBColor[0.4224730449691919, 0.7048172988308568, 1.000218197645998], RGBColor[1.0831053391201486, 0.5162623535933131, 1.0053053485793753], RGBColor[0.5908326301132645, 0.9331899955428621, 0.9993293758777952], RGBColor[0.4084175124285697, 0.5030906121830307, 0.9934012321919623], RGBColor[0.5906929070515831, 0.774539136049385, 1.0013136342783098], RGBColor[0.7279592862294082, 0.808024376838693, 0.990598201263683], RGBColor[0.4526619806424369, 0.8572369865359456, 0.992027772161482], RGBColor[0.6116378507223711, 0.9692792232881027, 1.0007282546056637], RGBColor[0.6728030121309461, 0.6159945503679183, 0.999994265026891], RGBColor[0.6187262817015476, 0.38329666431149445, 0.9983959873247816], RGBColor[0.5537139731404712, 1.00220867269463, 0.9971841114269797], RGBColor[0.5824929564854407, 0.8568652855691417, 0.9978052285631961], RGBColor[0.6467916416926835, 0.6989278893033707, 1.0040647924000072], RGBColor[0.4715405812654946, 0.48471583692401254, 0.9919917090290089], RGBColor[0.7501337350307926, 0.5478514012539901, 1.0001675930894274], RGBColor[0.7935860581270134, 0.0865495328323066, 1.0003613958535735], RGBColor[0.6957752871650936, 0.6750985254752383, 1.0028749839459759], RGBColor[0.5286599401622628, 0.752375592353536, 0.9924914932179304], RGBColor[0.7803166955792776, 0.6640679089392894, 1.0007720191828262], RGBColor[0.8149567117022473, 0.9107449749917345, 1.0018847201660235], RGBColor[0.28687387932890723, 0.5251822879837312, 1.0048453553240377], RGBColor[0.6339138155603266, 0.9499413635111722, 0.9957923550554846], RGBColor[0.6195935090234708, 0.9104921054525388, 0.9993262188604629], RGBColor[0.629437512360706, 0.7836610961087073, 0.9969560811106394], RGBColor[0.9539599691655274, 0.5727469496664113, 1.005124666562766], RGBColor[0.461135511071761, 0.7047561907538, 0.9971199066160322], RGBColor[0.6114235548448876, 1.052922842230812, 1.0000460379208387], RGBColor[0.8353121161086462, 0.4688421901010138, 1.0009262851959584], RGBColor[0.46781661731476154, 1.1396495538311269, 0.9890405978905257], RGBColor[0.8292770313746848, 0.4360701445302748, 1.0009047584693789], RGBColor[0.5170804874340198, 1.064408222280961, 1.0012411854402568], RGBColor[0.7650765408336083, 0.36936107116122646, 0.9945172422937401], RGBColor[0.45119945401989625, 0.856693556198354, 0.9957778134338929], RGBColor[0.39761045159524083, 0.6933289418577382, 0.9976912701802133], RGBColor[0.8159235329521966, 0.4299485471655765, 0.9984939390404028], RGBColor[0.357164361739695, 0.7217436860994018, 0.9966322520929208], RGBColor[0.5610070009904424, 0.8699407233165275, 0.9982375345503843], RGBColor[0.3854123195663661, 0.9861016334439296, 0.9907281406060822], RGBColor[0.6412771660095753, 0.5406870672701729, 1.0025080649577107], RGBColor[0.9426674051744555, 0.8144838170656485, 1.004881312262141], RGBColor[0.443342731164991, 0.8970900892291637, 0.9970488025463211], RGBColor[0.41572227417341934, 0.7900666387545331, 0.9906429085451064], RGBColor[0.6004982532903719, 1.0116685653582027, 0.9998841040044251], RGBColor[0.47986941698642815, 0.7665862166936707, 1.0001696262621942], RGBColor[0.7321221274856494, 0.7850360738337789, 0.9947731915575051], RGBColor[0.9012009151280851, 0.5175692646620489, 0.9983446734037713], RGBColor[0.7035730534656404, 0.46501229404822697, 0.9990571252937068]}]スコープ (3)
擬似実数乱数の二次元配列でAnomalyDetectorFunctionを訓練する:
