df3ec5b6fb6221a16c80b622f1393f6b s10994-024-06654-4.pdf ab1f84fc03fb2504d20a98e21fb5985f3f8a72f3 s10994-024-06654-4.pdf 2e72e248a83c3abfb26962cbc3303892eb21d3728a882e2ab49ea508c4208b08 s10994-024-06654-4.pdf Title: Adapting performance metrics for ordinal classification to interval scale: length matters Subject: Machine Learning, https://doi.org/10.1007/s10994-024-06654-4 Keywords: Ordinal classification; Interval-scale classification; Performance metrics; Cost-sensitive metrics; Hyper-parameter tuning Author: Giulia Binotto Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Thu Jan 23 17:19:41 2025 CET ModDate: Mon Feb 10 22:44:59 2025 CET Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: AcroForm JavaScript: no Pages: 49 Encrypted: no Page size: 439.37 x 666.142 pts Page rot: 0 File size: 3429988 bytes Optimized: yes PDF version: 1.4 name type encoding emb sub uni object ID ------------------------------------ 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1C Custom yes yes no 4198 0 KGUTKJ+STIXMath-Italic23 Type 1C Custom yes yes no 4165 0 HIJSUP+STIXGeneral-Italic109 Type 1C Custom yes yes no 4174 0 HIJSUP+STIXGeneral-Italic110 Type 1C Custom yes yes no 4176 0 KGUTKJ+STIXMath-Italic24 Type 1C Custom yes yes no 4177 0 XCITKJ+STIXGeneral-Regular61 Type 1C Custom yes yes no 4181 0 XCITKJ+STIXGeneral-Regular62 Type 1C Custom yes yes no 4191 0 HIJSUP+STIXGeneral-Italic111 Type 1C Custom yes yes no 4189 0 WDTNWL+STIXMath-Regular62 Type 1C Custom yes yes yes 4178 0 LOUZOH+CMSY108 Type 1C Custom yes yes no 4203 0 XCITKJ+STIXGeneral-Regular63 Type 1C Custom yes yes no 4204 0 XCITKJ+STIXGeneral-Regular64 Type 1C Custom yes yes no 4205 0 LOUZOH+CMSY109 Type 1C Custom yes yes no 4208 0 XCITKJ+STIXGeneral-Regular65 Type 1C Custom yes yes no 4206 0 KGUTKJ+STIXMath-Italic25 Type 1C Custom yes yes yes 4207 0 XCITKJ+STIXGeneral-Regular66 Type 1C Custom yes yes no 4210 0 JLIJWL+STIXMathExtensions-Regular15 Type 1C Custom yes yes no 4209 0 HIJSUP+STIXGeneral-Italic112 Type 1C Custom yes yes no 4232 0 XCITKJ+STIXGeneral-Regular67 Type 1C Custom yes yes no 4230 0 HIJSUP+STIXGeneral-Italic113 Type 1C Custom yes yes no 4216 0 HIJSUP+STIXGeneral-Italic114 Type 1C Custom yes yes no 4238 0 XCITKJ+STIXGeneral-Regular68 Type 1C Custom yes yes no 4239 0 HIJSUP+STIXGeneral-Italic115 Type 1C Custom yes yes no 4223 0 KGUTKJ+STIXMath-Italic26 Type 1C Custom yes yes yes 4222 0 HIJSUP+STIXGeneral-Italic116 Type 1C Custom yes yes no 4234 0 HIJSUP+STIXGeneral-Italic117 Type 1C Custom yes yes no 4225 0 HIJSUP+STIXGeneral-Italic118 Type 1C Custom yes yes no 4218 0 HIJSUP+STIXGeneral-Italic119 Type 1C Custom yes yes no 4242 0 WDTNWL+STIXMath-Regular63 Type 1C Custom yes yes yes 4236 0 XCITKJ+STIXGeneral-Regular69 Type 1C Custom yes yes no 4237 0 XCITKJ+STIXGeneral-Regular70 Type 1C Custom yes yes no 4241 0 HIJSUP+STIXGeneral-Italic120 Type 1C Custom yes yes no 4220 0 XCITKJ+STIXGeneral-Regular71 Type 1C Custom yes yes no 4224 0 HIJSUP+STIXGeneral-Italic121 Type 1C Custom yes yes no 4226 0 IMTYIN+STIXGeneral-Regular72 Type 1C Custom yes yes no 4228 0 IMTYIN+STIXGeneral-Bold2 Type 1C Custom yes yes no 4229 0 XCITKJ+STIXGeneral-Regular73 Type 1C Custom yes yes no 4231 0 HIJSUP+STIXGeneral-Italic122 Type 1C Custom yes yes no 4245 0 HIJSUP+STIXGeneral-Italic123 Type 1C Custom yes yes no 4253 0 WDTNWL+STIXMath-Regular64 Type 1C Custom yes yes yes 4247 0 JLIJWL+STIXMathExtensions-Regular16 Type 1C Custom yes yes yes 4255 0 XCITKJ+STIXGeneral-Regular74 Type 1C Custom yes yes no 4248 0 HIJSUP+STIXGeneral-Italic124 Type 1C Custom yes yes no 4260 0 HIJSUP+STIXGeneral-Italic125 Type 1C Custom yes yes no 4261 0 KGUTKJ+STIXMath-Italic27 Type 1C Custom yes yes yes 4259 0 WDTNWL+STIXMath-Regular65 Type 1C Custom yes yes yes 4268 0 IMTYIN+STIXGeneral-Regular75 Type 1C Custom yes yes no 4269 0 