Train an LSTM neural network with time series containing seasonal and trend Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern) 2019 Moderator Election Q&A - Questionnaire 2019 Community Moderator Election ResultsHow to deal with time series which change in seasonality or other patterns?Time series prediction using ARIMA vs LSTMWhat is a better approach for cross-validation with time-related predictorsPrediction interval around LSTM time series forecastLSTM for time series forecasting with H20.aiKeras LSTM with 1D time seriesTime series binary classificaiton with labelling issuesLSTM Model for predicting the minutely seasonal data of the dayMultivariate time series forecasting with LSTMTrain LSTM model with multiple time series

Random body shuffle every night—can we still function?

How do living politicians protect their readily obtainable signatures from misuse?

Understanding p-Values using an example

Does the Mueller report show a conspiracy between Russia and the Trump Campaign?

How could we fake a moon landing now?

Does the Black Tentacles spell do damage twice at the start of turn to an already restrained creature?

Short story about a child who is a miniature, living Earth

Why does electrolysis of aqueous concentrated sodium bromide produce bromine at the anode?

How can I prevent/balance waiting and turtling as a response to cooldown mechanics

How to force a browser when connecting to a specific domain to be https only using only the client machine?

Is there more forest in the Northern Hemisphere now than 100 years ago?

Omitting the following parentheses

Nose gear failure in single prop aircraft: belly landing or nose-gear up landing?

What is the "studentd" process?

As a dual citizen, my US passport will expire one day after traveling to the US. Will this work?

Universal covering space of the real projective line?

Why weren't discrete x86 CPUs ever used in game hardware?

Tips to organize LaTeX presentations for a semester

Select every other edge (they share a common vertex)

I can't produce songs

Why is it faster to reheat something than it is to cook it?

Why is std::move not [[nodiscard]] in C++20?

Can two person see the same photon?

License to disallow distribution in closed source software, but allow exceptions made by owner?



Train an LSTM neural network with time series containing seasonal and trend



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)
2019 Moderator Election Q&A - Questionnaire
2019 Community Moderator Election ResultsHow to deal with time series which change in seasonality or other patterns?Time series prediction using ARIMA vs LSTMWhat is a better approach for cross-validation with time-related predictorsPrediction interval around LSTM time series forecastLSTM for time series forecasting with H20.aiKeras LSTM with 1D time seriesTime series binary classificaiton with labelling issuesLSTM Model for predicting the minutely seasonal data of the dayMultivariate time series forecasting with LSTMTrain LSTM model with multiple time series










1












$begingroup$


I am working on a project for predicting the number of DNS queries from the site:
DNS queries statistics. The data I use is minutely data, which means the number of DNS queries of every minute.



If you look at the number of DNS queries from South Korea or any other countries, it has the seasonality and trend characteristics: increase then decrease day by day.



The requirement for me is: given the number of DNS queries of every minute, then for the given data of 20 previous minutes, predict the number of DNS queries in the next 20 minutes.



My problem is: my trained LSTM could not detect these factors, it always predicts my data to decrease everytime.



I have employed some hand-defined features like the minute of the day, period of the day like morning/afternoon... But it still keeps the same problem.



So I want to ask if there is any possible improvement to make my LSTM to understand when it should decrease and when it should increase with the seasonal data?










share|improve this question









$endgroup$




bumped to the homepage by Community 33 mins ago


This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.














  • $begingroup$
    What about using Prophet?
    $endgroup$
    – Aditya
    Aug 18 '18 at 9:53










  • $begingroup$
    I think you might get more specific suggestions if you described how much data you have (number of days) and what platform you are using (Keras?, other?) I ask about number of days because I noticed that hte linked site that their plots were labeled as smoothed even with durations as short as a week.
    $endgroup$
    – 42-
    Nov 20 '18 at 16:14
















1












$begingroup$


I am working on a project for predicting the number of DNS queries from the site:
DNS queries statistics. The data I use is minutely data, which means the number of DNS queries of every minute.



If you look at the number of DNS queries from South Korea or any other countries, it has the seasonality and trend characteristics: increase then decrease day by day.



The requirement for me is: given the number of DNS queries of every minute, then for the given data of 20 previous minutes, predict the number of DNS queries in the next 20 minutes.



