Re: sparse bitset compression

Richard Fabian <[email protected]> Fri, 31 Jan 2014 23:27:26 +0000
Newsgroups gmane.games.devel.algorithms
Message-ID <CACot5u2J97QKE8Va6E-tH6TMwX7Gok_MJ-sba78ZW-1gg29JxA@mail.gmail.com>
--===============8197179470284728272==
Content-Type: multipart/alternative; boundary=001a11c0dd9614cb7104f14c8691

--001a11c0dd9614cb7104f14c8691
Content-Type: text/plain; charset=ISO-8859-1

there was a lot of similarity, but with no processng at the destination, we
decided that the Golomb-rice algorithm was good enough. Dropped our data by
70%. That was enough of a saving for this one area.


On 31 January 2014 21:32, Jon Watte <[email protected]> wrote:

> Encode a single starting value at full bandwidth then send a stream of
>> differences:
>
>
> Which is equivalent to a wavelet "lift" transform :-)
>
> Back to the original question: If you have a previous save game, is there
> lots of similarity in the next save? If so, can you save a delta instead?
> If not, what solution did you end up choosing?
>
> Sincerely,
>
> jw
>
>
>
>
>
>
> Sincerely,
>
> Jon Watte
>
>
> --
> "I find that the harder I work, the more luck I seem to have." -- Thomas
> Jefferson
>
>
> On Tue, Jan 21, 2014 at 12:08 AM, Robin Green <[email protected]>wrote:
>
>>
>> Here's a modern Run Length version of Golomb-Rice encoding designed for
>> compressing general data with a Generalized Gaussian distribution. Works
>> best if you can prove there are, in most cases, small differences between
>> adjacent data (but handily you get to define what "adjacent" means to your
>> stream). Encode a single starting value at full bandwidth then send a
>> stream of differences:
>>
>>     https://research.microsoft.com/pubs/102069/malvar_dcc06.pdf
>>
>> As a bonus, if you're encoding depth images, you can remap the values to
>> leave zero as an out-of-band value:
>>
>>     http://www.charlesneedham.com/pubs/153971/depthcode-final.pdf
>>
>> Yes, I know that wasn't the question you asked but at least it's an
>> algorithm. :-)
>>
>> - Robin Green
>>
>>
>>
>> On Fri, Jan 17, 2014 at 10:04 AM, Alex Walters <[email protected]>wrote:
>>
>>> Its on the fringe of being useful, but one thing you could look at to
>>> reduce your data size is Exponential Golomb coding (
>>> http://en.wikipedia.org/wiki/Exponential-Golomb_coding), its used in
>>> H.264 entropy encoding among other things.
>>>
>>> Instead of writing a full n-bit values for every number you store, it
>>> produces a bit stream of codes, using far less bits for small numbers -
>>> take a look at the wiki page, its pretty simple to see whats going on when
>>> you look at the example. It can reduce the amount of data you have to move,
>>> and from what I remember from when I worked with video, it produces much
>>> more predictable (and compressible) stream of bits for the next compression
>>> scheme along (variable length encoding, or arithmetic encoding in the case
>>> of H.264) - I've not looked into the details but could probably improve the
>>> compression of the stream you get through gzip.
>>>
>>> Regards,
>>>
>>> Alex
>>>
>>>
>>>
>>
>> ------------------------------------------------------------------------------
>> CenturyLink Cloud: The Leader in Enterprise Cloud Services.
>> Learn Why More Businesses Are Choosing CenturyLink Cloud For
>> Critical Workloads, Development Environments & Everything In Between.
>> Get a Quote or Start a Free Trial Today.
>>
>> http://pubads.g.doubleclick.net/gampad/clk?id=119420431&iu=/4140/ostg.clktrk
>> _______________________________________________
>> GDAlgorithms-list mailing list
>> [email protected]
>> https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list
>> Archives:
>> http://sourceforge.net/mailarchive/forum.php?forum_name=gdalgorithms-list
>>
>
>
>
> ------------------------------------------------------------------------------
> WatchGuard Dimension instantly turns raw network data into actionable
> security intelligence. It gives you real-time visual feedback on key
> security issues and trends.  Skip the complicated setup - simply import
> a virtual appliance and go from zero to informed in seconds.
>
> http://pubads.g.doubleclick.net/gampad/clk?id=123612991&iu=/4140/ostg.clktrk
> _______________________________________________
> GDAlgorithms-list mailing list
> [email protected]
> https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list
> Archives:
> http://sourceforge.net/mailarchive/forum.php?forum_name=gdalgorithms-list
>



-- 
fabs();
"The fact that an opinion has been widely held is no evidence whatever that
it is not utterly absurd." - Bertrand Russell

--001a11c0dd9614cb7104f14c8691
Content-Type: text/html; charset=ISO-8859-1
Content-Transfer-Encoding: quoted-printable

