A novel computational fluid dynamics framework for turbulent flow research

Posted by Shantanu Shahane, Software Engineer, and Matthias Ihme, Research Scientist, Athena Team Turbulence is ubiquitous in environmental and engineering fluid flows, and is encountered routinely in everyday life. A better understanding of these turbulent processes could provide valuable insights across a variety of research areas — improving the prediction of cloud formation by atmospheric transport and the spreading of wildfires by turbulent energy exchange, understanding sedimentation of deposits in rivers, and improving the efficiency of combustion in aircraft engines to reduce emissions, to name a few. However, despite its importance, our current understanding and our ability to reliably predict such flows remains limited. This is mainly attributed to the highly chaotic nature and the enormous spatial and temporal scales these fluid flows occupy, ranging from energetic, large-scale movements on the order of several meters on the high-end, where energy is injected into the fluid flow, all the way down to micrometers (μm) on the low-end, where the turbulence is dissipated into heat by viscous friction. A powerful tool to understand these turbulent flows is the direct numerical simulation (DNS), which provides a detailed representation of the unsteady three-dimensional flow-field without making any approximations or simplifications. More specifically, this approach utilizes a discrete grid with small enough grid spacing to capture the underlying continuous equations that govern the dynamics of the system (in this case, variable-density Navier-Stokes equations, which govern all fluid flow dynamics). When the grid spacing is small enough, the discrete grid points are enough to represent the true (continuous) equations without the loss of accuracy. While this is attractive, such simulations require tremendous computational resources in order to capture the correct fluid-flow behaviors across such a wide range of spatial scales. The actual span in spatial resolution to which direct numerical calculations must be applied depends on the task and is determined by the Reynolds number, which compares inertial to viscous forces. Typically, the Reynolds number can range between 102 up to 107 (even larger for atmospheric or interstellar problems). In 3D, the grid size for the resolution required scales roughly with the Reynolds number to the power of 4.5! Because of this strong scaling dependency, simulating such flows is generally limited to flow regimes with moderate Reynolds numbers, and typically requires access to high-performance computing systems with millions of CPU/GPU cores. In “A TensorFlow simulation framework for scientific computing of fluid flows on tensor processing units”, we introduce a new simulation framework that enables the computation of fluid flows with TPUs. By leveraging latest advances on TensorFlow software and TPU-hardware architecture, this software tool allows detailed large-scale simulations of turbulent flows at unprecedented scale, pushing the boundaries of scientific discovery and turbulence analysis. We demonstrate that this framework scales efficiently to accommodate the scale of the problem or, alternatively, improved run times, which is remarkable since most large-scale distributed computation frameworks exhibit reduced efficiency with scaling. The software is available as an open-source project on GitHub. Large-scale scientific computation with accelerators The software solves variable-density Navier-Stokes equations on TPU architectures using the TensorFlow framework. The single-instruction, multiple-data (SIMD) approach is adopted for parallelization of the TPU solver implementation. The finite difference operators on a colocated structured mesh are cast as filters of the convolution function of TensorFlow, leveraging TPU’s matrix multiply unit (MXU). The framework takes advantage of the low-latency high-bandwidth inter-chips interconnect (ICI) between the TPU accelerators. In addition, by leveraging the single-precision floating-point computations and highly optimized executable through the accelerated linear algebra (XLA) compiler, it’s possible to perform large-scale simulations with excellent scaling on TPU hardware architectures. This research effort demonstrates that the graph-based TensorFlow in combination with new types of ML special purpose hardware, can be used as a programming paradigm to solve partial differential equations representing multiphysics flows. The latter is achieved by augmenting the Navier-Stokes equations with physical models to account for chemical reactions, heat-transfer, and density changes to enable, for example, simulations of cloud formation and wildfires. It’s worth noting that this framework is the first open-source computational fluid dynamics (CFD) framework for high-performance, large-scale simulations to fully leverage the cloud accelerators that have become common (and become a commodity) with the advancement of machine learning (ML) in recent years. While our work focuses on using TPU accelerators, the code can be easily adjusted for other accelerators, such as GPU clusters. This framework demonstrates a way to greatly reduce the cost and turn-around time associated with running large-scale scientific CFD simulations and enables even greater iteration speed in fields, such as climate and weather research. Since the framework is implemented using TensorFlow, an ML language, it also enables the ready integration with ML methods and allows the exploration of ML approaches on CFD problems. With the general accessibility of TPU and GPU hardware, this approach lowers the barrier for researchers