--- library_name: transformers license: apache-2.0 language: - en widget: - example_title: Reasoning text: > <|im_start|>system You are Hyperion, an AI assistant developed by Sebastian Gabarain with a focus in reasoning, coding, science, and other general-purpose subjects. You are an AI assistant that follows instruction extremely well. Help as much as you can. <|im_end|> <|im_start|>user In this task, you are given a description of an object and its surroundings. Your task is to describe the motion of the object mentioned in the description using differential equations. The answer should be a mathematical expression in t. Description: A ball is thrown up at 30 ft/sec from 3 feet off the ground. Solve this step-by-step, explaining each step in detail. <|im_end|> <|im_start|>assistant output: text: > Hyperion here. The task requires you to describe the motion of a ball thrown up using differential equations. Here's the detailed explanation of how to solve it: 1. Identify the given information: - Initial velocity (v0): 30 ft/sec - Initial height (y0): 3 feet off the ground 2. Determine the acceleration due to gravity (g) at sea level, which is approximately -32.2 ft/s^2. Since we're dealing with a short distance and not very high altitudes, we can consider this value of g as constant. 3. Use Newton's second law of motion to find the differential equation that describes the motion: - The net force acting on the ball is the sum of gravity (mg) and air resistance (which we will neglect for simplicity). So, Fnet = mg. - Since acceleration equals force divided by mass, a = Fnet/m. In this case, m cancels out, so a = g. - The motion equation becomes: dv/dt = g = -32.2 ft/s^2 (since we're moving upwards). This is the first differential equation. 4. Since we want to describe the ball's position (y) as well, we need another differential equation. We can use kinematics equations: - The velocity equation is v = v0 + at. Substitute the value of a from step 3: dv/dt = -32.2 ft/s^2. Rewriting it as an integral: ∫dv = -32.2 ft/s^2 * dt - Integrating with respect to time, we get v(t) = -16.1 t + C (constant of integration). 5. Now we have two equations, one for velocity and another for position: - dv/dt = -32.2 ft/s^2 (equation 1) - v(t) = -16.1 t + C (equation 2) 6. We need to find the constant C using the initial conditions given in the problem. We know that initially, at time t=0, the ball's velocity is v0: - Equation 2 becomes v0 = -16.1 * 0 + C, which simplifies to C = v0 = 30 ft/sec (initial velocity). 7. Now we have both equations with the constants filled in: - dv/dt = -32.2 ft/s^2 (equation 1) - v(t) = -16.1 t + 30 ft/sec (equation 2) 8. Finally, we need to find the ball's position (y) as a function of time: - Use the second kinematics equation y = y0 + v0*t + ½*a*t^2 (since acceleration is constant, it can be moved outside the integral). - Substitute the values for v0 and a: y(t) = 3 ft + (30 ft/sec) * t + (-½ * 32.2 ft/s^2) * t^2 That's it! The differential equation describing the motion of the ball is: - dv/dt = -32.2 ft/s^2 (equation 1) - v(t) = -16.1 t + 30 ft/sec (equation 2) - y(t) = 3 ft + (30 ft/sec) * t - (16.1 t^2) ft (equation 3) datasets: - Locutusque/hyperion-dpo-v1.0 --- # Hyperion-3.0-Mistral-7B-DPO ## Model Details - **Model Name**: Locutusque/Hyperion-3.0-Mistral-7B-DPO - **Base