ad = AnomalyDetection[RandomReal[1, {20, 2}]]訓練済みのAnomalyDetectorFunctionをDeleteAnomaliesと一緒に使って異常な例を除去する:
DeleteAnomalies[ad, {{5, 0.6}, {0.3, 0.5}, {0.1, 0.2}, {5, 0.6}}]Tabularオブジェクトから異常値を削除する:
DeleteAnomalies@Tabular[Association["RawSchema" -> Association["ColumnProperties" ->
Association["Value" -> Association["ElementType" -> "NumberExpression"]],
"KeyColumns" -> None, "Backend" -> "WolframKernel"], "Options" -> {},
"BackendData" -> Association["ColumnData" -> DataStructure["ColumnTable",
{{TabularColumn[Association["Data" -> {{-0.7, -0.3288, -0.515, -0.67, -0.17, 0.4, 100}, {},
None}, "ElementType" -> "NumberExpression"]]}}]]]]画像の訓練と検証のデータ集合のランダムなサンプルを入手する:
SeedRandom[123];
cifarsample = RandomSample[ResourceData["CIFAR-10"], 5000][[All, 1]];
{test, train} = TakeDrop[cifarsample, 100];
RandomSample[train, 10]traincorup = Flatten[Join[Table[RandomImage[1, {12, 12}], 4], train ], 1];
testcorup = Flatten[Join[Table[RandomImage[1, {12, 12}], 4], test], 1]ldi = LearnDistribution[traincorup, PerformanceGoal -> "Quality"]DeleteAnomalies[ldi, testcorup]オプション (2)
AcceptanceThreshold (1)
色のリストからの異常値の削除にAcceptanceThresholdを指定する:
DeleteAnomalies[{RGBColor[1, 0, 0], RGBColor[0, 0, 1], RGBColor[0, 1, 0], RGBColor[0.5659592309624889, 0.9770206495502198, 0.9985863063171145], RGBColor[0.3754327846016599, 0.7732937679156299, 0.9934076415002092], RGBColor[0.6161706939425584, -0.14481564113292222, 1.00353426972292], RGBColor[0.41787305847097933, 0.7295653444285688, 0.9971213930223727], RGBColor[0.38756575689146133, 0.8557000434145627, 0.9985713784934372], RGBColor[0.7237746394462758, 0.6864615128156799, 1.0049558953085165], RGBColor[0.4930933634567368, 1.0123748348501285, 0.9922647112874262], RGBColor[0.5083906475863398, 0.23671687553023163, 0.9933475855880759], RGBColor[0.5356308588856586, 0.9101219694870664, 0.9954192657779505], RGBColor[0.35371315176390594, 0.49763789511715706, 0.9991939268536737], RGBColor[0.5774616748672672, 0.43906208545640635, 1.0027712315253168], RGBColor[0.8301864069760181, 0.5690019228798344, 1.0080380129216597], RGBColor[0.7252770979304081, 0.6865831707732285, 0.9933529799272527], RGBColor[0.40911415636021287, 0.7226193316264145, 0.9966957402415179], RGBColor[0.8482079770014748, 0.8501425937052987, 0.9984394751245201], RGBColor[0.46509466164008856, 0.6496001687112135, 0.9943044940805594], RGBColor[0.5223381695947401, 0.9492448201228033, 0.9909519535914891], RGBColor[0.4056317599258231, 0.5979537199100144, 0.9960609147027923], RGBColor[0.5681282152142627, 0.6145506274472882, 0.9942053386481897], RGBColor[0.7340135990764531, 0.7363032159353553, 1.0051356464686494], RGBColor[0.568680351544366, 0.8178935615276761, 0.9972973909156875], RGBColor[0.8782992044353817, 0.5676721429387377, 0.9976822312013324], RGBColor[0.8912340489623893, 0.7418023277818317, 1.0056537818949918], RGBColor[0.5024620333700911, 0.5047283647090592, 0.9983530694802806], RGBColor[0.8078717924205181, 0.653899537453991, 0.9975680282006709], RGBColor[0.5263860266188425, 0.8891481475122383, 0.9967074371571546], RGBColor[0.4509497768400042, 0.9746743907386307, 0.9921412365780125], RGBColor[0.36709487152223774, 0.7030260587378026, 0.990996524067415], RGBColor[0.3486258167177018, 0.8782565717625381, 0.9924313945690186], RGBColor[0.2362783021030173, 1.0366668357638806, 0.9920321150148772], RGBColor[0.5037753263210084, 1.1372490894202187, 