ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืฉืœื•ื ืœื›ื•ืœื! ืฉืžื™ ืกืฉื”, ืื ื™ CTO ื•ืžื™ื™ืกื“ ืฉื•ืชืฃ ื‘-LoyaltyLab. ืœืคื ื™ ืฉื ืชื™ื™ื, ืื ื™ ื•ื—ื‘ืจื™ื™, ื›ืžื• ื›ืœ ื”ืกื˜ื•ื“ื ื˜ื™ื ื”ืขื ื™ื™ื, ื”ืœื›ื ื• ื‘ืขืจื‘ ืœืงื ื•ืช ื‘ื™ืจื” ื‘ื—ื ื•ืช ื”ืงืจื•ื‘ื” ืœื‘ื™ืชื ื•. ื”ืชืขืฆื‘ื ื• ืžืื•ื“ ืฉื”ืงืžืขื•ื ืื™, ืžืชื•ืš ื™ื“ื™ืขื” ืฉื ื‘ื•ื ื‘ืฉื‘ื™ืœ ื‘ื™ืจื”, ืœื ื”ืฆื™ืข ื”ื ื—ื” ืขืœ ืฆ'ื™ืคืก ืื• ืงืจืงืจื™ื, ืœืžืจื•ืช ืฉื–ื” ื”ื™ื” ื›ืœ ื›ืš ื”ื’ื™ื•ื ื™! ืœื ื”ื‘ื ื• ืœืžื” ื”ืžืฆื‘ ื”ื–ื” ืงื•ืจื” ื•ื”ื—ืœื˜ื ื• ืœื”ืงื™ื ื—ื‘ืจื” ืžืฉืœื ื•. ื•ื‘ื›ืŸ, ื›ื‘ื•ื ื•ืก, ืชืŸ ืœืขืฆืžืš ื”ื ื—ื•ืช ื‘ื›ืœ ื™ื•ื ืฉื™ืฉื™ ืขืœ ืื•ืชื ืฆ'ื™ืคืก.

ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื•ื”ื›ืœ ื”ื’ื™ืข ืœื ืงื•ื“ื” ืฉื‘ื” ืื ื™ ืžืฆื™ื’ ื—ื•ืžืจ ืขืœ ื”ืฆื“ ื”ื˜ื›ื ื™ ืฉืœ ื”ืžื•ืฆืจ ื‘ NVIDIA GTC. ืื ื• ืฉืžื—ื™ื ืœื—ืœื•ืง ืืช ืขื‘ื•ื“ืชื ื• ืขื ื”ืงื”ื™ืœื”, ื•ืœื›ืŸ ืื ื™ ืžืคืจืกื ืืช ื”ื“ื•"ื— ืฉืœื™ ื‘ืฆื•ืจืช ืžืืžืจ.

ืžื‘ื•ื

ื›ืžื• ื›ื•ืœื ื‘ืชื—ื™ืœืช ื”ื“ืจืš, ื”ืชื—ืœื ื• ื‘ืกืงื™ืจื” ื›ืœืœื™ืช ืฉืœ ืื•ืคืŸ ื™ืฆื™ืจืช ืžืขืจื›ื•ืช ืžืžืœื™ืฆื™ื. ื•ื”ืืจื›ื™ื˜ืงื˜ื•ืจื” ื”ืคื•ืคื•ืœืจื™ืช ื‘ื™ื•ืชืจ ื”ืชื‘ืจืจื” ื›ืกื•ื’ ื”ื‘ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื”ื•ื ืžื•ืจื›ื‘ ืžืฉื ื™ ื—ืœืงื™ื:

  1. ื“ื’ื™ืžืช ืžื•ืขืžื“ื™ื ืœื”ืžืœืฆื•ืช ื‘ืืžืฆืขื•ืช ืžื•ื“ืœ ืคืฉื•ื˜ ื•ืžื”ื™ืจ, ืœืจื•ื‘ ืฉื™ืชื•ืคื™.
  2. ื“ื™ืจื•ื’ ืžื•ืขืžื“ื™ื ืขื ืžื•ื“ืœ ืชื•ื›ืŸ ืžื•ืจื›ื‘ ื•ืื™ื˜ื™ ื™ื•ืชืจ, ืชื•ืš ื”ืชื—ืฉื‘ื•ืช ื‘ื›ืœ ื”ืชื›ื•ื ื•ืช ื”ืืคืฉืจื™ื•ืช ื‘ื ืชื•ื ื™ื.

ืœื”ืœืŸ ืืฉืชืžืฉ ื‘ืžื•ื ื—ื™ื ื”ื‘ืื™ื:

  • ืžื•ืขืžื“/ืžื•ืขืžื“ ืœื”ืžืœืฆื•ืช - ื–ื•ื’ ืžืฉืชืžืฉ-ืžื•ืฆืจ ืฉืขืœื•ืœ ืœื”ื™ื›ืœืœ ื‘ื”ืžืœืฆื•ืช ื‘ื™ื™ืฆื•ืจ.
  • ืฉื™ื˜ืช ืžื™ืฆื•ื™/ื—ื•ืœืฅ/ืžื™ืฆื•ื™ ืžื•ืขืžื“ื™ื - ืชื”ืœื™ืš ืื• ืฉื™ื˜ื” ืœื—ื™ืœื•ืฅ "ืžื•ืขืžื“ื™ื ืœื”ืžืœืฆื•ืช" ืžื ืชื•ื ื™ื ื–ืžื™ื ื™ื.

ื”ืฆืขื“ ื”ืจืืฉื•ืŸ ื›ื•ืœืœ ื‘ื“ืจืš ื›ืœืœ ืฉื™ืžื•ืฉ ื‘ื•ื•ืจื™ืืฆื™ื•ืช ืฉื•ื ื•ืช ืฉืœ ืกื™ื ื•ืŸ ืฉื™ืชื•ืคื™. ื”ืคื•ืคื•ืœืจื™ ื‘ื™ื•ืชืจ - ALS. ืžืคืชื™ืข ืฉืจื•ื‘ ื”ืžืืžืจื™ื ืขืœ ืžืขืจื›ื•ืช ืžืžืœื™ืฆื™ื ื—ื•ืฉืคื•ืช ืจืง ื‘ืฉืœื‘ ื”ืจืืฉื•ืŸ ืฉื™ืคื•ืจื™ื ืฉื•ื ื™ื ื‘ืžื•ื“ืœื™ื ืฉื™ืชื•ืคื™ื™ื, ืื‘ืœ ืืฃ ืื—ื“ ืœื ืžื“ื‘ืจ ื”ืจื‘ื” ืขืœ ืฉื™ื˜ื•ืช ื“ื’ื™ืžื” ืื—ืจื•ืช. ืžื‘ื—ื™ื ืชื ื•, ื”ื’ื™ืฉื” ืฉืœ ืฉื™ืžื•ืฉ ืจืง ื‘ืžื•ื“ืœื™ื ืฉื™ืชื•ืคื™ื™ื ื•ืื•ืคื˜ื™ืžื™ื–ืฆื™ื•ืช ืฉื•ื ื•ืช ืื™ืชื ืœื ืขื‘ื“ื” ื‘ืื™ื›ื•ืช ืœื” ืฆื™ืคื™ื ื•, ืื– ื—ืคืจื ื• ื‘ืžื—ืงืจ ืกืคืฆื™ืคื™ ืขืœ ื”ื—ืœืง ื”ื–ื”. ื•ื‘ืกื•ืฃ ื”ืžืืžืจ ืืจืื” ืขื“ ื›ืžื” ื”ืฆืœื—ื ื• ืœืฉืคืจ ืืช ื”-ALS, ืฉื”ื™ื” ืงื• ื”ื‘ืกื™ืก ืฉืœื ื•.

ืœืคื ื™ ืฉืืขื‘ื•ืจ ืœืชื™ืื•ืจ ื”ื’ื™ืฉื” ืฉืœื ื•, ื—ืฉื•ื‘ ืœืฆื™ื™ืŸ ืฉื‘ื”ืžืœืฆื•ืช ื‘ื–ืžืŸ ืืžืช, ื›ืฉื—ืฉื•ื‘ ืœื ื• ืœืงื—ืช ื‘ื—ืฉื‘ื•ืŸ ื ืชื•ื ื™ื ืฉื”ืชืจื—ืฉื• ืœืคื ื™ 30 ื“ืงื•ืช, ื‘ืืžืช ืฉืื™ืŸ ื”ืจื‘ื” ื’ื™ืฉื•ืช ืฉื™ื›ื•ืœื•ืช ืœืขื‘ื•ื“ ื‘ื–ืžืŸ ื”ื ื“ืจืฉ. ืื‘ืœ, ื‘ืžืงืจื” ืฉืœื ื•, ืื ื—ื ื• ืฆืจื™ื›ื™ื ืœืืกื•ืฃ ื”ืžืœืฆื•ืช ืœื ื™ื•ืชืจ ืžืคืขื ืื—ืช ื‘ื™ื•ื, ื•ื‘ืจื•ื‘ ื”ืžืงืจื™ื - ืคืขื ื‘ืฉื‘ื•ืข, ืžื” ืฉื ื•ืชืŸ ืœื ื• ืืช ื”ืืคืฉืจื•ืช ืœื”ืฉืชืžืฉ ื‘ืžื•ื“ืœื™ื ืžื•ืจื›ื‘ื™ื ื•ืœืฉืคืจ ืืช ื”ืื™ื›ื•ืช ืคื™ ื›ืžื”.

