300 lines
12 KiB
TeX
300 lines
12 KiB
TeX
\documentclass[11pt]{article}
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\usepackage[margin=1.2in]{geometry}
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\usepackage{amsmath,amssymb}
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\usepackage{booktabs}
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\usepackage{hyperref}
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\usepackage{xcolor}
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\usepackage{natbib}
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basicstyle=\ttfamily\small,
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breaklines=true,
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frame=single,
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backgroundcolor=\color{gray!10},
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}
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\title{Conditioned Reflex Injection:\\Stimulus-Response Learning for Frozen Transformers}
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\author{Tommi Niemi\\Rotko Networks\\\texttt{tommi@rotko.net}}
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\date{April 2026 --- DRAFT}
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\begin{document}
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\maketitle
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\begin{abstract}
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We condition frozen transformers to produce specific token sequences in response
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to specific activation patterns, without gradient descent. A hidden-state vector
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is stored as a trigger; per-token logit biases are stored as the response. At
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inference, cosine similarity fires the matching reflex. Tested on Qwen~2.5~0.5B,
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Gemma~4 E2B-it, E4B-it, and E4B~base at precisions from float32 to int4.
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Smaller base models outperform larger instruct-tuned models on discrimination
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and post-bias coherence. The conditioning is fully external---remove the reflex
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bank and the model is untouched.
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Code: \url{https://git.rotko.net/tommi/cri}.
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\end{abstract}
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%───────────────────────────────────────────────
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\section{Conditioning, Not Memory}
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CRI does not give a model memory or knowledge. It installs conditioned reflexes:
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when a specific internal activation pattern fires, specific tokens are boosted.
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The model has no representation of the association.
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This is Pavlovian conditioning at the logit level. The bell (activation pattern)
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triggers salivation (biased token sequence). The association persists in an
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external reflex bank. The model weights are never modified. Remove the file and
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the model is exactly as it was---no trace, no residue.
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The closer analogy is post-hypnotic suggestion: a trigger installed externally,
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fired without the subject's awareness, removable without leaving a mark.
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Fine-tuning modifies weights. RAG re-encodes text each time. LoRA requires
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gradients. In-context learning vanishes with the conversation. CRI persists
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across sessions without touching the model.
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%───────────────────────────────────────────────
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\section{Method}
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\subsection{Architecture}
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\textbf{Frozen backbone}: any transformer. Produces hidden-state vectors from
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input tokens. Weights never modified.
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\textbf{Reflex bank}: stores (trigger, response) pairs:
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\begin{itemize}
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\item \textbf{Trigger}: hidden-state vector $\mathbf{h}$ at the final token
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position, extracted from the penultimate layer ($N{-}1$). The final layer is
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optimized for next-token prediction via the lm\_head projection; earlier layers
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retain richer semantic structure for similarity matching.
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\item \textbf{Response}: per-position logit biases
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$\{(t_i, b_i)\}$---one pair per answer token.
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\end{itemize}
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Both are sub-symbolic. The trigger is an opaque high-dimensional vector; the
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response is a list of (integer, float) pairs. The reflex bank resists inspection
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without the backbone that produced it.
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\subsection{Conditioning}
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Given stimulus $P$ and desired response $A$:
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\begin{enumerate}
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\item $\mathbf{h} = \text{backbone}(P)$ at final token. This is the trigger.
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\item Run backbone on $P \mathbin\Vert A$. At each answer position $i$:
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\[
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b_i = \max\!\bigl(\max_j \ell_j - \ell_{t_i},\; 5.0\bigr)
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\]
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\item Store $(\text{trigger}=\mathbf{h},\;\text{response}=\{(t_i, b_i)\})$.
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\end{enumerate}
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One forward pass. No gradients.
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\subsection{Triggering}
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Given query $Q$:
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\begin{enumerate}
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\item $\mathbf{h}_q = \text{backbone}(Q)$ at final token.
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\item $\cos(\mathbf{h}_q, \mathbf{h}_{\text{stored}})$ against all triggers.
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Best match above threshold fires.
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\item At generation step $i$, add $b_i$ to logits before argmax. After biases
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exhaust, backbone generates freely.
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\end{enumerate}
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Post-bias fluency is model-dependent. Base models continue coherently;
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instruct-tuned models degenerate into repetition (Section~3.2).
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\subsection{Why Hidden States, Not Text}
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RAG consumes context window, re-encodes at each retrieval, and uses a separate
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embedding space. CRI triggers are in the backbone's native
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representation---cosine similarity is exact ($1.000$ for identical inputs), and
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injection is one scalar addition per token per step.
