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						|  | <title>Scaling Model Training with More Compute, How Do They Do It?</title> | 
					
						
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						|  | <div class="reveal"> | 
					
						
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						|  |  | 
					
						
						|  | <section id="title-slide" class="quarto-title-block center"> | 
					
						
						|  | <h1 class="title">Scaling Model Training with More Compute, How Do They Do It?</h1> | 
					
						
						|  |  | 
					
						
						|  | <div class="quarto-title-authors"> | 
					
						
						|  | </div> | 
					
						
						|  |  | 
					
						
						|  | </section> | 
					
						
						|  | <section id="who-am-i" class="slide level2"> | 
					
						
						|  | <h2>Who am I?</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Zachary Mueller</li> | 
					
						
						|  | <li>Technical Lead for the 🤗 Accelerate project</li> | 
					
						
						|  | <li>API design geek</li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="understanding-gpu-usage" class="slide level2"> | 
					
						
						|  | <h2>Understanding GPU Usage</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>We can somewhat estimate the memory usage in vanilla full-fine-tuning of models</li> | 
					
						
						|  | <li>Requires certain assumptions (that I’ll be covering): | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Adam optimizer</li> | 
					
						
						|  | <li>Batch size of 1</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="understanding-gpu-usage-1" class="slide level2"> | 
					
						
						|  | <h2>Understanding GPU Usage</h2> | 
					
						
						|  | <p>General estimate (<code>bert-base-cased</code>, 108M params):</p> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Each parameter is 4 bytes</li> | 
					
						
						|  | <li>Backward ~= 2x the model size</li> | 
					
						
						|  | <li>The optimizer step ~= 4x the model size (1x model, 1x gradients, 2x optimizer):</li> | 
					
						
						|  | </ul> | 
					
						
						|  | <div style="font-size: 50%;"> | 
					
						
						|  | <table> | 
					
						
						|  | <thead> | 
					
						
						|  | <tr class="header"> | 
					
						
						|  | <th>dtype</th> | 
					
						
						|  | <th style="text-align: left;">Model</th> | 
					
						
						|  | <th style="text-align: center;">Gradients</th> | 
					
						
						|  | <th style="text-align: center;">Backward pass</th> | 
					
						
						|  | <th style="text-align: center;">Optimizer step</th> | 
					
						
						|  | <th style="text-align: center;">Highest</th> | 
					
						
						|  | </tr> | 
					
						
						|  | </thead> | 
					
						
						|  | <tbody> | 
					
						
						|  | <tr class="odd"> | 
					
						
						|  | <td>float32</td> | 
					
						
						|  | <td style="text-align: left;">413.18 MB</td> | 
					
						
						|  | <td style="text-align: center;">413.18 MB</td> | 
					
						
						|  | <td style="text-align: center;">826.36 MB</td> | 
					
						
						|  | <td style="text-align: center;">1.61 GB</td> | 
					
						
						|  | <td style="text-align: center;">1.61 GB</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="even"> | 
					
						
						|  | <td>float16</td> | 
					
						
						|  | <td style="text-align: left;">413.18 MB*</td> | 
					
						
						|  | <td style="text-align: center;">619.77 MB</td> | 
					
						
						|  | <td style="text-align: center;">826.36 MB</td> | 
					
						
						|  | <td style="text-align: center;">826.36 MB</td> | 
					
						
						|  | <td style="text-align: center;">826.36 MB</td> | 
					
						
						|  | </tr> | 
					
						
						|  | </tbody> | 
					
						
						|  | </table> | 
					
						
						|  | <p>*All estimations were based off the <a href="https://huggingface.co/spaces/hf-accelerate/model-memory-usage">Model Estimator Tool</a></p> | 
					
						
						|  | </div> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="understanding-gpu-usage-2" class="slide level2"> | 
					
						
						|  | <h2>Understanding GPU Usage</h2> | 
					
						
						|  | <p>This works fine for small models, we have cards with anywhere from 12-24GB of GPU memory (on the GPU-poor side).</p> | 
					
						
						|  | <p>But what happens as we scale?</p> | 
					
						
						|  | <p>Here’s <code>llama-3-8B</code> (8.03B parameters)</p> | 
					
						
						|  | <div style="font-size: 50%;"> | 
					
						
						|  | <table> | 
					
						
						|  | <thead> | 
					
						
						|  | <tr class="header"> | 
					
						
						|  | <th>dtype</th> | 
					
						
						|  | <th style="text-align: left;">Model</th> | 
					
						
						|  | <th style="text-align: center;">Gradients</th> | 
					
						
						|  | <th style="text-align: center;">Backward pass</th> | 
					
						
						|  | <th style="text-align: center;">Optimizer step</th> | 
					
						
						|  | <th style="text-align: center;">Highest</th> | 
					
						
						|  | </tr> | 
					
						
						|  | </thead> | 
					
						
						|  | <tbody> | 
					
						
						|  | <tr class="odd"> | 
					
						
						|  | <td>float32</td> | 
					
						
						|  | <td style="text-align: left;">28.21 GB</td> | 
					
						
						|  | <td style="text-align: center;">28.21 GB</td> | 
					
						
						|  | <td style="text-align: center;">56.43 GB</td> | 
					
						
						|  | <td style="text-align: center;">112.84 GB</td> | 
					
						
						|  | <td style="text-align: center;">112.84 GB</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="even"> | 
					
