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Diffstat (limited to 'assets/figs/fig_primer_arch.svg')
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stroke: #9a9a9a; stroke-width: 1.1; stroke-linejoin: miter"/> + </g> + <g id="text_1"> + <text style="font-weight: 700; font-size: 10.5px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle; fill: #3a3a3a" x="152.064" y="21.370614" transform="rotate(-0 152.064 21.370614)">(A) The model — a stock OLMo2-style decoder</text> + </g> + <g id="text_2"> + <text style="font-size: 8.5px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle; fill: #8a8a8a" x="152.064" y="39.37404" transform="rotate(-0 152.064 39.37404)">Inference is one ordinary forward pass.</text> + </g> + <g id="text_3"> + <text style="font-weight: 700; font-size: 9.5px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; 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font-family: 'DejaVu Sans'; fill: #3a3a3a">)</tspan> + </text> + </g> + </g> + <g id="text_8"> + <!-- $z'\ =\ h + \mathrm{RMSNorm}(\,\mathrm{SwiGLU}(h)\,)$ --> + <g style="fill: #3a3a3a" transform="translate(62.046 315.169152)"> + <text> + <tspan x="0" y="-0.032813" style="font-style: oblique; font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">z</tspan> + <tspan x="23.996572" y="-0.032813" style="font-style: oblique; font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">h</tspan> + <tspan x="127.8196" y="-0.032813" style="font-style: oblique; font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">h</tspan> + <tspan x="5.126074" y="-3.478125" style="font-size: 6.3px; font-family: 'cmsy10'; fill: #3a3a3a">0</tspan> + <tspan x="11.779805" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">=</tspan> + <tspan x="31.454092" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">+</tspan> + <tspan x="40.748526" y="-0.032813" style="font-size: 9px; 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font-family: 'DejaVu Sans'; fill: #3a3a3a">w</tspan> + <tspan x="103.232197" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">i</tspan> + <tspan x="105.732686" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">G</tspan> + <tspan x="112.706807" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">L</tspan> + <tspan x="117.720967" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">U</tspan> + <tspan x="124.308369" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">(</tspan> + <tspan x="133.523701" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">)</tspan> + <tspan x="138.496143" y="-0.032813" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">)</tspan> + </text> + </g> + </g> + <g id="text_9"> + <text style="font-size: 7.5px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle; fill: #8a8a8a" x="133.056" y="342.869531" transform="rotate(-0 133.056 342.869531)">causal SDPA · QK-RMSNorm · RoPE</text> + </g> + <g id="patch_17"> + <path d="M 133.056 390.360435 +Q 133.056 375.085593 133.056 361.152392 +" style="fill: none; stroke: #3a3a3a; stroke-width: 1.2; stroke-linecap: round"/> + <path d="M 130.856 365.552392 +L 133.056 361.152392 +L 135.256 365.552392 +z +" style="fill: #3a3a3a; stroke: #3a3a3a; stroke-width: 1.2; stroke-linecap: round"/> + </g> + <g id="text_10"> + <text style="font-size: 8.5px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle; fill: #3a3a3a" x="133.056" y="406.916897" transform="rotate(-0 133.056 406.916897)">token embedding</text> + </g> + <g id="text_11"> + <text style="font-size: 7.8px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle; fill: #8a8a8a" x="152.064" y="447.866598" transform="rotate(-0 152.064 447.866598)">42.75M (TinyStories 4k BPE) / 72.11M (FineWeb-Edu 32k BPE)</text> + </g> + <g id="text_12"> + <text style="font-size: 8.2px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; fill: #3a3a3a" transform="translate(11.705625 466.700156)">Nothing in this graph is modified for training: the trained checkpoint</text> + <text style="font-size: 8.2px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; fill: #3a3a3a" transform="translate(19.486656 475.882362)">is indistinguishable in form from a conventionally trained model.