ื‘ื•ืื• ื ื™ืงื— ื›ื‘ืกื™ืก ืืช ื”ืžื“ื“ื™ื ืฉืจืง ALS ืžืฆื™ื’ ื‘ืžืฉื™ืžื” ืฉืœ ื—ื™ืœื•ืฅ ืžื•ืขืžื“ื™ื. ืžื“ื“ื™ ื”ืžืคืชื— ืฉืื ื• ืขื•ืงื‘ื™ื ืื—ืจื™ื”ื ื”ื:

  • ื“ื™ื•ืง - ืฉื™ืขื•ืจ ื”ืžื•ืขืžื“ื™ื ืฉื ื‘ื—ืจื• ื ื›ื•ืŸ ืžื‘ื™ืŸ ื”ื ื“ื’ืžื™ื.
  • ืจื™ืงื•ืœ ื”ื•ื ืฉื™ืขื•ืจ ื”ืžื•ืขืžื“ื™ื ืฉืงืจื• ืžืชื•ืš ืืœื• ืฉื‘ืืžืช ื”ื™ื• ื‘ืžืจื•ื•ื— ื”ื™ืขื“.
  • F1-score - ืžื“ื“ F ืžื—ื•ืฉื‘ ืขืœ ืฉืชื™ ื”ื ืงื•ื“ื•ืช ื”ืงื•ื“ืžื•ืช.

ื ื‘ื—ืŸ ื’ื ืืช ื”ืžื“ื“ื™ื ืฉืœ ื”ืžื•ื“ืœ ื”ืกื•ืคื™ ืœืื—ืจ ืื™ืžื•ืŸ ื”ื’ื‘ืจืช ืฉื™ืคื•ืข ืขื ืชื›ื•ื ื•ืช ืชื•ื›ืŸ ื ื•ืกืคื•ืช. ื™ืฉ ื›ืืŸ ื’ื 3 ืžื“ื“ื™ื ืขื™ืงืจื™ื™ื:

  • precision@5 - ื”ืื—ื•ื– ื”ืžืžื•ืฆืข ืฉืœ ืžื•ืฆืจื™ื ืžื”-5 ื”ืžื•ื‘ื™ืœื™ื ืžื‘ื—ื™ื ืช ื”ืกืชื‘ืจื•ืช ืœื›ืœ ืงื•ื ื”.
  • response-rate@5 - ื”ืžืจื” ืฉืœ ืœืงื•ื—ื•ืช ืžื‘ื™ืงื•ืจ ื‘ื—ื ื•ืช ืœืจื›ื™ืฉืช ื”ืฆืขื” ืื™ืฉื™ืช ืื—ืช ืœืคื—ื•ืช (5 ืžื•ืฆืจื™ื ื‘ืžื‘ืฆืข ืื—ื“).
  • avg roc-auc ืœืžืฉืชืžืฉ - ืžืžื•ืฆืข roc-auc ืขื‘ื•ืจ ื›ืœ ืงื•ื ื”.

ื—ืฉื•ื‘ ืœืฆื™ื™ืŸ ืฉื›ืœ ื”ืžื“ื“ื™ื ื”ืœืœื• ื ืžื“ื“ื™ื ืขืœ ืื™ืžื•ืช ืฆื•ืœื‘ ืฉืœ ืกื“ืจื•ืช ื–ืžืŸื›ืœื•ืžืจ, ื”ืื™ืžื•ืŸ ืžืชืจื—ืฉ ื‘-k ื”ืฉื‘ื•ืขื•ืช ื”ืจืืฉื•ื ื™ื, ื•-k+1 week ื ืœืงื— ื›ื ืชื•ื ื™ ืžื‘ื—ืŸ. ืœืคื™ื›ืš, ืœืขืœื™ื•ืช ื•ืžื•ืจื“ื•ืช ืขื•ื ืชื™ื•ืช ื”ื™ื™ืชื” ื”ืฉืคืขื” ืžื™ื ื™ืžืœื™ืช ืขืœ ื”ืคืจืฉื ื•ืช ืฉืœ ืื™ื›ื•ืช ื”ื“ื’ืžื™ื. ื‘ื”ืžืฉืš ื‘ื›ืœ ื”ื’ืจืคื™ื, ืฆื™ืจ ื”ืื‘ืฉื™ืกื” ื™ืฆื™ื™ืŸ ืืช ืžืกืคืจ ื”ืฉื‘ื•ืข ื‘ืื™ืžื•ืช ืฆื•ืœื‘, ื•ืฆื™ืจ ื”ืกืžื™ื›ื” ื™ืฆื™ื™ืŸ ืืช ื”ืขืจืš ืฉืœ ื”ืžื“ื“ ืฉืฆื•ื™ืŸ. ื›ืœ ื”ื’ืจืคื™ื ืžื‘ื•ืกืกื™ื ืขืœ ื ืชื•ื ื™ ืขืกืงืื•ืช ืžืœืงื•ื— ืื—ื“ ื›ืš ืฉื”ื”ืฉื•ื•ืื•ืช ื‘ื™ื ื™ื”ืŸ ื ื›ื•ื ื•ืช.

ืœืคื ื™ ืฉื ืชื—ื™ืœ ืœืชืืจ ืืช ื”ื’ื™ืฉื” ืฉืœื ื•, ืื ื• ืžืกืชื›ืœื™ื ืชื—ื™ืœื” ืขืœ ืงื• ื”ื‘ืกื™ืก, ืฉื”ื•ื ืžื•ื“ืœ ืžืื•ืžืŸ ALS.
ืžื“ื“ื™ ืื—ื–ื•ืจ ืžื•ืขืžื“ื™ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืžื“ื“ื™ื ืกื•ืคื™ื™ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืื ื™ ืžืชื™ื™ื—ืก ืœื›ืœ ื”ื”ื˜ืžืขื•ืช ืฉืœ ื”ืืœื’ื•ืจื™ืชืžื™ื ื›ืืœ ืกื•ื’ ืฉืœ ื”ืฉืขืจื” ืขืกืงื™ืช. ืœืคื™ื›ืš, ื‘ืขืจืš, ื›ืœ ืžื•ื“ืœ ืฉื™ืชื•ืคื™ ื™ื›ื•ืœ ืœื”ื™ื—ืฉื‘ ื›ื”ืฉืขืจื” ืฉ"ืื ืฉื™ื ื ื•ื˜ื™ื ืœืงื ื•ืช ืžื” ืฉืื ืฉื™ื ื“ื•ืžื™ื ืœื”ื ืงื•ื ื™ื". ื›ืคื™ ืฉื›ื‘ืจ ืืžืจืชื™, ืœื ื”ื’ื‘ืœื ื• ืืช ืขืฆืžื ื• ืœืกืžื ื˜ื™ืงื” ื›ื–ื•, ื•ื”ื ื” ื›ืžื” ื”ืฉืขืจื•ืช ืฉืขื•ื‘ื“ื•ืช ื”ื™ื˜ื‘ ืขืœ ื ืชื•ื ื™ื ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช:

  1. ืฉื›ื‘ืจ ืงื ื™ืชื™ ื‘ืขื‘ืจ.
  2. ื“ื•ืžื” ืœืžื” ืฉืงื ื™ืชื™ ืงื•ื“ื.
  3. ืชืงื•ืคื” ืฉืœ ืจื›ื™ืฉื” ืžื–ืžืŸ.
  4. ืคื•ืคื•ืœืจื™ ืœืคื™ ืงื˜ื’ื•ืจื™ื•ืช/ืžื•ืชื’ื™ื.
  5. ืจื›ื™ืฉื•ืช ื—ืœื•ืคื™ื•ืช ืฉืœ ืกื—ื•ืจื•ืช ืฉื•ื ื•ืช ืžืฉื‘ื•ืข ืœืฉื‘ื•ืข (ืจืฉืชื•ืช ืžืจืงื•ื‘).
  6. ืžื•ืฆืจื™ื ื“ื•ืžื™ื ืœืงื•ื ื™ื, ืœืคื™ ืžืืคื™ื™ื ื™ื ืฉื ื‘ื ื• ืขืœ ื™ื“ื™ ื“ื’ืžื™ื ืฉื•ื ื™ื (Word2Vec, DSSM ื•ื›ื•').

ืžื” ืงื ื™ืช ืงื•ื“ื?