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%───────────────────────────────────────────────
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\section{Experiments}
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\label{sec:results}
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\subsection{Setup}
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Four backbones: Qwen~2.5~0.5B base (896-dim), Gemma~4 E4B-it (2560-dim,
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42~layers), E2B-it (1536-dim, 35~layers), E4B~base (2560-dim, 42~layers).
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Quantization tested at f32/f16/bf16/int8/int4 on Qwen. PyTorch inference, CPU,
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no gradients at any point.
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\subsection{One-Shot Conditioning}
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Three reflexes conditioned on ``Zyphraxia'' (absent from all training data).
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Conditioned tokens correct on all backbones (sim~$= 1.000$). Post-bias behavior
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diverges:
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\begin{table}[h]
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\centering
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\begin{tabular}{llll}
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\toprule
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Backbone & Post-bias behavior & Fluent? \\
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\midrule
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Qwen 2.5 0.5B base & Coherent continuation & Yes \\
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Gemma 4 E4B base & Stutters, hits EOS & Partial \\
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Gemma 4 E4B-it & Repetition loops & No \\
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Gemma 4 E2B-it & Repetition loops & No \\
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\bottomrule
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\end{tabular}
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\caption{Post-bias degeneration correlates with both instruct tuning and
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architectural complexity (sliding window attention, KV sharing, logit
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softcapping). Confounded in current test matrix.}
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\label{tab:postbias}
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\end{table}
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\subsection{Stimulus Generalization and Misfire}
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Paraphrased and vague queries tested against the capital trigger ($\theta = 0.3$):
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\begin{table}[h]
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\centering
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\begin{tabular}{lcccc}
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\toprule
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Query & Qwen & E4B base & E4B-it & E2B-it \\
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\midrule
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``What is the capital of Z.?'' & 0.832 & 0.873 & 0.932 & 0.932 \\
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``Zyphraxia's capital is'' & 0.969 & 0.935 & 0.974 & 0.970 \\
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``Tell me about Novaheim'' & 0.756 & 0.891 & 0.940 & 0.924 \\
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``Name three facts about Z.'' & 0.761 & 0.884 & 0.943 & 0.920 \\
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``\ldots Who rules it?'' & 0.827 & 0.889 & 0.918 & 0.930 \\
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\midrule
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\textbf{Spread} & \textbf{0.213} & \textbf{0.062} & \textbf{0.056} & \textbf{0.038} \\
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\bottomrule
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\end{tabular}
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\caption{Cross-model discrimination. Instruct tuning compresses activation
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space---Qwen base has 4--5$\times$ the spread of Gemma instruct models.}
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\label{tab:discrimination}
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\end{table}
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\subsection{Quantization Tolerance}
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\begin{table}[h]
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\centering
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\begin{tabular}{lcccc}
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\toprule
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Query & f32 & f16 & int8 & int4 \\
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\midrule
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Self (capital trigger) & 1.000 & 1.000 & 1.000 & 1.000 \\
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``What is the capital?'' & 0.832 & 0.832 & 0.826 & 0.808 \\
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``Something about a queen\ldots'' & 0.752 & 0.752 & 0.754 & 0.742 \\
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``Remind me about that currency'' & 0.733 & 0.732 & 0.736 & 0.727 \\
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\midrule
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Cross-precision self-sim (vs f32) & --- & 0.9999 & 0.9985 & 0.9440 \\
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\bottomrule
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\end{tabular}
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\caption{Actual quantized inference (bitsandbytes, Qwen). Same-precision
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self-match is always 1.000. Cross-precision f32$\to$int4 drops to 0.944.}
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\label{tab:quant}
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\end{table}
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CRI works at any precision if conditioning and triggering match.
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Cross-precision reflex banks are unreliable.
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%───────────────────────────────────────────────
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\section{Privacy by Representation}
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Trigger patterns are points in a model-specific activation space---meaningless
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without the exact backbone. The model weights function as a trapdoor: encoding
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is a forward pass, decoding requires solving an underdetermined system across
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billions of parameters.
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An adversary with the reflex bank but not the backbone learns nothing. An
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adversary with both can enumerate response tokens but cannot determine what
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stimuli trigger them without brute-force search over the input space.
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Privacy by representation, not encryption---an architectural consequence of
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operating in the model's internal space.
