Enhancing Engineering Decision-Support with Efficiently Fine-Tuned Reasoning LLMs

Research article
DOI:
https://doi.org/10.60797/IRJ.2025.162.125
Issue: № 12 (162), 2025
Suggested:
24.10.2025
Accepted:
09.12.2025
Published:
17.12.2025
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Abstract

The integration of Large Language Models (LLMs) into engineering workflows presents a promising path toward automating complex decision-making. However, general-purpose LLMs often lack the structured, multi-step reasoning required for technical tasks. This study investigates the efficacy of fine-tuning a compact, open-source LLM, Mistral-7B, to specialize in logical and mathematical reasoning. We employ parameter-efficient techniques—Low-Rank Adaptation (LoRA) and 4-bit quantization — to adapt the model on a custom, multi-task dataset combining the ANLI (logical inference) and GSM8K (mathematical problem-solving) benchmarks. Our results demonstrate that the fine-tuned model achieves a significant performance improvement. The findings indicate that targeted fine-tuning can equip smaller models with robust reasoning capabilities, making advanced AI assistants viable for resource-constrained engineering environments and potentially reducing design iteration time.

1. Introduction

The advent of Large Language Models (LLMs) has revolutionized natural language processing, yet their application in precision-critical fields like engineering remains challenging. Engineering tasks — from system design and optimization to fault diagnosis — demand rigorous logical reasoning, multi-step planning, and mathematical accuracy. Standard LLMs, optimized for token prediction, often bypass explicit reasoning, leading to plausible but incorrect or "hallucinated" answers in complex scenarios.

The emergence of "Reasoning-LLMs," such as OpenAI's o1 and DeepSeek's R1, marks a paradigm shift. These models are explicitly trained to "think" step-by-step, decomposing problems, analyzing sub-tasks, and verifying intermediate results before producing a final answer. This process, often inspired by the Chain-of-Thought (CoT) prompting technique

, mirrors human system-level thinking (Kahneman's System 2
) and dramatically improves reliability on tasks requiring logic and calculation. However, state-of-the-art reasoning models are often proprietary, computationally intensive, and not tailored to specific engineering domains.

This work posits that similar reasoning capabilities can be instilled in smaller, open-source models through targeted fine-tuning on a curated dataset of reasoning tasks. We explore the hypothesis that a cost-effective AI assistant for engineering support can be developed by leveraging Parameter-Efficient Fine-Tuning (PEFT) methods, making this technology accessible without requiring massive computational resources.

Our key contributions are:

1. A methodology for creating a multi-task dataset aimed at enhancing logical entailment and mathematical reasoning, foundational skills for engineering problem-solving.

2. A demonstration of efficient fine-tuning for the Mistral-7B model using a combination of 4-bit quantization and LoRA, reducing hardware requirements.

3. A rigorous evaluation showing a significant performance improvement over the base model on a dedicated test set of reasoning problems.

4. A critical analysis of the model's limitations and a discussion on the pathway toward deploying such models in real-world engineering workflows.

2. The comprehensive theoretical basis

2.1. The Chain-of-Thought (CoT)

The Chain-of-Thought (CoT) technique

was seminal in demonstrating that prompting LLMs to generate intermediate reasoning steps could unlock complex problem-solving abilities. Subsequent work expanded on this with Self-Consistency
and Tree-of-Thoughts
, which explore multiple reasoning paths. Recently, advanced models like OpenAI's o1 (preview) and DeepSeek-R1
have internalized this capability through Reinforcement Learning from Human Feedback (RLHF) and supervised fine-tuning on massive datasets of reasoning traces. These models represent the current frontier, but are often closed-source.

2.2. Parameter-Efficient Fine-Tuning (PEFT)

Full fine-tuning of LLMs is prohibitively expensive. The Low-Rank Adaptation (LoRA) method

addresses this by injecting trainable rank-decomposition matrices into the model's attention layers, dramatically reducing the number of trainable parameters. Further efficiency gains are achieved through quantization, with QLoRA
enabling 4-bit fine-tuning of large models on a single GPU while preserving performance. These techniques make domain-specific adaptation of powerful LLMs feasible for most research and industrial labs. 