My problem is: my trained LSTM could not detect these factors, it always predicts my data to decrease everytime.



I have employed some hand-defined features like the minute of the day, period of the day like morning/afternoon... But it still keeps the same problem.



So I want to ask if there is any possible improvement to make my LSTM to understand when it should decrease and when it should increase with the seasonal data?










share|improve this question









$endgroup$




bumped to the homepage by Community 33 mins ago


This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.














  • $begingroup$
    What about using Prophet?
    $endgroup$
    – Aditya
    Aug 18 '18 at 9:53










  • $begingroup$
    I think you might get more specific suggestions if you described how much data you have (number of days) and what platform you are using (Keras?, other?) I ask about number of days because I noticed that hte linked site that their plots were labeled as smoothed even with durations as short as a week.
    $endgroup$
    – 42-
    Nov 20 '18 at 16:14














1












1








1





$begingroup$


I am working on a project for predicting the number of DNS queries from the site:
DNS queries statistics. The data I use is minutely data, which means the number of DNS queries of every minute.



If you look at the number of DNS queries from South Korea or any other countries, it has the seasonality and trend characteristics: increase then decrease day by day.



The requirement for me is: given the number of DNS queries of every minute, then for the given data of 20 previous minutes, predict the number of DNS queries in the next 20 minutes.



My problem is: my trained LSTM could not detect these factors, it always predicts my data to decrease everytime.



I have employed some hand-defined features like the minute of the day, period of the day like morning/afternoon... But it still keeps the same problem.



So I want to ask if there is any possible improvement to make my LSTM to understand when it should decrease and when it should increase with the seasonal data?










share|improve this question









$endgroup$




I am working on a project for predicting the number of DNS queries from the site:
DNS queries statistics. The data I use is minutely data, which means the number of DNS queries of every minute.



If you look at the number of DNS queries from South Korea or any other countries, it has the seasonality and trend characteristics: increase then decrease day by day.



The requirement for me is: given the number of DNS queries of every minute, then for the given data of 20 previous minutes, predict the number of DNS queries in the next 20 minutes.



My problem is: my trained LSTM could not detect these factors, it always predicts my data to decrease everytime.



I have employed some hand-defined features like the minute of the day, period of the day like morning/afternoon... But it still keeps the same problem.



So I want to ask if there is any possible improvement to make my LSTM to understand when it should decrease and when it should increase with the seasonal data?







predictive-modeling time-series rnn lstm prediction






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Aug 18 '18 at 7:23









Truong NguyenTruong Nguyen

152




152





bumped to the homepage by Community 33 mins ago


This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.







bumped to the homepage by Community 33 mins ago


This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.













  • $begingroup$
    What about using Prophet?
    $endgroup$
    – Aditya
    Aug 18 '18 at 9:53










  • $begingroup$
    I think you might get more specific suggestions if you described how much data you have (number of days) and what platform you are using (Keras?, other?) I ask about number of days because I noticed that hte linked site that their plots were labeled as smoothed even with durations as short as a week.
    $endgroup$
    – 42-
    Nov 20 '18 at 16:14

















  • $begingroup$
    What about using Prophet?
    $endgroup$
    – Aditya
    Aug 18 '18 at 9:53










  • $begingroup$
    I think you might get more specific suggestions if you described how much data you have (number of days) and what platform you are using (Keras?, other?) I ask about number of days because I noticed that hte linked site that their plots were labeled as smoothed even with durations as short as a week.
    $endgroup$
    – 42-
    Nov 20 '18 at 16:14
















$begingroup$
What about using Prophet?
$endgroup$
– Aditya
Aug 18 '18 at 9:53




$begingroup$
What about using Prophet?
$endgroup$
– Aditya
Aug 18 '18 at 9:53












$begingroup$
I think you might get more specific suggestions if you described how much data you have (number of days) and what platform you are using (Keras?, other?) I ask about number of days because I noticed that hte linked site that their plots were labeled as smoothed even with durations as short as a week.
$endgroup$
– 42-
Nov 20 '18 at 16:14





$begingroup$
I think you might get more specific suggestions if you described how much data you have (number of days) and what platform you are using (Keras?, other?) I ask about number of days because I noticed that hte linked site that their plots were labeled as smoothed even with durations as short as a week.
$endgroup$
– 42-
Nov 20 '18 at 16:14











2 Answers
2






active

oldest

votes


















0












$begingroup$

I don’t know if the seasonality will be achievable in your predictions, due simply to the timeframes you we using. If you see a daily up—down movement, but only provide 20 minutes for a prediction, how will the Model know whether or not it is at a turning point? You would perhaps need to include other features that contain that information - perhaps even the time stamp would suffice.



