figure formatting issue resolved

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2025-07-21 17:59:18 -04:00
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@@ -55,7 +55,7 @@ Once published on arXiv:
1. **Quick Overview**: Read `executive_summary.md` (2 pages) 1. **Quick Overview**: Read `executive_summary.md` (2 pages)
2. **Technical Summary**: Read `two_page_summary.tex` (2 pages, compile to PDF) 2. **Technical Summary**: Read `two_page_summary.tex` (2 pages, compile to PDF)
3. **Full Paper**: Read `main.tex` (23 pages, compile to PDF) 3. **Full Paper**: Read `main.tex` (24 pages, compile to PDF)
4. **Try It Yourself**: Visit the [experiments repository](https://github.com/sqrtspace/sqrtspace-experiments) 4. **Try It Yourself**: Visit the [experiments repository](https://github.com/sqrtspace/sqrtspace-experiments)
## Contact ## Contact

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@@ -505,6 +505,13 @@ Chunked $\sqrt{n}$ & 54.10 $\pm$ 2.71s & 2.41 MB & 122 & 18.3× \\
The 18.3× slowdown aligns more closely with theoretical predictions than our simulated results, demonstrating that real models exhibit the expected space-time tradeoffs when processing is dominated by model inference rather than memory bandwidth. The 18.3× slowdown aligns more closely with theoretical predictions than our simulated results, demonstrating that real models exhibit the expected space-time tradeoffs when processing is dominated by model inference rather than memory bandwidth.
\begin{figure}[htbp]
\centering
\includegraphics[width=0.95\textwidth]{figures/ollama_spacetime_results.png}
\caption{Real LLM experiments with Ollama showing (a) 18.3× slowdown for √n context chunking and (b) minimal 7.6\% overhead for checkpointing. These results with production models validate the theoretical space-time tradeoffs.}
\label{fig:ollama_results}
\end{figure}
\begin{figure}[htbp] \begin{figure}[htbp]
\centering \centering
\includegraphics[width=0.95\textwidth]{figures/llm_attention_tradeoff.png} \includegraphics[width=0.95\textwidth]{figures/llm_attention_tradeoff.png}

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