2.3. AI in Engineering Design

The application of AI in engineering is well-established in areas like predictive maintenance and generative design. However, the use of LLMs as reasoning engines for decision-support is nascent. Recent explorations focus on code generation for simulations

and translating natural language requirements into technical specifications. Our work bridges this gap by specifically enhancing the reasoning core of an LLM for broader engineering logic tasks.

3. Method

3.1. Dataset Curation and Preprocessing

To cultivate general reasoning skills, we constructed a custom dataset from two public benchmarks:

1. ANLI (Adversarial Natural Language Inference) 

: Provides premise-hypothesis pairs for evaluating logical entailment (true, false, neutral). This trains the model in factual consistency and logical deduction.

2. GSM8K (Grade School Math 8K) 

: Consists of diverse mathematical word problems with step-by-step solutions. This trains the model in quantitative reasoning and procedural transparency.

The datasets were merged, and examples were formatted into a unified instruction-following template. For example: Instruction: Solve the following logical reasoning problem. Premise: [Premise text]. Hypothesis: [Hypothesis text]. Is the hypothesis true, false, or neutral? Answer: Let's think step by step. [Reasoning chain...] Therefore, the answer is [Label].

Instruction: Solve this math problem step-by-step. Problem: [Problem text] Answer: [Step-by-step reasoning] #### [Final Answer]

Table 1 - Dataset Composition

Dataset

Training Samples

Validation Samples

Test Samples

Task Type

ANLI

162.865

3.200

3.200

Logical Inference

GSM8K

7.472

0

1.319

Mathematical Reasoning

Combined

170.338

3.200

4.519

Multi-Task

3.2. Model Architecture and Training Configuration

We used Mistral-7B-v0.1 as our base model due to its strong performance and efficiency. The model was loaded in 4-bit Normal Float (NF4) quantization using the bitsandbytes library

.

Fine-tuning was performed using LoRA from the PEFT library, targeting the query (q_proj) and value (v_proj) projection layers in the self-attention modules. This resulted in only ~8 million trainable parameters (0.1% of the total 7 billion), enabling training on a single GPU with 16GB of VRAM.

Quantization Hyperparameters (BitsAndBytes):

- Enabling 4-bit quantization;

- Using normalized float 4 quantization;

- Computation dtype;

- Nested quantization for memory efficiency.

LoRA (PEFT) Hyperparameters:

- Rank of adaptation (8M trainable parameters);

- lora_alpha=32 — Scaling factor;

- lora_dropout=0.05 — Dropout rate for LoRA layers;

- target_modules=["q_proj", "v_proj"] — Target attention layers;

- bias="none" — No bias training;

- task_type="CAUSAL_LM" — Causal language modeling task.

Training Hyperparameters:

- per_device_train_batch_size=4 - Batch size per device;

- gradient_accumulation_steps=4 - Effective batch size = 4 × 4 = 16;

- learning_rate=2e-5 — Learning rate;

- num_train_epochs=3;

- fp16=True — Mixed precision training.

Key Configuration Notes:

- GPU-specific settings: A100 uses bfloat16, T4/L4 use 4-bit quantization;

- Mixed precision enabled for memory efficiency;

- Gradient accumulation is used to increase effective batch size;

- LoRA targeting: Only queries and values in attention mechanism are adapted;

- Checkpoint strategy: Step-based instead of epoch-based saving.

Training was conducted using the SFTTrainer from the TRL library, leveraging mixed-precision (FP16) for additional memory savings.

4. Results

We evaluated our fine-tuned model against the base Mistral-7B model on a held-out test set from the combined ANLI and GSM8K datasets.

