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1
  ---
2
- license:
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- - apache-2.0
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- - llama3.2
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- tags:
6
- - llama
7
- - control-theory
8
- - regularization
9
- - automatic-control
10
- - information-theory
11
- language:
12
- - en
13
  base_model: meta-llama/Llama-3.2-1B
14
- library_name: transformers
 
 
 
 
15
  ---
16
 
17
- # Shannon Control Unit
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
18
 
19
- *Automatic rate-distortion control for neural network training*
 
 
20
 
21
- [![Model](https://img.shields.io/badge/🤗_Hugging_Face-Models-yellow)](https://huggingface.co/hunterbown/shannon-control-unit)
22
- [![Parameters](https://img.shields.io/badge/Parameters-1B_|_3B_|_8B-blue)]()
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- [![Control](https://img.shields.io/badge/Control_Precision-±0.12pp-green)]()
24
 
25
- ## Key Innovation
26
 
27
- Automatic closed-loop control system for neural network regularization based on the Minimum Description Length (MDL) principle. The system manages an interpretable "information budget" - the proportion of total description length allocated to model complexity.
28
 
29
- ### Theoretical Foundation
30
 
31
- The loss function implements the MDL two-part code:
32
- ```
33
- L_total = L_data + λ(t)·L_params
34
- ```
35
-
36
- Where:
37
- - **L_data** (DataBPT): Cross-entropy loss in bits - the cost to encode data given the model
38
- - **L_params** (ParamBPT): Negative log prior of weights under N(0,σ²I) in bits - the cost to encode the model itself
39
- - **λ(t)**: Dynamically adjusted Lagrange multiplier (from rate-distortion theory)
40
-
41
- The controlled variable S represents the actual information allocation ratio (the control target):
42
- ```
43
- S = L_params / (L_data + L_params)
44
- ```
45
 
46
- This answers: "What percentage of the total information cost describes the model?"
47
- (Note: S is independent of the regularization weight λ)
48
 
49
- ## Control Dynamics
50
 
51
- <!-- Control dynamics visualization will be added here -->
52
 
53
- *The 3B model demonstrates robust control: starting far above target, the PI controller automatically adjusts λ from 0.5 to 2.6, achieving stable control at 2.88% (close to target: 3.0%). This showcases excellent convergence - a key property of robust control systems.*
54
 
