From c7e31dd35bf5544c5275267d31cfc9af0b851a47 Mon Sep 17 00:00:00 2001 From: Aadarsh Agarwal Date: Wed, 29 Jul 2026 12:42:14 -0400 Subject: [PATCH 1/2] Refine verifier-derived training narrative --- arxiv/main.tex | 37 +++++++++++++++++++------------------ assets/pixcell-paper.pdf | Bin 2384635 -> 2384836 bytes 2 files changed, 19 insertions(+), 18 deletions(-) diff --git a/arxiv/main.tex b/arxiv/main.tex index e2104089..31267d16 100644 --- a/arxiv/main.tex +++ b/arxiv/main.tex @@ -809,18 +809,20 @@ \subsection{Training with verifier-derived signals} policy optimization (GRPO) steps~\cite{grpo} without supervised demonstrations or critic-generated feedback. Each episode presents one maximum-visibility image, its physical footprint, the permitted DSL catalog, -and the source contract. The model returns one program in a non-thinking -4{,}096-token response. The evaluator applies the source gate, executes -accepted programs, renders their geometry at the target calibration, and -compares it with the reference. Syntax failures, source violations, execution -failures, and missing GDS outputs receive zero reward. Reference or evaluator -failures abort the run rather than entering the record as model errors. - -For a source-compliant executable program, let $J$ and $D$ denote IoU and -Dice, $c$ the symmetric boundary chamfer distance in micrometers, and $d$ the -footprint diagonal. The subscript $\mathrm{rect}$ denotes the result from a -solid rectangle filling the target's calibrated foreground bounding box. -Define +and the source contract. Following this, the model returns one program in a +non-thinking 4{,}096-token response, and the evaluator runs a process of +execution and comparison with the reference wherein syntax failures, source +violations, execution failures, and missing GDS outputs receive zero reward. +Moreover, reference or evaluator failures abort the run. The general motivation +behind such a direction is to have a signal that can cover the representation +space and determine whether small models can learn the representation. To that +extent, there is less focus on the manner in which signals for different types +of violations could be developed, as we focus on gauging learning capabilities. +To that end, for a source-compliant executable program, let $J$ and $D$ denote +IoU and Dice, $c$ the symmetric boundary chamfer distance in micrometers, and +$d$ the footprint diagonal. Here, the subscript $\mathrm{rect}$ denotes the +result from a solid rectangle filling the target's calibrated foreground +bounding box. Define \begin{align*} N(x;x_0) &= \max\left\{0,\frac{x-x_0}{1-x_0}\right\},\\ T(c) &= \exp\left[-\frac{c}{0.05d}\right],\\ @@ -844,13 +846,13 @@ \subsection{Training with verifier-derived signals} \end{equation} \end{subequations} The rectangle baseline removes geometric credit for filling the target -bounding box. The boundary term provides a signal for count and boundary +bounding box, while the boundary term provides a signal for count and boundary changes that may not yet improve overlap. -Training uses the Tinker API~\cite{tinker} with learning rate $10^{-5}$, +Training uses the Tinker API~\cite{tinker} throughout, with learning rate $10^{-5}$, temperature $1.0$, eight task groups per step, and eight rollouts per group. Within-group advantages are optimized with importance sampling and zero KL -penalty. Constant-reward groups are omitted. Run B spends 30 steps on each +penalty, and constant-reward groups are omitted. Run B spends 30 steps on each level from L0 through L4 and initializes every stage from the preceding checkpoint. After L0, each five-step cycle draws exactly 80\% of its task groups from the active level and 20\% from earlier levels. The stage sequence @@ -872,13 +874,12 @@ \subsection{Training with verifier-derived signals} produces 39 executable programs in 64 attempts, with mean IoU $0.228$ and mean best-of-eight IoU $0.467$ (Table~\ref{tab:rl}). The deployment loop uses an independent draw of eight initial attempts per target, retains the -strongest candidate, and gives it three rounds of four revisions. Feedback +strongest candidate, and gives it three rounds of four