It is odd, that the model always predicts a downward movement — I would have expected it to simply continue on the current path (up or down), assuming you have both directoins in your training data...?




Perhaps you could look into some ideas used in common timeseries analysis methods, like separating the seasonality, trend and noise and feeding them separately to the model. Search for terms SARIMA, ARIMA, seasonality and cycles. (S)ARIMA stands for “seasonal autoregressive integrated moving average”, and represents a common way to look at data over time using previous values (autoregressivej, the differences of current value to previous values (integrated) and a moving average of past time steps (moving average).



The terms generated would of course catch the phases where the value changes direction and so be able to model seasonality fairly well.






share|improve this answer









$endgroup$












  • $begingroup$
    Thank you for your reply, I have tried to define the turning point by my hand for training and testing the data, which i define the increasing period and decreasing period based on my observation. But the result seems to be still like before :( Our aim at this time is trying if LSTM is suitable for our job or not. Maybe I shouldtry other model as well :)
    $endgroup$
    – Truong Nguyen
    Aug 20 '18 at 19:19



















0












$begingroup$

Sound to me as a perfect candidate for a Holt-Winters model with a 24 hours seasonality. The trend should not be really sensitive on the time scale you use.



An other way to go would be to compute the seasonality by averaging a great number of 24-hours cycle. Then study the de-seasonlized data.



Once you understand what is happening, you have a chance to teach it to your LSTM.






share|improve this answer









$endgroup$













    Your Answer








    StackExchange.ready(function()
    var channelOptions =
    tags: "".split(" "),
    id: "557"
    ;
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function()
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled)
    StackExchange.using("snippets", function()
    createEditor();
    );

    else
    createEditor();

    );

    function createEditor()
    StackExchange.prepareEditor(
    heartbeatType: 'answer',
    autoActivateHeartbeat: false,
    convertImagesToLinks: false,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: null,
    bindNavPrevention: true,
    postfix: "",
    imageUploader:
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    ,
    onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    );



    );













    draft saved

    draft discarded


















    StackExchange.ready(
    function ()
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f37113%2ftrain-an-lstm-neural-network-with-time-series-containing-seasonal-and-trend%23new-answer', 'question_page');

    );

    Post as a guest















    Required, but never shown

























    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0












    $begingroup$

    I don’t know if the seasonality will be achievable in your predictions, due simply to the timeframes you we using. If you see a daily up—down movement, but only provide 20 minutes for a prediction, how will the Model know whether or not it is at a turning point? You would perhaps need to include other features that contain that information - perhaps even the time stamp would suffice.



    It is odd, that the model always predicts a downward movement — I would have expected it to simply continue on the current path (up or down), assuming you have both directoins in your training data...?




    Perhaps you could look into some ideas used in common timeseries analysis methods, like separating the seasonality, trend and noise and feeding them separately to the model. Search for terms SARIMA, ARIMA, seasonality and cycles. (S)ARIMA stands for “seasonal autoregressive integrated moving average”, and represents a common way to look at data over time using previous values (autoregressivej, the differences of current value to previous values (integrated) and a moving average of past time steps (moving average).



    The terms generated would of course catch the phases where the value changes direction and so be able to model seasonality fairly well.






    share|improve this answer









    $endgroup$












    • $begingroup$
      Thank you for your reply, I have tried to define the turning point by my hand for training and testing the data, which i define the increasing period and decreasing period based on my observation. But the result seems to be still like before :( Our aim at this time is trying if LSTM is suitable for our job or not. Maybe I shouldtry other model as well :)
      $endgroup$
      – Truong Nguyen
      Aug 20 '18 at 19:19
















    0












    $begingroup$

    I don’t know if the seasonality will be achievable in your predictions, due simply to the timeframes you we using. If you see a daily up—down movement, but only provide 20 minutes for a prediction, how will the Model know whether or not it is at a turning point? You would perhaps need to include other features that contain that information - perhaps even the time stamp would suffice.



