2024 In context learning

fully apply in-context learning for DST, build-ing on a text-to-SQL approach. • To extend in-context learning to dialogues, we introduce an efﬁcient representation for the dialogue history and a new objective for dialogue retriever design. •Our system achieves a new state of the art on MultiWOZ in zero/few-shot settings.. Energy drinks

At test time, in-context learning occurs when the LM also infers a shared latent concept between examples in a prompt. We prove when this occurs despite a distribution mismatch between prompts and pretraining data in a setting where the pretraining distribution is a mixture of HMMs.May 28, 2021 · What is in-context learning? Informally, in-context learning describes a different paradigm of “learning” where the model is fed input normally as if it were a black box, and the input to the model describes a new task with some possible examples while the resulting output of the model reflects that new task as if the model had “learned”. More Efficient In-Context Learning with GLaM. Thursday, December 09, 2021. Posted by Andrew M Dai and Nan Du, Research Scientists, Google Research, Brain Team. Large language models (e.g., GPT-3) have many significant capabilities, such as performing few-shot learning across a wide array of tasks, including reading comprehension and question ...At present, the mechanisms of in-context learning in Transformers are not well understood and remain mostly an intuition. In this paper, we suggest that training Transformers on auto-regressive objectives is closely related to gradient-based meta-learning formulations. We start by providing a simple weight construction that shows the equivalence of data transformations induced by 1) a single ...in-context learning, where the model learns to do a downstream task simply by conditioning on a prompt consisting of input-output examples. The LM learns from these examples without being explicitly pretrained to learn. Thus, it is unclear what enables in-context learning. In this paper, we study how in-context learningAug 1, 2022 · In-context learning refers to the ability of a model to condition on a prompt sequence consisting of in-context examples (input-output pairs corresponding to some task) along with a new query input, and generate the corresponding output. Crucially, in-context learning happens only at inference time without any parameter updates to the model. While large language models such as GPT-3 exhibit ... Dec 20, 2022 · Large pretrained language models have shown surprising in-context learning (ICL) ability. With a few demonstration input-label pairs, they can predict the label for an unseen input without parameter updates. Despite the great success in performance, its working mechanism still remains an open question. In this paper, we explain language models as meta-optimizers and understand in-context ... plexity) and in-context learning does not al-ways correlate: e.g., low perplexity does not al-ways imply high in-context few-shot learning performance. 1 Introduction NLP community has been surprised by emergence of in-context learning ability of a large-scale lan-guage model (LM) such as GPT-3 (Brown et al.,Jun 28, 2021 · In-context learning: a new form of meta-learning. I attribute GPT-3’s success to two model designs at the beginning of this post: prompts and demonstrations (or in-context learning), but I haven’t talked about in-context learning until this section. Since GPT-3’s parameters are not fine-tuned on downstream tasks, it has to “learn” new ... In-context learning: a new form of meta-learning. I attribute GPT-3’s success to two model designs at the beginning of this post: prompts and demonstrations (or in-context learning), but I haven’t talked about in-context learning until this section. Since GPT-3’s parameters are not fine-tuned on downstream tasks, it has to “learn” new ...⭐️ Shining ⭐️: This is fresh, daily-updated resources for in-context learning and prompt engineering. As Artificial General Intelligence (AGI) is approaching, let’s take action and become a super learner so as to position ourselves at the forefront of this exciting era and strive for personal and professional greatness.The key idea of in-context learning is to learn from analogy. Figure1gives an example describ- ing how language models make decisions with ICL. First, ICL requires a few examples to form a demon- stration context. These examples are usually writ- ten in natural language templates. In-context learning is a unique way for language models to learn and perform tasks by only looking at examples of inputs and outputs without making any changes to their internal workings. It is related to the process in that the language model discovers hidden concepts from the data it was previously trained on. And even when the outputs are ...At test time, in-context learning occurs when the LM also infers a shared latent concept between examples in a prompt. We prove when this occurs despite a distribution mismatch between prompts and pretraining data in a setting where the pretraining distribution is a mixture of HMMs.In-context learning is an emerging approach that combines pre-training and fine-tuning while incorporating task-specific instructions or prompts during the training process. Models learn to ...of in-context learning (ICL), it remains a com-mon practice to randomly select examples to serveasthecontext. Inthispaper,weadvocate self-adaptive