ื”ื”ื™ื•ืจื™ืกื˜ื™ืงื” ื”ื‘ืจื•ืจื” ื‘ื™ื•ืชืจ ืฉืขื•ื‘ื“ืช ื˜ื•ื‘ ืžืื•ื“ ื‘ืงืžืขื•ื ืื•ืช ืžื›ื•ืœืช. ื›ืืŸ ื ื™ืงื— ืืช ื›ืœ ื”ืกื—ื•ืจื” ืฉืจื›ืฉ ื‘ืขืœ ื›ืจื˜ื™ืก ื”ื ืืžื ื•ืช ื‘-K ื”ื™ืžื™ื ื”ืื—ืจื•ื ื™ื (ื‘ื“ืจืš ื›ืœืœ 1-3 ืฉื‘ื•ืขื•ืช), ืื• K ื™ืžื™ื ืœืคื ื™ ืฉื ื”. ื‘ืืžืฆืขื•ืช ืฉื™ื˜ื” ื–ื• ื‘ืœื‘ื“, ืื ื• ืžืฉื™ื’ื™ื ืืช ื”ืžื“ื“ื™ื ื”ื‘ืื™ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื›ืืŸ ื–ื” ื“ื™ ื‘ืจื•ืจ ืฉื›ื›ืœ ืฉืื ื• ืœื•ืงื—ื™ื ืืช ื”ืชืงื•ืคื”, ื›ืš ื™ืฉ ืœื ื• ื™ื•ืชืจ ืจื™ืงื•ืœ ื•ืคื—ื•ืช ื“ื™ื•ืง ื•ืœื”ื™ืคืš. ื‘ืžืžื•ืฆืข, "ื”ืฉื‘ื•ืขื™ื™ื ื”ืื—ืจื•ื ื™ื" ืžืกืคืงื™ื ืชื•ืฆืื•ืช ื˜ื•ื‘ื•ืช ื™ื•ืชืจ ืœืœืงื•ื—ื•ืช.

ื“ื•ืžื” ืœืžื” ืฉืงื ื™ืชื™ ืงื•ื“ื

ื–ื” ืœื ืžืคืชื™ืข ืฉืขื‘ื•ืจ ืงืžืขื•ื ืื•ืช ืžื›ื•ืœืช "ืžื” ืฉืงื ื™ืชื™ ืงื•ื“ื" ืขื•ื‘ื“ ื˜ื•ื‘, ืื‘ืœ ืœื—ืœืฅ ืžื•ืขืžื“ื™ื ืจืง ืžืžื” ืฉื”ืžืฉืชืžืฉ ื›ื‘ืจ ืงื ื” ื–ื” ืœื ืžืื•ื“ ืžื’ื ื™ื‘, ื›ื™ ื–ื” ืœื ืกื‘ื™ืจ ืœื”ืคืชื™ืข ืืช ื”ืงื•ื ื” ืขื ืื™ื–ื” ืžื•ืฆืจ ื—ื“ืฉ. ืœื›ืŸ, ืื ื• ืžืฆื™ืขื™ื ืœืฉืคืจ ืžืขื˜ ื”ื™ื•ืจื™ืกื˜ื™ืงื” ื–ื• ื‘ืืžืฆืขื•ืช ืื•ืชื ืžื•ื“ืœื™ื ืฉื™ืชื•ืคื™ื™ื. ืžื”ื•ื•ืงื˜ื•ืจื™ื ืฉืงื™ื‘ืœื ื• ื‘ืžื”ืœืš ืื™ืžื•ืŸ ALS, ื ื•ื›ืœ ืœืงื‘ืœ ืžื•ืฆืจื™ื ื“ื•ืžื™ื ืœืžื” ืฉื”ืžืฉืชืžืฉ ื›ื‘ืจ ืจื›ืฉ. ืจืขื™ื•ืŸ ื–ื” ื“ื•ืžื” ืžืื•ื“ ืœ"ืกืจื˜ื•ื ื™ื ื“ื•ืžื™ื" ื‘ืฉื™ืจื•ืชื™ ืฆืคื™ื™ื” ื‘ืชื›ื ื™ ื•ื™ื“ืื•, ืืš ืžื›ื™ื•ื•ืŸ ืฉืื™ื ื ื• ื™ื•ื“ืขื™ื ืžื” ื”ืžืฉืชืžืฉ ืื•ื›ืœ/ืงื•ื ื” ื‘ืจื’ืข ืžืกื•ื™ื, ื ื•ื›ืœ ืœื—ืคืฉ ืจืง ื“ื•ืžื™ื ืœืžื” ืฉื”ื•ื ื›ื‘ืจ ืงื ื”, ื‘ืžื™ื•ื—ื“ ืžืื– ืื ื—ื ื• ืื ื—ื ื• ื›ื‘ืจ ื™ื•ื“ืขื™ื ื›ืžื” ื˜ื•ื‘ ื–ื” ืขื•ื‘ื“. ื™ื™ืฉื•ื ืฉื™ื˜ื” ื–ื• ืขืœ ืขืกืงืื•ืช ืžืฉืชืžืฉื™ื ื‘ืžื”ืœืš ื”ืฉื‘ื•ืขื™ื™ื ื”ืื—ืจื•ื ื™ื, ืื ื• ืžืฉื™ื’ื™ื ืืช ื”ืžื“ื“ื™ื ื”ื‘ืื™ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื›ืืŸ k - ืžืกืคืจ ื”ืžื•ืฆืจื™ื ื”ื“ื•ืžื™ื ืฉื ืืกืคื• ืขื‘ื•ืจ ื›ืœ ืžื•ืฆืจ ืฉื ืจื›ืฉ ืขืœ ื™ื“ื™ ื”ืงื•ื ื” ื‘ืžื”ืœืš 14 ื”ื™ืžื™ื ื”ืื—ืจื•ื ื™ื.
ื’ื™ืฉื” ื–ื• ืขื‘ื“ื” ื˜ื•ื‘ ื‘ืžื™ื•ื—ื“ ืขื‘ื•ืจ ื”ืœืงื•ื— ืฉืœื ื•, ืฉืขื‘ื•ืจื• ื”ื™ื” ืงืจื™ื˜ื™ ืœื ืœื”ืžืœื™ืฅ โ€‹โ€‹ืขืœ ืฉื•ื ื“ื‘ืจ ืฉื›ื‘ืจ ื ืžืฆื ื‘ื”ื™ืกื˜ื•ืจื™ื™ืช ื”ืจื›ื™ืฉื•ืช ืฉืœ ื”ืžืฉืชืžืฉ.

ืชืงื•ืคืช ืจื›ื™ืฉื” ืžืื•ื—ืจืช

ื›ืคื™ ืฉื›ื‘ืจ ื’ื™ืœื™ื ื•, ื‘ืฉืœ ื”ืชื“ื™ืจื•ืช ื”ื’ื‘ื•ื”ื” ืฉืœ ืจื›ื™ืฉืช ืžื•ืฆืจื™ื, ื”ื’ื™ืฉื” ื”ืจืืฉื•ื ื” ืขื•ื‘ื“ืช ื”ื™ื˜ื‘ ืขื‘ื•ืจ ื”ืฆืจื›ื™ื ื”ืกืคืฆื™ืคื™ื™ื ืฉืœื ื•. ืื‘ืœ ืžื” ืœื’ื‘ื™ ืžื•ืฆืจื™ื ื›ืžื• ืื‘ืงืช ื›ื‘ื™ืกื”/ืฉืžืคื•/ื•ื›ื•'. ื›ืœื•ืžืจ, ืขื ืžื•ืฆืจื™ื ืฉืกื‘ื™ืจ ืฉืœื ื™ื”ื™ื” ืฆื•ืจืš ื‘ื”ื ื›ืœ ืฉื‘ื•ืข ืื• ืฉื‘ื•ืขื™ื™ื ื•ืฉืฉื™ื˜ื•ืช ืงื•ื“ืžื•ืช ืœื ื™ื›ื•ืœื•ืช ืœื—ืœืฅ. ื–ื” ืžื•ื‘ื™ืœ ืœืจืขื™ื•ืŸ ื”ื‘ื - ืžื•ืฆืข ืœื—ืฉื‘ ืืช ืชืงื•ืคืช ื”ืจื›ื™ืฉื” ืฉืœ ื›ืœ ืžื•ืฆืจ ื‘ืžืžื•ืฆืข ืœืœืงื•ื—ื•ืช ืฉืจื›ืฉื• ืืช ื”ืžื•ืฆืจ ื™ื•ืชืจ k ืคึผึทืขึทื. ื•ืื– ืœื—ืœืฅ ืืช ืžื” ืฉืกื‘ื™ืจ ืœื”ื ื™ื— ืฉื›ื‘ืจ ืื–ืœ ืœืงื•ื ื”. ื ื™ืชืŸ ืœื‘ื“ื•ืง ืืช ื”ืชืงื•ืคื•ืช ื”ืžื—ื•ืฉื‘ื•ืช ืขื‘ื•ืจ ืกื—ื•ืจื•ืช ื‘ืขื™ื ื™ื™ื ืœื’ื‘ื™ ื”ืœื™ืžื•ืช:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื•ืื– ื ื‘ื“ื•ืง ืื ืกื•ืฃ ืชืงื•ืคืช ื”ืžื•ืฆืจ ื ื•ืคืœ ื‘ืžืจื•ื•ื— ื”ื–ืžืŸ ืฉื‘ื• ื”ื”ืžืœืฆื•ืช ื™ื”ื™ื• ื‘ื™ื™ืฆื•ืจ ื•ื ื“ื’ื•ื ืžื” ืงื•ืจื”. ื ื™ืชืŸ ืœื”ืžื—ื™ืฉ ืืช ื”ื’ื™ืฉื” ื›ืš:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื™ืฉ ืœื ื• 2 ืžืงืจื™ื ืขื™ืงืจื™ื™ื ืฉื ื™ืชืŸ ืœืฉืงื•ืœ:

  1. ื”ืื ื™ืฉ ืฆื•ืจืš ืœื“ื’ื•ื ืžื•ืฆืจื™ื ืžืœืงื•ื—ื•ืช ืฉืจื›ืฉื• ืืช ื”ืžื•ืฆืจ ืคื—ื•ืช ืž-K ืคืขืžื™ื.
  2. ื”ืื ื™ืฉ ืฆื•ืจืš ืœื“ื’ื•ื ืžื•ืฆืจ ืื ืกื•ืฃ ืชืงื•ืคืชื• ื—ืœ ืœืคื ื™ ืชื—ื™ืœืช ืžืจื•ื•ื— ื”ื™ืขื“.

