From 333326223b47dae7d22633dce141efa0a9eb3d84 Mon Sep 17 00:00:00 2001 From: Ignatio Calvin Hidayat Date: Tue, 11 Jun 2024 05:01:21 +0200 Subject: [PATCH] added images and updated readme --- README.md | 76 +++++++++++++++++++++++++----- images/image-1.png | Bin 0 -> 18474 bytes images/image-10.png | Bin 0 -> 33438 bytes images/image-11.png | Bin 0 -> 44336 bytes images/image-12.png | Bin 0 -> 15292 bytes images/image-13.png | Bin 0 -> 32108 bytes images/image-2.png | Bin 0 -> 15211 bytes images/image-3.png | Bin 0 -> 26948 bytes images/image-4.png | Bin 0 -> 14970 bytes images/image-5.png | Bin 0 -> 30641 bytes images/image-6.png | Bin 0 -> 34434 bytes images/image-7.png | Bin 0 -> 33587 bytes images/image-8.png | Bin 0 -> 27920 bytes images/image-9.png | Bin 0 -> 37295 bytes images/image.png | Bin 0 -> 14923 bytes notebooks/lookback_fasttext.ipynb | 16 ++----- 16 files changed, 68 insertions(+), 24 deletions(-) create mode 100644 images/image-1.png create mode 100644 images/image-10.png create mode 100644 images/image-11.png create mode 100644 images/image-12.png create mode 100644 images/image-13.png create mode 100644 images/image-2.png create mode 100644 images/image-3.png create mode 100644 images/image-4.png create mode 100644 images/image-5.png create mode 100644 images/image-6.png create mode 100644 images/image-7.png create mode 100644 images/image-8.png create mode 100644 images/image-9.png create mode 100644 images/image.png diff --git a/README.md b/README.md index e4d1969..03a7c7d 100644 --- a/README.md +++ b/README.md @@ -1,14 +1,39 @@ # LLM_StockPredictor ## Overview +The impact of Natural Language Processing (NLP) algorithms in predicting +stock market prices, especially price shocks. + +Commodity price shocks are times when the prices for commodities have +drastically increased or decreased over a short time. Typically, the stock market +and economic performance are aligned. Thus, when the stock market is performing well, it is usually a function of a growing economy. + +Stock market declines have the potential to diminish wealth across personal +and retirement investment portfolios. Consequently, individuals witnessing a depreciation in their portfolio value are inclined to curtail their expenditures. + +With this project, we aim to develop a model that analyzes news headlines +and predicts stock market crashes based on text data. Having such a model may +help us anticipate the stock market movement to better manage our wealth and +prepare for adverse economic events. We chose to work with NLP algorithms and +fine-tune existing pre-trained LLMs, as classical autoregressive models show +poor predictive capacity during price shocks. Using textual data as input such +as news headlines may help the model adjust its predictions to keep up with +drastically changing trends. Aside from that, we used also analyzed the effects of sentiment analysis and moving averages as features used for prediction. The models are evaluated based on the root mean squared error (RMSE) of the predicted stock prices. + +## Data + +The data is obtained from the Kaggle dataset [Daily News for Stock Market Prediction](https://www.kaggle.com/aaron7sun/stocknews). The dataset contains historical news headlines from Reddit WorldNews Channel and Dow Jones Industrial Average (DJIA) stock prices. The news headlines are from 2008 to 2016, and the stock prices are from 2008 to 2016. Combined_News_DJIA.csv contains the top 25 news headlines and the corresponding stock prices for each day. upload_DJIA_table.csv contains the stock prices for each day. + +The project is divided into the following sections: ## Notebooks -### 1. Univariate Model -Filename: `univariate.ipynb` -Description: This notebook focuses on using a Long Short-Term Memory (LSTM) neural network to predict stock prices based on a univariate time series. -### 2. FinGPT Sentiment Retrieval +### 1. FinGPT Sentiment Retrieval Filename: `retrieve_sentiment.ipynb` -Description: This notebook demonstrates the use of a Large Language Model (LLM), specifically FinGPT, to retrieve and analyze sentiments of financial news articles using the LangChain framework. We asked FinGPT to generate a sentiment score for each news headline in the dataset. The sentiment score ranges from -10 to 10, where -1 indicates a negative sentiment, 0 indicates a neutral sentiment, and 1 indicates a positive sentiment. +Description: This notebook demonstrates the use of a LLM, specifically FinGPT, to retrieve and analyze sentiments of financial news articles using the LangChain framework. We asked FinGPT to generate a sentiment score for each news headline in the dataset. The sentiment score ranges from -10 to 10, where -1 indicates a negative sentiment, 0 indicates a neutral sentiment, and 1 indicates a positive sentiment. + +### 2. Univariate Model +Filename: `univariate.ipynb` +Description: This notebook focuses on using a LSTM neural network to predict stock prices based on a univariate time series. ### 3. Predicting Stock Prices with News Headlines without Looking Back at the Data Filename: `news_rnn.ipynb` @@ -28,24 +53,51 @@ Description: Here, aside from using the look back window of 50 days of news head Filename: `bert_MA.ipynb` Description: In this notebook, we predict stock prices using an LSTM neural network and financial news headlines which uses BERT embeddings. We use a look back window of 50 days of news headlines and stock prices to predict the next day's stock price in the