    It is odd, that the model always predicts a downward movement — I would have expected it to simply continue on the current path (up or down), assuming you have both directoins in your training data...?




    Perhaps you could look into some ideas used in common timeseries analysis methods, like separating the seasonality, trend and noise and feeding them separately to the model. Search for terms SARIMA, ARIMA, seasonality and cycles. (S)ARIMA stands for “seasonal autoregressive integrated moving average”, and represents a common way to look at data over time using previous values (autoregressivej, the differences of current value to previous values (integrated) and a moving average of past time steps (moving average).



    The terms generated would of course catch the phases where the value changes direction and so be able to model seasonality fairly well.






    share|improve this answer









    $endgroup$












    • $begingroup$
      Thank you for your reply, I have tried to define the turning point by my hand for training and testing the data, which i define the increasing period and decreasing period based on my observation. But the result seems to be still like before :( Our aim at this time is trying if LSTM is suitable for our job or not. Maybe I shouldtry other model as well :)
      $endgroup$
      – Truong Nguyen
      Aug 20 '18 at 19:19














    0












    0








    0





    $begingroup$

    I don’t know if the seasonality will be achievable in your predictions, due simply to the timeframes you we using. If you see a daily up—down movement, but only provide 20 minutes for a prediction, how will the Model know whether or not it is at a turning point? You would perhaps need to include other features that contain that information - perhaps even the time stamp would suffice.



    It is odd, that the model always predicts a downward movement — I would have expected it to simply continue on the current path (up or down), assuming you have both directoins in your training data...?




    Perhaps you could look into some ideas used in common timeseries analysis methods, like separating the seasonality, trend and noise and feeding them separately to the model. Search for terms SARIMA, ARIMA, seasonality and cycles. (S)ARIMA stands for “seasonal autoregressive integrated moving average”, and represents a common way to look at data over time using previous values (autoregressivej, the differences of current value to previous values (integrated) and a moving average of past time steps (moving average).



    The terms generated would of course catch the phases where the value changes direction and so be able to model seasonality fairly well.






    share|improve this answer









    $endgroup$



    I don’t know if the seasonality will be achievable in your predictions, due simply to the timeframes you we using. If you see a daily up—down movement, but only provide 20 minutes for a prediction, how will the Model know whether or not it is at a turning point? You would perhaps need to include other features that contain that information - perhaps even the time stamp would suffice.



    It is odd, that the model always predicts a downward movement — I would have expected it to simply continue on the current path (up or down), assuming you have both directoins in your training data...?




    Perhaps you could look into some ideas used in common timeseries analysis methods, like separating the seasonality, trend and noise and feeding them separately to the model. Search for terms SARIMA, ARIMA, seasonality and cycles. (S)ARIMA stands for “seasonal autoregressive integrated moving average”, and represents a common way to look at data over time using previous values (autoregressivej, the differences of current value to previous values (integrated) and a moving average of past time steps (moving average).



    The terms generated would of course catch the phases where the value changes direction and so be able to model seasonality fairly well.







    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered Aug 18 '18 at 10:17









    n1k31t4n1k31t4

    6,6212421




    6,6212421











    • $begingroup$
      Thank you for your reply, I have tried to define the turning point by my hand for training and testing the data, which i define the increasing period and decreasing period based on my observation. But the result seems to be still like before :( Our aim at this time is trying if LSTM is suitable for our job or not. Maybe I shouldtry other model as well :)
      $endgroup$
      – Truong Nguyen
      Aug 20 '18 at 19:19

















    • $begingroup$
      Thank you for your reply, I have tried to define the turning point by my hand for training and testing the data, which i define the increasing period and decreasing period based on my observation. But the result seems to be still like before :( Our aim at this time is trying if LSTM is suitable for our job or not. Maybe I shouldtry other model as well :)
      $endgroup$
      – Truong Nguyen
      Aug 20 '18 at 19:19
