ื”ื’ืจืฃ ื”ื‘ื ืžืฆื™ื’ ืื™ืœื• ืชื•ืฆืื•ืช ืžืฉื™ื’ื” ืฉื™ื˜ื” ื–ื• ืขื ื”ื™ืคืจืคืจืžื˜ืจื™ื ืฉื•ื ื™ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
ft โ€” ืงื— ืจืง ืœืงื•ื—ื•ืช ืฉืจื›ืฉื• ืืช ื”ืžื•ืฆืจ ืœืคื—ื•ืช K (ื›ืืŸ K=5) ืคืขืžื™ื
tm - ืงื— ืจืง ืžื•ืขืžื“ื™ื ื”ื ื•ืคืœื™ื ื‘ืžืจื•ื•ื— ื”ื™ืขื“

ื–ื” ืœื ืžืคืชื™ืข ืฉื”ื•ื ืžืกื•ื’ืœ (0, 0) ื”ื›ื™ ื’ื“ื•ืœ ื–ื•ื›ืจ ื•ื”ืงื˜ืŸ ื‘ื™ื•ืชืจ ื“ื™ื•ืง, ืฉื›ืŸ ื‘ืชื ืื™ ื–ื” ืžื—ื–ื™ืจื™ื ืืช ืžื™ืจื‘ ื”ืžื•ืขืžื“ื™ื. ืขื ื–ืืช, ื”ืชื•ืฆืื•ืช ื”ื˜ื•ื‘ื•ืช ื‘ื™ื•ืชืจ ืžื•ืฉื’ื•ืช ื›ืืฉืจ ืื ื• ืœื ื“ื•ื’ืžื™ื ืžื•ืฆืจื™ื ืขื‘ื•ืจ ืœืงื•ื—ื•ืช ืฉืงื ื• ืžื•ืฆืจ ืžืกื•ื™ื ื‘ืคื—ื•ืช ืž k ื–ืžื ื™ื ื•ืชืžืฆื™ืช, ืœืจื‘ื•ืช ืกื—ื•ืจื•ืช ืฉืกื•ืฃ ื”ืชืงื•ืคื” ืฉืœื”ืŸ ื—ืœ ืœืคื ื™ ืžืจื•ื•ื— ื”ื™ืขื“.

ืคื•ืคื•ืœืจื™ ืœืคื™ ืงื˜ื’ื•ืจื™ื•ืช

ืจืขื™ื•ืŸ ื“ื™ ื‘ืจื•ืจ ื ื•ืกืฃ ื”ื•ื ืœื“ื’ื•ื ืžื•ืฆืจื™ื ืคื•ืคื•ืœืจื™ื™ื ื‘ืงื˜ื’ื•ืจื™ื•ืช ืื• ืžื•ืชื’ื™ื ืฉื•ื ื™ื. ื›ืืŸ ืื ื• ืžื—ืฉื‘ื™ื ืขื‘ื•ืจ ื›ืœ ืงื•ื ื” top-k ืงื˜ื’ื•ืจื™ื•ืช/ืžื•ืชื’ื™ื "ืžื•ืขื“ืคื™ื" ื•ื—ืœืฅ "ืคื•ืคื•ืœืจื™" ืžืงื˜ื’ื•ืจื™ื”/ืžื•ืชื’ ื–ื”. ื‘ืžืงืจื” ืฉืœื ื•, ื ืงื‘ืข "ืžื•ืขื“ืฃ" ื•"ืคื•ืคื•ืœืจื™" ืœืคื™ ืžืกืคืจ ื”ืจื›ื™ืฉื•ืช ืฉืœ ื”ืžื•ืฆืจ. ื™ืชืจื•ืŸ ื ื•ืกืฃ ืฉืœ ื’ื™ืฉื” ื–ื• ื”ื•ื ื™ืฉื™ืžื•ืชื” ื‘ืžืงืจื” ืฉืœ ื”ืชื—ืœื” ืงืจื”. ื›ืœื•ืžืจ, ืœืœืงื•ื—ื•ืช ืฉื‘ื™ืฆืขื• ืžืขื˜ ืžืื•ื“ ืจื›ื™ืฉื•ืช, ืื• ืฉืœื ื”ื™ื• ื‘ื—ื ื•ืช ื”ืจื‘ื” ื–ืžืŸ, ืื• ืฉื–ื” ืขืชื” ื”ื ืคื™ืงื• ื›ืจื˜ื™ืก ื ืืžื ื•ืช. ืขื‘ื•ืจื, ืงืœ ื•ื˜ื•ื‘ ื™ื•ืชืจ ืœื”ื—ื–ื™ืง ืคืจื™ื˜ื™ื ืคื•ืคื•ืœืจื™ื™ื ื‘ืงืจื‘ ืœืงื•ื—ื•ืช ื•ื‘ืขืœื™ ื”ื™ืกื˜ื•ืจื™ื”. ื”ืžื“ื“ื™ื ื”ืžืชืงื‘ืœื™ื ื”ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
ื›ืืŸ ื”ืžืกืคืจ ืื—ืจื™ ื”ืžื™ืœื” "ืงื˜ื’ื•ืจื™ื”" ืคื™ืจื•ืฉื• ืจืžืช ื”ืงื™ื ื•ืŸ ืฉืœ ื”ืงื˜ื’ื•ืจื™ื”.

ื‘ืกืš ื”ื›ืœ, ื–ื” ื’ื ืœื ืžืคืชื™ืข ืฉืงื˜ื’ื•ืจื™ื•ืช ืฆืจื•ืช ื™ื•ืชืจ ืžืฉื™ื’ื•ืช ืชื•ืฆืื•ืช ื˜ื•ื‘ื•ืช ื™ื•ืชืจ, ืžื›ื™ื•ื•ืŸ ืฉื”ืŸ ืžื—ืœืฆื•ืช ืžื•ืฆืจื™ื "ืžื•ืขื“ืคื™ื" ืžื“ื•ื™ืงื™ื ื™ื•ืชืจ ืœืงื•ื ื™ื.