to contribute to our understanding of large-scale turbulent systems. Framework validation and homogeneous isotropic turbulence Beyond demonstrating the performance and the scaling capabilities, it is also critical to validate the correctness of this framework to ensure that when it is used for CFD problems, we get reasonable results. For this purpose, researchers typically use idealized benchmark problems during CFD solver development, many of which we adopted in our work (more details in the paper). One such benchmark for turbulence analysis is homogeneous isotropic turbulence (HIT), which is a canonical and well studied flow in which the statistical properties, such as kinetic energy, are invariant under translations and rotations of the coordinate axes. By pushing the resolution to the limits of the current state of the art, we were able to perform direct numerical simulations with more than eight billion degrees of freedom — equivalent to a three-dimensional mesh with 2,048 grid points along each of the three directions. We used 512 TPU-v4 cores, distributing the computation of the grid points along the x, y, and z axes to a distribution of [2,2,128] cores, respectively, optimized for the performance on TPU. The wall clock time per timestep was around 425 milliseconds and the flow was simulated for a total of 400,000 timesteps. 50 TB data, which includes the velocity and density fields, is stored for 400 timesteps (every 1,000th step). To our knowledge, this is one of the largest turbulent flow simulations of its kind conducted to date. Due to the complex, chaotic nature of the turbulent flow field, which extends across several magnitudes of resolution, simulating the system in high resolution is necessary. Because we employ a fine-resolution grid with eight billion points, we are able to accurately resolve the field. Contours of x-component of velocity along the z midplane. The high resolution of the simulation is critical to accurately represent the turbulent field. The turbulent kinetic energy and dissipation rates are two statistical quantities commonly used to analyze a turbulent flow. The temporal decay of these properties in a turbulent field without additional energy injection is due to viscous dissipation and the decay asymptotes follow the expected analytical power law. This is in agreement with the theoretical asymptotes and observations reported in the literature and thus, validates our framework. Solid line: Temporal evolution of turbulent kinetic energy (k). Dashed line: Analytical power laws for decaying homogeneous isotropic turbulence (n=1.3) (Ⲧl: eddy turnover time). Solid line: Temporal evolution of dissipation rate (ε). Dashed line: Analytical power laws for decaying homogeneous isotropic turbulence (n=1.3). The energy spectrum of a turbulent flow represents the energy content across wavenumber, where the wavenumber k is proportional to the inverse wavelength λ (i.e., k ∝ 1/λ). Generally, the spectrum can be qualitatively divided into three ranges: source range, inertial range and viscous dissipative range (from left to right on the wavenumber axis, below). The lowest wavenumbers in the source range correspond to the largest turbulent eddies, which have the most energy content. These large eddies transfer energy to turbulence in the intermediate wavenumbers (inertial range), which is statistically isotropic (i.e., essentially uniform in all directions). The smallest eddies, corresponding to the largest wavenumbers, are dissipated into thermal energy by the viscosity of the fluid. By virtue of the fine grid having 2,048 points in each of the three spatial directions, we are able to resolve the flow field up to the length scale at which viscous dissipation takes place. This direct numerical simulation approach is the most accurate as it does not require any closure model to approximate the energy cascade below the grid size. Spectrum of turbulent kinetic energy at different time instances. The spectrum is normalized by the instantaneous integral length (l) and the turbulent kinetic energy (k). A new era for turbulent flows research More recently, we extended this framework to predict wildfires and atmospheric flows, which is relevant for climate-risk assessment. Apart from enabling high-fidelity simulations of complex turbulent flows, this simulation framework also provides capabilities for scientific machine learning (SciML) — for example, downsampling from a fine to a coarse grid (model reduction) or building models that run at lower resolution while still capturing the correct dynamic behaviors. It could also provide avenues for further scientific discovery, such as building ML-based models to better parameterize microphysics of turbulent flows, including physical relationships between temperature, pressure, vapor fraction, etc., and could improve upon various control tasks, e.g., to reduce the energy consumption of buildings or find more efficient propeller shapes. While attractive, a main bottleneck in SciML has been the availability of data for training. To explore this, we have been working with groups at Stanford and Kaggle to make the data from our high-resolution HIT simulation available through a community-hosted web-platform, BLASTNet, to provide broad access to high-fidelity data to the research community via a network-of-datasets approach. We hope that the availability of these emerging high-fidelity simulation tools in conjunction with community-driven datasets will lead to significant advances in various areas of fluid mechanics. Acknowledgements We would like to thank Qing Wang, Yi-Fan Chen, and John Anderson for consulting and advice, Tyler Russell and Carla Bromberg for program management.