HIJSUP+STIXGeneral-Italic126 Type 1C Custom yes yes no 4263 0 XCITKJ+STIXGeneral-Regular76 Type 1C Custom yes yes no 4273 0 WDTNWL+STIXMath-Regular66 Type 1C Custom yes yes yes 4299 0 XCITKJ+STIXGeneral-Regular77 Type 1C Custom yes yes no 4276 0 HIJSUP+STIXGeneral-Italic127 Type 1C Custom yes yes no 4267 0 JLIJWL+STIXMathExtensions-Regular17 Type 1C Custom yes yes yes 4277 0 HIJSUP+STIXGeneral-Italic128 Type 1C Custom yes yes no 4270 0 HIJSUP+STIXGeneral-Italic129 Type 1C Custom yes yes no 4296 0 HIJSUP+STIXGeneral-Italic130 Type 1C Custom yes yes no 4297 0 XCITKJ+STIXGeneral-Regular78 Type 1C Custom yes yes no 4288 0 XCITKJ+STIXGeneral-Regular79 Type 1C Custom yes yes no 4290 0 XCITKJ+STIXGeneral-Regular80 Type 1C Custom yes yes no 4272 0 HIJSUP+STIXGeneral-Italic131 Type 1C Custom yes yes no 4295 0 XCITKJ+STIXGeneral-Regular81 Type 1C Custom yes yes no 4274 0 HIJSUP+STIXGeneral-Italic132 Type 1C Custom yes yes no 4279 0 WDTNWL+STIXMath-Regular67 Type 1C Custom yes yes yes 4291 0 HIJSUP+STIXGeneral-Italic133 Type 1C Custom yes yes no 4262 0 WDTNWL+STIXMath-Regular68 Type 1C Custom yes yes yes 4292 0 HIJSUP+STIXGeneral-Italic134 Type 1C Custom yes yes no 4293 0 WDTNWL+STIXMath-Regular69 Type 1C Custom yes yes yes 4301 0 XCITKJ+STIXGeneral-Regular82 Type 1C Custom yes yes no 4318 0 HIJSUP+STIXGeneral-Italic135 Type 1C Custom yes yes no 4312 0 WDTNWL+STIXMath-Regular70 Type 1C Custom yes yes yes 4317 0 HIJSUP+STIXGeneral-Italic136 Type 1C Custom yes yes no 4302 0 KGUTKJ+STIXMath-Italic28 Type 1C Custom yes yes no 4313 0 HIJSUP+STIXGeneral-Italic137 Type 1C Custom yes yes no 4304 0 WDTNWL+STIXMath-Regular71 Type 1C Custom yes yes yes 4315 0 HIJSUP+STIXGeneral-Italic138 Type 1C Custom yes yes no 4316 0 WDTNWL+STIXMath-Regular72 Type 1C Custom yes yes yes 4305 0 HIJSUP+STIXGeneral-Italic139 Type 1C Custom yes yes no 4306 0 HIJSUP+STIXGeneral-Italic140 Type 1C Custom yes yes no 4307 0 HIJSUP+STIXGeneral-Italic141 Type 1C Custom yes yes no 4308 0 XCITKJ+STIXGeneral-Regular83 Type 1C Custom yes yes no 4330 0 KGUTKJ+STIXMath-Italic29 Type 1C Custom yes yes yes 4339 0 HIJSUP+STIXGeneral-Italic142 Type 1C Custom yes yes no 4331 0 WDTNWL+STIXMath-Regular73 Type 1C Custom yes yes yes 4332 0 XCITKJ+STIXGeneral-Regular84 Type 1C Custom yes yes no 4340 0 HIJSUP+STIXGeneral-Italic143 Type 1C Custom yes yes no 4333 0 HIJSUP+STIXGeneral-Italic144 Type 1C Custom yes yes no 4341 0 KGUTKJ+STIXMath-Italic30 Type 1C Custom yes yes yes 4334 0 KGUTKJ+STIXMath-Italic31 Type 1C Custom yes yes no 4335 0 KGUTKJ+STIXMath-Italic32 Type 1C Custom yes yes no 4336 0 HIJSUP+STIXGeneral-Italic145 Type 1C Custom yes yes no 4338 0 WDTNWL+STIXMath-Regular74 Type 1C Custom yes yes yes 4358 0 HIJSUP+STIXGeneral-Italic146 Type 1C Custom yes yes no 4348 0 WDTNWL+STIXMath-Regular75 Type 1C Custom yes yes yes 4349 0 XCITKJ+STIXGeneral-Regular85 Type 1C Custom yes yes no 4369 0 WDTNWL+STIXMath-Regular76 Type 1C Custom yes yes yes 4347 0 HIJSUP+STIXGeneral-Italic147 Type 1C Custom yes yes no 4359 0 KGUTKJ+STIXMath-Italic33 Type 1C Custom yes yes no 4355 0 HIJSUP+STIXGeneral-Italic148 Type 1C Custom yes yes no 4360 0 HIJSUP+STIXGeneral-Italic149 Type 1C Custom yes yes no 4353 0 HIJSUP+STIXGeneral-Italic150 Type 1C Custom yes yes no 4371 0 HIJSUP+STIXGeneral-Italic151 Type 1C Custom yes yes no 4361 0 KCHTAJ+STIXMathScript-Regular4 Type 1C Custom yes yes yes 4364 0 HIJSUP+STIXGeneral-Italic152 Type 1C Custom yes yes no 4368 0 KGUTKJ+STIXMath-Italic34 Type 1C Custom yes yes no 4354 0 HIJSUP+STIXGeneral-Italic153 Type 1C Custom yes yes no 4366 0 WDTNWL+STIXMath-Regular77 Type 1C Custom yes yes yes 4367 0 XCITKJ+STIXGeneral-Regular86 Type 1C Custom yes yes no 4343 0 HIJSUP+STIXGeneral-Italic154 Type 1C Custom yes yes no 4344 0 WDTNWL+STIXMath-Regular78 Type 1C Custom yes yes yes 4379 0 JLIJWL+STIXMathExtensions-Regular18 