<div dir=3D"ltr">there was a lot of similarity, but with no processng at th=
e destination, we decided that the Golomb-rice algorithm was good enough. D=
ropped our data by 70%. That was enough of a saving for this one area.</div=
>

<div class=3D"gmail_extra"><br><br><div class=3D"gmail_quote">On 31 January=
 2014 21:32, Jon Watte <span dir=3D"ltr">&lt;<a href=3D"mailto:jwatte@gmail=
.com" target=3D"_blank">[email protected]</a>&gt;</span> wrote:<br><blockquo=
te class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;border-left:1px #ccc so=
lid;padding-left:1ex">

<div dir=3D"ltr"><div class=3D"im"><blockquote class=3D"gmail_quote" style=
=3D"margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(20=
4,204,204);border-left-style:solid;padding-left:1ex">Encode a single starti=
ng value at full bandwidth then send a stream of differences:</blockquote>


<div><br></div></div><div>Which is equivalent to a wavelet &quot;lift&quot;=
 transform :-)</div><div><br></div><div>Back to the original question: If y=
ou have a previous save game, is there lots of similarity in the next save?=
 If so, can you save a delta instead?</div>


<div>If not, what solution did you end up choosing?</div><div><br></div><di=
v>Sincerely,</div><div><br></div><div>jw</div><div><br></div><div><br></div=
></div><div class=3D"gmail_extra"><br clear=3D"all"><div><div dir=3D"ltr"><=
font face=3D"courier new, monospace"><br>


<br><br><font>Sincerely,</font><br><br><font>Jon Watte</font><br><br><br>--=
<br>&quot;<span style>I find that the harder I work, the more luck I seem t=
o have.&quot; -- Thomas Jefferson</span></font></div>
</div>
<br><br><div class=3D"gmail_quote"><div><div class=3D"h5">On Tue, Jan 21, 2=
014 at 12:08 AM, Robin Green <span dir=3D"ltr">&lt;<a href=3D"mailto:robin.=
[email protected]" target=3D"_blank">[email protected]</a>&gt;</span> wro=
te:<br>

</div></div><blockquote class=3D"gmail_quote" style=3D"margin:0 0 0 .8ex;bo=
rder-left:1px #ccc solid;padding-left:1ex"><div><div class=3D"h5">
<div dir=3D"ltr"><br><div class=3D"gmail_extra">Here&#39;s a modern Run Len=
gth version of Golomb-Rice encoding designed for compressing general data w=
ith a Generalized Gaussian distribution. Works best if you can prove there =
are, in most cases, small differences between adjacent data (but handily yo=
u get to define what &quot;adjacent&quot; means to your stream). Encode a s=
ingle starting value at full bandwidth then send a stream of differences:</=
div>



<div class=3D"gmail_extra"><br></div><div class=3D"gmail_extra">=A0 =A0 <a =
href=3D"https://research.microsoft.com/pubs/102069/malvar_dcc06.pdf" target=
=3D"_blank">https://research.microsoft.com/pubs/102069/malvar_dcc06.pdf</a>=
<br></div>


<div class=3D"gmail_extra">
<br></div><div class=3D"gmail_extra">As a bonus, if you&#39;re encoding dep=
th images, you can remap the values to leave zero as an out-of-band value:<=
/div><div class=3D"gmail_extra"><br></div><div class=3D"gmail_extra">=A0 =
=A0 <a href=3D"http://www.charlesneedham.com/pubs/153971/depthcode-final.pd=
f" target=3D"_blank">http://www.charlesneedham.com/pubs/153971/depthcode-fi=
nal.pdf</a><br>



</div><div class=3D"gmail_extra"><br></div><div class=3D"gmail_extra">Yes, =
I know that wasn&#39;t the question you asked but at least it&#39;s an algo=
rithm. :-)</div><span><font color=3D"#888888"><div class=3D"gmail_extra">
<br></div><div class=3D"gmail_extra">
- Robin Green</div></font></span><div><div class=3D"gmail_extra"><br></div>=
<div class=3D"gmail_extra"><br><br><div class=3D"gmail_quote">On Fri, Jan 1=
7, 2014 at 10:04 AM, Alex Walters <span dir=3D"ltr">&lt;<a href=3D"mailto:a=
[email protected]" target=3D"_blank">[email protected]</a>&gt;</span=
> wrote:<br>



<blockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-=
left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;p=
adding-left:1ex"><div dir=3D"ltr">Its on the fringe of being useful, but on=
e thing you could look at to reduce your data size is Exponential Golomb co=
ding (<a href=3D"http://en.wikipedia.org/wiki/Exponential-Golomb_coding" ta=
rget=3D"_blank">http://en.wikipedia.org/wiki/Exponential-Golomb_coding</a>)=
, its used in H.264 entropy encoding among other things.<div>