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Posted by Shantanu Shahane, Software Engineer, and Matthias Ihme, Research Scientist, Athena Team

Turbulence is ubiquitous in environmental and engineering fluid flows, and is encountered routinely in everyday life. A better understanding of these turbulent processes could provide valuable insights across a variety of research areas — improving the prediction of cloud formation by atmospheric transport and the spreading of wildfires by turbulent energy exchange, understanding sedimentation of deposits in rivers, and improving the efficiency of combustion in aircraft engines to reduce emissions, to name a few. However, despite its importance, our current understanding and our ability to reliably predict such flows remains limited. This is mainly attributed to the highly chaotic nature and the enormous spatial and temporal scales these fluid flows occupy, ranging from energetic, large-scale movements on the order of several meters on the high-end, where energy is injected into the fluid flow, all the way down to micrometers (μm) on the low-end, where the turbulence is dissipated into heat by viscous friction.

A powerful tool to understand these turbulent flows is the direct numerical simulation (DNS), which provides a detailed representation of the unsteady three-dimensional flow-field without making any approximations or simplifications. More specifically, this approach utilizes a discrete grid with small enough grid spacing to capture the underlying continuous equations that govern the dynamics of the system (in this case, variable-density Navier-Stokes equations, which govern all fluid flow dynamics). When the grid spacing is small enough, the discrete grid points are enough to represent the true (continuous) equations without the loss of accuracy. While this is attractive, such simulations require tremendous computational resources in order to capture the correct fluid-flow behaviors across such a wide range of spatial scales.

The actual span in spatial resolution to which direct numerical calculations must be applied depends on the task and is determined by the Reynolds number, which compares inertial to viscous forces. Typically, the Reynolds number can range between 102 up to 107 (even larger for atmospheric or interstellar problems). In 3D, the grid size for the resolution required scales roughly with the Reynolds number to the power of 4.5! Because of this strong scaling dependency, simulating such flows is generally limited to flow regimes with moderate Reynolds numbers, and typically requires access to high-performance computing systems with millions of CPU/GPU cores.

In “A TensorFlow simulation framework for scientific computing of fluid flows on tensor processing units”, we introduce a new simulation framework that enables the computation of fluid flows with TPUs. By leveraging latest advances on TensorFlow software and TPU-hardware architecture, this software tool allows detailed large-scale simulations of turbulent flows at unprecedented scale, pushing the boundaries of scientific discovery and turbulence analysis. We demonstrate that this framework scales efficiently to accommodate the scale of the problem or, alternatively, improved run times, which is remarkable since most large-scale distributed computation frameworks exhibit reduced efficiency with scaling. The software is available as an open-source project on GitHub.

Large-scale scientific computation with accelerators

The software solves variable-density Navier-Stokes equations on TPU architectures using the TensorFlow framework. The single-instruction, multiple-data (SIMD) approach is adopted for parallelization of the TPU solver implementation. The finite difference operators on a colocated structured mesh are cast as filters of the convolution function of TensorFlow, leveraging TPU’s matrix multiply unit (MXU). The framework takes advantage of the low-latency high-bandwidth inter-chips interconnect (ICI) between the TPU accelerators. In addition, by leveraging the single-precision floating-point computations and highly optimized executable through the accelerated linear algebra (XLA) compiler, it’s possible to perform large-scale simulations with excellent scaling on TPU hardware architectures.

This research effort demonstrates that the graph-based TensorFlow in combination with new types of ML special purpose hardware, can be used as a programming paradigm to solve partial differential equations representing multiphysics flows. The latter is achieved by augmenting the Navier-Stokes equations with physical models to account for chemical reactions, heat-transfer, and density changes to enable, for example, simulations of cloud formation and wildfires.

It’s worth noting that this framework is the first open-source computational fluid dynamics (CFD) framework for high-performance, large-scale simulations to fully leverage the cloud accelerators that have become common (and become a commodity) with the advancement of machine learning (ML) in recent years. While our work focuses on using TPU accelerators, the code can be easily adjusted for other accelerators, such as GPU clusters.

This framework demonstrates a way to greatly reduce the cost and turn-around time associated with running large-scale scientific CFD simulations and enables even greater iteration speed in fields, such as climate and weather research. Since the framework is implemented using TensorFlow, an ML language, it also enables the ready integration with ML methods and allows the exploration of ML approaches on CFD problems. With the general accessibility of TPU and GPU hardware, this approach lowers the barrier for researchers to contribute to our understanding of large-scale turbulent systems.

