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Table 8 Classification in 2nd level unit between a feature and macro F-measure \({F}_{L}\) in n-grams and machine learning methods

From: Automated labeling of PDF mathematical exercises with word N-grams VSM classification

 

\(n=1\)

\(n=2\)

\(n=3\)

\(n=4\)

\(n=5\)

\(n=6\)

w2vec

Similarity (\({f}_{mean}\))

0.4046

0.4461

0.4288

0.4319

0.4190

0.4094

0.2459

Similarity (\({f}_{max}\))

0.5103

0.5573

0.5411

0.5153

0.4958

0.4723

0.4817

Similarity (\({f}_{to{p}_{2}}\))

0.5167

0.5616

0.5380

0.5216

0.4979

0.4725

0.4388

Similarity (\({f}_{to{p}_{3}}\))

0.4903

0.5380

0.5182

0.4974

0.4726

0.4589

0.3904

Similarity (\({f}_{to{p}_{4}}\))

0.4419

0.4933

0.4832

0.4666

0.4511

0.4395

0.3307

Similarity (\({f}_{to{p}_{5}}\))

0.2694

0.4082

0.4209

0.4323

0.4297

0.4263

0.1895

Similarity (\({f}_{to{p}_{6}}\))

0.2431

0.3376

0.3731

0.3968

0.4038

0.4150

0.1797

Similarity (\({f}_{to{p}_{7}}\))

0.2339

0.2905

0.3413

0.3675

0.3799

0.3994

0.1592

Similarity (\({f}_{to{p}_{8}}\))

0.2215

0.2649

0.3110

0.3485

0.3687

0.3927

0.1388

Similarity (\({f}_{to{p}_{9}}\))

0.1604

0.2310

0.2883

0.3283

0.3548

0.3847

0.0740

Similarity (\({f}_{to{p}_{10}}\))

0.1247

0.2061

0.2619

0.3061

0.3434

0.3789

0.0704

Similarity (\({f}_{ran{k}_{2}}\))

0.5275

0.5769

0.5462

0.5274

0.5018

0.4826

0.4661

Similarity (\({f}_{ran{k}_{3}}\))

0.5202

0.5703

0.5422

0.5273

0.5006

0.4772

0.4291

Similarity (\({f}_{ran{k}_{4}}\))

0.4914

0.5510

0.5253

0.5121

0.4828

0.4725

0.3919

Similarity (\({f}_{ran{k}_{5}}\))

0.4177

0.5179

0.5063

0.4917

0.4770

0.4620

0.2148

Similarity (\({f}_{ran{k}_{6}}\))

0.3283

0.4582

0.4770

0.4748

0.4634

0.4565

0.2050

Similarity (\({f}_{ran{k}_{7}}\))

0.2814

0.4250

0.4551

0.4640

0.4522

0.4476

0.1958

Similarity (\({f}_{ran{k}_{8}}\))

0.2552

0.3924

0.4267

0.4488

0.4414

0.4391

0.1829

Similarity (\({f}_{ran{k}_{9}}\))

0.2367

0.3609

0.4107

0.4259

0.4349

0.4317

0.1047

Similarity (\({f}_{ran{k}_{10}}\))

0.2113

0.3284

0.3878

0.4150

0.4247

0.4280

0.0862

xgb

0.0333

0.0150

0.0087

0.0036

0.0026

0.0014

0.0480

rf

0.6128

0.5967

0.5478

0.5151

0.4623

0.4128

0.4285

mlp

0.3919

0.5725

0.5999

0.6084

0.5950

0.5707

0.4377

lr

0.5858

0.5828

0.5752

0.5745

0.5499

0.5385

0.5922

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