						
						|  | <td>float16</td> | 
					
						
						|  | <td style="text-align: left;">28.21 GB*</td> | 
					
						
						|  | <td style="text-align: center;">42.32 GB</td> | 
					
						
						|  | <td style="text-align: center;">56.43 GB</td> | 
					
						
						|  | <td style="text-align: center;">56.43 GB</td> | 
					
						
						|  | <td style="text-align: center;">56.43 GB</td> | 
					
						
						|  | </tr> | 
					
						
						|  | </tbody> | 
					
						
						|  | </table> | 
					
						
						|  | </div> | 
					
						
						|  | <p>Well, <em>I</em> don’t have 56GB of GPU memory in a single card, let alone 112GB.</p> | 
					
						
						|  | <p>What can we do?</p> | 
					
						
						|  | </section> | 
					
						
						|  | <section> | 
					
						
						|  | <section id="distributed-training" class="title-slide slide level1 center"> | 
					
						
						|  | <h1>Distributed Training</h1> | 
					
						
						|  |  | 
					
						
						|  | </section> | 
					
						
						|  | <section id="kinds-of-training" class="slide level2"> | 
					
						
						|  | <h2>Kinds of Training</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Single GPU: | 
					
						
						|  | <ul> | 
					
						
						|  | <li>No distributed techniques at play</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | <li>Distributed Data Parallelism (DDP): | 
					
						
						|  | <ul> | 
					
						
						|  | <li>A full copy of the model exists on each device, but data is chunked between each GPU</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | <li>Fully Sharded Data Parallelism (FSDP) & DeepSpeed (DS): | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Split chunks of the model and optimizer states across GPUs, allowing for training bigger models on smaller (multiple) GPUs</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section></section> | 
					
						
						|  | <section> | 
					
						
						|  | <section id="fully-sharded-data-parallelism" class="title-slide slide level1 center"> | 
					
						
						|  | <h1>Fully Sharded Data Parallelism</h1> | 
					
						
						|  |  | 
					
						
						|  | </section> | 
					
						
						|  | <section id="fully-sharded-data-parallelism-1" class="slide level2"> | 
					
						
						|  | <h2>Fully Sharded Data Parallelism</h2> | 
					
						
						|  |  | 
					
						
						|  | <img data-src="fsdp.png" id="fig-539a35d47e664c97a50115a146a7f1bd-1" class="r-stretch quarto-figure-center"><aside class="notes"> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Take the model and split it across <code>n</code> GPUs</li> | 
					
						
						|  | <li>Each GPU computes the shard’s gradients</li> | 
					
						
						|  | <li>At the end, all gradients are synchronized and the final full model gradient is calculated</li> | 
					
						
						|  | <li>The backward pass can then be performed</li> | 
					
						
						|  | </ul> | 
					
						
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						|  | </section> | 
					
						
						|  | <section id="fsdp-getting-parameter-specific" class="slide level2"> | 
					
						
						|  | <h2>FSDP: Getting parameter specific</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Different parameters can dicatate how much memory is needed for total GPU training across multiple GPUs</li> | 
					
						
						|  | <li>These include how model weights are sharded, gradients, and more.</li> | 
					
						
						|  | <li>I’ll cover some important ones I needed when doing a Full-Fine-Tune of Llama-3-8B <em>without PEFT</em> on 2x4090’s</li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="sharding_strategy" class="slide level2"> | 
					
						
						|  | <h2><code>sharding_strategy</code></h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Dictates the level of divving resources to perform | 
					
						
						|  | <ul> | 
					
						
						|  | <li><code>FULL_SHARD</code>: Includes optimizer states, gradients, and parameters</li> | 
					
						
						|  | <li><code>SHARD_GRAD_OP</code>: Includes optimizer states and gradients</li> | 
					
						
						|  | <li><code>NO_SHARD</code>: Normal DDP</li> | 
					
						
						|  | <li><code>HYBRID_SHARD</code>: Includes optimizer states, gradients, and parameters but each node has the full model</li> | 
					
						
						|  | </ul> | 
					
						
						|  | <aside class="notes"> | 
					
						
						|  | <pre><code>FULL_SHARD: | 
					
						
						|  | Parameters, Gradients, Optimizer States: All are sharded. | 
					
						
						|  | Parameters Handling: Unshard before forward pass, reshard after forward pass, unshard before backward pass, reshard after backward pass. | 
					
						
						|  | Gradients Handling: Synchronize and shard after backward pass. | 
					
						
						|  | Optimizer States: Updated locally per rank.</code></pre> | 
					
						
						|  | <p>SHARD_GRAD_OP: Gradients and Optimizer States: Sharded during computation. Parameters: Unshard before forward pass, remain unsharded during forward pass, reshard after backward pass. Inside no_sync(): Parameters are not resharded after backward computation. Optimizer States: Updated locally per rank.</p> | 
					
						
						|  | <p>NO_SHARD: Parameters, Gradients, Optimizer States: Not sharded, replicated across ranks. Gradients Handling: Synchronized via all-reduce after backward pass. Optimizer States: Updated locally per rank.</p> | 
					
						
						|  | <p>HYBRID_SHARD: Parameters, Gradients, Optimizer States: Combines FULL_SHARD within a node and replicates parameters across nodes. Communication: Expensive operations like all-gathers and reduce-scatters are limited to within a node, enhancing performance for medium-sized models.</p> | 
					