Model**: mistralai/Mistral-7B-v0.1 - **Publisher**: Locutusque - **Model Type**: Question answering, conversational AI, code generation, medical text comprehension, mathematical reasoning, logical reasoning - **Language**: Multi-domain, English language - **License**: Apache-2.0 ## Model Description `Locutusque/Hyperion-3.0-Mistral-7B-DPO` is an advanced language model fine-tuned with a dataset of 20,000 meticulously curated high-quality preference pairs using Direct Preference Optimization (DPO). The examples were generated by GPT-4 to ensure exceptional quality and relevance. This model is designed to provide superior performance across a wide range of complex tasks, including question answering, conversational AI, code generation, medical text comprehension, mathematical reasoning, and logical reasoning. ## Intended Use This model is intended for researchers, developers, and organizations seeking a highly capable and reliable language model for tackling challenging problems across various domains. Potential use cases include: - Intelligent tutoring systems and educational applications in science, medicine, mathematics, and computer science - Advanced conversational AI for technical support, customer service, and domain-specific chatbots - Code generation and analysis tools for software development and programming assistance - Medical text analysis and information retrieval for healthcare professionals and researchers - Mathematical problem-solving and logical reasoning applications for academia and industry ## Training Data The `Locutusque/Hyperion-3.0-Mistral-7B-DPO` model was fine-tuned on a carefully curated dataset of 20,000 preference pairs, where 4,000 examples were used to fine-tune. These examples were generated by GPT-4 to ensure the highest quality and relevance across various domains, including programming, medical texts, mathematical problems, and reasoning tasks. The training data was further optimized using Direct Preference Optimization (DPO) to align the model's outputs with human preferences and improve overall performance. ## Quants ExLlamaV2: https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2 GGUF: https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-GGUF ## Evaluation Results mmlu flan cot 5-shot | Tasks |Version| Filter |n-shot| Metric |Value | |Stderr| |-------------------------------------------------------------|-------|----------|-----:|-----------|-----:|---|-----:| |mmlu_flan_cot_fewshot |N/A |get-answer| 0|exact_match|0.5833|± |0.0118| | - mmlu_flan_cot_fewshot_humanities |N/A |get-answer| 0|exact_match|0.5039|± |0.0205| | - mmlu_flan_cot_fewshot_formal_logic | 0|get-answer| 0|exact_match|0.2143|± |0.1138| | - mmlu_flan_cot_fewshot_high_school_european_history | 0|get-answer| 0|exact_match|0.6667|± |0.1143| | - mmlu_flan_cot_fewshot_high_school_us_history | 0|get-answer| 0|exact_match|0.7727|± |0.0914| | - mmlu_flan_cot_fewshot_high_school_world_history | 0|get-answer| 0|exact_match|0.5385|± |0.0997| | - mmlu_flan_cot_fewshot_international_law | 0|get-answer| 0|exact_match|0.9231|± |0.0769| | - mmlu_flan_cot_fewshot_jurisprudence | 0|get-answer| 0|exact_match|0.5455|± |0.1575| | - mmlu_flan_cot_fewshot_logical_fallacies | 0|get-answer| 0|exact_match|0.7778|± |0.1008| | - mmlu_flan_cot_fewshot_moral_disputes | 0|get-answer| 