in-context learning, a new princi-ple for ICL, in which the self-adaption mech-anism is introduced to help each input nd an in-context example organization (i.e., selec-LMs with the few-shot in-context learning objec-tive (Brown et al.,2020): task-agnostic LMs are meta-trained to perform few-shot in-context learn-ing on a wide variety of training tasks. Similar to in-context learning, LMs trained with in-context tuning adapt to a new task by using few-shot train-ing examples as the input prex. 2.1 GPT- 3 for In-Context Learning The in-context learning scenario of GPT- 3 can be regarded as a conditional text generation problem. Concretely, the probability of generating a target y is conditioned on the context C , which includes k examples, and the source x . Therefore, the proba-bility can be expressed as: pLM (y jC;x ) = YT t=1 p ...in-context learning, where the model learns to do a downstream task simply by conditioning on a prompt consisting of input-output examples. The LM learns from these examples without being explicitly pretrained to learn. Thus, it is unclear what enables in-context learning. In this paper, we study how in-context learning In this paper, we study (1) how labels of in-context examples affect predictions, (2) how label relationships learned during pre-training interact with input-label examples provided in-context, and (3) how ICL aggregates label information across in-context examples.At test time, in-context learning occurs when the LM also infers a shared latent concept between examples in a prompt. We prove when this occurs despite a distribution mismatch between prompts and pretraining data in a setting where the pretraining distribution is a mixture of HMMs.You signed in with another tab or window. Reload to refresh your session. You signed out in another tab or window. Reload to refresh your session. You switched accounts on another tab or window.experience, and response). The mind naturally seeks meaning in context by searching for relationships that make sense and appear useful. Building upon this understanding, contextual learning theory focuses on the multiple aspects of any learning environment, whether a classroom, a laboratory, a computer lab, or a worksite.Neural sequence models, especially transformers, exhibit a remarkable capacity for in-context learning. They can construct new predictors from sequences of labeled examples $(x, f(x))$ presented in the input without further parameter updates. We investigate the hypothesis that transformer-based in-context learners implement standard learning algorithms implicitly, by encoding smaller models in ...rameters).Brown et al.(2020) propose in-context learning as an alternative way to learn a new task. As depicted in Figure2, the LM learns a new task via inference alone by conditioning on a concatena-tion of the training data as demonstrations, without any gradient updates. In-context learning has been the focus of signif-Few-shot in-context learning: (1) The prompt includes examples of the intended behavior, and (2) no examples of the intended behavior were seen in training. É We are unlikely to be able to verify (2). É “Few-shot” is also used in supervised learning with the sense of “training on few examples”. The above is different.Figure 1.2: Larger models make increasingly efﬁcient use of in-context information. We show in-context learning performance on a simple task requiring the model to remove random symbols from a word, both with and without a natural language task description (see Sec.3.9.2). The steeper “in-context learning curves” for large models demonstrateApr 10, 2023 · In Context Learning (ICL) is an ability to learn the context of the input and apply it to generate the correct output. Working with ChatGPT this means that you can provide a body of text as part ... rameters).Brown et al.(2020) propose in-context learning as an alternative way to learn a new task. As depicted in Figure2, the LM learns a new task via inference alone by conditioning on a concatena-tion of the training data as demonstrations, without any gradient updates. In-context learning has been the focus of signif- LMs with the few-shot in-context learning objec-tive (Brown et al.,2020): task-agnostic LMs are meta-trained to perform few-shot in-context learn-ing on a wide variety of training tasks. Similar to in-context learning, LMs trained with in-context tuning adapt to a new task by using few-shot train-ing examples as the input prex. May 28, 2021 · What is in-context learning? Informally, in-context learning describes a different paradigm of “learning” where the model is fed input normally as if it were a black box, and the input to the model describes a new task with some possible examples while the resulting output of the model reflects that new task as if the model had “learned”. Dec 27, 2022 · In-Context Learning（ICL）在大型预训练语言模型上取得了巨大的成功，但其工作机制仍然是一个悬而未决的问题。本文中，来自北大、清华、微软的研究者将 ICL 理解为一种隐式微调，并提供了经验性证据来证明 ICL 和显式微调在多个层面上表现相似。 