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Model: loaiabdalslam/SLM-FRIDGE-ICED-0.5B-32BQWEN
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---
language:
- en
license: apache-2.0
library_name: transformers
pipeline_tag: text-generation
tags:
- small-language-model
- causal-lm
- qwen2
- 0.5b
- reasoning
- benchmarked
base_model: Qwen/Qwen2.5-32B
model-index:
- name: SLM-FRIDGE-0.5B
results:
- task:
type: multiple-choice
name: Massive Multitask Language Understanding (MMLU)
dataset:
name: MMLU
type: cais/mmlu
metrics:
- type: accuracy
value: 47.59
name: Accuracy
- task:
type: question-answering
name: ARC Challenge
dataset:
name: ARC Challenge
type: ai2_arc
config: ARC-Challenge
metrics:
- type: accuracy
value: 29.01
name: Accuracy
- type: normalized_accuracy
value: 32.76
name: Normalized Accuracy
- task:
type: mathematical-reasoning
name: GSM8K
dataset:
name: GSM8K
type: gsm8k
metrics:
- type: exact_match
value: 35.33
name: Exact Match (5-shot)
- task:
type: commonsense-reasoning
name: HellaSwag
dataset:
name: HellaSwag
type: hellaswag
metrics:
- type: accuracy
value: 40.68
name: Accuracy
- type: normalized_accuracy
value: 52.18
name: Normalized Accuracy
- task:
type: multiple-choice
name: TruthfulQA MC2
dataset:
name: TruthfulQA
type: truthful_qa
config: multiple_choice
metrics:
- type: accuracy
value: 39.77
name: Accuracy
- task:
type: commonsense-reasoning
name: Winogrande
dataset:
name: Winogrande
type: winogrande
metrics:
- type: accuracy
value: 56.51
name: Accuracy
---
# SLM FRIDGE - ICED MODEL [32b Qwen Shadow-v1.5.p] (Quantum-Inspired Cross-Dimensional Shadow Projection)
Welcome to the **SLM FRIDGE - ICED MODEL** repository. This project features a revolutionary Cross-Dimensional Manifold Projection (CDMP) engine that takes high-dimensional alignment properties from 7B models and projects them directly into 1.5B (1B-class) student models without traditional student-teacher training or memory-intensive distillation.
![730749823_1552302703228403_6044455848375536848_n](https://cdn-uploads.huggingface.co/production/uploads/64c4620f3e80e593568f3875/mtwdeRbaN_Z3g9ATHsLoG.jpeg)
---
## Mathematical Philosophy: Cross-Dimensional Manifold Projection (CDMP)
Traditional parameter merging assumes identical parameter dimensions between models.
CDMP transfers instruction-following behavior from a higher-dimensional teacher model into a lower-dimensional student model through manifold projection.
## 1. Extracting the Instruction Alignment Delta
The instruction-tuning signal is isolated from the teacher model:
$$
\Delta W_{\text{high}}
=
W_{\text{teacher\_instruct}}
-
W_{\text{teacher\_base}}
$$
---
## 2. Manifold Subspace Decomposition
The alignment delta is decomposed using Singular Value Decomposition (SVD):
$$
\Delta W_{\text{high}}
\approx
U_{\text{high}}
\Sigma_{\text{high}}
V_{\text{high}}^{T}
$$
Where:
$$
U_{\text{high}} \in \mathbb{R}^{m \times r}
$$
$$
\Sigma_{\text{high}} \in \mathbb{R}^{r \times r}
$$
$$
V_{\text{high}} \in \mathbb{R}^{n \times r}
$$
---
## 3. Cross-Dimensional Projection
The singular manifolds are projected into the student's dimensional space while preserving the dominant singular energy spectrum.
Output-space projection:
$$
U_{\text{low}}
=
\operatorname{Project}
\left(
U_{\text{high}},
d_{\text{low,out}}
\right)
$$
Input-space projection:
$$
V_{\text{low}}
=
\operatorname{Project}
\left(
V_{\text{high}},
d_{\text{low,in}}
\right)
$$
Projected alignment manifold:
$$
\Delta W_{\text{proj}}
=
U_{\text{low}}
\Sigma_{\text{high}}
V_{\text{low}}^{T}
$$
---
## 4. Instruction Manifold Infusion
The projected manifold is infused into the student base model:
$$
W_{\text{ICED}}
=
W_{\text{student\_base}}
+
\alpha
\Delta W_{\text{proj}}
$$
Expanded form:
$$
W_{\text{ICED}}
=
W_{\text{student\_base}}
+
\alpha
\left(
U_{\text{low}}
\Sigma_{\text{high}}
V_{\text{low}}^{T}
\right)
$$
Where:
- **α** = infusion coefficient
- **α = 0** preserves the original student model
- Higher **α** values increase transferred instruction behavior
---
## Conceptual Overview
CDMP treats instruction tuning as a transferable low-rank manifold rather than a direct parameter delta.