55
- ## Performance at 250 Steps
56
 
57
- ### 1B Models
58
- | Model | Data BPT | Param BPT | Total BPT | Share S% | λ Value | Control |
59
- |-------|----------|-----------|-----------|----------|---------|---------|
60
- | **Baseline (CE)** | 3.315 | - | 3.315 | 0.00% | - | None |
61
- | **Fixed (λ=0.5)** | 4.325 | 0.110 | 4.435 | 2.48% | 0.5 | Manual |
62
- | **SCU** | 3.771 | 0.114 | 3.885 | **2.93%** | 1.000 | ✓ Auto |
63
-
64
- ### 3B Models
65
- | Model | Data BPT | Param BPT | Total BPT | Share S% | λ Value | Control |
66
- |-------|----------|-----------|-----------|----------|---------|---------|
67
- | **Baseline (CE)** | 4.092 | - | 4.092 | 0.00% | - | None |
68
- | **Fixed (λ=0.5)** | 2.773 | 0.096 | **2.869** | 3.35% | 0.5 | Manual |
69
- | **SCU** | 3.236 | 0.096 | 3.332 | **2.88%** | 2.607 | Auto |
70
-
71
- *Note: Models intentionally undertrained (250 steps) to demonstrate control robustness in compute-constrained settings. The 3B baseline's higher BPT than 1B (4.092 vs 3.315) reflects insufficient training data for the larger model's parameter count.*
72
-
73
- ## Quick Start
74
-
75
- ```python
76
- from transformers import AutoModelForCausalLM, AutoTokenizer
77
- from peft import PeftModel
78
- import torch
79
-
80
- # For 3B models (LoRA adapters in subfolders)
81
- base_model = AutoModelForCausalLM.from_pretrained(
82
- "meta-llama/Llama-3.2-3B",
83
- torch_dtype=torch.float16,
84
- device_map="auto"
85
- )
86
- # Load SCU version (or use subfolder="3b-fixed" for fixed lambda)
87
- model = PeftModel.from_pretrained(
88
- base_model,
89
- "hunterbown/shannon-control-unit",
90
- subfolder="3b-scu"
91
- )
92
- tokenizer = AutoTokenizer.from_pretrained("meta-llama/Llama-3.2-3B")
93
-
94
- # Generate text
95
- inputs = tokenizer("The future of AI is", return_tensors="pt")
96
- outputs = model.generate(**inputs, max_length=50)
97
- print(tokenizer.decode(outputs[0]))
98
- ```
99
-
100
- ## Model Specifications
101
-
102
- <table>
103
- <tr>
104
- <td>
105
-
106
- ### 1B Model
107
- - **Base**: Llama-3.2-1B
108
- - **Parameters**: 1.24B
109
- - **Training**: 512K tokens
110
- - **Control λ**: 1.000
111
- - **Target S**: 3.0%
112
- - **Achieved S**: 2.93%
113
-
114
- </td>
115
- <td>
116
-
117
- ### 3B Model
118
- - **Base**: Llama-3.2-3B
119
- - **Parameters**: 3.21B
120
- - **Training**: 512K tokens
121
- - **Control λ**: 2.607
122
- - **Target S**: 3.0%
123
- - **Achieved S**: 2.88%
124
-
125
- </td>
126
- <td>
127
-
128
- ### 8B Model (Planned)
129
- - **Base**: Apertus-8B
130
- - **Parameters**: 8B
131
- - **Training**: 2M tokens
132
- - **Expected λ**: ~3-5
133
- - **Target S**: 1.0%
134
- - **Status**: Q4 2025
135
-
136
- </td>
137
- </tr>
138
- </table>
139
-
140
- ## Technical Details
141
-
142
- ### Formal Definitions
143
-
144
- **Bits Per Token (BPT)** - Information-theoretic measurements:
145
- - **DataBPT**: Cross-entropy loss using base-2 logarithm: `-1/N Σ log₂ P(token_i | context_i)`
146
- - **ParamBPT**: Negative log prior of LoRA weights under N(0,σ²I), normalized by tokens N and converted to bits (nats / ln 2). In practice, this is equivalent to an L2 penalty.
147
- - **Prior**: Isotropic Gaussian with σ=0.01 (LoRA adapters initialized near zero)
148
-
149
- **Optimizer Configuration**: We use AdamW with `weight_decay=0` to avoid double regularization (since ParamBPT provides the regularization).
150
-
151
- ### Shannon Control Unit Architecture
152
-
153
- ```
154
- ┌─────────────┐ Error ┌─────────────┐
155
- │ Current S% ├───────────────> │ PI Control │
156
- └─────────────┘ │ └──────┬──────┘
157
- ↑ │ │
158
- │ ↓ ↓
159
- ┌──────┴──────┐ ┌──────────┐ ┌──────────┐
160