GitHub - Shark-NLP/OpenICL: OpenICL is an open-source ...In-context learning refers to the ability of a model to condition on a prompt sequence consisting of in-context examples (input-output pairs corresponding to some task) along with a new query input, and generate the corresponding output. Crucially, in-context learning happens only at inference time without any parameter updates to the model. While large language models such as GPT-3 exhibit ...LMs with the few-shot in-context learning objec-tive (Brown et al.,2020): task-agnostic LMs are meta-trained to perform few-shot in-context learn-ing on a wide variety of training tasks. Similar to in-context learning, LMs trained with in-context tuning adapt to a new task by using few-shot train-ing examples as the input prex.In-context learning refers to the ability of a model to condition on a prompt sequence consisting of in-context examples (input-output pairs corresponding to some task) along with a new query input, and generate the corresponding output. Crucially, in-context learning happens only at inference time without any parameter updates to the model.Prompt engineering is enabled by in-context learning, defined as a model's ability to temporarily learn from prompts. The ability for in-context learning is an emergent ability of large language models. A prompt is natural language text describing the task that an AI should perform.Jan 30, 2023 · In-context learning works like implicit finetuning at inference time. Both processes perform gradient descent, “the only difference is that ICL produces meta-gradients by forward computation while finetuning acquires real gradients by back-propagation.” Oct 25, 2022 · Algorithm Distillation treats learning to reinforcement learn as an across-episode sequential prediction problem. A dataset of learning histories is generated by a source RL algorithm, and then a causal transformer is trained by autoregressively predicting actions given their preceding learning histories as context. plexity) and in-context learning does not al-ways correlate: e.g., low perplexity does not al-ways imply high in-context few-shot learning performance. 1 Introduction NLP community has been surprised by emergence of in-context learning ability of a large-scale lan-guage model (LM) such as GPT-3 (Brown et al.,GitHub - Shark-NLP/OpenICL: OpenICL is an open-source ... Jun 28, 2021 · In-context learning: a new form of meta-learning. I attribute GPT-3’s success to two model designs at the beginning of this post: prompts and demonstrations (or in-context learning), but I haven’t talked about in-context learning until this section. Since GPT-3’s parameters are not fine-tuned on downstream tasks, it has to “learn” new ... A Survey on In-context Learning. With the increasing ability of large language models (LLMs), in-context learning (ICL) has become a new paradigm for natural language processing (NLP), where LLMs make predictions only based on contexts augmented with a few examples.Large language models (LLMs) have shown increasing in-context learning capabilities through scaling up model and data size. Despite this progress, LLMs are still unable to solve algorithmic reasoning problems. While providing a rationale with the final answer has led to further improvements in multi-step reasoning problems, Anil et al. 2022 showed that even simple algorithmic reasoning tasks ...Abstract. GPT-3 has attracted lots of attention due to its superior performance across a wide range of NLP tasks, especially with its in-context learning abilities. Despite its success, we found that the empirical results of GPT-3 depend heavily on the choice of in-context examples. In this work, we investigate whether there are more effective ...Large pretrained language models have shown surprising in-context learning (ICL) ability. With a few demonstration input-label pairs, they can predict the label for an unseen input without parameter updates. Despite the great success in performance, its working mechanism still remains an open question. In this paper, we explain language models as meta-optimizers and understand in-context ...Jan 30, 2023 · In-context learning works like implicit finetuning at inference time. Both processes perform gradient descent, “the only difference is that ICL produces meta-gradients by forward computation while finetuning acquires real gradients by back-propagation.” Sep 3, 2023 · Abstract The goal of meta-learning is to learn to adapt to a new task with only a few labeled examples. Inspired by the recent progress in large language models, we propose in-context tuning (ICT), which recasts task adaptation and prediction as a simple sequence prediction problem: to form the input sequence, we concatenate the task instruction, labeled in-context examples, and the target ... Jul 17, 2022 · "Neural network parameters can be thought of as compiled computer programs. Somehow, they encode sophisticated algorithms, capable of things no human knows h... Another type of in-context learning happens via “chain of thought” prompting, which means asking the network to spell out each step of its reasoning—a tactic that makes it do better at logic ...Algorithm Distillation treats learning to reinforcement learn as an across-episode sequential prediction problem. A dataset of learning histories is generated by a source RL algorithm, and then a causal transformer is trained by autoregressively predicting actions given their preceding learning histories as context.OpenICL [ pdf ], [ project ], 2022.03. OpenICL provides an easy interface for in-context learning, with many state-of-the-art retrieval and inference methods built in to facilitate systematic comparison of LMs and fast research prototyping. Users can easily incorporate different retrieval and inference methods, as well as different prompt ...At test time, in-context learning occurs when the LM also infers a shared latent