ืจื›ื™ืฉื•ืช ื—ืœื•ืคื™ื•ืช ืฉืœ ืกื—ื•ืจื•ืช ืฉื•ื ื•ืช ืžืฉื‘ื•ืข ืœืฉื‘ื•ืข

ื’ื™ืฉื” ืžืขื ื™ื™ื ืช ืฉืœื ืจืื™ืชื™ ื‘ืžืืžืจื™ื ืขืœ ืžืขืจื›ื•ืช ืžืžืœื™ืฆื™ื ื”ื™ื ืฉื™ื˜ื” ืกื˜ื˜ื™ืกื˜ื™ืช ื“ื™ ืคืฉื•ื˜ื” ื•ื‘ื• ื–ืžื ื™ืช ืขื•ื‘ื“ืช ืฉืœ ืจืฉืชื•ืช ืžืจืงื•ื‘. ื›ืืŸ ืื ื—ื ื• ืœื•ืงื—ื™ื 2 ืฉื‘ื•ืขื•ืช ืฉื•ื ื™ื, ื•ืื– ืœื›ืœ ืœืงื•ื— ืื ื—ื ื• ื‘ื•ื ื™ื ื–ื•ื’ื•ืช ืฉืœ ืžื•ืฆืจื™ื [ืงื ื” ื‘ืฉื‘ื•ืข i]-[ืงื ื” ื‘ืฉื‘ื•ืข ื™], ื›ืืฉืจ j > i, ื•ืžื›ืืŸ ืื ื• ืžื—ืฉื‘ื™ื ืขื‘ื•ืจ ื›ืœ ืžื•ืฆืจ ืืช ื”ื”ืกืชื‘ืจื•ืช ืœืขื‘ื•ืจ ืœืžื•ืฆืจ ืื—ืจ ื‘ืฉื‘ื•ืข ื”ื‘ื. ื›ืœื•ืžืจ, ืœื›ืœ ื–ื•ื’ ืกื—ื•ืจื” producti-productj ืื ื• ืกื•ืคืจื™ื ืืช ืžืกืคืจื ื‘ื–ื•ื’ื•ืช ืฉื ืžืฆืื• ื•ืžื—ืœืงื™ื ื‘ืžืกืคืจ ื”ื–ื•ื’ื•ืช, ื”ื™ื›ืŸ ืžื•ืฆืจื™ื ื”ื™ื” ื‘ืฉื‘ื•ืข ื”ืจืืฉื•ืŸ. ื›ื“ื™ ืœื—ืœืฅ ืžื•ืขืžื“ื™ื, ืื ื• ืœื•ืงื—ื™ื ืืช ื”ืงื‘ืœื” ื”ืื—ืจื•ื ื” ืฉืœ ื”ืงื•ื ื” ื•ืžื—ืœืฆื™ื top-k ื”ืžื•ืฆืจื™ื ื”ื‘ืื™ื ื”ืกื‘ื™ืจื™ื ื‘ื™ื•ืชืจ ืžืžื˜ืจื™ืฆืช ื”ืžืขื‘ืจ ืฉืงื™ื‘ืœื ื•. ืชื”ืœื™ืš ื‘ื ื™ื™ืช ืžื˜ืจื™ืฆืช ืžืขื‘ืจ ื ืจืื” ื›ืš:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืžื“ื•ื’ืžืื•ืช ืืžื™ืชื™ื•ืช ื‘ืžื˜ืจื™ืฆืช ื”ืกืชื‘ืจื•ืช ื”ืžืขื‘ืจ ืื ื• ืจื•ืื™ื ืืช ื”ืชื•ืคืขื•ืช ื”ืžืขื ื™ื™ื ื•ืช ื”ื‘ืื•ืช:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
ื›ืืŸ ืืคืฉืจ ืœื”ื‘ื—ื™ืŸ ื‘ืชืœื•ืช ืžืขื ื™ื™ื ื•ืช ืฉืžืชื’ืœื•ืช ื‘ื”ืชื ื”ื’ื•ืช ื”ืฆืจื›ื ื™ื: ืœืžืฉืœ ืื•ื”ื‘ื™ ืคื™ืจื•ืช ื”ื“ืจ ืื• ืžื•ืชื’ ื—ืœื‘ ืฉืžืžื ื• ื”ื ืฆืคื•ื™ื™ื ืœืขื‘ื•ืจ ืœืื—ืจ. ื–ื” ื’ื ืœื ืžืคืชื™ืข ืฉื’ื ืžื•ืฆืจื™ื ืขื ืชื“ื™ืจื•ืช ื’ื‘ื•ื”ื” ืฉืœ ืงื ื™ื•ืช ื—ื•ื–ืจื•ืช, ื›ืžื• ื—ืžืื”, ืžื’ื™ืขื™ื ืœื›ืืŸ.

ื”ืžื“ื“ื™ื ื‘ืฉื™ื˜ื” ืขื ืจืฉืชื•ืช ืžืจืงื•ื‘ ื”ื ื›ื“ืœืงืžืŸ:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
k - ืžืกืคืจ ื”ืžื•ืฆืจื™ื ืฉื ืืกืคื• ืขื‘ื•ืจ ื›ืœ ืžื•ืฆืจ ืฉื ืจื›ืฉ ืžื”ืขืกืงื” ื”ืื—ืจื•ื ื” ืฉืœ ื”ืงื•ื ื”.
ื›ืคื™ ืฉืื ื• ื™ื›ื•ืœื™ื ืœืจืื•ืช, ื”ืชื•ืฆืื” ื”ื˜ื•ื‘ื” ื‘ื™ื•ืชืจ ืžื•ืฆื’ืช ืขืœ ื™ื“ื™ ื”ืชืฆื•ืจื” ืขื k=4. ืืช ื”ื–ื™ื ื•ืง ื‘ืฉื‘ื•ืข 4 ื ื™ืชืŸ ืœื”ืกื‘ื™ืจ ืขืœ ื™ื“ื™ ื”ืชื ื”ื’ื•ืช ืขื•ื ืชื™ืช ืกื‘ื™ื‘ ื”ื—ื’ื™ื. 

ืžื•ืฆืจื™ื ื“ื•ืžื™ื ืœืงื•ื ื™ื, ืœืคื™ ืžืืคื™ื™ื ื™ื ืฉื ื‘ื ื• ืขืœ ื™ื“ื™ ื“ื’ืžื™ื ืฉื•ื ื™ื

ื›ืขืช ื”ื’ืขื ื• ืœื—ืœืง ื”ืงืฉื” ื•ื”ืžืขื ื™ื™ืŸ ื‘ื™ื•ืชืจ โ€“ ื—ื™ืคื•ืฉ ื”ืฉื›ื ื™ื ื”ืงืจื•ื‘ื™ื ื‘ื™ื•ืชืจ ืขืœ ืกืžืš ื•ืงื˜ื•ืจื™ื ืฉืœ ืœืงื•ื—ื•ืช ื•ืžื•ืฆืจื™ื ื”ื‘ื ื•ื™ื™ื ืœืคื™ ื“ื’ืžื™ื ืฉื•ื ื™ื. ื‘ืขื‘ื•ื“ื” ืฉืœื ื• ืื ื• ืžืฉืชืžืฉื™ื ื‘-3 ื“ื’ืžื™ื ื›ืืœื”:

  • ALS
  • Word2Vec (Item2Vec ืขื‘ื•ืจ ืžืฉื™ืžื•ืช ื›ืืœื”)
  • DSSM

ื›ื‘ืจ ืขืกืงื ื• ื‘-ALS, ืืชื” ื™ื›ื•ืœ ืœืงืจื•ื ืื™ืš ื–ื” ืœื•ืžื“ ื›ืืŸ. ื‘ืžืงืจื” ืฉืœ Word2Vec, ืื ื• ืžืฉืชืžืฉื™ื ื‘ื™ื™ืฉื•ื ื”ื™ื“ื•ืข ืฉืœ ื”ืžื•ื“ืœ ืž ื’'ื ืกื™ื. ื‘ืื ืœื•ื’ื™ื” ืœื˜ืงืกื˜ื™ื, ืื ื• ืžื’ื“ื™ืจื™ื ืืช ื”ื”ืฆืขื” ื›ืงื‘ืœืช ืจื›ื™ืฉื”. ื›ืš, ื‘ืขืช ื‘ื ื™ื™ืช ื•ืงื˜ื•ืจ ืžื•ืฆืจ, ื”ืžื•ื“ืœ ืœื•ืžื“ ืœื—ื–ื•ืช ืขื‘ื•ืจ ื”ืžื•ืฆืจ ื‘ืงื‘ืœื” ืืช ื”"ื”ืงืฉืจ" ืฉืœื• (ืฉืืจ ื”ืžื•ืฆืจื™ื ื‘ืงื‘ืœื”). ื‘ื ืชื•ื ื™ ืžืกื—ืจ ืืœืงื˜ืจื•ื ื™, ืขื“ื™ืฃ ืœื”ืฉืชืžืฉ ื‘ืกืฉืŸ ืฉืœ ื”ืงื•ื ื” ื‘ืžืงื•ื ื‘ืงื‘ืœื”; ื”ื—ื‘ืจ'ื” ืž ืื•ื–ื•ืŸ. ื•-DSSM ื™ื•ืชืจ ืžืขื ื™ื™ืŸ ืœื ืชื—. ื‘ืชื—ื™ืœื”, ื–ื” ื ื›ืชื‘ ืขืœ ื™ื“ื™ ื”ื—ื‘ืจ'ื” ืžืžื™ืงืจื•ืกื•ืคื˜ ื›ืžื•ื“ืœ ืœื—ื™ืคื•ืฉ, ืืชื” ื™ื›ื•ืœ ืœืงืจื•ื ืืช ืขื‘ื•ื“ืช ื”ืžื—ืงืจ ื”ืžืงื•ืจื™ืช ื›ืืŸ. ื”ืืจื›ื™ื˜ืงื˜ื•ืจื” ืฉืœ ื”ื“ื’ื ื ืจืื™ืช ื›ืš:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื›ืืŸ Q - ืฉืื™ืœืชื”, ืฉืื™ืœืชืช ื—ื™ืคื•ืฉ ืžืฉืชืžืฉ, ื“[i] - ืžืกืžืš, ื“ืฃ ืื™ื ื˜ืจื ื˜. ื”ืงืœื˜ ืœืžื•ื“ืœ ื”ื•ื ื”ืชื›ื•ื ื•ืช ืฉืœ ื”ื‘ืงืฉื” ื•ื”ื“ืคื™ื, ื‘ื”ืชืืžื”. ืœืื—ืจ ื›ืœ ืฉื›ื‘ืช ืงืœื˜ ื™ืฉื ืŸ ืžืกืคืจ ืฉื›ื‘ื•ืช ืžื—ื•ื‘ืจื•ืช ื‘ืžืœื•ืืŸ (ืคืจืฆืคื˜ืจื•ืŸ ืจื‘ ืฉื›ื‘ืชื™). ืœืื—ืจ ืžื›ืŸ, ื”ืžื•ื“ืœ ืœื•ืžื“ ืœืžื–ืขืจ ืืช ื”ืงื•ืกื™ื ื•ืก ื‘ื™ืŸ ื”ื•ืงื˜ื•ืจื™ื ื”ืžืชืงื‘ืœื™ื ื‘ืฉื›ื‘ื•ืช ื”ืื—ืจื•ื ื•ืช ืฉืœ ื”ืžื•ื“ืœ.
ืžืฉื™ืžื•ืช ื”ืžืœืฆื•ืช ืžืฉืชืžืฉื•ืช ื‘ื“ื™ื•ืง ื‘ืื•ืชื” ืืจื›ื™ื˜ืงื˜ื•ืจื”, ืจืง ืฉื‘ืžืงื•ื ื‘ืงืฉื” ื™ืฉ ืžืฉืชืžืฉ, ื•ื‘ืžืงื•ื ื“ืคื™ื ื™ืฉ ืžื•ืฆืจื™ื. ื•ื‘ืžืงืจื” ืฉืœื ื•, ื”ืืจื›ื™ื˜ืงื˜ื•ืจื” ื”ื–ื• ื”ื•ืคื›ืช ืœื“ื‘ืจื™ื ื”ื‘ืื™ื:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื›ืขืช, ื›ื“ื™ ืœื‘ื“ื•ืง ืืช ื”ืชื•ืฆืื•ืช, ื ื•ืชืจ ืœื›ืกื•ืช ืืช ื”ื ืงื•ื“ื” ื”ืื—ืจื•ื ื” - ืื ื‘ืžืงืจื” ืฉืœ ALS ื•-DSSM ื”ื’ื“ืจื ื• ื‘ืžืคื•ืจืฉ ื•ืงื˜ื•ืจื™ื ืฉืœ ืžืฉืชืžืฉ, ืื– ื‘ืžืงืจื” ืฉืœ Word2Vec ื™ืฉ ืœื ื• ืจืง ื•ืงื˜ื•ืจื™ื ืฉืœ ืžื•ืฆืจ. ื›ืืŸ, ื›ื“ื™ ืœื‘ื ื•ืช ืืช ื•ืงื˜ื•ืจ ื”ืžืฉืชืžืฉ, ื”ื’ื“ืจื ื• 3 ื’ื™ืฉื•ืช ืขื™ืงืจื™ื•ืช:

  1. ืคืฉื•ื˜ ื”ื•ืกื™ืคื• ืืช ื”ื•ืงื˜ื•ืจื™ื, ื•ืื– ืœืžืจื—ืง ื”ืงื•ืกื™ื ื•ืก ืžืกืชื‘ืจ ืฉืคืฉื•ื˜ ืขืฉื™ื ื• ืžืžื•ืฆืข ืฉืœ ื”ืžื•ืฆืจื™ื ื‘ื”ื™ืกื˜ื•ืจื™ื™ืช ื”ืจื›ื™ืฉื”.
  2. ืกื™ื›ื•ื ื•ืงื˜ื•ืจ ืขื ืฉืงืœื•ืœ ื–ืžืŸ ืžืกื•ื™ื.
  3. ืฉืงื™ืœืช ืกื—ื•ืจื” ืขื ืžืงื“ื TF-IDF.

ื‘ืžืงืจื” ืฉืœ ืฉืงืœื•ืœ ืœื™ื ื™ืืจื™ ืฉืœ ื•ืงื˜ื•ืจ ื”ืงื•ื ื”, ืื ื• ื™ื•ืฆืื™ื ืžื”ื”ืฉืขืจื” ืฉืœืžื•ืฆืจ ืฉื”ืžืฉืชืžืฉ ืงื ื” ืืชืžื•ืœ ื™ืฉ ื”ืฉืคืขื” ื’ื“ื•ืœื” ื™ื•ืชืจ ืขืœ ื”ืชื ื”ื’ื•ืชื• ืžืืฉืจ ืœืžื•ืฆืจ ืฉืงื ื” โ€‹โ€‹ืœืคื ื™ ื—ืฆื™ ืฉื ื”. ืื– ืื ื—ื ื• ืจื•ืื™ื ืืช ื”ืฉื‘ื•ืข ื”ืงื•ื“ื ืฉืœ ื”ืงื•ื ื” ื‘ืกื™ื›ื•ื™ื™ื ืฉืœ 1, ื•ืืช ืžื” ืฉืงืจื” ืื—ืจ ื›ืš ืขื ืกื™ื›ื•ื™ื™ื ืฉืœ ยฝ, โ…“ ื•ื›ื•':
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืขื‘ื•ืจ ืžืงื“ืžื™ TF-IDF, ืื ื• ืขื•ืฉื™ื ื‘ื“ื™ื•ืง ื›ืžื• ื‘-TF-IDF ืขื‘ื•ืจ ื˜ืงืกื˜ื™ื, ืจืง ืฉืื ื• ืจื•ืื™ื ืืช ื”ืงื•ื ื” ื›ืžืกืžืš, ื•ืืช ื”ืฆ'ืง ื›ื”ืฆืขื”, ื‘ื”ืชืืžื”, ื”ืžื™ืœื” ื”ื™ื ืžื•ืฆืจ. ื‘ื“ืจืš ื–ื•, ื”ื•ื•ืงื˜ื•ืจ ืฉืœ ื”ืžืฉืชืžืฉ ื™ืขื‘ื•ืจ ื™ื•ืชืจ ืœื›ื™ื•ื•ืŸ ืžื•ืฆืจื™ื ื ื“ื™ืจื™ื, ื‘ืขื•ื“ ืฉืžื•ืฆืจื™ื ืชื›ื•ืคื™ื ื•ืžื•ื›ืจื™ื ืขื‘ื•ืจ ื”ืงื•ื ื” ืœื ื™ืฉื ื• ืื•ืชื• ื”ืจื‘ื”. ื ื™ืชืŸ ืœื”ืžื—ื™ืฉ ืืช ื”ื’ื™ืฉื” ื›ืš:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืขื›ืฉื™ื• ื‘ื•ืื• ื ืกืชื›ืœ ืขืœ ื”ืžื“ื“ื™ื. ื›ืš ื ืจืื•ืช ืชื•ืฆืื•ืช ื”-ALS:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
ืžื“ื“ื™ื ืขื‘ื•ืจ Item2Vec ืขื ื•ืจื™ืืฆื™ื•ืช ืฉื•ื ื•ืช ืฉืœ ื‘ื ื™ื™ืช ื•ืงื˜ื•ืจ ื”ืงื•ื ื”:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
ื‘ืžืงืจื” ื–ื”, ื‘ื“ื™ื•ืง ืื•ืชื• ืžื•ื“ืœ ืžืฉืžืฉ ื›ืžื• ื‘ืงื• ื”ื‘ืกื™ืก ืฉืœื ื•. ื”ื”ื‘ื“ืœ ื”ื™ื—ื™ื“ ื”ื•ื ื‘ืื™ื–ื• k ื ืฉืชืžืฉ. ืขืœ ืžื ืช ืœื”ืฉืชืžืฉ ืจืง ื‘ืžื•ื“ืœื™ื ืฉื™ืชื•ืคื™ื™ื, ื™ืฉ ืœืงื—ืช ื›-50-70 ืžื•ืฆืจื™ื ื”ืงืจื•ื‘ื™ื ื‘ื™ื•ืชืจ ืœื›ืœ ืœืงื•ื—.

ื•ืžื“ื“ื™ื ืœืคื™ DSSM:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืื™ืš ืœืฉืœื‘ ืืช ื›ืœ ื”ืฉื™ื˜ื•ืช?

ืžื’ื ื™ื‘, ืืชื” ืื•ืžืจ, ืื‘ืœ ืžื” ืœืขืฉื•ืช ืขื ืกื˜ ื’ื“ื•ืœ ื›ืœ ื›ืš ืฉืœ ื›ืœื™ ื—ื™ืœื•ืฅ ืžื•ืขืžื“ื™ื? ื›ื™ืฆื“ ืœื‘ื—ื•ืจ ืืช ื”ืชืฆื•ืจื” ื”ืื•ืคื˜ื™ืžืœื™ืช ืขื‘ื•ืจ ื”ื ืชื•ื ื™ื ืฉืœืš? ื›ืืŸ ื™ืฉ ืœื ื• ืžืกืคืจ ื‘ืขื™ื•ืช:

  1. ื™ืฉ ืฆื•ืจืš ืœื”ื’ื‘ื™ืœ ืื™ื›ืฉื”ื• ืืช ืžืจื—ื‘ ื”ื—ื™ืคื•ืฉ ืขื‘ื•ืจ ื”ื™ืคืจืคืจืžื˜ืจื™ื ื‘ื›ืœ ืฉื™ื˜ื”. ื–ื” ื›ืžื•ื‘ืŸ ื“ื™ืกืงืจื˜ื™ ื‘ื›ืœ ืžืงื•ื, ืื‘ืœ ืžืกืคืจ ื”ื ืงื•ื“ื•ืช ื”ืืคืฉืจื™ื•ืช ื’ื“ื•ืœ ืžืื•ื“.
  2. ื‘ืืžืฆืขื•ืช ืžื“ื’ื ืžืฆื•ืžืฆื ืงื˜ืŸ ืฉืœ ืฉื™ื˜ื•ืช ืกืคืฆื™ืคื™ื•ืช ืขื ื”ื™ืคืจืคืจืžื˜ืจื™ื ืกืคืฆื™ืคื™ื™ื, ื›ื™ืฆื“ ืชื•ื›ืœ ืœื‘ื—ื•ืจ ืืช ื”ืชืฆื•ืจื” ื”ื˜ื•ื‘ื” ื‘ื™ื•ืชืจ ืขื‘ื•ืจ ื”ืžื“ื“ ืฉืœืš?