The procedure is:
1. Extract the instruction alignment delta from the teacher.
2. Decompose the delta into its dominant singular structures.
3. Project those structures into the student's dimensional space.
4. Reconstruct the projected manifold.
5. Infuse the resulting manifold into the student model.
### Transfer Path
$$
\text{Teacher}_{7B}
\;\longrightarrow\;
\text{CDMP Projection}
\;\longrightarrow\;
\text{Student}_{1.5B}
$$
This enables cross-scale instruction transfer without requiring identical parameter dimensions.
---
## Technical Performance Benchmark & Comprehensive Comparison
Below is the comparative report highlighting the performance profile of the original models alongside our newly minted **Cross-Projected ICED Model** (rank = 24):
---
### 1. Output Generational Preview
#### **Test Prompt:**
> *"Machine learning is transforming the world by"*
#### **Original Base Student (7B) Generation:**
> Machine learning is transforming the world by providing powerful tools for solving complex problems in a wide range of domains. In this post, well explore how machine learning can be used to solve real-world problems and make predictions about future events.
In order to do that, lets first look at what exactly machine learning is. Machine Learning (ML
#### **ICED Model Generation (With 32B Infused Brain):**
> Machine learning is transforming the world by providing powerful insights into complex data. But what about privacy? Can we use machine learning to protect our personal information while still getting valuable results?
The answer lies in differential privacy, a mathematical framework that ensures sensitive data remains private even as its used for analysis.
In this blog post, well explore
---
## Production Deployment Instructions
The resulting model weights and tokenizer are completely ready for production:
```python
from transformers import AutoModelForCausalLM, AutoTokenizer
tokenizer = AutoTokenizer.from_pretrained("loaiabdalslam/SLM-FRIDGE-ICED-0.5B-32BQWEN")
model = AutoModelForCausalLM.from_pretrained("loaiabdalslam/SLM-FRIDGE-ICED-0.5B-32BQWEN")
```

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2026-06-24 08:20:32,690 [INFO] Target compute device selected: cpu
2026-06-24 08:20:32,696 [INFO] ======================================
2026-06-24 08:20:32,697 [INFO] Profiling and evaluating Original Base Student Model (1.5B)...
2026-06-24 08:20:32,698 [INFO] ======================================
2026-06-24 08:20:54,647 [INFO] ======================================
2026-06-24 08:20:54,648 [INFO] Synthesizing the hybrid CDMP ICED Model...
2026-06-24 08:20:54,649 [INFO] ======================================
2026-06-24 08:20:54,650 [INFO] === STEP 1: Loading student tokenizer ===
2026-06-24 08:20:54,898 [INFO] === STEP 2: Loading student base model as structural target ===
2026-06-24 08:20:57,325 [INFO] Detected 24 layers in Student Model (Qwen/Qwen2.5-0.5B)
2026-06-24 08:20:57,524 [INFO] === STEP 3: Loading Teacher Base Model and filtering active keys to conserve RAM ===
2026-06-24 08:27:53,269 [INFO] Detected 64 layers in Teacher Base Model (Qwen/Qwen2.5-32B)
2026-06-24 08:28:21,610 [INFO] === STEP 4: Loading Teacher Instruct Model and progressively filtering layers ===
2026-06-24 08:35:44,038 [INFO] === STEP 5: Progressively decomposing and projecting 7B shadows down to 1.5B dimensions ===
2026-06-24 08:40:00,194 [INFO] === STEP 6: Injecting projected 7B shadow into 1.5B student manifold ===
2026-06-24 08:40:01,322 [INFO] Assembling and instantiating final QISI student assets...
2026-06-24 08:40:03,722 [INFO] Successfully merged and projected 7B Instruct alignments into 1.5B Base Student!
2026-06-24 08:40:03,728 [INFO] Profiling and evaluating synthesized CDMP ICED Model...
2026-06-24 08:40:15,575 [INFO] Production-ready causal weights successfully saved to: ./slm_fridge_iced_model_production
2026-06-24 08:40:15,582 [INFO] Successfully generated comparison report and exported to: ./slm_fridge_iced_model_production/README.md
2026-06-24 08:40:15,588 [INFO] Uploading model assets to Hugging Face Hub Registry: loaiabdalslam/SLM-FRIDGE-ICED-0.5B-32BQWEN-Shdow

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