Type 1C Custom yes yes yes 4376 0 XCITKJ+STIXGeneral-Regular87 Type 1C Custom yes yes no 4375 0 XCITKJ+STIXGeneral-Regular88 Type 1C Custom yes yes no 4374 0 HIJSUP+STIXGeneral-Italic155 Type 1C Custom yes yes no 4380 0 HIJSUP+STIXGeneral-Italic156 Type 1C Custom yes yes no 4373 0 KGUTKJ+STIXMath-Italic35 Type 1C Custom yes yes no 4392 0 HIJSUP+STIXGeneral-Italic157 Type 1C Custom yes yes no 4386 0 WDTNWL+STIXMath-Regular79 Type 1C Custom yes yes yes 4389 0 JLIJWL+STIXMathExtensions-Regular19 Type 1C Custom yes yes yes 4390 0 XCITKJ+STIXGeneral-Regular89 Type 1C Custom yes yes no 4387 0 XCITKJ+STIXGeneral-Regular90 Type 1C Custom yes yes no 4388 0 HIJSUP+STIXGeneral-Italic158 Type 1C Custom yes yes no 4391 0 JLIJWL+STIXMathExtensions-Regular20 Type 1C Custom yes yes no 4393 0 KGUTKJ+STIXMath-Italic36 Type 1C Custom yes yes no 4394 0 HPHCKP+STIXGeneral-Italic159 Type 1C Custom yes yes no 4395 0 HPHCKP+STIXGeneral-Italic160 Type 1C Custom yes yes no 4396 0 GQSWWR+STIXGeneral-Regular91 Type 1C Custom yes yes no 4397 0 KGUTKJ+STIXMath-Italic37 Type 1C Custom yes yes yes 4398 0 HPHCKP+STIXGeneral-Italic161 Type 1C Custom yes yes no 4399 0 KGUTKJ+STIXMath-Italic38 Type 1C Custom yes yes yes 4415 0 JLIJWL+STIXMath-Regular80 Type 1C Custom yes yes no 4414 0 GQSWWR+STIXGeneral-Regular92 Type 1C Custom yes yes no 4422 0 GQSWWR+STIXGeneral-Regular93 Type 1C Custom yes yes no 4423 0 GQSWWR+STIXGeneral-Regular94 Type 1C Custom yes yes no 4417 0 GQSWWR+STIXGeneral-Regular95 Type 1C Custom yes yes no 4424 0 HPHCKP+STIXGeneral-Italic162 Type 1C Custom yes yes no 4413 0 HPHCKP+STIXGeneral-Italic163 Type 1C Custom yes yes no 4402 0 GQSWWR+STIXGeneral-Regular96 Type 1C Custom yes yes no 4403 0 KGUTKJ+STIXMath-Italic39 Type 1C Custom yes yes no 4451 0 HIJSUP+STIXGeneral-Italic164 Type 1C Custom yes yes no 4450 0 WDTNWL+STIXMath-Regular81 Type 1C Custom yes yes yes 4452 0 XCITKJ+STIXGeneral-Regular97 Type 1C Custom yes yes no 4459 0 HIJSUP+STIXGeneral-Italic165 Type 1C Custom yes yes no 4453 0 HIJSUP+STIXGeneral-Italic166 Type 1C Custom yes yes no 4447 0 LOUZOH+CMSY1010 Type 1C Custom yes yes no 4458 0 LIDVOH+MyriadPro-BoldSemiCnIt Type 1C Custom yes yes no 4454 0 JLIJWL+STIXMath-Regular82 Type 1C Custom yes yes no 4448 0 KETPAJ+MyriadPro-BoldSemiCn2 Type 1C Custom yes yes no 4449 0 XCITKJ+STIXGeneral-Regular98 Type 1C Custom yes yes no 4455 0 HIJSUP+STIXGeneral-Italic167 Type 1C Custom yes yes no 4463 0 XCITKJ+STIXGeneral-Regular99 Type 1C Custom yes yes no 4456 0 WDTNWL+STIXMath-Regular83 Type 1C Custom yes yes yes 4464 0 XCITKJ+STIXGeneral-Regular100 Type 1C Custom yes yes no 4465 0 KGUTKJ+STIXMath-Italic40 Type 1C Custom yes yes no 4457 0 HIJSUP+STIXGeneral-Italic168 Type 1C Custom yes yes no 4460 0 WDTNWL+STIXMath-Regular84 Type 1C Custom yes yes yes 4461 0 XCITKJ+STIXGeneral-Regular101 Type 1C Custom yes yes no 4467 0 HIJSUP+STIXGeneral-Italic169 Type 1C Custom yes yes no 4466 0 WDTNWL+STIXMath-Regular85 Type 1C Custom yes yes yes 4473 0 XCITKJ+STIXGeneral-Regular102 Type 1C Custom yes yes no 4508 0 WDTNWL+STIXMath-Regular86 Type 1C Custom yes yes yes 4514 0 XCITKJ+STIXGeneral-Regular103 Type 1C Custom yes yes no 4513 0 WDTNWL+STIXMath-Regular87 Type 1C Custom yes yes yes 4515 0 WDTNWL+STIXMath-Regular88 Type 1C Custom yes yes yes 4534 0 HIJSUP+STIXGeneral-Italic170 Type 1C Custom yes yes no 4516 0 XCITKJ+STIXGeneral-Regular104 Type 1C Custom yes yes no 4518 0 HIJSUP+STIXGeneral-Italic171 Type 1C Custom yes yes no 4522 0 WDTNWL+STIXMath-Regular89 Type 1C Custom yes yes yes 4527 0 JLIJWL+STIXMathExtensions-Regular21 Type 1C Custom yes yes yes 4519 0 XCITKJ+STIXGeneral-Regular105 Type 1C Custom yes yes no 4535 0 KGUTKJ+STIXMath-Italic41 Type 1C Custom yes yes yes 4530 0 XCITKJ+STIXGeneral-Regular106 Type 1C Custom yes yes no 4521 0 GQSWWR+STIXGeneral-Regular107 Type 1C Custom