concept between examples in a prompt. We prove when this occurs despite a distribution mismatch between prompts and pretraining data in a setting where the pretraining distribution is a mixture of HMMs.In this work, we propose an efficient method for retrieving prompts for in-context learning using annotated data and an LM. Given an input-output pair, we estimate the probability of the output given the input and a candidate training example as the prompt, and label training examples as positive or negative based on this probability.Active Example Selection for In-Context Learning. Yiming Zhang, Shi Feng, Chenhao Tan. With a handful of demonstration examples, large-scale language models show strong capability to perform various tasks by in-context learning from these examples, without any fine-tuning. We demonstrate that in-context learning performance can be highly ...Sep 3, 2023 · Abstract The goal of meta-learning is to learn to adapt to a new task with only a few labeled examples. Inspired by the recent progress in large language models, we propose in-context tuning (ICT), which recasts task adaptation and prediction as a simple sequence prediction problem: to form the input sequence, we concatenate the task instruction, labeled in-context examples, and the target ... Few-shot fine-tuning and in-context learning are two alternative strategies for task adaptation of pre-trained language models. Recently, in-context learning has gained popularity over fine-tuning due to its simplicity and improved out-of-domain generalization, and because extensive evidence shows that fine-tuned models pick up on spurious correlations. Unfortunately, previous comparisons of ...exhibit in-context learning. We verify intuitions from the theory, showing that the accuracy of in-context learning improves with the number of examples and example length. Ablations of the GINC dataset show that the latent concept structure in the pretraining distribution is crucial to the emergence of in-context learning.A Survey on In-context Learning. With the increasing ability of large language models (LLMs), in-context learning (ICL) has become a new paradigm for natural language processing (NLP), where LLMs make predictions only based on contexts augmented with a few examples.plexity) and in-context learning does not al-ways correlate: e.g., low perplexity does not al-ways imply high in-context few-shot learning performance. 1 Introduction NLP community has been surprised by emergence of in-context learning ability of a large-scale lan-guage model (LM) such as GPT-3 (Brown et al., May 23, 2023 · Active Learning Principles for In-Context Learning with Large Language Models. Katerina Margatina, Timo Schick, Nikolaos Aletras, Jane Dwivedi-Yu. The remarkable advancements in large language models (LLMs) have significantly enhanced the performance in few-shot learning settings. By using only a small number of labeled examples, referred to as ... experience, and response). The mind naturally seeks meaning in context by searching for relationships that make sense and appear useful. Building upon this understanding, contextual learning theory focuses on the multiple aspects of any learning environment, whether a classroom, a laboratory, a computer lab, or a worksite.The Global NLP Lab. Jan 8. 1. In-context learning (ICL) is an exciting new paradigm in NLP where large language models (LLMs) make predictions based on contexts augmented with just a few training examples. LLMs are able to extract patterns from the examples provided in the context, and use them to perform many complex NLP tasks.fully apply in-context learning for DST, build-ing on a text-to-SQL approach. • To extend in-context learning to dialogues, we introduce an efﬁcient representation for the dialogue history and a new objective for dialogue retriever design. •Our system achieves a new state of the art on MultiWOZ in zero/few-shot settings. exhibit in-context learning. We verify intuitions from the theory, showing that the accuracy of in-context learning improves with the number of examples and example length. Ablations of the GINC dataset show that the latent concept structure in the pretraining distribution is crucial to the emergence of in-context learning. More Efficient In-Context Learning with GLaM. Thursday, December 09, 2021. Posted by Andrew M Dai and Nan Du, Research Scientists, Google Research, Brain Team. Large language models (e.g., GPT-3) have many significant capabilities, such as performing few-shot learning across a wide array of tasks, including reading comprehension and question ...rameters).Brown et al.(2020) propose in-context learning as an alternative way to learn a new task. As depicted in Figure2, the LM learns a new task via inference alone by conditioning on a concatena-tion of the training data as demonstrations, without any gradient updates. In-context learning has been the focus of signif- ⭐️ Shining ⭐️: This is fresh, daily-updated resources for in-context learning and prompt engineering. As Artificial General Intelligence (AGI) is approaching, let’s take action and become a super learner so as to position ourselves at the forefront of this exciting era and strive for personal and professional greatness. Sep 3, 2023 · Abstract The goal of meta-learning is to learn to adapt to a new task with only a few labeled examples. Inspired by the recent progress in large language models, we propose in-context tuning (ICT), which recasts task adaptation and prediction as a simple sequence prediction problem: to form the input sequence, we concatenate the task instruction, labeled in-context examples, and the target ... You signed in with another tab or window. Reload to refresh your session. You signed out in another tab or window. Reload to refresh your session. You switched accounts on another tab or window.Jan 31, 2023 · In this paper, the main focus is on an emergent ability in large vision models, known as in-context learning, which allows inference on unseen tasks by conditioning on in-context examples (a.k.a.