						
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						|  | }</style></aside></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="auto_wrap_policy" class="slide level2"> | 
					
						
						|  | <h2><code>auto_wrap_policy</code>:</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>How the model should be split</li> | 
					
						
						|  | <li>Can be either <code>TRANSFORMER_BASED_WRAP</code> or <code>SIZE_BASED_WRAP</code></li> | 
					
						
						|  | <li><code>TRANSFORMER</code>/<code>fsdp_transformers_layer_cls_to_wrap</code>: | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Need to declare the layer</li> | 
					
						
						|  | <li>Generally <code>transformers</code> has good defaults</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | <li><code>SIZE</code>/<code>fsdp_min_num_param</code>: | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Number of total parameters in a shard</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="offload_params" class="slide level2"> | 
					
						
						|  | <h2><code>offload_params</code>:</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Offloads the parameters and gradients to the CPU if they can’t fit into memory</li> | 
					
						
						|  | <li>Allows you to train much larger models locally, but will be much slower</li> | 
					
						
						|  | </ul> | 
					
						
						|  | <blockquote> | 
					
						
						|  | <p>Case: FFT of Llama-3-8B with <code>fsdp_offload_params</code> on 2x4090 GPUs was 72hrs, vs ~an hour or two when using 1xH100</p> | 
					
						
						|  | </blockquote> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="cpu_ram_efficient_loading-and-sync_module_states" class="slide level2"> | 
					
						
						|  | <h2><code>cpu_ram_efficient_loading</code> and <code>sync_module_states</code></h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Uses the idea behind big model inference/the <code>meta</code> device to load in the model to the GPU in a low-ram scenario</li> | 
					
						
						|  | <li>Rather than needing <code>model_size</code> * <code>n_gpus</code> RAM, we can load the model on a single node and then send the weights directly to each shard when the time is right via <code>sync_module_states</code></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section></section> | 
					
						
						|  | <section> | 
					
						
						|  | <section id="tying-this-to-accelerate" class="title-slide slide level1 center"> | 
					
						
						|  | <h1>Tying this to 🤗 Accelerate</h1> | 
					
						
						|  |  | 
					
						
						|  | </section> | 
					
						
						|  | <section id="tying-this-to-accelerate-1" class="slide level2"> | 
					
						
						|  | <h2>Tying this to 🤗 Accelerate</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>So far we’ve covered the theory, but how do we put it into practice</li> | 
					
						
						|  | <li>By using a library that’s at the heart of the entire open-source ecosystem</li> | 
					
						
						|  | </ul> | 
					
						
						|  | <div style="font-size: 60%;padding-left:10%;padding-top:0%;"> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Nearly all of 🤗</li> | 
					
						
						|  | <li><code>axolotl</code></li> | 
					
						
						|  | <li><code>fastai</code></li> | 
					
						
						|  | <li><code>FastChat</code></li> | 
					
						
						|  | <li><code>lucidrains</code></li> | 
					
						
						|  | <li><code>kornia</code></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </div> | 
					
						
						|  | <p>Are you using it and you don’t even know?</p> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="what-is-accelerate" class="slide level2"> | 
					
						
						|  | <h2>What is 🤗 Accelerate?</h2> | 
					
						
						|  | <div class="cell" data-reveal="true" data-fig-height="6"> | 
					
						
						|  | <div class="cell-output-display"> | 
					
						
						|  | <div> | 
					
						
						|  | <div> | 
					
						
						|  | <pre class="mermaid mermaid-js">graph LR | 
					
						
						|  | A(("🤗 Accelerate#32;")) | 
					
						
						|  | A --> B["CLI Interface#32;"] | 
					
						
						|  | A --> C["Training Library#32;"] | 
					
						
						|  | A --> D["Big Model<br>Inference#32;"] | 
					
						
						|  | </pre> | 
					
						
						|  | </div> | 
					
						
						|  | </div> | 
					
						
						|  | </div> | 
					
						
						|  | </div> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="a-cli-interface" class="slide level2"> | 
					
						
						|  | <h2>A CLI Interface</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li><code>accelerate config</code> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Configure the environment</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | <li><code>accelerate estimate-memory</code> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>How to guess vRAM requirements</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | <li><code>accelerate launch</code> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>How to run your script</li> | 
					
						
						|  | </ul></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="launching-distributed-training-is-hard" class="slide level2"> | 
					
						
						|  | <h2>Launching distributed training is hard</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li><div class="sourceCode" id="cb2"><pre class="sourceCode numberSource bash number-lines code-with-copy"><code class="sourceCode bash"><span id="cb2-1"><a href="#cb2-1"></a><span class="ex">python</span> script.py</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div></li> | 
					
						
						|  | <li><div class="sourceCode" id="cb3"><pre class="sourceCode numberSource bash number-lines code-with-copy"><code class="sourceCode bash"><span id="cb3-1"><a href="#cb3-1"></a><span class="ex">torchrun</span> <span class="at">--nnodes</span><span class="op">=</span>1 <span class="at">--nproc_per_node</span><span class="op">=</span>2 script.py</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div></li> | 
					
						
						|  | <li><div class="sourceCode" id="cb4"><pre class="sourceCode numberSource bash number-lines code-with-copy"><code class="sourceCode bash"><span id="cb4-1"><a href="#cb4-1"></a><span class="ex">deepspeed</span> <span class="at">--num_gpus</span><span class="op">=</span>2 script.py</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div></li> | 
					
						
						|  | </ul> | 
					
						
						|  | <p>How can we make this better?</p> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="accelerate-launch" class="slide level2"> | 
					
						
						|  | <h2><code>accelerate launch</code></h2> | 
					
						
						|  | <div class="sourceCode" id="cb5"><pre class="sourceCode numberSource bash number-lines code-with-copy"><code class="sourceCode bash"><span id="cb5-1"><a href="#cb5-1"></a><span class="ex">accelerate</span> launch script.py</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="accelerate-config" class="slide level2"> | 
					
						
						|  | <h2><code>accelerate config</code></h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Rely on <code>config.yaml</code> files</li> | 
					
						
						|  | <li>Choose to either running <code>accelerate config</code> or write your own:</li> | 
					