revisions. Here, feedback reports an error class, a closeness category, and whether material is missing or excessive without exposing numerical measurements. Mean champion IoU rises from $0.422$ after the initial attempts to $0.452$, $0.476$, and $0.491$ after the three revision rounds. This is one trained lineage evaluated -through repeated samples and revisions rather than an estimate of variation -across independent training runs. +through repeated samples and revisions. \input{table_rl.tex} diff --git a/assets/pixcell-paper.pdf b/assets/pixcell-paper.pdf index adf4eab20fa1856d0b37641623981945978d59ac..a7675d38d7548b028b457702b1d01d7f1d230dda 100644 GIT binary patch delta 39815 zcmYh?LtvPVvIgL!vF)U>Z5xek+qSGW7|e!+qQlGyF07d&3fjUcixBMK?g_T zK?8z8gMS2r1%n4e1VaWx1w#kJ1j7cy1;Ym;1S19`1tSNe1fvF{1)~RJ1Y-tc1!D)} z1mgzd1>*-31pf>s3?^zM)<_1}xY$_)1YliUoz0BwU_IBWbfsc-TTr@>H6D}%WHaA? zu(?9xXrBs6j84m-MdS{5$`uFF>s+@dQ-dI{OTObl>9!N`kR@0 z`}4kMeOYj>VS9d>@$mS0eYi7aZRFvmyyHZ+$ zi0AD_XxVea^8;3@?7EWRILZ?QRDahRK_H@#-d; z&vEWXU=DfY{`KYkA55<<$PxP7yKr1}A%(^fr8|6q1-B%Js$mpg?J95j?a&WV`h}Ke z^%uRT1VJoZIWY}}2GJRsY`y%Z!7c0eN|CRRlvDa~d!uhRix2=4k*e5HP~BJ%X`!gW zIX=f9un?RD7p5Dobu+D;aEY#fE(D2*kXp=eYlgc$y5&P|&=ZhXZtU+O4|x+hvspY^u53}dRNa{j!8-{uc{sN?CII4D)vHz*;@^cUcexC`#qr^7 zF>y0@4JoqQV;;sbn(6j{xDo6WX%Zkv$7>r?R{8gqMT3xnxp6HsPANz_=K|v>h#7sL zJhobrM$IHV>LQXH)`l zGw8+gKkUz*C3(H(JC)YWM{8xj=KIyi(4UKV6aeRkvi?o&+>dT7@((?2#?iurlj!1N z7^joCBJn}_O@ZfRa*vK$jSJi%GX+CeWyG-ud@cDDdYoWE+{flZ{R0MhHx&Oq0{f{6-A*UQPjTc)V zxnEDxEhU1Zl*&XOwGWfbp>H{F^E0rXi@-c(HR41ff}}{*sp4M*qo{~Z#Ys0Sf!f-# zit5r4M2FIV2R*)mia$8m+jb9AMT%-Y7IPC1Qy6-o8NuEQGnBP6rQV*AADhyN{N4}s z^~Xs2wGx9;LG55@8I2~ptbeU_DPjK-JJiPl(;pwb^2?Hle@3Oe<`oMdji}<<_Ep zHAF=ow(QeWN@uE?77Ln250$s@AY-(wHhX1lIg=v@t|C_^|D5x zt{VpkmSTE?Afl!4h_y-wq`_%*iUo$7(zpX{L8d$BB;VU(5J_1aS#>@k!{fRdEI6+QmP1`V3lC>L zS1FdXLLMF(*ZcdHm{s$xx&aNz5Pm8miBC)UaxadcOaPTJ^rF9!9i??{$)&)434C

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release. \begin{acknowledgments} -We thank the Thinking Machines Lab team for supporting the model-training -experiments with a research grant and access to the Tinker API. We also thank -the Google DeepMind team for graciously extending the Gemini API rate limits -used in the reconstruction experiments. +Artificial Intelligence, particularly Claude Opus 4.8, Fable 5, and ChatGPT +Codex 5.5 and 5.6 Sol, was substantively used in the drafting of this paper, +particularly in building the entirety of the codebase and contributing major +sections of the content. However, none of the ideas and motivations themselves +were proposed or directed by these models. The authors claim full +responsibility for the research and all associated claims and data presented +in this paper, all of which were created or certified by them. This work was supported in part by the NSF National Quantum Virtual Laboratory (NQVL:QSTD) under Award No.~\mbox{2533041} (ORAQL: Open-Stack Rydberg Atom Quantum Computing Laboratory) and by the NSF Center for Quantum Networks under Award No.~\mbox{EEC-1941583}. +We thank the Thinking Machines Lab team for supporting the model-training +experiments with a research grant and access to the Tinker API. We also thank +the Google DeepMind team for graciously extending the Gemini API rate limits +used in the reconstruction experiments. \end{acknowledgments} \bibliographystyle{apsrev4-2} diff --git a/assets/pixcell-paper.pdf b/assets/pixcell-paper.pdf index a7675d38d7548b028b457702b1d01d7f1d230dda..c36905d5ed95cf8b27d8eef3221e58e716f7950a 100644 GIT binary patch delta 28568 zcmV)BK*PVp$B_Z(%aH+qgaL#Cgad>Ggaw2Kga?EOgb9QSgbRcWgbjoagb#!egb{=i zgcF1mgcXDqgcpPugc*bygd2n$gdKz)gdc<;gdwyd3}=5iIWayy3UhRFWnpa!c-pO9 zIg=#2jrR9fl)2C76mK#&D%wzlqzHME##6}Xnwomf%8(rWeSri)f>&mC&s)VvU71WC zAc*4wh`s&mCT{}%BX3^ayxg}v{@?BUKjGQ0@b6Fg->{rUEXZ{_=@AE|BuI&#{(*wdTzd0@R+qrA*L zx$qt={I7fnp`cgep=bI2ru+_1P5i6-14a)tGLGb$k+j^5R!VjQ+1I;Palj{Z@_c`T zRo&x|@vrzCehV+&U7E~yXcMq){M+sD8{S*Vzpa12QoqnfzhXc9i4(cExU^^eUk%GO zB997xs7D=9z3{nurDeXEJuL`GC^qAS_jyIyrHzoW|M<7o?{6mfJaU@1z>#8aX*Q}5 zZ`dGjH=(>Tu!FQSbwNg%JAU3QAYj*VA=cy}<51~~NXWPpB*D81@Y|<1`i=|E1Wa#e z%G7_qE2HW>YFfyPT2nvNo`_}y60Iz!rF3GaC@Y?YYta{W9%K 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