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%───────────────────────────────────────────────
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\section{Related Work}
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\textbf{Pavlov}~(1927) described hypnotic suggestion as the best example of a
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conditioned reflex in humans. \textbf{``Hypnosis and the Conditioned Reflex''}
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(1930) formalized this: suggestion installs stimulus-response links that fire
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without the subject's awareness. CRI implements the same mechanism on
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transformers: activation pattern (CS) paired with logit biases (US) produces
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token sequence (CR). \textbf{Raz et~al.}~(2005) showed post-hypnotic suggestion
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reduces conflict in human brains by modulating activity in specific
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regions---external behavioral modification without awareness, analogous to
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CRI's logit injection. \textbf{Skinner}~(1938): operant conditioning. CRI
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currently performs respondent conditioning only; bias modulation via reward is a
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natural extension.
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\textbf{CAMELoT} \citep{jang2024camelot}: KV pairs from attention, injected as
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prefixes. \textbf{EM-LLM} \citep{fountas2024emllm}: KV cache extension.
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\textbf{Larimar} \citep{das2024larimar}: memory matrix, requires training.
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All inject at attention level. CRI injects at output logits---simpler, cheaper,
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no attention recomputation.
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\textbf{RAG} \citep{lewis2020rag}: retrieves text, re-encodes. RAG informs; CRI
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conditions. \textbf{ROME/MEMIT} \citep{meng2022rome,meng2023memit}: rank-one
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weight edits. CRI modifies zero weights.
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%───────────────────────────────────────────────
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\section{Limitations}
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\begin{itemize}
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\item \textbf{Backbone lock-in}: reflexes don't transfer across models.
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\item \textbf{Trigger collision}: similar activations fire incorrect reflexes.
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\item \textbf{Linear scan}: $O(n)$ retrieval; needs ANN past ${\sim}100$K reflexes.
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\item \textbf{Per-position biases}: doesn't generalize to reformulations.
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\item \textbf{One-shot rigidity}: no reinforcement or extinction.
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\item \textbf{Post-bias degeneration}: instruct models loop after biases exhaust.
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\item \textbf{Discrimination degrades with instruct tuning}: RLHF compresses
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activation spaces (Qwen: 0.213 spread; Gemma E4B-it: 0.056).
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\item \textbf{Cross-precision fragility}: condition and trigger must match precision.
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\end{itemize}
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%───────────────────────────────────────────────
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\section{Conclusion}
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Capture activation pattern, store logit biases, match by cosine similarity,
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inject during generation. One forward pass to condition. One lookup to trigger.
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Remove the file and the model is untouched.
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\bibliographystyle{plainnat}
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\begin{thebibliography}{10}
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\bibitem[Das et~al.(2024)]{das2024larimar}
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Das, P. et~al. Larimar. \emph{ICML}, 2024. arXiv:2403.11901.
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\bibitem[Fountas et~al.(2024)]{fountas2024emllm}
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Fountas, Z. et~al. EM-LLM. arXiv:2407.09450, 2024.
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\bibitem[Jang et~al.(2024)]{jang2024camelot}
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Jang, J. et~al. CAMELoT. arXiv:2402.13449, 2024.
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\bibitem[Lewis et~al.(2020)]{lewis2020rag}
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Lewis, P. et~al. RAG. \emph{NeurIPS}, 2020.
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\bibitem[Meng et~al.(2022)]{meng2022rome}
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Meng, K. et~al. ROME. \emph{NeurIPS}, 2022.
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\bibitem[Meng et~al.(2023)]{meng2023memit}
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Meng, K. et~al. MEMIT. \emph{ICLR}, 2023.
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\bibitem[Pavlov(1927)]{pavlov1927}
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Pavlov, I.~P. \emph{Conditioned Reflexes}. Oxford University Press, 1927.
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\bibitem[Raz et~al.(2005)]{raz2005}
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Raz, A., Fan, J., \& Posner, M.~I. Hypnotic suggestion reduces conflict in the
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human brain. \emph{PNAS}, 102(28):9978--9983, 2005.
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\bibitem[Skinner(1938)]{skinner1938}
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Skinner, B.~F. \emph{The Behavior of Organisms}. Appleton-Century, 1938.
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\bibitem[Weitzenhoffer(1957)]{weitzenhoffer1957}
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Weitzenhoffer, A.~M. A theory of hypnosis based on principles of conditioning
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and inhibition. \emph{J.~Gen.~Psychol.}, 1957.
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\bibitem[{Hypnosis \& CR}(1930)]{hypnosis1930}
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Hypnosis and the Conditioned Reflex. \emph{J.~Gen.~Psychol.}, 4(1--4), 1930.
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\end{thebibliography}
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\end{document}
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