						
						|  | </ul> | 
					
						
						|  | <div class="columns" style="font-size: 50%;padding-left:10%;"> | 
					
						
						|  | <div class="column" style="width:40%;"> | 
					
						
						|  | <div class="code-with-filename"> | 
					
						
						|  | <div class="code-with-filename-file"> | 
					
						
						|  | <pre><strong>ddp_config.yaml</strong></pre> | 
					
						
						|  | </div> | 
					
						
						|  | <div class="sourceCode" id="cb6" data-filename="ddp_config.yaml"><pre class="sourceCode numberSource yaml number-lines code-with-copy"><code class="sourceCode yaml"><span id="cb6-1"><a href="#cb6-1"></a><span class="fu">compute_environment</span><span class="kw">:</span><span class="at"> LOCAL_MACHINE</span></span> | 
					
						
						|  | <span id="cb6-2"><a href="#cb6-2"></a><span class="fu">distributed_type</span><span class="kw">:</span><span class="at"> MULTI_GPU</span></span> | 
					
						
						|  | <span id="cb6-3"><a href="#cb6-3"></a><span class="fu">main_training_function</span><span class="kw">:</span><span class="at"> main</span></span> | 
					
						
						|  | <span id="cb6-4"><a href="#cb6-4"></a><span class="fu">mixed_precision</span><span class="kw">:</span><span class="at"> bf16</span></span> | 
					
						
						|  | <span id="cb6-5"><a href="#cb6-5"></a><span class="fu">num_machines</span><span class="kw">:</span><span class="at"> </span><span class="dv">1</span></span> | 
					
						
						|  | <span id="cb6-6"><a href="#cb6-6"></a><span class="fu">num_processes</span><span class="kw">:</span><span class="at"> </span><span class="dv">8</span></span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div> | 
					
						
						|  | </div> | 
					
						
						|  | </div><div class="column" style="width:40%;"> | 
					
						
						|  | <div class="code-with-filename"> | 
					
						
						|  | <div class="code-with-filename-file"> | 
					
						
						|  | <pre><strong>fsdp_config.yaml</strong></pre> | 
					
						
						|  | </div> | 
					
						
						|  | <div class="sourceCode" id="cb7" data-filename="fsdp_config.yaml"><pre class="sourceCode numberSource yaml number-lines code-with-copy"><code class="sourceCode yaml"><span id="cb7-1"><a href="#cb7-1"></a><span class="fu">compute_environment</span><span class="kw">:</span><span class="at"> LOCAL_MACHINE</span></span> | 
					
						
						|  | <span id="cb7-2"><a href="#cb7-2"></a><span class="fu">distributed_type</span><span class="kw">:</span><span class="at"> FSDP</span></span> | 
					
						
						|  | <span id="cb7-3"><a href="#cb7-3"></a><span class="fu">fsdp_config</span><span class="kw">:</span></span> | 
					
						
						|  | <span id="cb7-4"><a href="#cb7-4"></a><span class="at">  </span><span class="fu">fsdp_auto_wrap_policy</span><span class="kw">:</span><span class="at"> TRANSFORMER_BASED_WRAP</span></span> | 
					
						
						|  | <span id="cb7-5"><a href="#cb7-5"></a><span class="at">  </span><span class="fu">fsdp_backward_prefetch</span><span class="kw">:</span><span class="at"> BACKWARD_PRE</span></span> | 
					
						
						|  | <span id="cb7-6"><a href="#cb7-6"></a><span class="at">  </span><span class="fu">fsdp_cpu_ram_efficient_loading</span><span class="kw">:</span><span class="at"> </span><span class="ch">true</span></span> | 
					
						
						|  | <span id="cb7-7"><a href="#cb7-7"></a><span class="at">  </span><span class="fu">fsdp_forward_prefetch</span><span class="kw">:</span><span class="at"> </span><span class="ch">false</span></span> | 
					
						
						|  | <span id="cb7-8"><a href="#cb7-8"></a><span class="at">  </span><span class="fu">fsdp_offload_params</span><span class="kw">:</span><span class="at"> </span><span class="ch">false</span></span> | 
					
						
						|  | <span id="cb7-9"><a href="#cb7-9"></a><span class="at">  </span><span class="fu">fsdp_sharding_strategy</span><span class="kw">:</span><span class="at"> FULL_SHARD</span></span> | 
					
						
						|  | <span id="cb7-10"><a href="#cb7-10"></a><span class="at">  </span><span class="fu">fsdp_state_dict_type</span><span class="kw">:</span><span class="at"> SHARDED_STATE_DICT</span></span> | 
					
						
						|  | <span id="cb7-11"><a href="#cb7-11"></a><span class="at">  </span><span class="fu">fsdp_sync_module_states</span><span class="kw">:</span><span class="at"> </span><span class="ch">true</span></span> | 
					
						
						|  | <span id="cb7-12"><a href="#cb7-12"></a><span class="at">  </span><span class="fu">fsdp_use_orig_params</span><span class="kw">:</span><span class="at"> </span><span class="ch">false</span></span> | 
					
						
						|  | <span id="cb7-13"><a href="#cb7-13"></a><span class="fu">main_training_function</span><span class="kw">:</span><span class="at"> main</span></span> | 
					
						
						|  | <span id="cb7-14"><a href="#cb7-14"></a><span class="fu">mixed_precision</span><span class="kw">:</span><span class="at"> bf16</span></span> | 
					
						
						|  | <span id="cb7-15"><a href="#cb7-15"></a><span class="fu">num_machines</span><span class="kw">:</span><span class="at"> </span><span class="dv">1</span></span> | 
					
						
						|  | <span id="cb7-16"><a href="#cb7-16"></a><span class="fu">num_processes</span><span class="kw">:</span><span class="at"> </span><span class="dv">8</span></span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div> | 
					