0.9970364159364161], RGBColor[0.48515674347257165, 0.623438767322434, 0.9987062896640942], RGBColor[0.309752273104561, 0.5516216087074916, 0.9979006130216704], RGBColor[0.791886226973098, 0.8555278868479104, 0.9964013988720439], RGBColor[0.36489380887741857, 0.6538971286146514, 0.9947083539138546], RGBColor[0.5788067899336176, 0.518500061180151, 1.0059894700291705], RGBColor[0.7591973658560403, 0.32754424645484553, 1.0031595845968302], RGBColor[0.611080929102045, 0.6093006791401225, 0.9968229964712378], RGBColor[0.7071196306427605, 0.6017237761211243, 1.002238791867162], RGBColor[0.607800621747923, 0.688729617245539, 0.9948471916926879], RGBColor[0.5228212118948214, 0.9621391171030302, 0.9989102310042973], RGBColor[0.4034263843628224, 0.6961712245533224, 0.9945334634229808], RGBColor[0.4624897911143086, 1.0117646816528425, 0.9976308623651218], RGBColor[0.22546551277377974, 0.49968908858854955, 0.9892293741848242], RGBColor[0.39610094617200603, 0.6406324106874157, 0.9958241193542212], RGBColor[0.2980675811368619, 0.7367494980194614, 0.9938982243446775], RGBColor[0.366116364693152, 0.5879590062582961, 0.9971279176250676], RGBColor[0.7627350568599146, 0.8758122841547133, 1.0006254489536797], RGBColor[0.5606336793064048, 0.7364374406357912, 0.9976736921570344], RGBColor[0.611217969265626, 0.4461420579128267, 0.9902433094513072], RGBColor[0.7156569387180267, 0.7123170061839005, 0.9962110198471927], RGBColor[0.6791440275858908, 0.9777377725744023, 0.9993352675306073], RGBColor[0.7535427926452951, 0.8140291014876614, 0.9999779030671445], RGBColor[0.4224730449691919, 0.7048172988308568, 1.000218197645998], RGBColor[1.0831053391201486, 0.5162623535933131, 1.0053053485793753], RGBColor[0.5908326301132645, 0.9331899955428621, 0.9993293758777952], RGBColor[0.4084175124285697, 0.5030906121830307, 0.9934012321919623], RGBColor[0.5906929070515831, 0.774539136049385, 1.0013136342783098], RGBColor[0.7279592862294082, 0.808024376838693, 0.990598201263683], RGBColor[0.4526619806424369, 0.8572369865359456, 0.992027772161482], RGBColor[0.6116378507223711, 0.9692792232881027, 1.0007282546056637], RGBColor[0.6728030121309461, 0.6159945503679183, 0.999994265026891], RGBColor[0.6187262817015476, 0.38329666431149445, 0.9983959873247816], RGBColor[0.5537139731404712, 1.00220867269463, 0.9971841114269797], RGBColor[0.5824929564854407, 0.8568652855691417, 0.9978052285631961], RGBColor[0.6467916416926835, 0.6989278893033707, 1.0040647924000072], RGBColor[0.4715405812654946, 0.48471583692401254, 0.9919917090290089], RGBColor[0.7501337350307926, 0.5478514012539901, 1.0001675930894274], RGBColor[0.7935860581270134, 0.0865495328323066, 1.0003613958535735], RGBColor[0.6957752871650936, 0.6750985254752383, 1.0028749839459759], RGBColor[0.5286599401622628, 0.752375592353536, 0.9924914932179304], RGBColor[0.7803166955792776, 0.6640679089392894, 1.0007720191828262], RGBColor[0.8149567117022473, 0.9107449749917345, 1.0018847201660235], RGBColor[0.28687387932890723, 0.5251822879837312, 1.0048453553240377], RGBColor[0.6339138155603266, 0.9499413635111722, 0.9957923550554846], RGBColor[0.6195935090234708, 0.9104921054525388, 0.9993262188604629], RGBColor[0.629437512360706, 0.7836610961087073, 0.9969560811106394], RGBColor[0.9539599691655274, 0.5727469496664113, 1.005124666562766], RGBColor[0.461135511071761, 0.7047561907538, 0.9971199066160322], RGBColor[0.6114235548448876, 