Framework validation and homogeneous isotropic turbulence

Beyond demonstrating the performance and the scaling capabilities, it is also critical to validate the correctness of this framework to ensure that when it is used for CFD problems, we get reasonable results. For this purpose, researchers typically use idealized benchmark problems during CFD solver development, many of which we adopted in our work (more details in the paper).

One such benchmark for turbulence analysis is homogeneous isotropic turbulence (HIT), which is a canonical and well studied flow in which the statistical properties, such as kinetic energy, are invariant under translations and rotations of the coordinate axes. By pushing the resolution to the limits of the current state of the art, we were able to perform direct numerical simulations with more than eight billion degrees of freedom — equivalent to a three-dimensional mesh with 2,048 grid points along each of the three directions. We used 512 TPU-v4 cores, distributing the computation of the grid points along the x, y, and z axes to a distribution of [2,2,128] cores, respectively, optimized for the performance on TPU. The wall clock time per timestep was around 425 milliseconds and the flow was simulated for a total of 400,000 timesteps. 50 TB data, which includes the velocity and density fields, is stored for 400 timesteps (every 1,000th step). To our knowledge, this is one of the largest turbulent flow simulations of its kind conducted to date.

Due to the complex, chaotic nature of the turbulent flow field, which extends across several magnitudes of resolution, simulating the system in high resolution is necessary. Because we employ a fine-resolution grid with eight billion points, we are able to accurately resolve the field.

Contours of x-component of velocity along the z midplane. The high resolution of the simulation is critical to accurately represent the turbulent field.

The turbulent kinetic energy and dissipation rates are two statistical quantities commonly used to analyze a turbulent flow. The temporal decay of these properties in a turbulent field without additional energy injection is due to viscous dissipation and the decay asymptotes follow the expected analytical power law. This is in agreement with the theoretical asymptotes and observations reported in the literature and thus, validates our framework.

Solid line: Temporal evolution of turbulent kinetic energy (k). Dashed line: Analytical power laws for decaying homogeneous isotropic turbulence (n=1.3) (Ⲧl: eddy turnover time).
Solid line: Temporal evolution of dissipation rate (ε). Dashed line: Analytical power laws for decaying homogeneous isotropic turbulence (n=1.3).

The energy spectrum of a turbulent flow represents the energy content across wavenumber, where the wavenumber k is proportional to the inverse wavelength λ (i.e., k ∝ 1/λ). Generally, the spectrum can be qualitatively divided into three ranges: source range, inertial range and viscous dissipative range (from left to right on the wavenumber axis, below). The lowest wavenumbers in the source range correspond to the largest turbulent eddies, which have the most energy content. These large eddies transfer energy to turbulence in the intermediate wavenumbers (inertial range), which is statistically isotropic (i.e., essentially uniform in all directions). The smallest eddies, corresponding to the largest wavenumbers, are dissipated into thermal energy by the viscosity of the fluid. By virtue of the fine grid having 2,048 points in each of the three spatial directions, we are able to resolve the flow field up to the length scale at which viscous dissipation takes place. This direct numerical simulation approach is the most accurate as it does not require any closure model to approximate the energy cascade below the grid size.

Spectrum of turbulent kinetic energy at different time instances. The spectrum is normalized by the instantaneous integral length (l) and the turbulent kinetic energy (k).

A new era for turbulent flows research

More recently, we extended this framework to predict wildfires and atmospheric flows, which is relevant for climate-risk assessment. Apart from enabling high-fidelity simulations of complex turbulent flows, this simulation framework also provides capabilities for scientific machine learning (SciML) — for example, downsampling from a fine to a coarse grid (model reduction) or building models that run at lower resolution while still capturing the correct dynamic behaviors. It could also provide avenues for further scientific discovery, such as building ML-based models to better parameterize microphysics of turbulent flows, including physical relationships between temperature, pressure, vapor fraction, etc., and could improve upon various control tasks, e.g., to reduce the energy consumption of buildings or find more efficient propeller shapes. While attractive, a main bottleneck in SciML has been the availability of data for training. To explore this, we have been working with groups at Stanford and Kaggle to make the data from our high-resolution HIT simulation available through a community-hosted web-platform, BLASTNet, to provide broad access to high-fidelity data to the research community via a network-of-datasets approach. We hope that the availability of these emerging high-fidelity simulation tools in conjunction with community-driven datasets will lead to significant advances in various areas of fluid mechanics.