						
						|  | </div> | 
					
						
						|  | </div> | 
					
						
						|  | </div> | 
					
						
						|  | </section></section> | 
					
						
						|  | <section> | 
					
						
						|  | <section id="a-training-library" class="title-slide slide level1 center"> | 
					
						
						|  | <h1>A Training Library</h1> | 
					
						
						|  |  | 
					
						
						|  | </section> | 
					
						
						|  | <section id="a-training-library-the-code" class="slide level2"> | 
					
						
						|  | <h2>A Training Library: The Code</h2> | 
					
						
						|  | <div class="columns" style="font-size: 50%;"> | 
					
						
						|  | <div class="column"> | 
					
						
						|  | <p><br><br><br></p> | 
					
						
						|  | <div class="sourceCode" id="cb8" data-code-line-numbers="5-6,9"><pre class="sourceCode numberSource python number-lines code-with-copy"><code class="sourceCode python"><span id="cb8-1"><a href="#cb8-1"></a><span class="co"># For alignment purposes</span></span> | 
					
						
						|  | <span id="cb8-2"><a href="#cb8-2"></a><span class="cf">for</span> batch <span class="kw">in</span> dataloader:</span> | 
					
						
						|  | <span id="cb8-3"><a href="#cb8-3"></a>    optimizer.zero_grad()</span> | 
					
						
						|  | <span id="cb8-4"><a href="#cb8-4"></a>    inputs, targets <span class="op">=</span> batch</span> | 
					
						
						|  | <span id="cb8-5"><a href="#cb8-5"></a>    inputs <span class="op">=</span> inputs.to(device)</span> | 
					
						
						|  | <span id="cb8-6"><a href="#cb8-6"></a>    targets <span class="op">=</span> targets.to(device)</span> | 
					
						
						|  | <span id="cb8-7"><a href="#cb8-7"></a>    outputs <span class="op">=</span> model(inputs)</span> | 
					
						
						|  | <span id="cb8-8"><a href="#cb8-8"></a>    loss <span class="op">=</span> loss_function(outputs, targets)</span> | 
					
						
						|  | <span id="cb8-9"><a href="#cb8-9"></a>    loss.backward()</span> | 
					
						
						|  | <span id="cb8-10"><a href="#cb8-10"></a>    optimizer.step()</span> | 
					
						
						|  | <span id="cb8-11"><a href="#cb8-11"></a>    scheduler.step()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div> | 
					
						
						|  | </div><div class="column"> | 
					
						
						|  | <div class="sourceCode" id="cb9" data-code-line-numbers="1-7,12-13,16"><pre class="sourceCode numberSource python number-lines code-with-copy"><code class="sourceCode python"><span id="cb9-1"><a href="#cb9-1"></a><span class="im">from</span> accelerate <span class="im">import</span> Accelerator</span> | 
					
						
						|  | <span id="cb9-2"><a href="#cb9-2"></a>accelerator <span class="op">=</span> Accelerator()</span> | 
					
						
						|  | <span id="cb9-3"><a href="#cb9-3"></a>dataloader, model, optimizer scheduler <span class="op">=</span> (</span> | 
					
						
						|  | <span id="cb9-4"><a href="#cb9-4"></a>    accelerator.prepare(</span> | 
					
						
						|  | <span id="cb9-5"><a href="#cb9-5"></a>        dataloader, model, optimizer, scheduler</span> | 
					
						
						|  | <span id="cb9-6"><a href="#cb9-6"></a>    )</span> | 
					
						
						|  | <span id="cb9-7"><a href="#cb9-7"></a>)</span> | 
					
						
						|  | <span id="cb9-8"><a href="#cb9-8"></a></span> | 
					
						
						|  | <span id="cb9-9"><a href="#cb9-9"></a><span class="cf">for</span> batch <span class="kw">in</span> dataloader:</span> | 
					
						
						|  | <span id="cb9-10"><a href="#cb9-10"></a>    optimizer.zero_grad()</span> | 
					
						
						|  | <span id="cb9-11"><a href="#cb9-11"></a>    inputs, targets <span class="op">=</span> batch</span> | 
					
						
						|  | <span id="cb9-12"><a href="#cb9-12"></a>    <span class="co"># inputs = inputs.to(device)</span></span> | 
					
						
						|  | <span id="cb9-13"><a href="#cb9-13"></a>    <span class="co"># targets = targets.to(device)</span></span> | 
					
						
						|  | <span id="cb9-14"><a href="#cb9-14"></a>    outputs <span class="op">=</span> model(inputs)</span> | 
					
						
						|  | <span id="cb9-15"><a href="#cb9-15"></a>    loss <span class="op">=</span> loss_function(outputs, targets)</span> | 
					
						
						|  | <span id="cb9-16"><a href="#cb9-16"></a>    accelerator.backward(loss) <span class="co"># loss.backward()</span></span> | 
					
						
						|  | <span id="cb9-17"><a href="#cb9-17"></a>    optimizer.step()</span> | 
					
						
						|  | <span id="cb9-18"><a href="#cb9-18"></a>    scheduler.step()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div> | 
					
						
						|  | </div> | 
					
						
						|  | </div> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="a-training-library-how-scaling-works" class="slide level2"> | 
					
						
						|  | <h2>A Training Library: How Scaling Works</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Accelerate’s DataLoaders and schedulers work off of a sharding mindset</li> | 
					
						
						|  | <li>Rather than repeating the same data across <code>n</code> nodes, we instead split it</li> | 
					
						
						|  | <li>Speeds up training linearly</li> | 
					
						
						|  | <li>Given a batch size of 16 on a single GPU, to recreate this across 8 GPUs you would use a batch size of 2</li> | 
					
						
						|  | <li>This also means the scheduler will be stepped <code>n</code> GPUs at a time per “global step”</li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="a-training-library-mixed-precision" class="slide level2"> | 
					