yes yes no 4511 0 HPHCKP+STIXGeneral-Italic172 Type 1C Custom yes yes no 4525 0 HPHCKP+STIXGeneral-Italic173 Type 1C Custom yes yes no 4529 0 WDTNWL+STIXMath-Regular90 Type 1C Custom yes yes yes 4533 0 GQSWWR+STIXGeneral-Regular108 Type 1C Custom yes yes no 4536 0 GQSWWR+STIXGeneral-Regular109 Type 1C Custom yes yes no 4507 0 XCITKJ+STIXGeneral-Regular110 Type 1C Custom yes yes no 4548 0 WDTNWL+STIXMath-Regular91 Type 1C Custom yes yes yes 4558 0 WDTNWL+STIXMath-Regular92 Type 1C Custom yes yes yes 4554 0 HPHCKP+STIXGeneral-Italic174 Type 1C Custom yes yes no 4549 0 HPHCKP+STIXGeneral-Italic175 Type 1C Custom yes yes no 4555 0 GQSWWR+STIXGeneral-Regular111 Type 1C Custom yes yes no 4550 0 GQSWWR+STIXGeneral-Regular112 Type 1C Custom yes yes no 4552 0 GQSWWR+STIXGeneral-Regular113 Type 1C Custom yes yes no 4551 0 GQSWWR+STIXGeneral-Regular114 Type 1C Custom yes yes no 4553 0 GQSWWR+STIXGeneral-Regular115 Type 1C Custom yes yes no 4584 0 GQSWWR+STIXGeneral-Regular116 Type 1C Custom yes yes no 4585 0 JLIJWL+STIXMath-Regular93 Type 1C Custom yes yes no 4577 0 WDTNWL+STIXMath-Regular94 Type 1C Custom yes yes yes 4578 0 GQSWWR+STIXGeneral-Regular117 Type 1C Custom yes yes no 4579 0 HSBSKP+STIXGeneral-BoldItalic Type 1C Custom yes yes no 4640 0 RPTJUV+STIXMathSans-Regular3 Type 1C Custom yes yes yes 4622 0 RPTJUV+STIXMathSans-Regular4 Type 1C Custom yes yes yes 4625 0 GQSWWR+STIXGeneral-Regular118 Type 1C Custom yes yes no 4631 0 IMTYIN+STIXGeneral-Bold3 Type 1C Custom yes yes no 4635 0 XCITKJ+STIXGeneral-Regular119 Type 1C Custom yes yes no 4618 0 XCITKJ+STIXGeneral-Regular120 Type 1C Custom yes yes no 4626 0 XCITKJ+STIXGeneral-Regular121 Type 1C Custom yes yes no 4627 0 HPHCKP+STIXGeneral-Italic176 Type 1C Custom yes yes no 4621 0 GQSWWR+STIXGeneral-Regular122 Type 1C Custom yes yes no 4619 0 GQSWWR+STIXGeneral-Regular123 Type 1C Custom yes yes no 4594 0 WDTNWL+STIXMath-Regular95 Type 1C Custom yes yes yes 4590 0 RPTJUV+STIXMathSans-Regular5 Type 1C Custom yes yes yes 4591 0 XCITKJ+STIXGeneral-Regular124 Type 1C Custom yes yes no 4649 0 GQSWWR+STIXGeneral-Regular125 Type 1C Custom yes yes no 4645 0 GQSWWR+STIXGeneral-Regular126 Type 1C Custom yes yes no 4651 0 GQSWWR+STIXGeneral-Regular127 Type 1C Custom yes yes no 4646 0 GQSWWR+STIXGeneral-Regular128 Type 1C Custom yes yes no 4647 0 XCITKJ+STIXGeneral-Regular129 Type 1C Custom yes yes no 4653 0 IMTYIN+STIXGeneral-Bold4 Type 1C Custom yes yes no 4654 0 XCITKJ+STIXGeneral-Regular130 Type 1C Custom yes yes no 4652 0 XCITKJ+STIXGeneral-Regular131 Type 1C Custom yes yes no 4689 0 XCITKJ+STIXGeneral-Regular132 Type 1C Custom yes yes no 4690 0 XCITKJ+STIXGeneral-Regular133 Type 1C Custom yes yes no 4691 0 XCITKJ+STIXGeneral-Regular134 Type 1C Custom yes yes no 4692 0 WDTNWL+STIXMath-Regular96 Type 1C Custom yes yes yes 4701 0 XCITKJ+STIXGeneral-Regular135 Type 1C Custom yes yes no 4697 0 XCITKJ+STIXGeneral-Regular136 Type 1C Custom yes yes no 4700 0 XCITKJ+STIXGeneral-Regular137 Type 1C Custom yes yes no 4698 0 XCITKJ+STIXGeneral-Regular138 Type 1C Custom yes yes no 4695 0 XCITKJ+STIXGeneral-Regular139 Type 1C Custom yes yes no 4699 0 XCITKJ+STIXGeneral-Regular140 Type 1C Custom yes yes no 4693 0 XCITKJ+STIXGeneral-Regular141 Type 1C Custom yes yes no 4694 0 XCITKJ+STIXGeneral-Regular142 Type 1C Custom yes yes no 4696 0 WDTNWL+STIXMath-Regular97 Type 1C Custom yes yes yes 4726 0 GQSWWR+STIXGeneral-Regular143 Type 1C Custom yes yes no 4722 0 GQSWWR+STIXGeneral-Regular144 Type 1C Custom yes yes no 4720 0 GQSWWR+STIXGeneral-Regular145 Type 1C Custom yes yes no 4727 0 GQSWWR+STIXGeneral-Regular146 Type 1C Custom yes yes no 4731 0 GQSWWR+STIXGeneral-Regular147 Type 1C Custom yes yes no 4721 0 GQSWWR+STIXGeneral-Regular148 Type 1C Custom yes yes no 4728 0 GQSWWR+STIXGeneral-Regular149 Type 1C Custom yes yes no 4729 0 