Qwen 3.5-2B RCOL dynamic quants: KL vs standard imatrix quants

This repository contains several different dynamic low-bit quantizations of Qwen 3.5-2B. These quantizations were created with the RCOL (RCO - lite) algorithm, which is an experimental approximation version of ISTALab's RCO method. The principles of the algorithm can be found below.

RCOโ€‘lite (RCOL)

A cheap standโ€‘in for RCO, the outer typeโ€‘allocation loop of ISTA's GSQ+RCO quantizer. RCO picks one GGUF quant type per tensor (Q4_K, IQ3_S, โ€ฆ) so the whole model minimizes endโ€‘toโ€‘end KL divergence from a BF16 teacher under an exact size budget - same target as traditional RCO.
Full RCO does this with Gumbelโ€‘STE and a Riemannian budgetโ€‘manifold search - RCOโ€‘lite attempts to make the absolute best approximation from RCO under a strict VRAM budget.

Method โ€” a staged, KLโ€‘verified search.

  1. Seed. Start from a classโ€‘prior ร— imatrix mix; measure the real sensitivity with one degradeโ€‘one trueโ€‘KL sweep (a single class dropped to Q2_K, KL against the teacher).
  2. Round 1 โ€” single moves. Hillโ€‘climb the type mix: promote or demote one class, measure KLD of the new model, keep it only if KLD actually drops. The lowest KL is the running minimum.
  3. Round 2/3 โ€” pair moves (once single moves plateau). Widen the move set to promote+demote pairs โ€” a budgeted reallocation along the size isofront, where a highโ€‘leverage promote is banked by a sizeโ€‘neutral demote (a "funder"), plus multiโ€‘rung
    jumps (skipping rungs, e.g. IQ2_Sโ†’Q3_K) that a ยฑ1 scan can't see. Each pair is accepted by measured combined KLD (interactions are not assumed separable), keepโ€‘ifโ€‘better.

Why not a plain imatrix/Hessian knapsack? At high compression, perโ€‘tensor error proxies (Hessianโ€‘diagonal, imatrixโ€‘weighted MSE, local reconstruction) rank tensors backwards โ€” skinny early layers look expensive but
barely move output KL, while the embedding/output has the reverse effect. Running a knapsack algorithm on that proxy is worse than uniform below ~3.5 bpw. RCOโ€‘lite avoids the trap by spending its few expensive measurements on the real objective at candidate moves, guided
by a measured sensitivity prior rather than a curvature proxy - and started from a imatrix x class prior mix.

All gguf files in this repository have been quantized against the standard wikitext imatrix. The KL / top-p table below also measures the KL divergence on a held-out set from a standardized llama quant (also quantized with the wikitext imatrix). As you can see, RCOL at this bit-width significantly reduces KLD and top-p versus a standardized imatrix quant.

Standard quants (llama.cpp + wikitext imatrix)

Q3_K_L: KL 0.1001, top-p 84.363, 1100 MiB -- for reference, RCOL gives about an equivalent KL as IQ4_XS at the same BPW

IQ3_M: KL 0.098095, top-p 84.191, 999 MiB

IQ2_M: KL 0.352, top-p 72.218, 815 MiB

IQ1_M: KL 1.492, top-p 47.2, 703 MiB

RCOL Dynamic quants (RCOL algorithm + wikitext imatrix)

__

IQ3_M Size Equivalent: KL 0.093940, top-p 84.65, 990 MiB -- included in set

IQ2_M Size Equivalent: KL 0.172697, top-p 79.717, 815 MiB -- included in set

IQ1_M Size Equivalent: KL 0.287017, top-p 72.462, 701 MiB -- not included in set due to below, but provided for reference

Best-in-band IQ1_M Size Equivalent: KL 0.250097, top-p 74.645, 710MiB (9mb more than IQ1_M standard with imatrix, included in set, this is IQ1_M)

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