						
						|  | <h2>A Training Library: Mixed Precision</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>This may be a bit different than your “normal” idea of mixed precision.</li> | 
					
						
						|  | <li>We do <strong>not</strong> convert the model weights to BF16/FP16</li> | 
					
						
						|  | <li>Instead we <strong>wrap the forward pass</strong> with <code>autocast</code> to convert the gradients automatically</li> | 
					
						
						|  | <li>This preserves the original precision of the weights, which leads to stable training and better fine-tuning later on.</li> | 
					
						
						|  | <li><strong>If you use <code>.bf16()</code> weights, you are STUCK in bf16 perminantly</strong></li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="a-training-library-mixed-precision-1" class="slide level2"> | 
					
						
						|  | <h2>A Training Library: Mixed Precision</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Let’s tie that back up to the model estimator with neat tools like NVIDIA’s TransformerEngine</li> | 
					
						
						|  | </ul> | 
					
						
						|  | <div style="font-size: 60%;"> | 
					
						
						|  | <table style="width:100%;"> | 
					
						
						|  | <colgroup> | 
					
						
						|  | <col style="width: 14%"> | 
					
						
						|  | <col style="width: 14%"> | 
					
						
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						|  | <col style="width: 14%"> | 
					
						
						|  | </colgroup> | 
					
						
						|  | <thead> | 
					
						
						|  | <tr class="header"> | 
					
						
						|  | <th>Optimization Level</th> | 
					
						
						|  | <th>Computation (GEMM)</th> | 
					
						
						|  | <th>Comm</th> | 
					
						
						|  | <th>Weight</th> | 
					
						
						|  | <th>Master Weight</th> | 
					
						
						|  | <th>Weight Gradient</th> | 
					
						
						|  | <th>Optimizer States</th> | 
					
						
						|  | </tr> | 
					
						
						|  | </thead> | 
					
						
						|  | <tbody> | 
					
						
						|  | <tr class="odd"> | 
					
						
						|  | <td>FP16 AMP</td> | 
					
						
						|  | <td>FP16</td> | 
					
						
						|  | <td>FP32</td> | 
					
						
						|  | <td>FP32</td> | 
					
						
						|  | <td>N/A</td> | 
					
						
						|  | <td>FP32</td> | 
					
						
						|  | <td>FP32+FP32</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="even"> | 
					
						
						|  | <td>Nvidia TE</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP32</td> | 
					
						
						|  | <td>FP32</td> | 
					
						
						|  | <td>N/A</td> | 
					
						
						|  | <td>FP32</td> | 
					
						
						|  | <td>FP32+FP32</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="odd"> | 
					
						
						|  | <td>MS-AMP O1</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP16</td> | 
					
						
						|  | <td>N/A</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP32+FP32</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="even"> | 
					
						
						|  | <td>MS-AMP O2</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP16</td> | 
					
						
						|  | <td>N/A</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP8+FP16</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="odd"> | 
					
						
						|  | <td>MS-AMP O3</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP16</td> | 
					
						
						|  | <td>FP8</td> | 
					
						
						|  | <td>FP8+FP16</td> | 
					
						
						|  | </tr> | 
					
						
						|  | </tbody> | 
					
						
						|  | </table> | 
					
						
						|  | </div> | 
					
						
						|  | <aside class="notes"> | 
					
						
						|  | <p>What is actually happening: * Linear Layers and other certain compatible layers are wrapped in a special version that allows for FP8 computation * The general forward pass is wrapped around BF16 * This means that the most memory saved is done during the gradients of the model, <em>not</em> the model itself. * With tools like <code>MS-AMP</code> we can convert more chunks into lower precision, but again like before stable training occurs when the models weights are in full precision and the backprop happens in full precision too.</p> | 
					
						
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						|  | </section> | 
					
						
						|  | <section id="deepspeed-vs-fully-sharded-data-parallelism" class="slide level2"> | 
					
						
						|  | <h2>DeepSpeed vs Fully Sharded Data Parallelism</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>Extremely similar, however mostly used different naming conventions for items and slight tweaks in the implementation</li> | 
					
						
						|  | </ul> | 
					
						
						|  | <div style="font-size: 50%;"> | 
					
						
						|  | <table style="width:100%;"> | 
					
						
						|  | <colgroup> | 
					
						
						|  | <col style="width: 16%"> | 
					
						
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						|  | </colgroup> | 
					
						
						|  | <thead> | 
					
						
						|  | <tr class="header"> | 
					
						
						|  | <th>Framework</th> | 
					
						
						|  | <th>Model Loading (<code>torch_dtype</code>)</th> | 
					
						
						|  | <th>Mixed Precision</th> | 
					
						
						|  | <th>Preparation (Local)</th> | 
					
						
						|  | <th>Training</th> | 
					
						
						|  | <th>Optimizer (Local)</th> | 
					
						
						|  | </tr> | 
					
						
						|  | </thead> | 
					
						
						|  | <tbody> | 
					
						
						|  | <tr class="odd"> | 
					
						
						|  | <td>FSDP</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>default (none)</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="even"> | 
					
						
						|  | <td>FSDP</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>fp32</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>fp32</td> | 
					
						
						|  | </tr> | 
					
						
						|  | <tr class="odd"> | 
					
						
						|  | <td>DeepSpeed</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>fp32</td> | 
					
						
						|  | <td>bf16</td> | 
					
						
						|  | <td>fp32</td> | 
					
						
						|  | </tr> | 
					
						
						|  | </tbody> | 
					
						
						|  | </table> | 
					
						
						|  | </div> | 
					
						
						|  | <p>To learn more, check out the <a href="https://huggingface.co/docs/accelerate/concept_guides/fsdp_and_deepspeed">documentation</a> or join my office hours</p> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="key-takeaways" class="slide level2"> | 
					
