{"segments": [{"id": 1, "seek": 3836, "start": 20.86, "end": 38.36, "text": "طيب بسم الله الرحمن الرحيم احنا بنات بقى المحاضرة السابقة بدأنا نتحدث اللي هو عن ال auto-regressive كيف نكتبها على moving average infinity فقط بدأنا بأنه الحالة الخاصة auto-regressive order 1 وعطيناها بحلتين عملنا هذه الحالة وشوفناها هي هيك بالنهاية", "tokens": [9566, 1829, 3555, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 1975, 5016, 8315, 4724, 8315, 2655, 4724, 4587, 7578, 9673, 5016, 46958, 25720, 21136, 16758, 28671, 47525, 10721, 8315, 8717, 2655, 24401, 12984, 13672, 1829, 31439, 18871, 2423, 8399, 12, 265, 3091, 488, 9122, 33911, 8717, 4117, 2655, 3555, 11296, 15844, 2684, 4274, 13202, 6156, 47432, 47525, 10721, 8315, 4724, 33456, 3224, 21542, 6027, 3660, 33962, 33546, 3660, 8399, 12, 265, 3091, 488, 1668, 502, 4032, 3615, 9566, 1829, 8315, 11296, 4724, 5016, 1211, 2655, 9957, 6225, 42213, 8315, 29538, 21542, 6027, 3660, 4032, 8592, 38688, 8315, 11296, 39896, 39896, 4117, 20666, 1863, 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80.98, "end": 81.24, "word": " auto", "probability": 0.73291015625}, {"start": 81.24, "end": 81.82, "word": "-regressive", "probability": 0.929931640625}, {"start": 81.82, "end": 82.26, "word": " order", "probability": 0.396728515625}, {"start": 82.26, "end": 82.72, "word": " واحد", "probability": 0.863037109375}, {"start": 82.72, "end": 83.72, "word": " فصعب", "probability": 0.9761962890625}, {"start": 83.72, "end": 83.82, "word": " ان", "probability": 0.759765625}, {"start": 83.82, "end": 84.36, "word": " نتعامل", "probability": 0.97412109375}, {"start": 84.36, "end": 84.66, "word": " معها", "probability": 0.889404296875}, {"start": 84.66, "end": 85.2, "word": " بالصيغة", "probability": 0.96123046875}, {"start": 85.2, "end": 85.56, "word": " هاي", "probability": 0.6092529296875}], "temperature": 1.0}, {"id": 4, "seek": 11164, "start": 85.72, "end": 111.64, "text": "الـ auto correlation و ال auto covariance و لكن لما نحوّلناها نحوّلها إلى بدلالة ال epsilon اللي هي ال innovation هدول 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احنا بنعرف انه ليش مستشيني اللي عفر ال moving average دي انا مستشيني بس في شغل", "tokens": [3555, 2655, 10373, 914, 12771, 3732, 20449, 12771, 3732, 4032, 2423, 14407, 24401, 19446, 4587, 9381, 3215, 13672, 1829, 31439, 9673, 4587, 10943, 20449, 9673, 4587, 10943, 37495, 22653, 4724, 9381, 41185, 13412, 2407, 3660, 1732, 281, 264, 1347, 276, 4032, 13672, 1829, 39896, 1975, 1829, 11242, 995, 3714, 6027, 11296, 5296, 11296, 6055, 34268, 2304, 3215, 15844, 6024, 110, 27842, 6156, 2407, 46958, 5016, 16472, 3224, 1975, 5016, 8315, 39182, 19446, 9122, 2655, 3555, 8315, 2423, 8399, 1121, 22733, 295, 1668, 36764, 24401, 9122, 2655, 3555, 8315, 11296, 382, 2684, 4274, 13202, 23032, 1211, 34268, 30452, 13672, 1829, 1975, 9381, 15040, 1975, 5016, 8315, 44945, 3615, 28480, 16472, 3224, 32239, 8592, 3714, 14851, 8592, 9957, 1829, 13672, 1829, 6225, 5172, 2288, 2423, 2684, 4274, 11778, 1829, 1975, 8315, 3714, 14851, 8592, 9957, 1829, 4724, 3794, 8978, 13412, 17082, 1211], "avg_logprob": 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تحقق