- │ Measure S% │ │ Target S │ │ Update λ │
161
- └──────┬──────┘ └──────────┘ └─────┬────┘
162
- ↑ │
163
- │ ┌──────────┐ │
164
- └─────────┤ Model │<────────┘
165
- └──────────┘
166
- ```
167
-
168
- ### Control Algorithm
169
-
170
- ```python
171
- # PI controller with deadband, positivity guarantee, and anti-windup
172
- def update_lambda(lmbda, S, S_target, I, Kp=1.2, Ki=0.25,
173
- deadband=0.003, I_min=-0.1, I_max=0.1,
174
- lmbda_min=1e-4, lmbda_max=50.0):
175
- """Robust PI controller ensuring λ > 0"""
176
- error = S_target - S
177
-
178
- # Deadband - only update if outside tolerance
179
- if abs(error) <= deadband:
180
- return lmbda, I
181
-
182
- # Anti-windup: clamp integral term
183
- I = max(I_min, min(I_max, I + error))
184
-
185
- # Multiplicative update guarantees λ > 0
186
- lmbda = lmbda * math.exp(Kp*error + Ki*I)
187
-
188
- # Final safety clamps
189
- lmbda = max(lmbda_min, min(lmbda, lmbda_max))
190
-
191
- return lmbda, I
192
- ```
193
-
194
- ### Loss Function
195
-
196
- ```
197
- L_total = L_data + λ(t)·L_params
198
-
199
- where:
200
- - L_data: Cross-entropy loss (bits)
201
- - L_params: KL(weights || prior)
202
- - λ(t): Automatically controlled multiplier
203
- ```
204
-
205
- ## Scaling Behavior
206
-
207
- | Model Size | Optimal λ | Target S% | Training Data | Status |
208
- |------------|-----------|-----------|---------------|---------|
209
- | 1B | 1.000 | 3.25% | 512K tokens | ✅ Complete |
210
- | 3B | 2.607 | 3.00% | 512K tokens | ✅ Complete |
211
- | 8B | ~3-5 | 1.00% | 2M tokens | 📅 Q4 2025 |
212
- | 70B | ~10-15 | 0.50% | 10M tokens | 🔬 Research |
213
-
214
- *Training data scales with model size to maintain consistent data/parameter ratios.*
215
-
216
- ## Significance
217
-
218
- ### Why Automatic Control Matters
219
-
220
- **The Problem**: Traditional fixed regularization (λ=0.5) gives you whatever S% it produces - you have no control over the information allocation. As seen in our results, fixed λ=0.5 yields:
221
- - 1B: S=2.48% (missed target by 17%)
222
- - 3B: S=3.35% (missed target by 12%)
223
-
224
- **The Solution**: SCU automatically finds and maintains your exact target:
225
- - 1B: Achieved 2.93% (target 3.0%) - Error: 0.07pp
226
- - 3B: Achieved 2.88% (target 3.0%) - Error: 0.12pp
227
-
228
- ### Key Advantages
229
-
230
- 1. **Precise Control**: Maintains parameter share within ±0.12pp of any target
231
- 2. **Automatic Adaptation**: No manual hyperparameter search needed
232
- 3. **Scale-Invariant**: Different model sizes automatically find appropriate λ values
233
- 4. **Real-Time Monitoring**: Watch information allocation during training
234
- 5. **Robustness**: Works even with limited training data (demonstrated at 250 steps)
235
-
236
- ### Understanding the "Anomalous" Results
237
-
238
- The experimental results that might appear counterintuitive actually provide strong evidence for adaptive control:
239
-
240
- **1B Fixed (λ=0.5) showing 4.435 BPT vs baseline 3.315:**
241
- - Fixed regularization from step 0 severely impedes initial learning
242
- - The model can't effectively fit data within 250 steps under heavy constraint
243
- - This demonstrates why adaptive control is necessary - optimal λ changes during training
244
-
245
- **3B baseline worse than 1B (4.092 vs 3.315 BPT):**
246
- - Larger model + insufficient data (512K tokens) = undertraining
247
- - 3B has excess capacity, begins memorizing noise
248
- - SCU correctly responds: finds λ=2.607 (vs 1.000 for 1B) to constrain the excess capacity
249
-
250
- These results collectively argue against "one-size-fits-all" regularization and demonstrate SCU's value in automatically finding appropriate λ for each situation.
251
 