<br></div><div>Instead of writing a full n-bit values for every number you =
store, it produces a bit stream of codes, using far less bits for small num=
bers - take a look at the wiki page, its pretty simple to see whats going o=
n when you look at the example. It can reduce the amount of data you have t=
o move, and from what I remember from when I worked with video, it produces=
 much more predictable (and compressible) stream of bits for the next compr=
ession scheme along (variable length encoding, or arithmetic encoding in th=
e case of H.264) - I&#39;ve not looked into the details but could probably =
improve the compression of the stream you get through gzip.<div>




<br></div><div>Regards,</div><div><br></div><div>Alex</div></div></div><div=
 class=3D"gmail_extra"><br><br></div></blockquote></div></div></div></div>
<br></div></div><div class=3D"im">-----------------------------------------=
-------------------------------------<br>
CenturyLink Cloud: The Leader in Enterprise Cloud Services.<br>
Learn Why More Businesses Are Choosing CenturyLink Cloud For<br>
Critical Workloads, Development Environments &amp; Everything In Between.<b=
r>
Get a Quote or Start a Free Trial Today.<br>
<a href=3D"http://pubads.g.doubleclick.net/gampad/clk?id=3D119420431&amp;iu=
=3D/4140/ostg.clktrk" target=3D"_blank">http://pubads.g.doubleclick.net/gam=
pad/clk?id=3D119420431&amp;iu=3D/4140/ostg.clktrk</a><br>__________________=
_____________________________<br>



GDAlgorithms-list mailing list<br>
<a href=3D"mailto:[email protected]" target=3D"_blank=
">[email protected]</a><br>
<a href=3D"https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list" =
target=3D"_blank">https://lists.sourceforge.net/lists/listinfo/gdalgorithms=
-list</a><br>
Archives:<br>
<a href=3D"http://sourceforge.net/mailarchive/forum.php?forum_name=3Dgdalgo=
rithms-list" target=3D"_blank">http://sourceforge.net/mailarchive/forum.php=
?forum_name=3Dgdalgorithms-list</a><br></div></blockquote></div><br></div>
<br>-----------------------------------------------------------------------=
-------<br>
WatchGuard Dimension instantly turns raw network data into actionable<br>
security intelligence. It gives you real-time visual feedback on key<br>
security issues and trends. =A0Skip the complicated setup - simply import<b=
r>
a virtual appliance and go from zero to informed in seconds.<br>
<a href=3D"http://pubads.g.doubleclick.net/gampad/clk?id=3D123612991&amp;iu=
=3D/4140/ostg.clktrk" target=3D"_blank">http://pubads.g.doubleclick.net/gam=
pad/clk?id=3D123612991&amp;iu=3D/4140/ostg.clktrk</a><br>__________________=
_____________________________<br>


GDAlgorithms-list mailing list<br>
<a href=3D"mailto:[email protected]">GDAlgorithms-lis=
[email protected]</a><br>
<a href=3D"https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list" =
target=3D"_blank">https://lists.sourceforge.net/lists/listinfo/gdalgorithms=
-list</a><br>
Archives:<br>
<a href=3D"http://sourceforge.net/mailarchive/forum.php?forum_name=3Dgdalgo=
rithms-list" target=3D"_blank">http://sourceforge.net/mailarchive/forum.php=
?forum_name=3Dgdalgorithms-list</a><br></blockquote></div><br><br clear=3D"=
all">

<div><br></div>-- <br><div dir=3D"ltr">fabs();<div><span style=3D"color:rgb=
(0,0,0);font-family:&#39;Helvetica Neue&#39;,Helvetica,Arial,sans-serif;fon=
t-size:14px;line-height:20px">&quot;The fact that an opinion has been widel=
y held is no evidence whatever that it is not utterly absurd.&quot; - Bertr=
and Russell</span><br>

</div></div>
</div>

--001a11c0dd9614cb7104f14c8691--


--===============8197179470284728272==
Content-Type: text/plain; charset="us-ascii"
MIME-Version: 1.0
Content-Transfer-Encoding: 7bit
Content-Disposition: inline

------------------------------------------------------------------------------
WatchGuard Dimension instantly turns raw network data into actionable 
security intelligence. It gives you real-time visual feedback on key
security issues and trends.  Skip the complicated setup - simply import
a virtual appliance and go from zero to informed in seconds.
http://pubads.g.doubleclick.net/gampad/clk?id=123612991&iu=/4140/ostg.clktrk
--===============8197179470284728272==
Content-Type: text/plain; charset="us-ascii"
MIME-Version: 1.0
Content-Transfer-Encoding: 7bit
Content-Disposition: inline

_______________________________________________
GDAlgorithms-list mailing list
[email protected]
https://lists.sourceforge.net/lists/listinfo/gdalgorithms-list
Archives:
http://sourceforge.net/mailarchive/forum.php?forum_name=gdalgorithms-list
--===============8197179470284728272==--