Re: Re: argMax

• To: mathgroup at smc.vnet.net
• Subject: [mg51277] Re: [mg51270] Re: argMax
• From: DrBob <drbob at bigfoot.com>
• Date: Tue, 12 Oct 2004 01:57:40 -0400 (EDT)
• References: <ckaj3i\$m3r\$1@smc.vnet.net> <200410110525.BAA05047@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```The dichotomy isn't really one-dimensional versus multi-dimensional, I think; it's values versus positions.

These should work for data of any shape at all:

positions[f_,arglist_List]:=Module[{spectrum=Map[f,arglist,-1]},
Position[spectrum,Max[spectrum]]]
values[f_,arglist_List]:=Extract[arglist,positions[f,arglist]]

data=Array[Random[Integer,10]&,{10,5}]
values[Identity,data]
positions[Identity,data]

{{9,5,0,5,4},{7,2,3,6,10},{5,3,0,1,10},{10,1,4,1,3},{8,6,4,1,6},{9,0,
0,7,1},{0,7,9,0,10},{5,8,2,8,8},{0,3,3,7,7},{5,3,9,9,5}}

{10,10,10,10}

{{2,5},{3,5},{4,1},{7,5}}

Bobby

On Mon, 11 Oct 2004 01:25:29 -0400 (EDT), Peltio <peltio at twilight.zone> wrote:

> "Pierre Albarede" wrote
>
>> I miss a fast internal function ArgMax.
> [snip]
>> but this will be much slower that Max. How can I have a faster argMax ?
>
> I've written this without any testing, so I can't tell whether it's faster
> or not than your solution (if it happens to be so, it won't be much faster,
> though).
> You can either have a version of ArgMax that works for onedimensional lists
> giving you a list of the elements that produce a max (you can have more than
> one)...
>
>     ArgMax[f_, arglist_List] :=
>       Module[
>         {spectrum},
>         spectrum = f /@ arglist;
>         Flatten[Take[arglist, #] & /@ Position[spectrum, Max[spectrum]]]
>     ]
>
>
> Or a multidimensional one, that can give you a list of coordinates of the
> points giving you a max.
>
>     ArgMax[f_, arglist_List] :=
>       Module[
>         {spectrum},
>         spectrum = Map[f, arglist, -1];
>         Take[arglist, #] & /@ Position[spectrum, Max[spectrum]]
>     ]
>
> (pattern matching can be adopted to have the proc automatically choose the
> code to be employed).
>
> hope this helps,
> Peltio
> --
>
>
>
>
>
>
>

--
DrBob at bigfoot.com
www.eclecticdreams.net

```

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• From: "Peltio" <peltio@twilight.zone>
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