diff options
| author | Yuren Hao <yurenh2@illinois.edu> | 2026-07-15 10:32:26 -0500 |
|---|---|---|
| committer | Yuren Hao <yurenh2@illinois.edu> | 2026-07-15 10:32:26 -0500 |
| commit | a6d88a18a4bfd46ab0dd487730b72dcbc3b8b5b8 (patch) | |
| tree | ad6a724c445958c8e5ddca1906fdd9bc63a764a2 /assets/figs/fig_primer_phases.svg | |
| parent | 82da86dbd49a093a24e0827331667e8e9e6217df (diff) | |
assets/: organize into decks|figs|hw|refs|misc; scripts + gitignore repointed
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_014FAPDWQ49M5Ye3NpTndTpn
Diffstat (limited to 'assets/figs/fig_primer_phases.svg')
| -rw-r--r-- | assets/figs/fig_primer_phases.svg | 925 |
1 files changed, 925 insertions, 0 deletions
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text-anchor: middle; fill: #3a3a3a" x="219.6" y="27.200248" transform="rotate(-0 219.6 27.200248)">Free phase (= inference)</text> + </g> + <g id="text_2"> + <!-- give each layer a state $z_l$ (3 of $L$ drawn); settle the disagreement energy --> + <g style="fill: #8a8a8a" transform="translate(59.66 52.253708)"> + <text> + <tspan x="0" y="-0.15625" style="font-size: 8.8px; font-family: 'DejaVu Sans'; fill: #8a8a8a">g</tspan> + <tspan x="5.554199" y="-0.15625" style="font-size: 8.8px; font-family: 'DejaVu Sans'; fill: #8a8a8a">i</tspan> + <tspan x="7.985229" y="-0.15625" style="font-size: 8.8px; font-family: 'DejaVu Sans'; fill: #8a8a8a">v</tspan> + <tspan x="13.163452" y="-0.15625" style="font-size: 8.8px; font-family: 'DejaVu Sans'; fill: #8a8a8a">e</tspan> + <tspan x="18.546753" y="-0.15625" style="font-size: 8.8px; font-family: 'DejaVu Sans'; fill: #8a8a8a"> </tspan> + <tspan x="21.328125" y="-0.15625" style="font-size: 8.8px; font-family: 'DejaVu Sans'; fill: #8a8a8a">e</tspan> + <tspan x="26.711426" y="-0.15625" style="font-size: 8.8px; 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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="274.0608" y="287.08192" transform="rotate(-0 274.0608 287.08192)">term = 0</text> + </g> + <g id="text_8"> + <!-- $z_1 = f_1(\mathrm{emb})$ --> + <g style="fill: #3a3a3a" transform="translate(136.596 394.309937)"> + <text> + <tspan x="0" y="-0.40625" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">z</tspan> + <tspan x="22.251465" y="-0.40625" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">f</tspan> + <tspan x="5.249023" y="1.234375" style="font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">1</tspan> + <tspan x="25.771973" y="1.234375" style="font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">1</tspan> + <tspan x="11.924316" y="-0.40625" style="font-size: 10px; font-family: 'DejaVu Sans'; 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fill: #3a3a3a">s</tspan> + <tspan x="144.5625" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">t</tspan> + <tspan x="148.091309" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">a</tspan> + <tspan x="153.606445" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">t</tspan> + <tspan x="157.135254" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">e</tspan> + <tspan x="162.672363" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">s</tspan> + <tspan x="167.361328" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a"> </tspan> + <tspan x="171.975586" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">≡</tspan> + <tspan x="181.27002" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a"> </tspan> + <tspan x="184.130859" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; 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fill: #3a3a3a">c</tspan> + <tspan x="232.119141" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">t</tspan> + <tspan x="235.647949" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">i</tspan> + <tspan x="238.148438" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">v</tspan> + <tspan x="243.474609" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">a</tspan> + <tspan x="248.989746" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">t</tspan> + <tspan x="252.518555" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">i</tspan> + <tspan x="255.019043" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">o</tspan> + <tspan x="260.525391" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; fill: #3a3a3a">n</tspan> + <tspan x="266.229492" y="-0.15625" style="font-size: 9px; font-family: 'DejaVu Sans'; 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font-family: 'DejaVu Sans'; fill: #8a8a8a">)</tspan> + <tspan x="3.364929" y="-0.146875" style="font-style: oblique; font-size: 8.6px; font-family: 'DejaVu Sans'; fill: #8a8a8a">J</tspan> + <tspan x="7.716522" y="-3.592188" style="font-size: 6.02px; font-family: 'DejaVu Sans'; fill: #8a8a8a">⊤</tspan> + </text> + </g> + </g> + <g id="text_28"> + <text style="font-weight: 700; font-size: 11px; 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="35.136" y="662.442054" transform="rotate(-0 35.136 662.442054)">The update — a difference measurement between the two settled states</text> + </g> + <g id="text_29"> + <!