GQSWWR+STIXGeneral-Regular150 Type 1C Custom yes yes no 4735 0 GQSWWR+STIXGeneral-Regular151 Type 1C Custom yes yes no 4743 0 GQSWWR+STIXGeneral-Regular152 Type 1C Custom yes yes no 4737 0 GQSWWR+STIXGeneral-Regular153 Type 1C Custom yes yes no 4741 0 GQSWWR+STIXGeneral-Regular154 Type 1C Custom yes yes no 4738 0 GQSWWR+STIXGeneral-Regular155 Type 1C Custom yes yes no 4736 0 GQSWWR+STIXGeneral-Regular156 Type 1C Custom yes yes no 4739 0 GQSWWR+STIXGeneral-Regular157 Type 1C Custom yes yes no 4742 0 GQSWWR+STIXGeneral-Regular158 Type 1C Custom yes yes no 4740 0 GQSWWR+STIXGeneral-Regular159 Type 1C Custom yes yes no 4744 0 WDTNWL+STIXMath-Regular98 Type 1C Custom yes yes yes 4763 0 GQSWWR+STIXGeneral-Regular160 Type 1C Custom yes yes no 4768 0 GQSWWR+STIXGeneral-Regular161 Type 1C Custom yes yes no 4750 0 GQSWWR+STIXGeneral-Regular162 Type 1C Custom yes yes no 4751 0 GQSWWR+STIXGeneral-Regular163 Type 1C Custom yes yes no 4771 0 GQSWWR+STIXGeneral-Regular164 Type 1C Custom yes yes no 4756 0 GQSWWR+STIXGeneral-Regular165 Type 1C Custom yes yes no 4760 0 GQSWWR+STIXGeneral-Regular166 Type 1C Custom yes yes no 4753 0 GQSWWR+STIXGeneral-Regular167 Type 1C Custom yes yes no 4772 0 GQSWWR+STIXGeneral-Regular168 Type 1C Custom yes yes no 4757 0 GQSWWR+STIXGeneral-Regular169 Type 1C Custom yes yes no 4758 0 GQSWWR+STIXGeneral-Regular170 Type 1C Custom yes yes no 4766 0 GQSWWR+STIXGeneral-Regular171 Type 1C Custom yes yes no 4759 0 GQSWWR+STIXGeneral-Regular172 Type 1C Custom yes yes no 4761 0 GQSWWR+STIXGeneral-Regular173 Type 1C Custom yes yes no 4762 0 GQSWWR+STIXGeneral-Regular174 Type 1C Custom yes yes no 4764 0 GQSWWR+STIXGeneral-Regular175 Type 1C Custom yes yes no 4765 0 GQSWWR+STIXGeneral-Regular176 Type 1C Custom yes yes no 4769 0 GQSWWR+STIXGeneral-Regular177 Type 1C Custom yes yes no 4770 0 XCITKJ+STIXGeneral-Regular178 Type 1C Custom yes yes no 4778 0 GQSWWR+STIXGeneral-Regular179 Type 1C Custom yes yes no 4782 0 GQSWWR+STIXGeneral-Regular180 Type 1C Custom yes yes no 4787 0 GQSWWR+STIXGeneral-Regular181 Type 1C Custom yes yes no 4774 0 WDTNWL+STIXMath-Regular99 Type 1C Custom yes yes yes 4781 0 GQSWWR+STIXGeneral-Regular182 Type 1C Custom yes yes no 4790 0 GQSWWR+STIXGeneral-Regular183 Type 1C Custom yes yes no 4773 0 GQSWWR+STIXGeneral-Regular184 Type 1C Custom yes yes no 4776 0 XCITKJ+STIXGeneral-Regular185 Type 1C Custom yes yes no 4784 0 GQSWWR+STIXGeneral-Regular186 Type 1C Custom yes yes no 4780 0 GQSWWR+STIXGeneral-Regular187 Type 1C Custom yes yes no 4785 0 GQSWWR+STIXGeneral-Regular188 Type 1C Custom yes yes no 4789 0 GQSWWR+STIXGeneral-Regular189 Type 1C Custom yes yes no 4788 0 GQSWWR+STIXGeneral-Regular190 Type 1C Custom yes yes no 4777 0 GQSWWR+STIXGeneral-Regular191 Type 1C Custom yes yes no 4779 0 GQSWWR+STIXGeneral-Regular192 Type 1C Custom yes yes no 4791 0 GQSWWR+STIXGeneral-Regular193 Type 1C Custom yes yes no 4792 0 GQSWWR+STIXGeneral-Regular194 Type 1C Custom yes yes no 4793 0 GQSWWR+STIXGeneral-Regular195 Type 1C Custom yes yes no 4811 0 GQSWWR+STIXGeneral-Regular196 Type 1C Custom yes yes no 4810 0 GQSWWR+STIXGeneral-Regular197 Type 1C Custom yes yes no 4821 0 GQSWWR+STIXGeneral-Regular198 Type 1C Custom yes yes no 4814 0 GQSWWR+STIXGeneral-Regular199 Type 1C Custom yes yes no 4813 0 GQSWWR+STIXGeneral-Regular200 Type 1C Custom yes yes no 4815 0 GQSWWR+STIXGeneral-Regular201 Type 1C Custom yes yes no 4819 0 GQSWWR+STIXGeneral-Regular202 Type 1C Custom yes yes no 4816 0 GQSWWR+STIXGeneral-Regular203 Type 1C Custom yes yes no 4820 0 GQSWWR+STIXGeneral-Regular204 Type 1C Custom yes yes no 4818 0 GQSWWR+STIXGeneral-Regular205 Type 1C Custom yes yes no 4812 0 GQSWWR+STIXGeneral-Regular206 Type 1C Custom yes yes no 4817 0 XCITKJ+STIXGeneral-Regular207 Type 1C Custom yes yes no 4836 0 XCITKJ+STIXGeneral-Regular208 Type 1C Custom yes yes no 4853 0 