252
  ## Training Details
253
 
254
- <details>
255
- <summary><b>Configuration & Reproducibility</b></summary>
256
 
257
- ```yaml
258
- # Model Configuration
259
- base_model: Llama-3.2
260
- lora_r: 16
261
- lora_alpha: 16
262
- learning_rate: 1.67e-5
263
- batch_size: 16
264
- gradient_accumulation: 4
265
 
266
- # PI Controller Parameters (Critical for Reproducibility)
267
- Kp: 2.0 # Proportional gain
268
- Ki: 0.5 # Integral gain
269
- deadband: 0.005 # ±0.5% tolerance before control action
270
- ema_alpha: 0.95 # Exponential moving average smoothing
271
 
272
- # Information Budget Targets
273
- 1B_model:
274
- target_S: 0.0325 # 3.25%
275
- initial_λ: 1.0
276
- converged_λ: 1.000
277
-
278
- 3B_model:
279
- target_S: 0.03 # 3.0%
280
- initial_λ: 1.0
281
- converged_λ: 2.607
282
 
283
- # Prior Distribution for KL Term
284
- prior_type: "Gaussian"
285
- prior_sigma: 0.01 # N(0, 0.01²I) for LoRA adapters
286
- ```
287
 
288
- </details>
289
 
290
- <details>
291
- <summary><b>Reproducibility</b></summary>
292
 
293
- Full training code and reproducibility instructions available upon request. The method uses standard PyTorch and HuggingFace Transformers libraries.
294
 
295
- </details>
296
 
297
- ## Background
298
 
299
- > "Information is the resolution of uncertainty." - Claude Shannon, Bell Labs, 1948
300
 
301
- The Shannon Control Unit applies Shannon's information theory to neural network training, treating parameter capacity as a communication channel with limited bandwidth.
302
 
303
- ## Related Work
304
 
305
- ### Foundational Theory
306
- - **Rate-Distortion Theory** (Shannon, 1959): Minimizing distortion subject to rate constraints using Lagrange multipliers
307
- - **MDL Principle** (Hinton & van Camp, 1993): Neural networks as two-part codes (model + data|model)
308
- - **Modern MDL** (Blier & Ollivier, 2018): Large NNs as effective data compressors
309
 
310
- ### Control in ML
311
- - **ControlVAE** (Shao et al., 2020): PI control for KL divergence in VAEs - direct inspiration for our approach
312
- - **PPO/RLHF**: Adaptive KL penalties to constrain policy updates within trust regions
313
- - **Adaptive Regularization**: Various scheduling methods (learning rate, dropout, weight decay)
314
 
315
- ### Our Contribution
316
- While components exist separately, SCU uniquely combines:
317
- 1. MDL-based information budget (S) as control objective
318
- 2. Formal PI control for automatic λ adjustment
319
- 3. Application to LLM training with proven ±0.01% precision
320
 
321
- ### Comparative Analysis
322
 
323
- | Method | Control Objective | Mechanism | Domain |
324
- |--------|------------------|-----------|---------|
325
- | ControlVAE | Fix KL divergence at C | PI control on β | VAEs |
326
- | PPO w/ Adaptive KL | Constrain policy KL < δ | Proportional control | RL |
327
- | MDL (Hinton '93) | Minimize L(D,W) | Gradient descent | NNs |
328
- | **SCU (Ours)** | **Fix info budget S%** | **PI control on λ** | **LLMs** |
329
 
330
- ## Frequently Asked Questions
331
 
332
- **Q: Why is this better than fixed λ?**
333
- A: Fixed λ gives you whatever S% it happens to produce. SCU gives you exactly the S% you want, automatically.
334
 
335
- **Q: Why would I want a specific S%?**
336
- A: Different S% values may be optimal for different objectives:
337
- - Lower S% (1-2%): Stronger regularization, more compression
338
- - Medium S% (3-5%): Balanced capacity
339
- - Higher S% (≥5%): Weaker regularization, risk of overfit
340
 
341
- **Q: Is 250 steps enough to prove this works?**
342
- A: For demonstrating control precision, yes. The PI controller converges and maintains target within 50-100 steps. Extended training would show performance implications.
343
 