1.052922842230812, 1.0000460379208387], RGBColor[0.8353121161086462, 0.4688421901010138, 1.0009262851959584], RGBColor[0.46781661731476154, 1.1396495538311269, 0.9890405978905257], RGBColor[0.8292770313746848, 0.4360701445302748, 1.0009047584693789], RGBColor[0.5170804874340198, 1.064408222280961, 1.0012411854402568], RGBColor[0.7650765408336083, 0.36936107116122646, 0.9945172422937401], RGBColor[0.45119945401989625, 0.856693556198354, 0.9957778134338929], RGBColor[0.39761045159524083, 0.6933289418577382, 0.9976912701802133], RGBColor[0.8159235329521966, 0.4299485471655765, 0.9984939390404028], RGBColor[0.357164361739695, 0.7217436860994018, 0.9966322520929208], RGBColor[0.5610070009904424, 0.8699407233165275, 0.9982375345503843], RGBColor[0.3854123195663661, 0.9861016334439296, 0.9907281406060822], RGBColor[0.6412771660095753, 0.5406870672701729, 1.0025080649577107], RGBColor[0.9426674051744555, 0.8144838170656485, 1.004881312262141], RGBColor[0.443342731164991, 0.8970900892291637, 0.9970488025463211], RGBColor[0.41572227417341934, 0.7900666387545331, 0.9906429085451064], RGBColor[0.6004982532903719, 1.0116685653582027, 0.9998841040044251], RGBColor[0.47986941698642815, 0.7665862166936707, 1.0001696262621942], RGBColor[0.7321221274856494, 0.7850360738337789, 0.9947731915575051], RGBColor[0.9012009151280851, 0.5175692646620489, 0.9983446734037713], RGBColor[0.7035730534656404, 0.46501229404822697, 0.9990571252937068]}, AcceptanceThreshold -> 0.5]Method (1)
data = Join[RandomVariate[NormalDistribution[-1, 0.5], 70], RandomVariate[ChiDistribution[6], 2]]データ集合中の異常値を"Multinormal"メソッドを使って削除する:
DeleteAnomalies[data, Method -> "Multinormal"]データ集合中の異常値を"KernelDensityEstimation"メソッドを使って削除する:
DeleteAnomalies[data, Method -> "KernelDensityEstimation"]アプリケーション (4)
Mean[{1.2, 2.2, 3.4, 4.1, 200, 5.7, 6, 7, 8, 8.3}]Mean[DeleteAnomalies[{1.2, 2.2, 3.4, 4.1, 200, 5.7, 6, 7, 8, 8.3}]]data = {2, 1, 3, 100, 2, 1, 2, 1000, 6, 2, 5, 8, 15};
ListLinePlot[data, PlotRange -> All]ListLinePlot[DeleteAnomalies[data]]data = {{0, 1}, {1, 0}, {3, 2}, {5, 4}, {6, 7}, {200, 8}};LinearModelFit[data, x, x]LinearModelFit[DeleteAnomalies[data], x, x]train = RandomSample[ResourceData["MNIST", "TrainingData"][[All, 1]], 30000];RandomSample[train, 10]ad = AnomalyDetection[train, Method -> "Multinormal"]DeleteAnomalies[ad, {[image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image], [image]}]関連するガイド
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▪
- データの変換と平滑化 ▪
- 教師なし機械学習 ▪
- 表形式データのクリーニング
テキスト
Wolfram Research (2019), DeleteAnomalies, Wolfram言語関数, https://reference.wolfram.com/language/ref/DeleteAnomalies.html (2025年に更新).
CMS
Wolfram Language. 2019. "DeleteAnomalies." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/DeleteAnomalies.html.
APA
Wolfram Language. (2019). DeleteAnomalies. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DeleteAnomalies.html
BibTeX
@misc{reference.wolfram_2026_deleteanomalies, author="Wolfram Research", title="{DeleteAnomalies}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/DeleteAnomalies.html}", note=[Accessed: 14-September-2026]}
BibLaTeX
@online{reference.wolfram_2026_deleteanomalies, organization={Wolfram Research}, title={DeleteAnomalies}, year={2025}, url={https://reference.wolfram.com/language/ref/DeleteAnomalies.html}, note=[Accessed: 14-September-2026]}