~prompt) without updating the model parameters. This concept has been well-known in natural language processing but has only been studied very recently ... But with in-context learning, the system can learn to reliably perform new tasks from only a few examples, essentially picking up new skills on the fly. Once given a prompt, a language model can ...In-context learning refers to the ability of a model to condition on a prompt sequence consisting of in-context examples (input-output pairs corresponding to some task) along with a new query input, and generate the corresponding output. Crucially, in-context learning happens only at inference time without any parameter updates to the model.in-context examples, e.g., the supervised method performs the best and often ﬁnds examples that are both semantically close and spatially similar to a query. 2. Methods 2.1. Visual In-Context Learning In-context learning is a new paradigm that originally emerged from large autoregressive language models pre- Feb 27, 2023 · In-context learning is a new learning paradigm where a language model observes a few examples and then straightly outputs the test input's prediction. Previous works have shown that in-context learning is sensitive to the provided examples and randomly sampled examples show significantly unstable performance. In this paper, we propose to find ``supporting examples'' for in-context learning ... Principle 4: Interactive learning: more than teamwork makes the dream work. Putting learning in context can make the learning experience more engaging and internally motivating for the student. This in turn can connect the learning experience more closely to life outside the classroom, thus making it relevant and memorable and reducing ...Inspired by in-context learning (ICL), a new paradigm based on demonstration contexts without parameter updating, we explore whether ICL can edit factual knowledge. To answer this question, we give a comprehensive empirical study of ICL strategies. Experiments show that in-context knowledge editing (IKE), without any gradient and parameter ...1 day ago · Abstract. We introduce MetaICL (Meta-training for In-Context Learning), a new meta-training framework for few-shot learning where a pretrained language model is tuned to do in-context learning on a large set of training tasks. This meta-training enables the model to more effectively learn a new task in context at test time, by simply ... plexity) and in-context learning does not al-ways correlate: e.g., low perplexity does not al-ways imply high in-context few-shot learning performance. 1 Introduction NLP community has been surprised by emergence of in-context learning ability of a large-scale lan-guage model (LM) such as GPT-3 (Brown et al.,In-Context Learning（ICL）在大型预训练语言模型上取得了巨大的成功，但其工作机制仍然是一个悬而未决的问题。本文中，来自北大、清华、微软的研究者将 ICL 理解为一种隐式微调，并提供了经验性证据来证明 ICL 和显式微调在多个层面上表现相似。Feb 27, 2023 · In-context learning is a new learning paradigm where a language model observes a few examples and then straightly outputs the test input's prediction. Previous works have shown that in-context learning is sensitive to the provided examples and randomly sampled examples show significantly unstable performance. In this paper, we propose to find ``supporting examples'' for in-context learning ... Figure 1.2: Larger models make increasingly efﬁcient use of in-context information. We show in-context learning performance on a simple task requiring the model to remove random symbols from a word, both with and without a natural language task description (see Sec.3.9.2). The steeper “in-context learning curves” for large models demonstratePrompt engineering is enabled by in-context learning, defined as a model's ability to temporarily learn from prompts. The ability for in-context learning is an emergent ability of large language models. A prompt is natural language text describing the task that an AI should perform.in-context examples, e.g., the supervised method performs the best and often ﬁnds examples that are both semantically close and spatially similar to a query. 2. Methods 2.1. Visual In-Context Learning In-context learning is a new paradigm that originally emerged from large autoregressive language models pre-rameters).Brown et al.(2020) propose in-context learning as an alternative way to learn a new task. As depicted in Figure2, the LM learns a new task via inference alone by conditioning on a concatena-tion of the training data as demonstrations, without any gradient updates. In-context learning has been the focus of signif-What is in-context learning? In-context learning was popularized in the original GPT-3 paper as a way to use language models to learn tasks given only a few examples. [1] During in-context learning, we give the LM a prompt that consists of a list of input-output pairs that demonstrate a task.

