I got the same issue for a scientific paper where figs should be submitted in eps and I had transparency.
Transparency is not supported by eps or pdf in a vector format. You have to remove the transparency from your plots or find a way to mimic it without using it.
SVG saved look good when open in inkscape but again when saved from inkscape as eps it looks ugly or it's super huge. Same for conversion from pdf. The problem is that if there is transparency, the image will be converted to a bitmap. Then you loose the nice looking vector format. And because in eps bitmap are in raw (tiff) format, if you want something that looks good, with a dpi of at least 300, then the file will be much much bigger than the exact same in png.
For me I plotted the graphs slightly differently to avoid using transparency.
Transparency is not supported by eps or pdf in a vector format. You have to remove the transparency from your plots or find a way to mimic it without using it.
SVG saved look good when open in inkscape but again when saved from inkscape as eps it looks ugly or it's super huge. Same for conversion from pdf. The problem is that if there is transparency, the image will be converted to a bitmap. Then you loose the nice looking vector format. And because in eps bitmap are in raw (tiff) format, if you want something that looks good, with a dpi of at least 300, then the file will be much much bigger than the exact same in png.
For me I plotted the graphs slightly differently to avoid using transparency.