ืขื“ื™ื™ืŸ ืœื ืžืฆืื ื• ืชืฉื•ื‘ื” ื ื›ื•ื ื” ืกื•ืคื™ืช ืœืฉืืœื” ื”ืจืืฉื•ื ื”, ืื– ื ืžืฉื™ืš ืžื”ื“ื‘ืจื™ื ื”ื‘ืื™ื: ืขื‘ื•ืจ ื›ืœ ืฉื™ื˜ื” ื ื›ืชื‘ ืžื’ื‘ื™ืœ ื—ื™ืคื•ืฉ ื”ื™ืคืจืคืจืžื˜ืจ, ื‘ื”ืชืื ืœื›ืžื” ืกื˜ื˜ื™ืกื˜ื™ืงื•ืช ืขืœ ื”ื ืชื•ื ื™ื ืฉื‘ืจืฉื•ืชื ื•. ืœืคื™ื›ืš, ืœื“ืขืช ืืช ื”ืชืงื•ืคื” ื”ืžืžื•ืฆืขืช ื‘ื™ืŸ ืจื›ื™ืฉื•ืช ืžืื ืฉื™ื, ืื ื• ื™ื›ื•ืœื™ื ืœื ื—ืฉ ื‘ืื™ื–ื• ืชืงื•ืคื” ืœื”ืฉืชืžืฉ ื‘ืฉื™ื˜ืช "ืžื” ื›ื‘ืจ ื ืงื ื”" ื•"ืชืงื•ืคื” ืฉืœ ืจื›ื™ืฉื” ืฉืขื‘ืจื” ื”ืจื‘ื” ื–ืžืŸ".

ื•ืื—ืจื™ ืฉืขื‘ืจื ื• ืžืกืคืจ ื”ื•ืœื ืžืกื•ื™ื ืฉืœ ื•ืจื™ืืฆื™ื•ืช ืฉืœ ืฉื™ื˜ื•ืช ืฉื•ื ื•ืช, ื ืฆื™ื™ืŸ ืืช ื”ื“ื‘ืจื™ื ื”ื‘ืื™ื: ื›ืœ ื™ื™ืฉื•ื ืžื—ืœืฅ ืžืกืคืจ ืžืกื•ื™ื ืฉืœ ืžื•ืขืžื“ื™ื ื•ื™ืฉ ืœื• ืขืจืš ืžืกื•ื™ื ืฉืœ ืžื“ื“ ื”ืžืคืชื— ืขื‘ื•ืจื ื• (ืจื™ืงื•ืœ). ืื ื—ื ื• ืจื•ืฆื™ื ืœืงื‘ืœ ืกืš ืฉืœ ืžืกืคืจ ืžืกื•ื™ื ืฉืœ ืžื•ืขืžื“ื™ื, ื‘ื”ืชืื ืœื›ื•ื— ื”ืžื—ืฉื•ื‘ ื”ืžื•ืชืจ ืฉืœื ื•, ืขื ื”ืžื“ื“ ื”ื’ื‘ื•ื” ื‘ื™ื•ืชืจ ื”ืืคืฉืจื™. ื›ืืŸ ื”ื‘ืขื™ื” ืงื•ืจืกืช ื™ืคื” ืœื‘ืขื™ื™ืช ื”ืชืจืžื™ืœ.
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ื›ืืŸ ืžืกืคืจ ื”ืžื•ืขืžื“ื™ื ื”ื•ื ืžืฉืงืœ ื”ืžื˜ื™ืœ, ื•ืฉื™ื˜ืช ื”ืจื™ืงื•ืœ ื”ื™ื ืขืจื›ื•. ืขื ื–ืืช, ื™ืฉ ืขื•ื“ 2 ื ืงื•ื“ื•ืช ืฉื™ืฉ ืœืงื—ืช ื‘ื—ืฉื‘ื•ืŸ ื‘ืขืช โ€‹โ€‹ื™ื™ืฉื•ื ื”ืืœื’ื•ืจื™ืชื:

  • ื™ื™ืชื›ืŸ ืฉืœืฉื™ื˜ื•ืช ื™ืฉ ื—ืคื™ืคื” ื‘ืžื•ืขืžื“ื™ื ืฉื”ื ืžืื—ื–ืจื™ื.
  • ื‘ืžืงืจื™ื ืžืกื•ื™ืžื™ื, ื™ื”ื™ื” ื ื›ื•ืŸ ืœืงื—ืช ืฉื™ื˜ื” ืื—ืช ืคืขืžื™ื™ื ืขื ืคืจืžื˜ืจื™ื ืฉื•ื ื™ื, ื•ื”ืคืœื˜ ื”ืžื•ืขืžื“ ืžื”ืจืืฉื•ืŸ ืœื ื™ื”ื™ื” ืชืช-ืงื‘ื•ืฆื” ืฉืœ ื”ืฉื ื™ื™ื”.

ืœื“ื•ื’ืžื”, ืื ื ื™ืงื— ืืช ื”ื™ื™ืฉื•ื ืฉืœ ืฉื™ื˜ืช "ืžื” ื›ื‘ืจ ืงื ื™ืชื™" ืขื ืžืจื•ื•ื—ื™ื ืฉื•ื ื™ื ืœืื—ื–ื•ืจ, ืื– ืงื‘ื•ืฆื•ืช ื”ืžื•ืขืžื“ื™ื ืฉืœื”ื ื™ื”ื™ื• ืžืงื•ื ื ื•ืช ื–ื• ื‘ืชื•ืš ื–ื•. ื™ื—ื“ ืขื ื–ืืช, ืคืจืžื˜ืจื™ื ืฉื•ื ื™ื ื‘"ืจื›ื™ืฉื•ืช ืชืงื•ืคืชื™ื•ืช" ื‘ื™ืฆื™ืื” ืื™ื ื ืžืกืคืงื™ื ืฆื•ืžืช ืžื•ื—ืœื˜. ืœื›ืŸ, ืื ื• ืžื—ืœืงื™ื ืืช ื’ื™ืฉื•ืช ื”ื“ื’ื™ืžื” ืขื ืคืจืžื˜ืจื™ื ืฉื•ื ื™ื ืœื‘ืœื•ืงื™ื ื›ืš ืฉืžื›ืœ ื‘ืœื•ืง ื ืจืฆื” ืœื ืงื•ื˜ ืœื›ืœ ื”ื™ื•ืชืจ ื’ื™ืฉืช ืžื™ืฆื•ื™ ืื—ืช ืขื ื”ื™ืคืจืคืจืžื˜ืจื™ื ืกืคืฆื™ืคื™ื™ื. ื›ื“ื™ ืœืขืฉื•ืช ื–ืืช, ืืชื” ืฆืจื™ืš ืœื”ืชื—ื›ื ืงืฆืช ื‘ื™ื™ืฉื•ื ื‘ืขื™ื™ืช ื”ื›ื ืืคื”, ืื‘ืœ ื”ืืกื™ืžืคื˜ื•ื˜ื™ืงื” ื•ื”ืชื•ืฆืื” ืœื ื™ืฉืชื ื•.

ื”ืฉื™ืœื•ื‘ ื”ื—ื›ื ื”ื–ื” ืžืืคืฉืจ ืœื ื• ืœืงื‘ืœ ืืช ื”ืžื“ื“ื™ื ื”ื‘ืื™ื ื‘ื”ืฉื•ื•ืื” ืœืžื•ื“ืœื™ื ืคืฉื•ื˜ื™ื ืฉืœ ืฉื™ืชื•ืฃ ืคืขื•ืœื”:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
ื‘ืžื“ื“ื™ื ื”ืกื•ืคื™ื™ื ืื ื• ืจื•ืื™ื ืืช ื”ืชืžื•ื ื” ื”ื‘ืื”:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืขื ื–ืืช, ื›ืืŸ ืืชื” ื™ื›ื•ืœ ืœืฉื™ื ืœื‘ ืฉื™ืฉ ื ืงื•ื“ื” ืื—ืช ืœื ืžื›ื•ืกื” ืœื”ืžืœืฆื•ืช ืฉืžื•ืขื™ืœื•ืช ืœืขืกืงื™ื. ืขื›ืฉื™ื• ื‘ื“ื™ื•ืง ืœืžื“ื ื• ืื™ืš ืœืขืฉื•ืช ืขื‘ื•ื“ื” ืžืฆื•ื™ื ืช ืœื—ื–ื•ืช ืžื” ื”ืžืฉืชืžืฉ ื™ืงื ื”, ืœืžืฉืœ, ื‘ืฉื‘ื•ืข ื”ื‘ื. ืื‘ืœ ืคืฉื•ื˜ ืœืชืช ื”ื ื—ื” ืขืœ ืžืฉื”ื• ืฉื”ื•ื ื›ื‘ืจ ื™ืงื ื” ื–ื” ืœื ืžืื•ื“ ืžื’ื ื™ื‘. ืื‘ืœ ื–ื” ืžื’ื ื™ื‘ ืœืžืงืกื ืืช ื”ืฆื™ืคื™ื™ื”, ืœืžืฉืœ, ืžื”ืžื“ื“ื™ื ื”ื‘ืื™ื:

  1. ืžืจื•ื•ื—/ืžื—ื–ื•ืจ ืœืคื™ ื”ืžืœืฆื•ืช ืื™ืฉื™ื•ืช.
  2. ืฆ'ืง ืœืงื•ื— ืžืžื•ืฆืข.
  3. ืชื“ื™ืจื•ืช ื”ื‘ื™ืงื•ืจื™ื.