Acknowledgements

We would like to thank Qing Wang, Yi-Fan Chen, and John Anderson for consulting and advice, Tyler Russell and Carla Bromberg for program management.

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Distilling step-by-step: Outperforming larger language models with less training data and smaller model sizes

Posted by Cheng-Yu Hsieh, Student Researcher, and Chen-Yu Lee, Research Scientist, Cloud AI Team

Large language models (LLMs) have enabled a new data-efficient learning paradigm wherein they can be used to solve unseen new tasks via zero-shot or few-shot prompting. However, LLMs are challenging to deploy for real-world applications due to their sheer size. For instance, serving a single 175 billion LLM requires at least 350GB of GPU memory using specialized infrastructure, not to mention that today’s state-of-the-art LLMs are composed of over 500 billion parameters. Such computational requirements are inaccessible for many research teams, especially for applications that require low latency performance.

To circumvent these deployment challenges, practitioners often choose to deploy smaller specialized models instead. These smaller models are trained using one of two common paradigms: fine-tuning or distillation. Fine-tuning updates a pre-trained smaller model (e.g., BERT or T5) using downstream manually-annotated data. Distillation trains the same smaller models with labels generated by a larger LLM. Unfortunately, to achieve comparable performance to LLMs, fine-tuning methods require human-generated labels, which are expensive and tedious to obtain, while distillation requires large amounts of unlabeled data, which can also be hard to collect.

In “Distilling Step-by-Step! Outperforming Larger Language Models with Less Training Data and Smaller Model Sizes”, presented at ACL2023, we set out to tackle this trade-off between model size and training data collection cost. We introduce distilling step-by-step, a new simple mechanism that allows us to train smaller task-specific models with much less training data than required by standard fine-tuning or distillation approaches that outperform few-shot prompted LLMs’ performance. We demonstrate that the distilling step-by-step mechanism enables a 770M parameter T5 model to outperform the few-shot prompted 540B PaLM model using only 80% of examples in a benchmark dataset, which demonstrates a more than 700x model size reduction with much less training data required by standard approaches.

While LLMs offer strong zero and few-shot performance, they are challenging to serve in practice. On the other hand, traditional ways of training small task-specific models require a large amount of training data. Distilling step-by-step provides a new paradigm that reduces both the deployed model size as well as the number of data required for training.

Distilling step-by-step

The key idea of distilling step-by-step is to extract informative natural language rationales (i.e., intermediate reasoning steps) from LLMs, which can in turn be used to train small models in a more data-efficient way. Specifically, natural language rationales explain the connections between the input questions and their corresponding outputs. For example, when asked, “Jesse’s room is 11 feet long and 15 feet wide. If she already has 16 square feet of carpet, how much more carpet does she need to cover the whole floor?”, an LLM can be prompted by the few-shot chain-of-thought (CoT) prompting technique to provide intermediate rationales, such as, “Area = length * width. Jesse’s room has 11 * 15 square feet.” That better explains the connection from the input to the final answer, “(11 * 15 ) – 16”. These rationales can contain relevant task knowledge, such as “Area = length * width”, that may originally require many data for small models to learn. We utilize these extracted rationales as additional, richer supervision to train small models, in addition to the standard task labels.

Overview on distilling step-by-step: First, we utilize CoT prompting to extract rationales from an LLM. We then use the generated rationales to train small task-specific models within a multi-task learning framework, where we prepend task prefixes to the input examples and train the model to output differently based on the given task prefix.

Distilling step-by-step consists of two main stages. In the first stage, we leverage few-shot CoT prompting to extract rationales from LLMs. Specifically, given a task, we prepare few-shot exemplars in the LLM input prompt where each example is composed of a triplet containing: (1) input, (2) rationale, and (3) output. Given the prompt, an LLM is able to mimic the triplet demonstration to generate the rationale for any new input. For instance, in a commonsense question answering task, given the input question “Sammy wanted to go to where the people are. Where might he go? Answer Choices: (a) populated areas, (b) race track, (c) desert, (d) apartment, (e) roadblock”, distilling step-by-step provides the correct answer to the question, “(a) populated areas”, paired with the rationale that provides better connection from the question to the answer, “The answer must be a place with a lot of people. Of the above choices, only populated areas have a lot of people.” By providing CoT examples paired with rationales in the prompt, the in-context learning ability allows LLMs to output corresponding rationales for future unseen inputs.

We use the few-shot CoT prompting, which contains both an example rationale (highlighted in green) and a label (highlighted in blue), to elicit rationales from an LLM on new input examples. The example is from a commonsense question answering task.