Nov 3, 2021 · Large language models (LMs) such as GPT-3 have the surprising ability to do in-context learning, where the model learns to do a downstream task simply by conditioning on a prompt consisting of input-output examples. The LM learns from these examples without being explicitly pretrained to learn. Thus, it is unclear what enables in-context learning. In this paper, we study how in-context ... . Dollar500 down car lots in tupelo ms

%0 Conference Proceedings %T Active Example Selection for In-Context Learning %A Zhang, Yiming %A Feng, Shi %A Tan, Chenhao %S Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing %D 2022 %8 December %I Association for Computational Linguistics %C Abu Dhabi, United Arab Emirates %F zhang-etal-2022-active %X With a handful of demonstration examples, large ...led to in-context learning, a new paradigm in natu-ral language understanding. Under this paradigm, a language model is given a prompt, which typi-cally contains a few training examples, as well as a test instance as input, and generates the output for the test instance directly, without any update to its parameters. This approach was rst ...context learning with a language model. Three in-context examples and the test prompt are concatenated as a single string input for GPT-3, with a special charac-ter ”nn” inserted between two adjacent examples. GPT-3 keeps generating tokens until there is a special char-acter ”nn”. 2 Method 2.1 GPT-3 for In-Context LearningThe Global NLP Lab. Jan 8. 1. In-context learning (ICL) is an exciting new paradigm in NLP where large language models (LLMs) make predictions based on contexts augmented with just a few training examples. LLMs are able to extract patterns from the examples provided in the context, and use them to perform many complex NLP tasks.In context learningというのは、ある意味GPTの個性そのもので、今の時点での実用面での可能性に私は感じます。 (GPT-3の大規模化がフィーチャーされやすいですが、面白いのはGPT-2なんでしょうね。In-context learning refers to the ability of a model to condition on a prompt sequence consisting of in-context examples (input-output pairs corresponding to some task) along with a new query input, and generate the corresponding output. Crucially, in-context learning happens only at inference time without any parameter updates to the model.What is in-context learning? In-context learning was popularized in the original GPT-3 paper as a way to use language models to learn tasks given only a few examples. [1] During in-context learning, we give the LM a prompt that consists of a list of input-output pairs that demonstrate a task.In-context learning refers to the ability of a model to condition on a prompt sequence consisting of in-context examples (input-output pairs corresponding to some task) along with a new query input, and generate the corresponding output. Crucially, in-context learning happens only at inference time without any parameter updates to the model.Oct 25, 2022 · Algorithm Distillation treats learning to reinforcement learn as an across-episode sequential prediction problem. A dataset of learning histories is generated by a source RL algorithm, and then a causal transformer is trained by autoregressively predicting actions given their preceding learning histories as context. Jul 1, 2023 · In-context learning or prompting helps us to communicate with LLM to steer its behavior for desired outcomes. It is an attractive approach to extracting information because you don’t need a large offline training set, you don’t need offline access to a model, and it feels intuitive even for non-engineers. context learning with a language model. Three in-context examples and the test prompt are concatenated as a single string input for GPT-3, with a special charac-ter ”nn” inserted between two adjacent examples. GPT-3 keeps generating tokens until there is a special char-acter ”nn”. 2 Method 2.1 GPT-3 for In-Context Learning2 Background: In-Context Learning In-context learning [BMR+20] allows language models to recognize the desired task and generate answers for given inputs by conditioning on instructions and input-output demonstration examples, rather than updating model parameters as ﬁne-tuning. Formally, given a set of Nlabeled examples D train = f(x i;y i ... In-Context Learning - is a relatively cheap task for models like BERT with a few hundred million parameters, it becomes quite expensive for large GPT-like models, which have several billion ....

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