    $begingroup$
    Thank you for your reply, I have tried to define the turning point by my hand for training and testing the data, which i define the increasing period and decreasing period based on my observation. But the result seems to be still like before :( Our aim at this time is trying if LSTM is suitable for our job or not. Maybe I shouldtry other model as well :)
    $endgroup$
    – Truong Nguyen
    Aug 20 '18 at 19:19





    $begingroup$
    Thank you for your reply, I have tried to define the turning point by my hand for training and testing the data, which i define the increasing period and decreasing period based on my observation. But the result seems to be still like before :( Our aim at this time is trying if LSTM is suitable for our job or not. Maybe I shouldtry other model as well :)
    $endgroup$
    – Truong Nguyen
    Aug 20 '18 at 19:19












    0












    $begingroup$

    Sound to me as a perfect candidate for a Holt-Winters model with a 24 hours seasonality. The trend should not be really sensitive on the time scale you use.



    An other way to go would be to compute the seasonality by averaging a great number of 24-hours cycle. Then study the de-seasonlized data.



    Once you understand what is happening, you have a chance to teach it to your LSTM.






    share|improve this answer









    $endgroup$

















      0












      $begingroup$

      Sound to me as a perfect candidate for a Holt-Winters model with a 24 hours seasonality. The trend should not be really sensitive on the time scale you use.



      An other way to go would be to compute the seasonality by averaging a great number of 24-hours cycle. Then study the de-seasonlized data.



      Once you understand what is happening, you have a chance to teach it to your LSTM.






      share|improve this answer









      $endgroup$















        0












        0








        0





        $begingroup$

        Sound to me as a perfect candidate for a Holt-Winters model with a 24 hours seasonality. The trend should not be really sensitive on the time scale you use.



        An other way to go would be to compute the seasonality by averaging a great number of 24-hours cycle. Then study the de-seasonlized data.



        Once you understand what is happening, you have a chance to teach it to your LSTM.






        share|improve this answer









        $endgroup$



        Sound to me as a perfect candidate for a Holt-Winters model with a 24 hours seasonality. The trend should not be really sensitive on the time scale you use.



        An other way to go would be to compute the seasonality by averaging a great number of 24-hours cycle. Then study the de-seasonlized data.



        Once you understand what is happening, you have a chance to teach it to your LSTM.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Aug 21 '18 at 8:12









        AlainDAlainD

        2366




        2366



























            draft saved

            draft discarded
















































            Thanks for contributing an answer to Data Science Stack Exchange!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid


            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.

            Use MathJax to format equations. MathJax reference.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fdatascience.stackexchange.com%2fquestions%2f37113%2ftrain-an-lstm-neural-network-with-time-series-containing-seasonal-and-trend%23new-answer', 'question_page');

            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            На ростанях Змест Гісторыя напісання | Месца дзеяння | Час дзеяння | Назва | Праблематыка трылогіі | Аўтабіяграфічнасць | Трылогія ў тэатры і кіно | Пераклады | У культуры | Зноскі Літаратура | Спасылкі | НавігацыяДагледжаная версіяправерана1 зменаДагледжаная версіяправерана1 зменаАкадэмік МІЦКЕВІЧ Канстанцін Міхайлавіч (Якуб Колас) Прадмова М. І. Мушынскага, доктара філалагічных навук, члена-карэспандэнта Нацыянальнай акадэміі навук Рэспублікі Беларусь, прафесараНашаніўцы ў трылогіі Якуба Коласа «На ростанях»: вобразы і прататыпы125 лет Янке МавруКнижно-документальная выставка к 125-летию со дня рождения Якуба Коласа (1882—1956)Колас Якуб. Новая зямля (паэма), На ростанях (трылогія). Сулкоўскі Уладзімір. Радзіма Якуба Коласа (серыял жывапісных палотнаў)Вокладка кнігіІлюстрацыя М. С. БасалыгіНа ростаняхАўдыёверсія трылогііВ. Жолтак У Люсiнскай школе 1959