أنه ال Phi تبعت اللي هي وينها هاي ال Phi اللي هان تكون مالها ال absolute value إلها أقل من واحد أو ال roots مايفيش إلا root واحد مش roots هنا", "tokens": [15042, 39894, 14851, 9566, 40228, 6055, 4117, 2655, 3555, 2423, 8399, 12, 265, 3091, 488, 15844, 20328, 1829, 17082, 3660, 2684, 4274, 11933, 15040, 11933, 15730, 25961, 2655, 3714, 6027, 11296, 33966, 712, 37893, 33966, 712, 13672, 1829, 39896, 6225, 2304, 20292, 995, 6055, 5016, 4587, 4587, 14739, 3224, 2423, 41435, 6055, 3555, 34268, 13672, 1829, 39896, 4032, 9957, 11296, 8032, 47302, 2423, 41435, 13672, 1829, 8032, 7649, 6055, 30544, 3714, 6027, 11296, 2423, 8236, 2158, 11933, 1211, 11296, 5551, 4587, 1211, 9154, 36764, 24401, 34051, 2423, 10669, 19446, 1829, 41185, 8592, 11933, 15040, 5593, 36764, 24401, 37893, 10669, 34105], "avg_logprob": -0.25015470415058705, "compression_ratio": 1.6666666666666667, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 553.43, "end": 553.77, "word": "ما", "probability": 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بدنا نثبت أنه zero هال gate zero ليش zero؟ طب ليش؟ لأ الاستشانير zero", "tokens": [20292, 8592, 29538, 2423, 14334, 13672, 1829, 39896, 2423, 1783, 51, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 14334, 13672, 1829, 39896, 11778, 3224, 28242, 11296, 39894, 3794, 995, 45865, 8608, 5172, 2288, 21136, 3555, 3555, 22807, 2423, 8399, 12, 265, 3091, 488, 2423, 8399, 12, 4318, 3091, 488, 9673, 9957, 11933, 1211, 11296, 4018, 19446, 5551, 5016, 8315, 5296, 10721, 47525, 8315, 8717, 12984, 3555, 2655, 14739, 3224, 4018, 8032, 6027, 8539, 4018, 32239, 8592, 4018, 22807, 23032, 3555, 32239, 8592, 22807, 5296, 10721, 42963, 14851, 8592, 7649, 13546, 4018], "avg_logprob": -0.3926196897283514, "compression_ratio": 1.7303921568627452, "no_speech_prob": 0.0, "words": [{"start": 1126.49, "end": 1126.97, "word": "ليش", "probability": 0.838134765625}, {"start": 1126.97, "end": 1127.23, "word": " هذه", "probability": 0.4931640625}, {"start": 1127.23, "end": 1127.51, "word": " ال", 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auto-regressive فينا نكتبها على moving average infinity", "tokens": [9566, 1829, 3555, 41850, 5551, 39648, 4117, 32239, 8592, 4724, 9381, 23557, 5016, 3660, 5296, 28814, 1863, 3224, 29538, 6024, 48506, 4724, 9381, 23557, 5016, 3660, 4386, 7251, 43020, 21136, 33604, 6027, 44650, 28543, 2304, 13412, 2407, 10632, 14739, 1829, 5551, 3794, 10721, 43761, 12174, 36150, 9673, 5172, 32887, 11242, 14739, 1829, 5551, 3615, 9566, 1829, 4117, 13412, 17082, 1211, 12174, 36150, 6225, 8592, 7649, 5551, 3794, 10721, 23275, 14407, 35186, 6225, 8592, 7649, 6156, 3615, 15040, 14739, 2655, 14407, 37893, 20449, 8848, 13063, 9957, 45164, 19446, 3615, 28480, 2407, 8592, 11933, 1829, 3224, 10874, 14407, 3555, 3224, 4724, 9381, 23557, 5016, 3660, 29538, 2423, 8399, 12, 265, 3091, 488, 8978, 8315, 8717, 4117, 2655, 3555, 11296, 15844, 2684, 4274, 13202], "avg_logprob": -0.22169569757629615, "compression_ratio": 1.6294820717131475, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1156.66, "end": 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إلى moving average infinity بتصير بدلالة مين؟ ال epsilon خلاص بتصير XT تساوي أشياء مضروبة في ال epsilon مظبوط؟ بس رايح الأشياء دي لل infinity", "tokens": [10721, 1829, 8399, 12, 265, 3091, 488, 8978, 8315, 8717, 4117, 2655, 3555, 11296, 15844, 2684, 4274, 13202, 35525, 8848, 23275, 29538, 2423, 8399, 12, 265, 3091, 488, 44945, 5016, 12610, 11296, 30731, 2684, 4274, 13202, 6156, 995, 16095, 9957, 13412, 2407, 4724, 5016, 4117, 1829, 11296, 22807, 8032, 1211, 10721, 5296, 15042, 6055, 5016, 12610, 1829, 11296, 30731, 2684, 4274, 13202, 39894, 9381, 13546, 4724, 3215, 1211, 6027, 3660, 3714, 9957, 22807, 2423, 17889, 16490, 1211, 33546, 39894, 9381, 13546, 1783, 51, 6055, 3794, 995, 45865, 5551, 8592, 1829, 16606, 3714, 11242, 32887, 49401, 8978, 2423, 17889, 3714, 19913, 3555, 2407, 9566, 22807, 4724, 3794, 12602, 47302, 5016, 16247, 8592, 1829, 16606, 11778, 1829, 24976, 13202], "avg_logprob": -0.23463982760401095, "compression_ratio": 1.778688524590164, "no_speech_prob": 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variance ل XT و اللي أحيانا ان احنا بنرمز له بالرمز VAR ل XT او أحيانا بنرمز له بالرمز اللي هو مين اللي هي إيش اسمها دي gamma gamma sub X أه sub X عارفين يا بناد X هذي ال X لإني أنا بحكي عن مين الآن XT لو رفعت gamma ال zero لحالها ركزوا معايا gamma ال zero أقصد فيها اللي هو ال covariance تبع مين ال epsilon", "tokens": [3224, 15730, 2423, 21977, 6055, 3555, 3615, 2423, 1783, 51, 13672, 1829, 31439, 23032, 3555, 3615, 995, 12602, 2304, 11622, 3224, 39894, 3615, 28480, 14407, 16472, 2655, 14407, 21977, 5296, 1783, 51, 4032, 13672, 1829, 5551, 5016, 1829, 7649, 995, 16472, 1975, 5016, 8315, 44945, 2288, 2304, 11622, 46740, 20666, 2288, 2304, 11622, 691, 1899, 5296, 1783, 51, 1975, 2407, 5551, 5016, 1829, 7649, 995, 44945, 2288, 2304, 11622, 46740, 20666, 2288, 2304, 11622, 13672, 1829, 31439, 3714, 9957, 13672, 1829, 39896, 11933, 1829, 8592, 24525, 2304, 11296, 11778, 1829, 15546, 15546, 1422, 1783, 5551, 3224, 1422, 1783, 6225, 9640, 5172, 9957, 35186, 4724, 8315, 3215, 1783, 8032, 8848, 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كله أسفار XT بدلها فعوضت بدلها بالقيمة هذه كلها اللي هي عمليا ال summation من I تساوي واحد ل P Phi I XT ناقص I زاد epsilon T هذا كله ضربي بالله بepsilon T", "tokens": [5172, 25957, 20292, 995, 4724, 1829, 9566, 1211, 3615, 23032, 3555, 3615, 995, 20666, 2304, 8315, 35457, 3660, 3714, 9957, 6055, 39648, 1829, 32239, 8592, 14334, 295, 1783, 51, 48812, 25513, 2423, 17889, 314, 39894, 3794, 995, 45865, 12771, 8889, 22807, 5296, 33456, 3224, 29538, 13672, 1829, 16472, 2655, 14407, 13412, 995, 33911, 9957, 11296, 28242, 3224, 5551, 3794, 5172, 9640, 1783, 51, 47525, 1211, 11296, 6156, 3615, 2407, 11242, 2655, 47525, 1211, 11296, 20666, 4587, 32640, 3660, 29538, 28242, 11296, 13672, 1829, 39896, 6225, 2304, 20292, 995, 2423, 28811, 9154, 286, 6055, 3794, 995, 45865, 36764, 24401, 5296, 430, 41435, 286, 1783, 51, 8717, 995, 4587, 9381, 286, 30767, 18513, 17889, 314, 23758, 28242, 3224, 48812, 25513, 1829, 20666, 43761, 4724, 10653, 15754, 314], "avg_logprob": -0.34275792893909274, 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