HIJSUP+STIXGeneral-Italic177 Type 1C Custom yes yes no 4837 0 KGUTKJ+STIXMath-Italic42 Type 1C Custom yes yes yes 4838 0 HIJSUP+STIXGeneral-Italic178 Type 1C Custom yes yes no 4854 0 XCITKJ+STIXGeneral-Regular209 Type 1C Custom yes yes no 4847 0 HIJSUP+STIXGeneral-Italic179 Type 1C Custom yes yes no 4840 0 WDTNWL+STIXMath-Regular100 Type 1C Custom yes yes yes 4839 0 HIJSUP+STIXGeneral-Italic180 Type 1C Custom yes yes no 4841 0 WDTNWL+STIXMath-Regular101 Type 1C Custom yes yes yes 4843 0 HIJSUP+STIXGeneral-Italic181 Type 1C Custom yes yes no 4848 0 HIJSUP+STIXGeneral-Italic182 Type 1C Custom yes yes no 4844 0 HIJSUP+STIXGeneral-Italic183 Type 1C Custom yes yes no 4845 0 HIJSUP+STIXGeneral-Italic184 Type 1C Custom yes yes no 4846 0 KETPAJ+MyriadPro-BoldSemiCn3 Type 1C Custom yes yes no 4849 0 HIJSUP+STIXGeneral-Italic185 Type 1C Custom yes yes no 4871 0 HIJSUP+STIXGeneral-Italic186 Type 1C Custom yes yes no 4855 0 HIJSUP+STIXGeneral-Italic187 Type 1C Custom yes yes no 4877 0 LIDVOH+MyriadPro-BoldSemiCnIt2 Type 1C Custom yes yes no 4872 0 WDTNWL+STIXMath-Regular102 Type 1C Custom yes yes yes 4874 0 XCITKJ+STIXGeneral-Regular210 Type 1C Custom yes yes no 4875 0 KETPAJ+MyriadPro-BoldSemiCn4 Type 1C Custom yes yes no 4868 0 HIJSUP+STIXGeneral-Italic188 Type 1C Custom yes yes no 4876 0 HIJSUP+STIXGeneral-Italic189 Type 1C Custom yes yes no 4878 0 HIJSUP+STIXGeneral-Italic190 Type 1C Custom yes yes no 4869 0 HIJSUP+STIXGeneral-Italic191 Type 1C Custom yes yes no 4856 0 XCITKJ+STIXGeneral-Regular211 Type 1C Custom yes yes no 4857 0 HIJSUP+STIXGeneral-Italic192 Type 1C Custom yes yes no 4859 0 HIJSUP+STIXGeneral-Italic193 Type 1C Custom yes yes no 4860 0 WDTNWL+STIXMath-Regular103 Type 1C Custom yes yes yes 4863 0 KGUTKJ+STIXMath-Italic43 Type 1C Custom yes yes no 4903 0 HIJSUP+STIXGeneral-Italic194 Type 1C Custom yes yes no 4911 0 HIJSUP+STIXGeneral-Italic195 Type 1C Custom yes yes no 4913 0 WDTNWL+STIXMath-Regular104 Type 1C Custom yes yes yes 4893 0 HIJSUP+STIXGeneral-Italic196 Type 1C Custom yes yes no 4904 0 XCITKJ+STIXGeneral-Regular212 Type 1C Custom yes yes no 4906 0 HIJSUP+STIXGeneral-Italic197 Type 1C Custom yes yes no 4895 0 HIJSUP+STIXGeneral-Italic198 Type 1C Custom yes yes no 4896 0 WDTNWL+STIXMath-Regular105 Type 1C Custom yes yes yes 4899 0 HIJSUP+STIXGeneral-Italic199 Type 1C Custom yes yes no 4905 0 HIJSUP+STIXGeneral-Italic200 Type 1C Custom yes yes no 4907 0 HIJSUP+STIXGeneral-Italic201 Type 1C Custom yes yes no 4897 0 HIJSUP+STIXGeneral-Italic202 Type 1C Custom yes yes no 4900 0 HIJSUP+STIXGeneral-Italic203 Type 1C Custom yes yes no 4901 0 WDTNWL+STIXMath-Regular106 Type 1C Custom yes yes yes 4925 0 WDTNWL+STIXMathCalligraphy-Regular8 Type 1C Custom yes yes yes 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Profile: Linearized PDF PDFMetadata: Objects: 5580 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: false CenterWindow: false DisplayDocTitle: false NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Language: en-US Outlines: Item: Title: Adapting performance metrics for ordinal classification to interval scale: length matters Children: Item: Title: Abstract Item: Title: 1 Introduction Children: Item: Title: 1.1 More examples and related works Item: Title: 1.2 Problem statement and objectives Item: Title: 2 Metrics for ordinal classification Children: Item: Title: 2.1 Notations Item: Title: 2.2 Mainstream metrics based on the confusion matrix Item: Title: 2.3 A cost-sensitive metric based on the confusion matrix Item: Title: 2.4 Other ordinal scale metrics: state-of-the-art Item: Title: 3 Adapting an ordinal metric based on the confusion matrix to the interval scale Children: Item: Title: 3.1 Transition to the interval scale Children: Item: Title: 3.1.1 The interval-scale metrics and  Item: Title: 3.2 Normalization process on  Children: Item: Title: 3.2.1 The normalized (ordinal) metrics and  Item: Title: 3.2.2 The normalized interval-scale metrics and  Item: Title: 4 What length to assign to the rightmost interval? Children: Item: Title: 4.1 A toy example Item: Title: 4.2 Optimal interval length: useful bounds and a particular case Item: Title: 4.3 The balanced case with  Item: Title: 4.4 Simulations Item: Title: 5 Experimentation with real-world data Children: Item: Title: 5.1 The datasets Item: Title: 5.2 Description of the experiment Item: Title: 5.3 Results Item: Title: 6 Conclusions Item: Title: Appendix A: New metrics: proofs of their properties Children: Item: Title: Proofs for the interval-scale metrics and  Item: Title: Proofs for the normalized (ordinal) metrics and  Item: Title: Proofs for the normalized interval-scale metrics and  Item: Title: Appendix B Proof of Proposition 6 Item: Title: Acknowledgements Item: Title: References Info: Title: Adapting performance metrics for ordinal classification to interval scale: length matters Author: Giulia Binotto Subject: Machine Learning, https://doi.org/10.1007/s10994-024-06654-4 Keywords: Ordinal classification; Interval-scale 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LastChar: 33 FontDescriptor: FontName: KGUTKJ+STIXMath-Italic14 Flags: Symbolic FontBBox: 0, -187, 2323, 816 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: XCITKJ+STIXGeneral-Regular34 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: XCITKJ+STIXGeneral-Regular34 Flags: Serif, Symbolic FontBBox: 0, -218, 1048, 706 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: WDTNWL+STIXMathCalligraphy-Regular FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: WDTNWL+STIXMathCalligraphy-Regular Flags: Symbolic FontBBox: 0, -156, 637, 662 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: XCITKJ+STIXGeneral-Regular3 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: XCITKJ+STIXGeneral-Regular3 Flags: Serif, Symbolic FontBBox: 0, -218, 1048, 706 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: WDTNWL+STIXMath-Regular3 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: WDTNWL+STIXMath-Regular3 Flags: Symbolic FontBBox: 0, -222, 888, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: WDTNWL+STIXMath-Regular39 FontSubset: true FirstChar: 27 LastChar: 33 FontDescriptor: FontName: WDTNWL+STIXMath-Regular39 Flags: Symbolic FontBBox: 0, -222, 888, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: HIJSUP+STIXGeneral-Italic62 FontSubset: true FirstChar: 29 LastChar: 33 FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic62 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: WDTNWL+STIXMath-Regular40 FontSubset: true FirstChar: 29 LastChar: 33 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FontBBox: 0, -218, 1048, 706 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: HIJSUP+STIXGeneral-Italic10 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic10 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: XCITKJ+STIXGeneral-Regular44 FontSubset: true FirstChar: 16 LastChar: 33 FontDescriptor: FontName: XCITKJ+STIXGeneral-Regular44 Flags: Serif, Symbolic FontBBox: 0, -218, 1048, 706 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: HIJSUP+STIXGeneral-Italic11 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic11 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: WDTNWL+STIXMathCalligraphy-Regular6 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FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic18 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KGUTKJ+STIXMath-Italic3 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: KGUTKJ+STIXMath-Italic3 Flags: Symbolic FontBBox: 0, -187, 2323, 816 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: WDTNWL+STIXMathCalligraphy-Regular2 