            Францішак Багушэвіч Змест Сям'я | Біяграфія | Творчасць | Мова Багушэвіча | Ацэнкі дзейнасці | Цікавыя факты | Спадчына | Выбраная бібліяграфія | Ушанаванне памяці | У філатэліі | Зноскі | Літаратура | Спасылкі | НавігацыяЛяхоўскі У. Рупіўся дзеля Бога і людзей: Жыццёвы шлях Лявона Вітан-Дубейкаўскага // Вольскі і Памідораў з песняй пра немца Адвакат, паэт, народны заступнік Ашмянскі веснікВ Минске появится площадь Богушевича и улица Сырокомли, Белорусская деловая газета, 19 июля 2001 г.Айцец беларускай нацыянальнай ідэі паўстаў у бронзе Сяргей Аляксандравіч Адашкевіч (1918, Мінск). 80-я гады. Бюст «Францішак Багушэвіч».Яўген Мікалаевіч Ціхановіч. «Партрэт Францішка Багушэвіча»Мікола Мікалаевіч Купава. «Партрэт зачынальніка новай беларускай літаратуры Францішка Багушэвіча»Уладзімір Іванавіч Мелехаў. На помніку «Змагарам за родную мову» Барэльеф «Францішак Багушэвіч»Памяць пра Багушэвіча на Віленшчыне Страчаная сталіца. Беларускія шыльды на вуліцах Вільні«Krynica». Ideologia i przywódcy białoruskiego katolicyzmuФранцішак БагушэвічТворы на knihi.comТворы Францішка Багушэвіча на bellib.byСодаль Уладзімір. Францішак Багушэвіч на Лідчыне;Луцкевіч Антон. Жыцьцё і творчасьць Фр. Багушэвіча ў успамінах ягоных сучасьнікаў // Запісы Беларускага Навуковага таварыства. Вільня, 1938. Сшытак 1. С. 16-34.Большая российская1188761710000 0000 5537 633Xn9209310021619551927869394п