ืื– ืื ื—ื ื• ืžื›ืคื™ืœื™ื ืืช ื”ื”ืกืชื‘ืจื•ื™ื•ืช ืฉื”ืชืงื‘ืœื• ื‘ืžืงื“ืžื™ื ืฉื•ื ื™ื ื•ืžื“ืจื’ื™ื ืื•ืชื ืžื—ื“ืฉ ื›ืš ืฉื”ืžื•ืฆืจื™ื ื”ืžืฉืคื™ืขื™ื ืขืœ ื”ืžื“ื“ื™ื ืฉืœืžืขืœื” ื™ื’ื™ืขื• ืœืจืืฉ. ืื™ืŸ ืคืชืจื•ืŸ ืžื•ื›ืŸ ืœืื™ื–ื• ื’ื™ืฉื” ื”ื›ื™ ื›ื“ืื™ ืœื”ืฉืชืžืฉ. ืื ื—ื ื• ืืคื™ืœื• ืžืชื ืกื™ื ื‘ืžืงื“ืžื™ื ื›ืืœื” ื™ืฉื™ืจื•ืช ื‘ื™ื™ืฆื•ืจ. ืื‘ืœ ื”ื ื” ื˜ื›ื ื™ืงื•ืช ืžืขื ื™ื™ื ื•ืช ืฉืœืจื•ื‘ ื ื•ืชื ื•ืช ืœื ื• ืืช ื”ืชื•ืฆืื•ืช ื”ื˜ื•ื‘ื•ืช ื‘ื™ื•ืชืจ:

  1. ื”ื›ืคืœ ื‘ืžื—ื™ืจ/ื”ืจื•ื•ื— ืฉืœ ื”ืžื•ืฆืจ.
  2. ื”ื›ืคืœ ื‘ืงื‘ืœื” ื”ืžืžื•ืฆืขืช ื‘ื” ืžื•ืคื™ืข ื”ืžื•ืฆืจ. ืื– ืชืขืœื” ืกื—ื•ืจื”, ืื™ืชื” ื”ื ื‘ื“ืจืš ื›ืœืœ ืœื•ืงื—ื™ื ืžืฉื”ื• ืื—ืจ.
  3. ื”ื›ืคืœ ื‘ืชื“ื™ืจื•ืช ื”ื‘ื™ืงื•ืจ ื”ืžืžื•ืฆืขืช ืฉืœ ืงื•ื ื™ื ืฉืœ ืžื•ืฆืจ ื–ื”, ื‘ื”ืชื‘ืกืก ืขืœ ื”ื”ืฉืขืจื” ืฉืžื•ืฆืจ ื–ื” ืžืขื•ืจืจ ืื ืฉื™ื ืœื—ื–ื•ืจ ืืœื™ื• ืœืขืชื™ื ืงืจื•ื‘ื•ืช ื™ื•ืชืจ.

ืœืื—ืจ ืขืจื™ื›ืช ื ื™ืกื•ื™ื™ื ืขื ืžืงื“ืžื™ื, ื”ืฉื’ื ื• ืืช ื”ืžื“ื“ื™ื ื”ื‘ืื™ื ื‘ื™ื™ืฆื•ืจ:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช
ื›ืืŸ ื”ืžืจืช ืžื•ืฆืจื™ื ื›ื•ืœืœืช - ื—ืœืงื ืฉืœ ื”ืžื•ืฆืจื™ื ืฉื ืจื›ืฉื• ืžืชื•ืš ื›ืœ ื”ืžื•ืฆืจื™ื ื‘ื”ืžืœืฆื•ืช ืฉื”ืคืงื ื•.

ื”ืงื•ืจื ื”ืงืฉื•ื‘ ื™ื‘ื—ื™ืŸ ื‘ื”ื‘ื“ืœ ืžืฉืžืขื•ืชื™ ื‘ื™ืŸ ืžื“ื“ื™ื ืœื ืžืงื•ื•ื ื™ื ืœืื•ื ืœื™ื™ืŸ. ื”ืชื ื”ื’ื•ืช ื–ื• ืžื•ืกื‘ืจืช ื‘ื›ืš ืฉืœื ื ื™ืชืŸ ืœืงื—ืช ื‘ื—ืฉื‘ื•ืŸ ืืช ื›ืœ ื”ืžืกื ื ื™ื ื”ื“ื™ื ืžื™ื™ื ืœืžื•ืฆืจื™ื ืฉื ื™ืชืŸ ืœื”ืžืœื™ืฅ โ€‹โ€‹ืขืœื™ื”ื ื‘ืขืช ืื™ืžื•ืŸ ื”ื“ื’ื. ืขื‘ื•ืจื ื•, ื–ื” ืกื™ืคื•ืจ ื ื•ืจืžืœื™ ื›ืืฉืจ ื ื™ืชืŸ ืœืกื ืŸ ืžื—ืฆื™ืช ืžื”ืžื•ืขืžื“ื™ื ืฉืื•ื—ื–ืจื•; ื”ืกืคืฆื™ืคื™ื•ืช ื”ื–ื• ืื•ืคื™ื™ื ื™ืช ื‘ืชืขืฉื™ื™ื” ืฉืœื ื•.

ืžื‘ื—ื™ื ืช ื”ื›ื ืกื•ืช ืžืชืงื‘ืœ ื”ืกื™ืคื•ืจ ื”ื‘ื, ื‘ืจื•ืจ ืฉืื—ืจื™ ื”ืฉืงืช ื”ื”ืžืœืฆื•ืช ื”ื”ื›ื ืกื•ืช ืฉืœ ืงื‘ื•ืฆืช ื”ื‘ื“ื™ืงื•ืช ืฆื•ืžื—ื•ืช ืžืื•ื“, ื›ืขืช ื”ื’ื™ื“ื•ืœ ื”ืžืžื•ืฆืข ื‘ื”ื›ื ืกื•ืช ืขื ื”ื”ืžืœืฆื•ืช ืฉืœื ื• ื”ื•ื 3-4%:
ื›ื™ืฆื“ ืฉื™ืคืจื ื• ื‘ืื•ืคืŸ ื“ืจืžื˜ื™ ืืช ืื™ื›ื•ืช ื”ื”ืžืœืฆื•ืช ื‘ืงืžืขื•ื ืื•ืช ืœื ืžืงื•ื•ื ืช

ืœืกื™ื›ื•ื, ืื ื™ ืจื•ืฆื” ืœื•ืžืจ ืฉืื ืืชื” ืฆืจื™ืš ื”ืžืœืฆื•ืช ืฉืื™ื ืŸ ื‘ื–ืžืŸ ืืžืช, ืื– ื ื™ืชืŸ ืœืžืฆื•ื ืขืœื™ื™ื” ื’ื“ื•ืœื” ืžืื•ื“ ื‘ืื™ื›ื•ืช ื‘ื ื™ืกื•ื™ื™ื ื‘ื—ื™ืœื•ืฅ ืžื•ืขืžื“ื™ื ืœื”ืžืœืฆื•ืช. ื›ืžื•ืช ื’ื“ื•ืœื” ืฉืœ ื–ืžืŸ ืœื“ื•ืจ ืฉืœื”ื ืžืืคืฉืจืช ืœืฉืœื‘ ืฉื™ื˜ื•ืช ืจื‘ื•ืช ื•ื˜ื•ื‘ื•ืช, ืฉื‘ืกืš ื”ื›ืœ ื™ืชื ื• ืชื•ืฆืื•ืช ืžืฆื•ื™ื ื•ืช ืœืขืกืง.

ืืฉืžื— ืœืฉื•ื—ื— ื‘ืชื’ื•ื‘ื•ืช ืขื ื›ืœ ืžื™ ืฉืžื•ืฆื ืืช ื”ื—ื•ืžืจ ืžืขื ื™ื™ืŸ. ืืชื” ื™ื›ื•ืœ ืœืฉืื•ืœ ืื•ืชื™ ืฉืืœื•ืช ื‘ืื•ืคืŸ ืื™ืฉื™ ื‘ ืžื‘ืจืง. ืื ื™ ื’ื ื—ื•ืœืง ืืช ื”ืžื—ืฉื‘ื•ืช ืฉืœื™ ืขืœ ื‘ื™ื ื” ืžืœืื›ื•ืชื™ืช/ืกื˜ืืจื˜-ืืคื™ื ืฉืœื™ ืขืจื•ืฅ ื˜ืœื’ืจื - ื‘ืจื•ืš ื”ื‘ื :)

ืžืงื•ืจ: www.habr.com

ื”ื•ืกืคืช ืชื’ื•ื‘ื”