						
						|  | <h2>Key Takeaways:</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li>You can scale out training with <code>accelerate</code>, FSDP, and DeepSpeed across multiple GPUs to train bigger models</li> | 
					
						
						|  | <li>Techniques like <code>FP8</code> can help speed up training some and reduce computational overhead</li> | 
					
						
						|  | <li>Comes at a cost of end-precision and locking model weights for futher fine-tunes if not careful</li> | 
					
						
						|  | </ul> | 
					
						
						|  | </section> | 
					
						
						|  | <section id="some-handy-resources" class="slide level2"> | 
					
						
						|  | <h2>Some Handy Resources</h2> | 
					
						
						|  | <ul> | 
					
						
						|  | <li><a href="https://hf.co/docs/accelerate">🤗 Accelerate documentation</a></li> | 
					
						
						|  | <li><a href="https://huggingface.co/docs/accelerate/basic_tutorials/launch">Launching distributed code</a></li> | 
					
						
						|  | <li><a href="https://huggingface.co/docs/accelerate/basic_tutorials/notebook">Distributed code and Jupyter Notebooks</a></li> | 
					
						
						|  | <li><a href="https://huggingface.co/docs/accelerate/basic_tutorials/migration">Migrating to 🤗 Accelerate easily</a></li> | 
					
						
						|  | <li><a href="https://huggingface.co/docs/accelerate/usage_guides/big_modeling">Big Model Inference tutorial</a></li> | 
					
						
						|  | <li><a href="https://huggingface.co/docs/accelerate/usage_guides/deepspeed">DeepSpeed and 🤗 Accelerate</a></li> | 
					
						
						|  | <li><a href="https://huggingface.co/docs/accelerate/usage_guides/fsdp">Fully Sharded Data Parallelism and 🤗 Accelerate</a></li> | 
					
						
						|  | <li><a href="https://huggingface.co/docs/accelerate/concept_guides/fsdp_and_deepspeed">FSDP vs DeepSpeed In-Depth</a></li> | 
					