            Беларусь Змест Назва Гісторыя Геаграфія Сімволіка Дзяржаўны лад Палітычныя партыі Міжнароднае становішча і знешняя палітыка Адміністрацыйны падзел Насельніцтва Эканоміка Культура і грамадства Сацыяльная сфера Узброеныя сілы Заўвагі Літаратура Спасылкі НавігацыяHGЯOiТоп-2011 г. (па версіі ej.by)Топ-2013 г. (па версіі ej.by)Топ-2016 г. (па версіі ej.by)Топ-2017 г. (па версіі ej.by)Нацыянальны статыстычны камітэт Рэспублікі БеларусьШчыльнасць насельніцтва па краінахhttp://naviny.by/rubrics/society/2011/09/16/ic_articles_116_175144/А. Калечыц, У. Ксяндзоў. Спробы засялення краю неандэртальскім чалавекам.І ў Менску былі мамантыА. Калечыц, У. Ксяндзоў. Старажытны каменны век (палеаліт). Першапачатковае засяленне тэрыторыіГ. Штыхаў. Балты і славяне ў VI—VIII стст.М. Клімаў. Полацкае княства ў IX—XI стст.Г. Штыхаў, В. Ляўко. Палітычная гісторыя Полацкай зямліГ. Штыхаў. Дзяржаўны лад у землях-княствахГ. Штыхаў. Дзяржаўны лад у землях-княствахБеларускія землі ў складзе Вялікага Княства ЛітоўскагаЛюблінская унія 1569 г."The Early Stages of Independence"Zapomniane prawdy25 гадоў таму было аб'яўлена, што Язэп Пілсудскі — беларус (фота)Наша вадаДакументы ЧАЭС: Забруджванне тэрыторыі Беларусі « ЧАЭС Зона адчужэнняСведения о политических партиях, зарегистрированных в Республике Беларусь // Министерство юстиции Республики БеларусьСтатыстычны бюлетэнь „Полаўзроставая структура насельніцтва Рэспублікі Беларусь на 1 студзеня 2012 года і сярэднегадовая колькасць насельніцтва за 2011 год“Индекс человеческого развития Беларуси — не было бы нижеБеларусь занимает первое место в СНГ по индексу развития с учетом гендерного факцёраНацыянальны статыстычны камітэт Рэспублікі БеларусьКанстытуцыя РБ. Артыкул 17Трансфармацыйныя задачы БеларусіВыйсце з крызісу — далейшае рэфармаванне Беларускі рубель — сусветны лідар па дэвальвацыяхПра змену коштаў у кастрычніку 2011 г.Бядней за беларусаў у СНД толькі таджыкіСярэдні заробак у верасні дасягнуў 2,26 мільёна рублёўЭканомікаГаласуем за ТОП-100 беларускай прозыСучасныя беларускія мастакіАрхитектура Беларуси BELARUS.BYА. Каханоўскі. Культура Беларусі ўсярэдзіне XVII—XVIII ст.Анталогія беларускай народнай песні, гуказапісы спеваўБеларускія Музычныя IнструментыБеларускі рок, які мы страцілі. Топ-10 гуртоў«Мясцовы час» — нязгаслая легенда беларускай рок-музыкіСЯРГЕЙ БУДКІН. МЫ НЯ ЗНАЕМ СВАЁЙ МУЗЫКІМ. А. Каладзінскі. НАРОДНЫ ТЭАТРМагнацкія культурныя цэнтрыПублічная дыскусія «Беларуская новая пьеса: без беларускай мовы ці беларуская?»Беларускія драматургі па-ранейшаму лепш ставяцца за мяжой, чым на радзіме«Працэс незалежнага кіно пайшоў, і дзяржаву турбуе яго непадкантрольнасць»Беларускія філосафы ў пошуках прасторыВсе идём в библиотекуАрхіваванаАб Нацыянальнай праграме даследавання і выкарыстання касмічнай прасторы ў мірных мэтах на 2008—2012 гадыУ космас — разам.У суседнім з Барысаўскім раёне пабудуюць Камандна-вымяральны пунктСвяты і абрады беларусаў«Мірныя бульбашы з малой краіны» — 5 непраўдзівых стэрэатыпаў пра БеларусьМ. Раманюк. Беларускае народнае адзеннеУ Беларусі скарачаецца колькасць злачынстваўЛукашэнка незадаволены мінскімі ўладамі Крадзяжы складаюць у Мінску каля 70% злачынстваў Узровень злачыннасці ў Мінскай вобласці — адзін з самых высокіх у краіне Генпракуратура аналізуе стан са злачыннасцю ў Беларусі па каэфіцыенце злачыннасці У Беларусі стабілізавалася крымінагеннае становішча, лічыць генпракурорЗамежнікі сталі здзяйсняць у Беларусі больш злачынстваўМУС Беларусі турбуе рост рэцыдыўнай злачыннасціЯ з ЖЭСа. Дазволіце вас абкрасці! Рэйтынг усіх службаў і падраздзяленняў ГУУС Мінгарвыканкама вырасАб КДБ РБГісторыя Аператыўна-аналітычнага цэнтра РБГісторыя ДКФРТаможняagentura.ruБеларусьBelarus.by — Афіцыйны сайт Рэспублікі БеларусьСайт урада БеларусіRadzima.org — Збор архітэктурных помнікаў, гісторыя Беларусі«Глобус Беларуси»Гербы и флаги БеларусиАсаблівасці каменнага веку на БеларусіА. Калечыц, У. Ксяндзоў. Старажытны каменны век (палеаліт). Першапачатковае засяленне тэрыторыіУ. Ксяндзоў. Сярэдні каменны век (мезаліт). Засяленне краю плямёнамі паляўнічых, рыбакоў і збіральнікаўА. Калечыц, М. Чарняўскі. Плямёны на тэрыторыі Беларусі ў новым каменным веку (неаліце)А. Калечыц, У. Ксяндзоў, М. Чарняўскі. Гаспадарчыя заняткі ў каменным векуЭ. Зайкоўскі. Духоўная культура ў каменным векуАсаблівасці бронзавага веку на БеларусіФарміраванне супольнасцей ранняга перыяду бронзавага векуФотографии БеларусиРоля беларускіх зямель ва ўтварэнні і ўмацаванні ВКЛВ. Фадзеева. З гісторыі развіцця беларускай народнай вышыўкіDMOZGran catalanaБольшая российскаяBritannica (анлайн)Швейцарскі гістарычны15325917611952699xDA123282154079143-90000 0001 2171 2080n9112870100577502ge128882171858027501086026362074122714179пппппп