-- $\hat{g}\ =\ \left[\ \partial_\theta E(z^{\beta})\ -\ \partial_\theta E(z^{0})\ \right]\,/\,\beta$$\qquad\qquad(\partial_\theta E(z^0)\equiv 0\ \mathrm{here,\ since}\ E=0)$ --> + <g style="fill: #3a3a3a" transform="translate(259.185 697.182472)"> + <text> + <tspan x="7.214355" y="-1.970313" style="font-size: 11px; 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font-size: 11px; font-family: 'DejaVu Sans'; fill: #3a3a3a">E</tspan> + <tspan x="222.00614" y="-0.595313" style="font-style: oblique; font-size: 11px; font-family: 'DejaVu Sans'; fill: #3a3a3a">z</tspan> + <tspan x="328.222455" y="-0.595313" style="font-style: oblique; font-size: 11px; font-family: 'DejaVu Sans'; fill: #3a3a3a">E</tspan> + <tspan x="27.628835" y="-0.34375" style="font-size: 9.765202px; font-family: 'STIXSizeOneSym'; fill: #3a3a3a">[</tspan> + <tspan x="134.774403" y="-0.34375" style="font-size: 9.765202px; font-family: 'STIXSizeOneSym'; fill: #3a3a3a">]</tspan> + <tspan x="40.728091" y="1.209375" style="font-style: oblique; font-size: 7.7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">θ</tspan> + <tspan x="63.24676" y="-4.80625" style="font-style: oblique; font-size: 7.7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">β</tspan> + <tspan x="99.192733" y="1.209375" style="font-style: oblique; font-size: 7.7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">θ</tspan> + <tspan x="205.752673" y="1.209375" style="font-style: oblique; font-size: 7.7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">θ</tspan> + <tspan x="121.711402" y="-4.80625" style="font-size: 7.7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">0</tspan> + <tspan x="228.271342" y="-4.80625" style="font-size: 7.7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">0</tspan> + </text> + </g> + </g> + <g id="text_30"> + <!-- per layer: $\Delta\theta_l\ \propto\ \langle\ d_l\ ,\ \partial f_l(z_{l-1})/\partial\theta_l\ \rangle\ /\ \beta$ --> + <g style="fill: #3a3a3a" transform="translate(342.1 728.948315)"> + <text> + <tspan x="0" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">p</tspan> + <tspan x="6.347656" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">e</tspan> + <tspan x="12.5" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">r</tspan> + <tspan x="16.611328" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a"> </tspan> + <tspan x="19.790039" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">l</tspan> + <tspan x="22.568359" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">a</tspan> + <tspan x="28.696289" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">y</tspan> + <tspan x="34.614258" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">e</tspan> + <tspan x="40.766602" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">r</tspan> + <tspan x="44.87793" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">:</tspan> + <tspan x="48.24707" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a"> </tspan> + <tspan x="51.425781" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a"> </tspan> + <tspan x="54.604492" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">Δ</tspan> + <tspan x="74.977018" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">∝</tspan> + <tspan x="87.315853" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">⟨</tspan> + <tspan x="106.277214" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">,</tspan> + <tspan x="114.651205" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">∂</tspan> + <tspan x="125.560873" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">(</tspan> + <tspan x="149.975912" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">)</tspan> + <tspan x="153.877279" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">/</tspan> + <tspan x="157.24642" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">∂</tspan> + <tspan x="174.000782" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">⟩</tspan> + <tspan x="181.149187" y="-0.328125" style="font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">/</tspan> + <tspan x="61.445312" y="-0.328125" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">θ</tspan> + <tspan x="94.464258" y="-0.328125" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">d</tspan> + <tspan x="119.822103" y="-0.328125" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">f</tspan> + <tspan x="129.46224" y="-0.328125" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">z</tspan> + <tspan x="162.417318" y="-0.328125" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">θ</tspan> + <tspan x="187.765365" y="-0.328125" style="font-style: oblique; font-size: 10px; font-family: 'DejaVu Sans'; fill: #3a3a3a">β</tspan> + <tspan x="67.563477" y="1.3125" style="font-style: oblique; font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">l</tspan> + <tspan x="100.811914" y="1.3125" style="font-style: oblique; font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">l</tspan> + <tspan x="123.342611" y="1.3125" style="font-style: oblique; font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">l</tspan> + <tspan x="134.711263" y="1.3125" style="font-style: oblique; font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">l</tspan> + <tspan x="168.535482" y="1.3125" style="font-style: oblique; font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">l</tspan> + <tspan x="138.019857" y="1.3125" style="font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">−</tspan> + <tspan x="145.248861" y="1.3125" style="font-size: 7px; font-family: 'DejaVu Sans'; fill: #3a3a3a">1</tspan> + </text> + </g> + </g> + <g id="text_31"> + <text style="font-size: 8.6px; 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="439.2" y="755.218006" transform="rotate(-0 439.2 755.218006)">Each layer updates from its own boundary mismatch — no global backward graph, no global tape, no loss derivatives except the top nudge.</text> + </g> + </g> + </g> + <defs> + <clipPath id="p90a79555a2"> + <rect x="0" y="0" width="878.4" height="792"/> + </clipPath> + </defs> +</svg> |
