I want to try CNN in the task of stock chart pattern recognition. I suspect that feeding a line chart won't work because the image will have a lot of empty pixels.
What time series encoding options are available to get a lossless, dense image?
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You do not have to convert it into an image for CNN. CNN can work directly on time-series (1D Convolution Network).
More Details :
What is a 1D Convolutional Layer in Deep Learning?
Examples for time-series :
https://jeddy92.github.io/JEddy92.github.io/ts_seq2seq_conv/
Image as input to CNN
Image can be fed into CNN like any other image. CNN will learn to ignore all whitespace and tune first few filters as edge-detection filters.
In such models, output variable will be the direction or a band of percentages (say next stock tick will be in a band of 0 - 1% or 0 -1%).
You can encode time series to images using image encoding methods like Recurrence Plots (RP), Gramian Angular Field (GAF), Markov Transition Field (MTF).
See the following article:
Estebsari, A.; Rajabi, R. Single Residential Load Forecasting Using Deep Learning and Image Encoding Techniques. Electronics 2020, 9, 68. https://doi.org/10.3390/electronics9010068