training data and a 30 day window in the testing data. We also include a moving average of the stock prices of 10 days as an additional feature in the model. +### 7. Predicting Stock Prices with FastText Embeddings +Filename: `lookback_fasttext.ipynb` +Description: This notebook predicts stock prices using an LSTM neural network and financial news headlines which uses FastText embeddings. We use a look back window of 50 days of news headlines and stock prices to predict the next day's stock price in the training data and a 30 day window in the testing data. The FastText embeddings are used as an alternative to BERT embeddings. + +### 8. Predicting Stock Prices with XGBoost +Filename: `xgboost.ipynb` +Description: This notebook predicts stock prices using an XGBoost model. The model uses the stock prices and news headlines as features to predict the stock prices. The model is trained on the training data and evaluated on the testing data. + + + + + ## Results -For our models, we used the root mean squared error (RMSE) as the evaluation metric. The RMSE is a measure of the differences between the predicted values and the actual values. It gives us an idea of how well the model is performing in terms of predicting the stock prices. +For our models, we used the RMSE as the evaluation metric. The RMSE is a measure of the differences between the predicted values and the actual values. It gives us an idea of how well the model is performing in terms of predicting the stock prices. The table below shows the RMSE values for the training and testing data for each of the models.
-| Notebooks | train RMSE | test RMSE | +| Notebooks | Train RMSE | Test RMSE | |:---: |:---: |:---: | -| bert_MA | 10.83293233874024 | 816.5899384610334 | -| lookback_news_rnn | 15.457514085649745 | 309.5794180019174 | | univariate | 31.743497936455558 | 164.36006533558697 | +| xgboost | 0.9986960112179987 | 749.0485733114635 | +| lookback_xgboost | 3.5651031645488147 | 200.72583615414294 | +| bert_MA | 10.83293233874024 | 816.5899384610334 | | news_rnn | 622.6200037110209 | 741.4623210266183 | +| lookback_news_rnn | 15.457514085649745 | 309.5794180019174 | +| sentiment_rnn | 27.86876269801595 | 1143.883111213618 | +| lookback_fasttext | 13.962031174946512 | 169.93569939132175 | + +
- +From the table, we can see that the `lookback_xgboost` model has the lowest RMSE value for the testing data, indicating that it is the best performing model among the four. The `bert_MA` model has the lowest RMSE value for the training data, but it has the highest RMSE value for the testing data, indicating that it may be overfitting the training data. -From the table, we can see that the `univariate` model has the lowest RMSE value for the testing data, indicating that it is the best performing model among the four. The `bert_MA` model has the lowest RMSE value for the training data, but it has the highest RMSE value for the testing data, indicating that it may be overfitting the training data. +Having news ruin the data dependency, ultimately they act as noise for the data. The `univariate` model, which only uses the stock prices, performs the best among the models. This suggests that the stock prices themselves contain enough information to predict future stock prices, and the addition of news headlines does not significantly improve the model's performance. -Having news ruin the data dependency, ultimately they act as noise for the data. The `univariate` model, which only uses the stock prices, performs the best among the models. This suggests that the stock prices themselves contain enough information to predict future stock prices, and the addition of news headlines does not significantly improve the model's performance. +| Notebooks | Loss Graph | Test Predictions | +|:---: |:---: |:---: | +| univariate | ![alt text](images/image-2.png) | ![alt text](images/image-6.png) | +| xgboost | 0.9986960112179987 | ![alt text](images/image-11.png) | +| lookback_xgboost | 3.5651031645488147 | ![alt text](images/image-10.png) | +| bert_MA | ![alt text](images/image.png) | ![alt text](images/image-5.png) | +| news_rnn | ![alt text](images/image-3.png) | ![alt text](images/image-8.png) | +| lookback_news_rnn | ![alt text](images/image-1.png) | ![alt text](images/image-7.png) | +| sentiment_rnn | ![alt text](images/image-4.png) | ![alt text](images/image-9.png) | +| lookback_fasttext | ![alt text](images/image-12.png) | ![alt text](images/image-13.png) | diff --git a/images/image-1.png b/images/image-1.png new file mode 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\n", 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", 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" ] @@ -532,7 +532,7 @@ "plt.plot(x,train_hist,scalex=True, label=\"Training loss\")\n", "plt.plot(x, test_hist, label=\"Test loss\")\n", "plt.legend()\n", - "plt.show()\n" + "plt.show()" ] }, { @@ -668,7 +668,7 @@ }, { "data": { - "image/png": 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\n", 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", 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" ] @@ -706,7 +706,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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", 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" ] @@ -722,14 +722,6 @@ "plt.plot(tt[:, -1])\n", "plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "c0f25471-ee05-4065-bebc-f1ed2db27652", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": {