After the rationales are extracted, in the second stage, we incorporate the rationales in training small models by framing the training process as a multi-task problem. Specifically, we train the small model with a novel rationale generation task in addition to the standard label prediction task. The rationale generation task enables the model to learn to generate the intermediate reasoning steps for the prediction, and guides the model to better predict the resultant label. We prepend task prefixes (i.e., [label] and [rationale] for label prediction and rationale generation, respectively) to the input examples for the model to differentiate the two tasks.

Experimental setup

In the experiments, we consider a 540B PaLM model as the LLM. For task-specific downstream models, we use T5 models. For CoT prompting, we use the original CoT prompts when available and curate our own examples for new datasets. We conduct the experiments on four benchmark datasets across three different NLP tasks: e-SNLI and ANLI for natural language inference; CQA for commonsense question answering; and SVAMP for arithmetic math word problems. We include two sets of baseline methods. For comparison to few-shot prompted LLMs, we compare to few-shot CoT prompting with a 540B PaLM model. In the paper, we also compare standard task-specific model training to both standard fine-tuning and standard distillation. In this blogpost, we will focus on the comparisons to standard fine-tuning for illustration purposes.

Less training data

Compared to standard fine-tuning, the distilling step-by-step method achieves better performance using much less training data. For instance, on the e-SNLI dataset, we achieve better performance than standard fine-tuning when using only 12.5% of the full dataset (shown in the upper left quadrant below). Similarly, we achieve a dataset size reduction of 75%, 25% and 20% on ANLI, CQA, and SVAMP.

Distilling step-by-step compared to standard fine-tuning using 220M T5 models on varying sizes of human-labeled datasets. On all datasets, distilling step-by-step is able to outperform standard fine-tuning, trained on the full dataset, by using much less training examples.

Smaller deployed model size

Compared to few-shot CoT prompted LLMs, distilling step-by-step achieves better performance using much smaller model sizes. For instance, on the e-SNLI dataset, we achieve better performance than 540B PaLM by using a 220M T5 model. On ANLI, we achieve better performance than 540B PaLM by using a 770M T5 model, which is over 700X smaller. Note that on ANLI, the same 770M T5 model struggles to match PaLM’s performance using standard fine-tuning.

We perform distilling step-by-step and standard fine-tuning on varying sizes of T5 models and compare their performance to LLM baselines, i.e., Few-shot CoT and PINTO Tuning. Distilling step-by-step is able to outperform LLM baselines by using much smaller models, e.g., over 700× smaller models on ANLI. Standard fine-tuning fails to match LLM’s performance using the same model size.

Distilling step-by-step outperforms few-shot LLMs with smaller models using less data

Finally, we explore the smallest model sizes and the least amount of data for distilling step-by-step to outperform PaLM’s few-shot performance. For instance, on ANLI, we surpass the performance of the 540B PaLM using a 770M T5 model. This smaller model only uses 80% of the full dataset. Meanwhile, we observe that standard fine-tuning cannot catch up with PaLM’s performance even using 100% of the full dataset. This suggests that distilling step-by-step simultaneously reduces the model size as well as the amount of data required to outperform LLMs.

We show the minimum size of T5 models and the least amount of human-labeled examples required for distilling step-by-step to outperform LLM’s few-shot CoT by a coarse-grained search. Distilling step-by-step is able to outperform few-shot CoT using not only much smaller models, but it also achieves so with much less training examples compared to standard fine-tuning.

Conclusion

We propose distilling step-by-step, a novel mechanism that extracts rationales from LLMs as informative supervision in training small, task-specific models. We show that distilling step-by-step reduces both the training dataset required to curate task-specific smaller models and the model size required to achieve, and even surpass, a few-shot prompted LLM’s performance. Overall, distilling step-by-step presents a resource-efficient paradigm that tackles the trade-off between model size and training data required.

Availability on Google Cloud Platform

Distilling step-by-step is available for private preview on Vertex AI. If you are interested in trying it out, please contact vertex-llm-tuning-preview@google.com with your Google Cloud Project number and a summary of your use case.

Acknowledgements

This research was conducted by Cheng-Yu Hsieh, Chun-Liang Li, Chih-Kuan Yeh, Hootan Nakhost, Yasuhisa Fujii, Alexander Ratner, Ranjay Krishna, Chen-Yu Lee, and Tomas Pfister. Thanks to Xiang Zhang and Sergey Ioffe for their valuable feedback.

douglas.campbell@wellstar360.com September 21, 2023

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