344
- **Q: Why does 3B baseline have worse BPT than 1B?**
345
- A: Insufficient training data for the larger model (512K tokens). This actually demonstrates SCU's robustness - it maintains precise control even when models are struggling.
346
 
347
- ## Citation
348
 
349
- If you use this method in your research, please cite:
350
 
351
- ```bibtex
352
- @misc{bown2025scu,
353
- title={Shannon Control Unit: Automatic Rate-Distortion Control for Neural Network Training},
354
- author={Bown, Hunter},
355
- year={2025},
356
- url={https://huggingface.co/hunterbown/shannon-control-unit},
357
- note={HuggingFace Model Repository}
358
- }
359
- ```
360
 
361
- ## Links
362
 
363
- - **Model Repository**: This HuggingFace page
364
- - **Contact**: Via HuggingFace discussions
365
 
366
- ## License
367
 
368
- Model weights: Llama 3.2 Community License
369
- Training method & SCU implementation: Apache-2.0 License (open source)
370
 
371
- ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
372
 
373
- <div align="center">
374
 
375
- **Built with information theory at its core**
376
 
377
- *A tribute to Claude Shannon and Bell Labs' pioneering work in information theory*
 
378
 
379
- </div>
 
1
  ---
 
 
 
 
 
 
 
 
 
 
 
2
  base_model: meta-llama/Llama-3.2-1B
3
+ library_name: peft
4
+ tags:
5
+ - base_model:adapter:meta-llama/Llama-3.2-1B
6
+ - lora
7
+ - transformers
8
  ---
9
 
10
+ # Model Card for Model ID
11
+
12
+ <!-- Provide a quick summary of what the model is/does. -->
13
+
14
+
15
+
16
+ ## Model Details
17
+
18
+ ### Model Description
19
+
20
+ <!-- Provide a longer summary of what this model is. -->
21
+
22
+
23
+
24
+ - **Developed by:** [More Information Needed]
25
+ - **Funded by [optional]:** [More Information Needed]
26
+ - **Shared by [optional]:** [More Information Needed]
27
+ - **Model type:** [More Information Needed]
28
+ - **Language(s) (NLP):** [More Information Needed]
29
+ - **License:** [More Information Needed]
30
+ - **Finetuned from model [optional]:** [More Information Needed]
31
+
32
+ ### Model Sources [optional]
33
+
34
+ <!-- Provide the basic links for the model. -->
35
 
36
+ - **Repository:** [More Information Needed]
37
+ - **Paper [optional]:** [More Information Needed]
38
+ - **Demo [optional]:** [More Information Needed]
39
 
40
+ ## Uses
 
 
41
 
42
+ <!-- Address questions around how the model is intended to be used, including the foreseeable users of the model and those affected by the model. -->
43
 
44
+ ### Direct Use
45
 
46
+ <!-- This section is for the model use without fine-tuning or plugging into a larger ecosystem/app. -->
47
 
48
+ [More Information Needed]
 
 
 
 
 
 
 
 
 
 
 
 
 
49
 
50
+ ### Downstream Use [optional]
 
51
 
52
+ <!-- This section is for the model use when fine-tuned for a task, or when plugged into a larger ecosystem/app -->
53
 
54
+ [More Information Needed]
55
 
56
+ ### Out-of-Scope Use
57
 
58
+ <!-- This section addresses misuse, malicious use, and uses that the model will not work well for. -->
59
 
60
+ [More Information Needed]
61
+
62
+ ## Bias, Risks, and Limitations
63
+
64
+ <!-- This section is meant to convey both technical and sociotechnical limitations. -->
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+
66
+ [More Information Needed]
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+
68
+ ### Recommendations
69
+
70
+ <!-- This section is meant to convey recommendations with respect to the bias, risk, and technical limitations. -->
71
+
72
+ Users (both direct and downstream) should be made aware of the risks, biases and limitations of the model. More information needed for further recommendations.
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+
74
+ ## How to Get Started with the Model
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+
76
+ Use the code below to get started with the model.
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+
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+ [More Information Needed]
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
79
 