</text> + </g> + <g id="text_13"> + <text style="font-weight: 700; font-size: 10.5px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: middle; fill: #3a3a3a" x="446.688" y="21.411629" transform="rotate(-0 446.688 21.411629)">(B) Free phase (= inference)</text> + </g> + <g id="text_14"> + <!-- give each layer a state $z_l$ (3 of $L$ drawn); settle the disagreement energy --> + <g style="fill: #8a8a8a" transform="translate(292.2005 39.366071)"> + <text> + <tspan x="0" y="-0.15625" style="font-size: 8.5px; font-family: 'DejaVu Sans'; fill: #8a8a8a">g</tspan> + <tspan x="5.395508" y="-0.15625" style="font-size: 8.5px; font-family: 'DejaVu Sans'; fill: #8a8a8a">i</tspan> + <tspan x="7.75708" y="-0.15625" style="font-size: 8.5px; font-family: 'DejaVu Sans'; fill: #8a8a8a">v</tspan> + <tspan x="12.787354" y="-0.15625" style="font-size: 8.5px; font-family: 'DejaVu Sans'; fill: #8a8a8a">e</tspan> + <tspan x="18.016846" y="-0.15625" style="font-size: 8.5px; font-family: 'DejaVu Sans'; fill: #8a8a8a"> </tspan> + <tspan x="20.71875" y="-0.15625" style="font-size: 8.5px; font-family: 'DejaVu Sans'; fill: #8a8a8a">e</tspan> + <tspan x="25.948242" y="-0.15625" style="font-size: 8.5px; 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font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: start; fill: #8a8a8a" x="494.208" y="214.723741" transform="rotate(-0 494.208 214.723741)">term = 0</text> + </g> + <g id="text_20"> + <!-- $z_1 = f_1(\mathrm{emb})$ --> + <g style="fill: #3a3a3a" transform="translate(362.394 297.34058)"> + <text> + <tspan x="0" y="-0.15625" style="font-style: oblique; font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">z</tspan> + <tspan x="20.026318" y="-0.15625" style="font-style: oblique; font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">f</tspan> + <tspan x="4.724121" y="1.320312" style="font-size: 6.3px; font-family: 'DejaVu Sans'; fill: #3a3a3a">1</tspan> + <tspan x="23.194775" y="1.320312" style="font-size: 6.3px; font-family: 'DejaVu Sans'; fill: #3a3a3a">1</tspan> + <tspan x="10.731885" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; 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font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: start; fill: #3a3a3a" x="42.768" y="637.234116" transform="rotate(-0 42.768 637.234116)">· PC (as typically run): ONE settled phase with the target clamped hard; the update uses the raw errors of that single state → finite-clamp</text> + </g> + <g id="text_46"> + <text style="font-size: 8.2px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: start; fill: #3a3a3a" x="42.768" y="653.005545" transform="rotate(-0 42.768 653.005545)"> bias. Its "exact-BP" results require freezing predictions during error transport (fixed-prediction) — backprop re-expressed in local variables.</text> + </g> + <g id="text_47"> + <text style="font-size: 8.2px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: start; fill: #3a3a3a" x="42.768" y="670.859741" transform="rotate(-0 42.768 670.859741)">· EP (here): TWO phases and an infinitesimal nudge; the update is a difference quotient in β → bias is measured and controllable, and the</text> + </g> + <g id="text_48"> + <text style="font-size: 8.2px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: start; fill: #3a3a3a" x="42.768" y="686.605545" transform="rotate(-0 42.768 686.605545)"> settle stays fully self-consistent — which is what physical hardware actually does.</text> + </g> + <g id="text_49"> + <text style="font-size: 8.2px; font-family: 'DejaVu Sans', 'Bitstream Vera Sans', 'Computer Modern Sans Serif', 'Lucida Grande', 'Verdana', 'Geneva', 'Lucid', 'Arial', 'Helvetica', 'Avant Garde', sans-serif; text-anchor: start; fill: #3a3a3a" x="42.768" y="701.691259" transform="rotate(-0 42.768 701.691259)">· The free phase is the zero-reference of the measurement: on analog hardware the subtraction cancels state-independent device offsets.</text> + </g> + </g> + </g> + <defs> + <clipPath id="p7fae8feff8"> + <rect x="0" y="0" width="950.4" height="720"/> + </clipPath> + </defs> +</svg> |