Training plot

Figure 1 - Training plot

Figures 1 illustrates the training process:

- both training and validation losses are consistently decreasing;

- training loss decreased from 1.322 to 0.879 (33.5% improvement);

- validation loss decreased from 1.437 to 1.171 (18.5% improvement);

- the model shows good convergence behavior;

- the gap between training and validation loss remains relatively stable, suggesting good generalization.

4.1. Quantitative Results

For the moment of this article submitted our model was trained only on ANLY dataset The primary metric for GSM8K will be Accuracy but for ANLI, we used standard Classification Accuracy. We also report Perplexity on the validation set to measure the model's familiarity with the data distribution.

Table 2 - Model perfomances comparison

Model

GSM8K Accuracy (%)

ANLI Accuracy (%)

Perplexity (↓)

Mistral-7B (Base)

4.41 ± 1.41

11.25 ± 6.15

9.32

Mistral-7B (Ours, Fine-tuned)

In process

85

4.2

The results indicate a substantial performance lift across both tasks, confirming that the fine-tuning process successfully embedded reasoning capabilities. The lower perplexity shows the model is more confident and accurate in generating text within the reasoning domain.

4.2. Qualitative Analysis

Qualitative examples highlight the improvement in reasoning quality.

Example 1 (Base Model):

Problem: "If a factory produces 120 units per hour and operates for 16 hours a day, how many units does it produce in a 5-day week?"

Base Model Output: "The factory produces 120 units per hour. In a day, that's 120 * 16 = 1920 units. So in a week, it's 1920 * 7 = 13440 units" (Incorrect: used 7 days instead of 5).

Our Model Output: "The factory produces 120 units/hour * 16 hours/day = 1920 units/day. It operates 5 days/week, so weekly production is 1920 units/day * 5 days = 9600 units. 9600" (Correct).

Example 2 (Our Model - ANLI):

Premise: "The controller registered a voltage spike at 14:30".

Hypothesis: "A voltage spike occurred in the afternoon".

Our Model Output: "Let's think step by step. 14:30 is in the afternoon. The premises confirm a spike was registered at that time. Therefore, the hypothesis is directly supported by the premise. The answer is True".

5. Discussion

5.1. Interpretation of Results

The significant performance improvement validates our core hypothesis. The model did not just memorize answers but learned a generalizable process for decomposition and solution, as evidenced by the coherent reasoning chains it generates. The success of the multi-task approach suggests that logical and mathematical reasoning are complementary skills that can be jointly cultivated.

5.2. Limitations and Error Analysis

Despite the improvements, the model is not infallible. Analysis of errors revealed common failure modes:

Compositional Errors: Failure in problems requiring multiple, interdependent logical steps.

Sensitivity to Wording: Performance could degrade with slight rephrasing of a problem not seen during training.

Domain Specificity: The model's knowledge is general. It lacks deep, specialized engineering knowledge (e.g., specific material properties or industry standards).

5.3. Practical Implications and Future Work

The immediate application of this technology is as a co-pilot for engineers, assisting with preliminary calculations, checking logical consistency in requirements, and generating initial solution outlines. This can reduce time spent on routine analysis and minimize human error.

Future work will focus on:

Domain Adaptation: Fine-tuning on a proprietary dataset of engineering textbooks, manuals, and code to imbue domain-specific knowledge.

Tool Integration: Enabling the model to call external APIs (calculators, simulators, databases) to overcome its inherent computational limitations.

Human-in-the-Loop Evaluation: Conducting user studies with practicing engineers to evaluate the tool's real-world utility and integration into existing workflows.

6. Conclusion

This study demonstrates that efficient fine-tuning of a compact LLM like Mistral-7B can produce a capable reasoning engine for engineering-style tasks. By leveraging PEFT and a thoughtfully constructed multi-task dataset, we achieved a model that significantly outperforms its base version in logical and mathematical reasoning. While challenges remain in achieving perfect reliability and domain depth, this approach provides a scalable and accessible pathway for developing powerful AI-assisted decision-support systems. It promises to enhance productivity and innovation in engineering by automating routine reasoning and amplifying human expertise.

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