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: WDTNWL+STIXMathCalligraphy-Regular2 Flags: Symbolic FontBBox: 0, -156, 637, 662 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: WDTNWL+STIXMath-Regular13 FontSubset: true FirstChar: 28 LastChar: 33 FontDescriptor: FontName: WDTNWL+STIXMath-Regular13 Flags: Symbolic FontBBox: 0, -222, 888, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding 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FontBBox: 0, -218, 1048, 706 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: STIX-Bold FirstChar: 0 LastChar: 255 FontDescriptor: FontName: STIX-Bold Flags: Serif, Nonsymbolic FontBBox: -998, -552, 2000, 1055 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: HIJSUP+STIXGeneral-Italic22 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic22 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: CUTXCZ+STIXMathTyperwriter-Regular3 FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: CUTXCZ+STIXMathTyperwriter-Regular3 Flags: Symbolic FontBBox: 0, -228, 516, 609 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JLIJWL+STIXMathExtensions-Regular5 FontSubset: 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FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic19 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: HIJSUP+STIXGeneral-Italic93 FontSubset: true FirstChar: 25 LastChar: 33 FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic93 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: XCITKJ+STIXGeneral-Regular16 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: XCITKJ+STIXGeneral-Regular16 Flags: Serif, Symbolic FontBBox: 0, -218, 1048, 706 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: HIJSUP+STIXGeneral-Italic91 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: HIJSUP+STIXGeneral-Italic91 Flags: Symbolic FontBBox: -147, -207, 906, 683 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: RPTJUV+STIXMathSans-Regular FontSubset: true FirstChar: 31 LastChar: 33 FontDescriptor: FontName: RPTJUV+STIXMathSans-Regular Flags: Symbolic FontBBox: 0, -156, 906, 662 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: WDTNWL+STIXMath-Regular12 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: WDTNWL+STIXMath-Regular12 Flags: Symbolic FontBBox: 0, -222, 888, 710 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true ToUnicode: true Font: BaseFont: JLIJWL+STIXMathExtensions-Regular13 FontSubset: true FirstChar: 30 LastChar: 33 FontDescriptor: FontName: JLIJWL+STIXMathExtensions-Regular13 Flags: Symbolic FontBBox: 0, -300, 400, 959 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: XCITKJ+STIXGeneral-Regular53 FontSubset: true FirstChar: 22 LastChar: 33 FontDescriptor: FontName: 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(Windows) Ordinal classification; Interval-scale classification; Performance metrics; Cost-sensitive metrics; Hyper-parameter tuning application/pdf https://doi.org/10.1007/s10994-024-06654-4 Springer US Machine Learning, https://doi.org/10.1007/s10994-024-06654-4 Ordinal classification Interval-scale classification Performance metrics Cost-sensitive metrics Hyper-parameter tuning Adapting performance metrics for ordinal classification to interval scale: length matters Giulia Binotto Rosario Delgado 10.1007/s10994-024-06654-4 2010-04-23 true springer.com springerlink.com https://doi.org/10.1007/s10994-024-06654-4 10.1007/s10994-024-06654-4 1573-0565 114 2 1 49 journal Machine Learning The Author(s) 2010-04-23 true 10.1007/s10994-024-06654-4 noindex springer.com springerlink.com VoR uuid:5994c1bd-5568-49a3-8b0c-5f38a4db7d3a uuid:ebc1fd37-4147-4281-ab78-1da7803d4ffa default 1 converted uuid:26810c3e-73b6-4662-aad7-e82034c667fc converted to PDF/A-2b pdfToolbox 2025-02-11T03:13:32+05:30 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