Calculate Running Sum of Each Row From Start, Even When Filtering Records

I have this simplified table entries:

----------------------------
| id | date       | amount |
----------------------------
| 1  | 2017-12-01 | 100    |
----------------------------
| 2  | 2017-12-03 | 100    |
----------------------------
| 3  | 2017-12-05 | 100    |
----------------------------

I need to query the running sum (balance) of the amount column alongside other columns.

I came up with a simple query:

SELECT id, date, amount, SUM(amount) OVER (ORDER BY date) AS balance
FROM entries
GROUP BY id, date, amount
ORDER BY date

and it displays the following:

--------------------------------------
| id | date       | amount | balance |
--------------------------------------
| 1  | 2017-12-01 | 100    | 100     |
-------------------------------------
| 2  | 2017-12-03 | 100    | 200     |
-------------------------------------
| 3  | 2017-12-05 | 100    | 300     |
-------------------------------------

Now, what I need to do is filter the results based on date, but the balance column still needs to be calculated from the start date i.e. 2017-12-01 (or from the first record in the table).

i.e. if I were to add a WHERE date >= '2017-12-03', I'd still want the balance of each row to be same as it was without the date range:

--------------------------------------
| id | date       | amount | balance |
--------------------------------------
| 2  | 2017-12-03 | 100    | 200     |
-------------------------------------
| 3  | 2017-12-05 | 100    | 300     |
-------------------------------------

How can I accomplish this?

Just wrap it in a subselect.

SELECT *
FROM (
  SELECT id, date, amount, SUM(amount) OVER (ORDER BY date, id) AS balance
  FROM entries
  GROUP BY id, date, amount
)
WHERE date >= '2017-12-03'
ORDER BY date, id;

I'm also confused about a few things if you have three rows you don't have to group by it, see if this gives you the same result, it should be a lot faster.

SELECT *
FROM (
  SELECT id, date, amount, SUM(amount) OVER (ORDER BY date, id) AS balance
  FROM entries
)
WHERE date >= '2017-12-03'
ORDER BY date, id;

StackExchange Database Administrators Q#192553, answer score: 4