						
						|  | </ul> | 
					
						
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						|  | }, | 
					
						
						|  | }, | 
					
						
						|  |  | 
					
						
						|  |  | 
					
						
						|  | plugins: [QuartoLineHighlight, PdfExport, RevealMenu, QuartoSupport, | 
					
						
						|  |  | 
					
						
						|  | RevealMath, | 
					
						
						|  | RevealNotes, | 
					
						
						|  | RevealSearch, | 
					
						
						|  | RevealZoom | 
					
						
						|  | ] | 
					
						
						|  | }); | 
					
						
						|  | </script> | 
					
						
						|  | <script id="quarto-html-after-body" type="application/javascript"> | 
					
						
						|  | window.document.addEventListener("DOMContentLoaded", function (event) { | 
					
						
						|  | const toggleBodyColorMode = (bsSheetEl) => { | 
					
						
						|  | const mode = bsSheetEl.getAttribute("data-mode"); | 
					
						
						|  | const bodyEl = window.document.querySelector("body"); | 
					
						
						|  | if (mode === "dark") { | 
					
						
						|  | bodyEl.classList.add("quarto-dark"); | 
					
						
						|  | bodyEl.classList.remove("quarto-light"); | 
					
						
						|  | } else { | 
					
						
						|  | bodyEl.classList.add("quarto-light"); | 
					
						
						|  | bodyEl.classList.remove("quarto-dark"); | 
					
						
						|  | } | 
					
						
						|  | } | 
					
						
						|  | const toggleBodyColorPrimary = () => { | 
					
						
						|  | const bsSheetEl = window.document.querySelector("link#quarto-bootstrap"); | 
					
						
						|  | if (bsSheetEl) { | 
					
						
						|  | toggleBodyColorMode(bsSheetEl); | 
					
						
						|  | } | 
					
						
						|  | } | 
					
						
						|  | toggleBodyColorPrimary(); | 
					
						
						|  | const tabsets =  window.document.querySelectorAll(".panel-tabset-tabby") | 
					
						
						|  | tabsets.forEach(function(tabset) { | 
					
						
						|  | const tabby = new Tabby('#' + tabset.id); | 
					
						
						|  | }); | 
					
						
						|  | const isCodeAnnotation = (el) => { | 
					
						
						|  | for (const clz of el.classList) { | 
					
						
						|  | if (clz.startsWith('code-annotation-')) { | 
					
						
						|  | return true; | 
					
						
						|  | } | 
					
						
						|  | } | 
					
						
						|  | return false; | 
					
						
						|  | } | 
					
						
						|  | const clipboard = new window.ClipboardJS('.code-copy-button', { | 
					
						
						|  | text: function(trigger) { | 
					
						
						|  | const codeEl = trigger.previousElementSibling.cloneNode(true); | 
					
						
						|  | for (const childEl of codeEl.children) { | 
					
						
						|  | if (isCodeAnnotation(childEl)) { | 
					
						
						|  | childEl.remove(); | 
					
						
						|  | } | 
					
						
						|  | } | 
					
						
						|  | return codeEl.innerText; | 
					
						
						|  | } | 
					
						
						|  | }); | 
					
						
						|  | clipboard.on('success', function(e) { | 
					
						
						|  |  | 
					
						
						|  | const button = e.trigger; | 
					
						
						|  |  | 
					
						
						|  | button.blur(); | 
					
						
						|  |  | 
					
						
						|  | button.classList.add('code-copy-button-checked'); | 
					
						
						|  | var currentTitle = button.getAttribute("title"); | 
					
						
						|  | button.setAttribute("title", "Copied!"); | 
					
						
						|  | let tooltip; | 
					
						
						|  | if (window.bootstrap) { | 
					
						
						|  | button.setAttribute("data-bs-toggle", "tooltip"); | 
					
						
						|  | button.setAttribute("data-bs-placement", "left"); | 
					
						
						|  | button.setAttribute("data-bs-title", "Copied!"); | 
					
						
						|  | tooltip = new bootstrap.Tooltip(button, | 
					
						
						|  | { trigger: "manual", | 
					
						
						|  | customClass: "code-copy-button-tooltip", | 
					
						
						|  | offset: [0, -8]}); | 
					
						
						|  | tooltip.show(); | 
					
						
						|  | } | 
					
						
						|  | setTimeout(function() { | 
					
						
						|  | if (tooltip) { | 
					
						
						|  | tooltip.hide(); | 
					
						
						|  | button.removeAttribute("data-bs-title"); | 
					
						
						|  | button.removeAttribute("data-bs-toggle"); | 
					
						
						|  | button.removeAttribute("data-bs-placement"); | 
					
						
						|  | } | 
					
						
						|  | button.setAttribute("title", currentTitle); | 
					
						
						|  | button.classList.remove('code-copy-button-checked'); | 
					
						
						|  | }, 1000); | 
					
						
						|  |  | 
					
						
						|  | e.clearSelection(); | 
					
						
						|  | }); | 
					
						
						|  | function tippyHover(el, contentFn, onTriggerFn, onUntriggerFn) { | 
					
						
						|  | const config = { | 
					
						
						|  | allowHTML: true, | 
					
						
						|  | maxWidth: 500, | 
					
						
						|  | delay: 100, | 
					
						
						|  | arrow: false, | 
					
						
						|  | appendTo: function(el) { | 
					
						
						|  | return el.closest('section.slide') || el.parentElement; | 
					
						
						|  | }, | 
					
						
						|  | interactive: true, | 
					
						
						|  | interactiveBorder: 10, | 
					
						
						|  | theme: 'light-border', | 
					
						
						|  | placement: 'bottom-start', | 
					
						
						|  | }; | 
					
						
						|  | if (contentFn) { | 
					
						
						|  | config.content = contentFn; | 
					
						
						|  | } | 
					
						
						|  | if (onTriggerFn) { | 
					
						
						|  | config.onTrigger = onTriggerFn; | 
					
						
						|  | } | 
					
						
						|  | if (onUntriggerFn) { | 
					
						
						|  | config.onUntrigger = onUntriggerFn; | 
					
						
						|  | } | 
					
						
						|  | config['offset'] = [0,0]; | 
					
						
						|  | config['maxWidth'] = 700; | 
					
						
						|  | window.tippy(el, config); | 
					
						
						|  | } | 
					
						
						|  | const noterefs = window.document.querySelectorAll('a[role="doc-noteref"]'); | 
					
						
						|  | for (var i=0; i<noterefs.length; i++) { | 
					
						
						|  | const ref = noterefs[i]; | 
					
						
						|  | tippyHover(ref, function() { | 
					
						
						|  |  | 
					
						
						|  | let href = ref.getAttribute('data-footnote-href') || ref.getAttribute('href'); | 
					
						
						|  | try { href = new URL(href).hash; } catch {} | 
					
						
						|  | const id = href.replace(/^#\/?/, ""); | 
					
						
						|  | const note = window.document.getElementById(id); | 
					
						
						|  | return note.innerHTML; | 
					
						
						|  | }); | 
					
						
						|  | } | 
					
						
						|  | const findCites = (el) => { | 
					
						
						|  | const parentEl = el.parentElement; | 
					
						
						|  | if (parentEl) { | 
					
						
						|  | const cites = parentEl.dataset.cites; | 
					
						
						|  | if (cites) { | 
					
						
						|  | return { | 
					
						
						|  | el, | 
					
						
						|  | cites: cites.split(' ') | 
					
						
						|  | }; | 
					
						
						|  | } else { | 
					
						
						|  | return findCites(el.parentElement) | 
					
						
						|  | } | 
					
						
						|  | } else { | 
					
						
						|  | return undefined; | 
					
						
						|  | } | 
					
						
						|  | }; | 
					
						
						|  | var bibliorefs = window.document.querySelectorAll('a[role="doc-biblioref"]'); | 
					
						
						|  | for (var i=0; i<bibliorefs.length; i++) { | 
					
						
						|  | const ref = bibliorefs[i]; | 
					
						
						|  | const citeInfo = findCites(ref); | 
					
						
						|  | if (citeInfo) { | 
					
						
						|  | tippyHover(citeInfo.el, function() { | 
					
						
						|  | var popup = window.document.createElement('div'); | 
					
						
						|  | citeInfo.cites.forEach(function(cite) { | 
					
						
						|  | var citeDiv = window.document.createElement('div'); | 
					
						
						|  | citeDiv.classList.add('hanging-indent'); | 
					
						
						|  | citeDiv.classList.add('csl-entry'); | 
					
						
						|  | var biblioDiv = window.document.getElementById('ref-' + cite); | 
					
						
						|  | if (biblioDiv) { | 
					
						
						|  | citeDiv.innerHTML = biblioDiv.innerHTML; | 
					
						
						|  | } | 
					
						
						|  | popup.appendChild(citeDiv); | 
					
						
						|  | }); | 
					
						
						|  | return popup.innerHTML; | 
					
						
						|  | }); | 
					
						
						|  | } | 
					
						
						|  | } | 
					
						
						|  | }); | 
					
						
						|  | </script> | 
					
						
						|  |  | 
					
						
						|  |  | 
					
						
						|  | </body></html> |