80
  ## Training Details
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+ ### Training Data
 
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+ <!-- This should link to a Dataset Card, perhaps with a short stub of information on what the training data is all about as well as documentation related to data pre-processing or additional filtering. -->
 
 
 
 
 
 
 
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+ [More Information Needed]
 
 
 
 
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+ ### Training Procedure
 
 
 
 
 
 
 
 
 
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+ <!-- This relates heavily to the Technical Specifications. Content here should link to that section when it is relevant to the training procedure. -->
 
 
 
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92
+ #### Preprocessing [optional]
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+ [More Information Needed]
 
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+ #### Training Hyperparameters
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99
+ - **Training regime:** [More Information Needed] <!--fp32, fp16 mixed precision, bf16 mixed precision, bf16 non-mixed precision, fp16 non-mixed precision, fp8 mixed precision -->
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+ #### Speeds, Sizes, Times [optional]
102
 
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+ <!-- This section provides information about throughput, start/end time, checkpoint size if relevant, etc. -->
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+ [More Information Needed]
106
 
107
+ ## Evaluation
 
 
 
108
 
109
+ <!-- This section describes the evaluation protocols and provides the results. -->
 
 
 
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+ ### Testing Data, Factors & Metrics
 
 
 
 
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+ #### Testing Data
114
 
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+ <!-- This should link to a Dataset Card if possible. -->
 
 
 
 
 
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+ [More Information Needed]
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+ #### Factors
 
120
 
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+ <!-- These are the things the evaluation is disaggregating by, e.g., subpopulations or domains. -->
 
 
 
 
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+ [More Information Needed]
 
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+ #### Metrics
 
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+ <!-- These are the evaluation metrics being used, ideally with a description of why. -->
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+ [More Information Needed]
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131
+ ### Results
 
 
 
 
 
 
 
 
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+ [More Information Needed]
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+ #### Summary
 
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138
 
139
+ ## Model Examination [optional]
140
+
141
+ <!-- Relevant interpretability work for the model goes here -->
142
+
143
+ [More Information Needed]
144
+
145
+ ## Environmental Impact
146
+
147
+ <!-- Total emissions (in grams of CO2eq) and additional considerations, such as electricity usage, go here. Edit the suggested text below accordingly -->
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+
149
+ Carbon emissions can be estimated using the [Machine Learning Impact calculator](https://mlco2.github.io/impact#compute) presented in [Lacoste et al. (2019)](https://arxiv.org/abs/1910.09700).
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+
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+ - **Hardware Type:** [More Information Needed]
152
+ - **Hours used:** [More Information Needed]
153
+ - **Cloud Provider:** [More Information Needed]
154
+ - **Compute Region:** [More Information Needed]
155
+ - **Carbon Emitted:** [More Information Needed]
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+
157
+ ## Technical Specifications [optional]
158
+
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+ ### Model Architecture and Objective
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+
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+ [More Information Needed]
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+
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+ ### Compute Infrastructure
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+
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+ [More Information Needed]
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+
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+ #### Hardware
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+
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+ [More Information Needed]
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+
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+ #### Software
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+
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+ [More Information Needed]
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+
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+ ## Citation [optional]
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+
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+ <!-- If there is a paper or blog post introducing the model, the APA and Bibtex information for that should go in this section. -->
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+
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+ **BibTeX:**
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+
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+ [More Information Needed]
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+
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+ **APA:**
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+
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+ [More Information Needed]
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+
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+ ## Glossary [optional]
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+
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+ <!-- If relevant, include terms and calculations in this section that can help readers understand the model or model card. -->
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+
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+ [More Information Needed]
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+
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+ ## More Information [optional]
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+
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+ [More Information Needed]
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+
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+ ## Model Card Authors [optional]
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+ [More Information Needed]
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+ ## Model Card Contact
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+ [More Information Needed]
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+ ### Framework versions
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+ - PEFT 0.17.1
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