0|exact_match|0.5526|± |0.0817| | - mmlu_flan_cot_fewshot_moral_scenarios | 0|get-answer| 0|exact_match|0.4000|± |0.0492| | - mmlu_flan_cot_fewshot_philosophy | 0|get-answer| 0|exact_match|0.7647|± |0.0738| | - mmlu_flan_cot_fewshot_prehistory | 0|get-answer| 0|exact_match|0.6571|± |0.0814| | - mmlu_flan_cot_fewshot_professional_law | 0|get-answer| 0|exact_match|0.3294|± |0.0362| | - mmlu_flan_cot_fewshot_world_religions | 0|get-answer| 0|exact_match|0.8947|± |0.0723| | - mmlu_flan_cot_fewshot_other |N/A |get-answer| 0|exact_match|0.6833|± |0.0244| | - mmlu_flan_cot_fewshot_business_ethics | 0|get-answer| 0|exact_match|0.9091|± |0.0909| | - mmlu_flan_cot_fewshot_clinical_knowledge | 0|get-answer| 0|exact_match|0.5862|± |0.0931| | - mmlu_flan_cot_fewshot_college_medicine | 0|get-answer| 0|exact_match|0.6364|± |0.1050| | - mmlu_flan_cot_fewshot_global_facts | 0|get-answer| 0|exact_match|0.6000|± |0.1633| | - mmlu_flan_cot_fewshot_human_aging | 0|get-answer| 0|exact_match|0.6087|± |0.1041| | - mmlu_flan_cot_fewshot_management | 0|get-answer| 0|exact_match|0.9091|± |0.0909| | - mmlu_flan_cot_fewshot_marketing | 0|get-answer| 0|exact_match|0.8000|± |0.0816| | - mmlu_flan_cot_fewshot_medical_genetics | 0|get-answer| 0|exact_match|1.0000|± |0.0000| | - mmlu_flan_cot_fewshot_miscellaneous | 0|get-answer| 0|exact_match|0.8023|± |0.0432| | - mmlu_flan_cot_fewshot_nutrition | 0|get-answer| 0|exact_match|0.6667|± |0.0833| | - mmlu_flan_cot_fewshot_professional_accounting | 0|get-answer| 0|exact_match|0.4839|± |0.0912| | - mmlu_flan_cot_fewshot_professional_medicine | 0|get-answer| 0|exact_match|0.5806|± |0.0901| | - mmlu_flan_cot_fewshot_virology | 0|get-answer| 0|exact_match|0.3889|± |0.1182| | - mmlu_flan_cot_fewshot_social_sciences |N/A |get-answer| 0|exact_match|0.7003|± |0.0239| | - mmlu_flan_cot_fewshot_econometrics | 0|get-answer| 0|exact_match|0.4167|± |0.1486| | - mmlu_flan_cot_fewshot_high_school_geography | 0|get-answer| 0|exact_match|0.9091|± |0.0627| | - mmlu_flan_cot_fewshot_high_school_government_and_politics| 0|get-answer| 0|exact_match|0.8095|± |0.0878| | - mmlu_flan_cot_fewshot_high_school_macroeconomics | 0|get-answer| 0|exact_match|0.6512|± |0.0735| | - mmlu_flan_cot_fewshot_high_school_microeconomics | 0|get-answer| 0|exact_match|0.5769|± |0.0988| | - mmlu_flan_cot_fewshot_high_school_psychology | 0|get-answer| 0|exact_match|0.9000|± |0.0391| | - mmlu_flan_cot_fewshot_human_sexuality | 0|get-answer| 0|exact_match|0.6667|± |0.1421| | - mmlu_flan_cot_fewshot_professional_psychology | 0|get-answer| 0|exact_match|0.6522|± |0.0578| | - mmlu_flan_cot_fewshot_public_relations | 0|get-answer| 0|exact_match|0.5833|± |0.1486| | - mmlu_flan_cot_fewshot_security_studies | 0|get-answer| 0|exact_match|0.4074|± |0.0964| | - mmlu_flan_cot_fewshot_sociology | 0|get-answer| 0|exact_match|0.8182|± |0.0842| | - mmlu_flan_cot_fewshot_us_foreign_policy | 0|get-answer| 0|exact_match|0.7273|± |0.1408| | - mmlu_flan_cot_fewshot_stem |N/A |get-answer| 0|exact_match|0.4866|± |0.0262| | - mmlu_flan_cot_fewshot_abstract_algebra | 0|get-answer| 0|exact_match|0.0909|± |0.0909| | - mmlu_flan_cot_fewshot_anatomy | 0|get-answer| 0|exact_match|0.4286|± |0.1373| | - mmlu_flan_cot_fewshot_astronomy | 0|get-answer| 0|exact_match|0.5625|± |0.1281| | - mmlu_flan_cot_fewshot_college_biology | 0|get-answer| 0|exact_match|0.5000|± |0.1291| | - mmlu_flan_cot_fewshot_college_chemistry | 0|get-answer| 0|exact_match|0.5000|± |0.1890| | - mmlu_flan_cot_fewshot_college_computer_science | 0|get-answer| 0|exact_match|0.2727|± |0.1408| | - mmlu_flan_cot_fewshot_college_mathematics | 0|get-answer| 0|exact_match|0.3636|± |0.1521| | - mmlu_flan_cot_fewshot_college_physics | 0|get-answer| 0|exact_match|0.3636|± |0.1521| | - mmlu_flan_cot_fewshot_computer_security | 0|get-answer| 0|exact_match|0.7273|± |0.1408| | - mmlu_flan_cot_fewshot_conceptual_physics | 0|get-answer| 0|exact_match|0.6538|± |0.0951| | - mmlu_flan_cot_fewshot_electrical_engineering | 0|get-answer| 0|exact_match|0.7500|± |0.1118| | - mmlu_flan_cot_fewshot_elementary_mathematics | 0|get-answer| 0|exact_match|0.7317|± |0.0701| | - mmlu_flan_cot_fewshot_high_school_biology | 0|get-answer| 0|exact_match|0.5938|± |0.0882| | - mmlu_flan_cot_fewshot_high_school_chemistry | 0|get-answer| 0|exact_match|0.3636|± |0.1050| | - mmlu_flan_cot_fewshot_high_school_computer_science | 0|get-answer| 0|exact_match|0.5556|± |0.1757| | - mmlu_flan_cot_fewshot_high_school_mathematics | 0|get-answer| 0|exact_match|0.3103|± |0.0874| | - mmlu_flan_cot_fewshot_high_school_physics | 0|get-answer| 0|exact_match|0.2353|± |0.1060| | - mmlu_flan_cot_fewshot_high_school_statistics | 0|get-answer| 0|exact_match|0.3043|± |0.0981| | - mmlu_flan_cot_fewshot_machine_learning | 0|get-answer| 0|exact_match|0.4545|± |0.1575| | Groups |Version| Filter |n-shot| Metric |Value | |Stderr| |----------------------------------------|-------|----------|-----:|-----------|-----:|---|-----:| |mmlu_flan_cot_fewshot |N/A |get-answer| 0|exact_match|0.5833|± |0.0118| | - mmlu_flan_cot_fewshot_humanities |N/A |get-answer| 0|exact_match|0.5039|± |0.0205| | - mmlu_flan_cot_fewshot_other |N/A |get-answer| 0|exact_match|0.6833|± |0.0244| | - mmlu_flan_cot_fewshot_social_sciences|N/A |get-answer| 0|exact_match|0.7003|± |0.0239| | - mmlu_flan_cot_fewshot_stem |N/A |get-answer| 0|exact_match|0.4866|± |0.0262| ## How to Use ```python from transformers import AutoModelForCausalLM, AutoTokenizer model_name = "Locutusque/Hyperion-3.0-Mistral-7B-DPO" tokenizer = AutoTokenizer.from_pretrained(model_name) model = AutoModelForCausalLM.from_pretrained(model_name) # For a text generation task input_text = "<|im_start|>user\nExplain the implications of quantum entanglement in layman's terms.<|im_end|>\n<|im_start|>assistant\n" input_ids = tokenizer.encode(input_text, return_tensors="pt") # Generate a response outputs = model.generate(input_ids, max_length=200, do_sample=True, top_p=0.7, top_k=6) # These are the recommended sample settings. print(tokenizer.decode(outputs[0], skip_special_tokens=True)) ``` ## Known Limitations While the training data has been carefully curated and optimized, there may still be some inconsistencies or biases present due to the inherent complexity and diversity of the source dataset. Users should be aware of potential limitations and carefully evaluate the model's outputs for their specific use case. Additionally, this model is highly compliant and will attempt to respond to most requests. For enterprise-level deployment, it is strongly recommended to further fine-tune the model using DPO to align its behavior with specific requirements and constraints. ## Licensing Information This model is released under the Apache-2.0 license.