Orthogonal transformations and moments in digital information processing
Bibliographic record
Abstract
The method of application of the theory of spectral schedules, theory of moments and statistical-probabilistic methods of processing of the digital information received at preparation of sportsmen for competitive activity, in particular at data processing of heart rate (heart rate) is offered in the work. The paper shows the relationship of the moments of the distribution function with the generalized spectra of orthogonal decompositions, considers the question of determining the sample size to obtain research results. References Pianylo, Ya. D. (2011). Proektsiino-iteratsiini metody rozviazuvannia priamykh ta obernenykh zadach perenosu. Lviv: Splain. Bat, M. (1980). Spektralnyi analiz v geofizike. Moskva. Nedra. Gold, B., Reider, CH. (1973). TSifrovaia obrabotka signalov. Moskva. Sov. radio. Suetin, P. K. (2005). Klassicheskie ortogonalnye mnogochleny 3-e izd. pererab. i dop. M. FIZMATLIT. Dzhekson, D. (1948). Riady fure i ortogonalnye polinomy. Perevod s angliiskogo. Gosudarstvennoe izdatelstvo inostrannoi literatury. Matsko, I. Y., Yavorskyi, I. M., Yuzefovych, R. M., Semenov, P. O. (2018). Statystychnyi vektorno-tenzornyi analiz vibratsii tsentryfuhy z rozvynutym defektom obertovoho vuzla. Fizyko-khimichna mekhanika materialiv, 2, 140-147. Morozova, H. V., Sukharkova, O. I. (2012). Identyfikatsiia fihur na ploshchyni za dopomohoiu tsentralnykh momentiv yikh zobrazhen. Prykladna heometriia ta inzhenerna hrafika, 90, 200-205. Avramenko, V. I., Karimov, I. K. (2013). Teoriia ymovirnostei i matematychna statystyka : navch. posibnyk 2-he vyd., pererob. i dop.Dniprodzerzhynsk : DDTU. Gilmore, J. F., Pemberton, W. B. (1984). A suivery of aircraft classification algorithms. 7th Int. Conf. On PR., Montreal, 559-562. Wolf, S., Louvion, J. R. (1979). Considerations sur les formes: pseudo symetrie representation. 2e congres AFCET-IRIA/ Reconnassance des Formes et Intelligence Artificielle, Toulouse. 381-387. Dudani, J. A., Breeding, K. J. (1997). Aircraft identification by moments invariants. IEEE Trans. On Computers. Hilmor, Dzh. F., Pemberton, W. B. Nabir alhorytmiv klasyfikatsii litakiv. 7th Int. Konf. Pro PR., Monreal, 559-562. Volf, S., Luvion, Dzh. R. (1979). Rozghliad sur les formes: psevdosymetrychne predstavlennia. 2e konhresy AFCET-IRIA / Reconnassance des Formes et Intelligence Artificielle, Tuluza. 381-387. Dudani, Zh. A. (1997). Identyfikatsiia litaka za momentamy invariantiv. IEEE Trans. Pro kompiutery.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.003 | 0.003 |
| Science and technology studies | 0.001 | 0.004 |
| Scholarly communication | 0.003 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".