I have an image collection of Sentinel-1 data over 3 years filtered by a region of interest that spans 3-4 tiles, and want to know the best way to mosaic all the images (tiles) that were taken on the same day into one image. Currently filtering by date yields separate images for each separate tile, and I would like to merge all images (tiles) from the same day into one image.

I know how to do this for one specified date with a command like this: 

```js
ee.Image(collection.filterDate('2014-10-01','2014-10-02').mosaic())

```

But I would like to do this iteratively for the whole collection in my ROI over a broad date range and obtain a new image collection of mosaicked images by days in which there is some data. 

The collection is created by the following code: 

```js
var poly = /* color: #d63000 */ee.Geometry.Polygon(
    [[[-76.0803, 10.8656],
      [-76.0913, 7.7436],
      [-73.1909, 7.7545],
      [-73.3776, 9.4273],
      [-75.2124, 10.9304]]])

var start = ee.Date('2014-10-01');
var finish = ee.Date('2018-03-31');

var collection = ee.ImageCollection('COPERNICUS/S1_GRD')
.filterDate(start, finish)
.filter(ee.Filter.listContains('transmitterReceiverPolarisation', 'VV'))
.filter(ee.Filter.listContains('transmitterReceiverPolarisation', 'VH'))
.filter(ee.Filter.eq('instrumentMode', 'IW'))
.filterMetadata('resolution_meters', 'equals', 10)
.filterBounds(poly);

```

For example, the first three images in this collection are all tiles from the same day (2014-12-02), and I would like to mosaic them together into one 3-tile image for day 2014-12-02, and then do this for the entire collection of over 500 tiles/images to get a collection of day-unique tile mosaics.