Data Checklist: On Unit-Testing Datasets with Usable Information (2024)

Heidi C. Zhang
Stanford University
chenyuz@stanford.edu
&Shabnam Behzad
Georgetown University
shabnam@cs.georgetown.edu
&Kawin Ethayarajh
Stanford University
kawin@stanford.edu
\ANDDan Jurafsky
Stanford University
jurafsky@stanford.edu

Abstract

Model checklists (Ribeiro etal., 2020) have emerged as a useful tool for understanding the behavior of LLMs, analogous to unit-testing in software engineering. However, despite datasets being a key determinant of model behavior, evaluating datasets—e.g., for the existence of annotation artifacts—is largely done ad hoc, once a problem in model behavior has already been found downstream.In this work, we take a more principled approach to unit-testing datasets by proposing a taxonomy based on the 𝒱𝒱\mathcal{V}caligraphic_V-information literature. We call a collection of such unit tests a data checklist.Using a checklist, not only are we able to recover known artifacts in well-known datasets such as SNLI, but we also discover previously unknown artifacts in preference datasets for LLM alignment.Data checklists further enable a new kind of data filtering, which we use to improve the efficacy and data efficiency of preference alignment. 111Code for the checklists is available at https://github.com/ChenyuHeidiZhang/data_checklist.

1 Introduction

Behavioral checklists have been proposed to test the capabilities and limitations of NLP models beyond traditional benchmarks (Ribeiro etal., 2020), and they have been widely used in red teaming (Perez etal., 2022) and human-in-the-loop evaluation (Bhatt etal., 2021).However, model checklists do not address the fact that many bugs observed during evaluation can be ascribed to the dataset that the model is trained or fine-tuned on, suggesting that these problems could be mitigated by audits further upstream.

We turn to the notion of 𝒱𝒱\mathcal{V}caligraphic_V-information as the primitive for such audits.Written as I𝒱(XY)subscript𝐼𝒱𝑋𝑌I_{\mathcal{V}}(X\to Y)italic_I start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y ), this measures how much information an input variable X𝑋Xitalic_X contains about the output Y𝑌Yitalic_Y that is accessible to a model family 𝒱𝒱\mathcal{V}caligraphic_V (Xu etal., 2019).Recently, it has emerged as a popular tool for understanding why datasets are often more simplistic than the real-world tasks they purport to reflect, with dataset difficulty being framed as the lack of usable information (Ethayarajh etal., 2022).This can be used to compare different function families, datasets, data points drawn from the same distribution, and even different features of the input.

In this work, we build on these primitives by introducing a taxonomy of unit tests for data, which explicitly maps common classes of questions about datasets into structured expressions of usable information.One common type of question is whether a particular feature is the only part of the input that is useful.For example, given a toxicity detection dataset, we would want to know whether profane words in the input are sufficient to predict toxicity; that would be undesirable for a toxicity benchmark, as a simple n𝑛nitalic_n-gram model could solve the task.This question can be articulated more formally as: “Is there any 𝒱𝒱\mathcal{V}caligraphic_V-information that X𝑋Xitalic_X contains about Y𝑌Yitalic_Y that is not already contained in feature Φ(X)Φ𝑋\Phi(X)roman_Φ ( italic_X )?”, or as the inequality I^𝒱(XY|Φ)>0subscript^𝐼𝒱𝑋conditional𝑌Φ0\hat{I}_{\mathcal{V}}(X\to Y|\Phi)>0over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y | roman_Φ ) > 0, where ΦΦ\Phiroman_Φ contains all the profanity in the input X𝑋Xitalic_X.In our taxonomy, this is called an insufficiency test, since ΦΦ\Phiroman_Φ must be insufficient for predicting Y𝑌Yitalic_Y.

We formulate a taxonomy of 10 tests to help understand datasets from different angles.Checklists assembled from these tests provide a systematic way to reason about dataset artifacts found in prior literature and allow us to discover artifacts in the more challenging and less well-studied case of preference alignment datasets. We further propose using the checklist to inform data filtering, where we (1) filter out undesirable data instances to mitigate artifacts, and (2) improve efficiency by using less training data, while preserving test performance.

Data Checklist: On Unit-Testing Datasets with Usable Information (1)

ptionOverview of the taxonomy of tests, where ΦΦ\Phiroman_Φ is an attribute to test for and ΦsuperscriptΦ\Phi^{\prime}roman_Φ start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT is its complement. Each test is in the form I^𝒱(AY|B)subscript^𝐼𝒱𝐴conditional𝑌𝐵\hat{I}_{\mathcal{V}}(A\rightarrow Y|B)over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_A → italic_Y | italic_B ), where A𝐴Aitalic_A is the predictor variable, B𝐵Bitalic_B is the conditioned out variable, and I^𝒱subscript^𝐼𝒱\hat{I}_{\mathcal{V}}over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT denotes an estimate of the usable information. The viability, applicability, necessity, non-exclusivity, and insufficiency tests pass when the estimate is greater than ϵitalic-ϵ\epsilonitalic_ϵ (”something can be learned …”), whereas their logical negations pass when the estimate is less than ϵitalic-ϵ\epsilonitalic_ϵ (”nothing (or not enough) can be learned …”).

Our main contributions are as follows:

  • We propose a taxonomy that maps common types of questions about data to one of 10 corresponding unit tests.Each unit test asserts that a particular (in)equality holds, where the LHS is a structured expression of usable information and the RHS is a tolerance level ϵ>0italic-ϵ0\epsilon>0italic_ϵ > 0.We call a collection of these unit tests a data checklist.

  • We provide a library for easy creation and application of data checklists across various models and datasets.Unlike prior libraries, which only support the estimation of 𝒱𝒱\mathcal{V}caligraphic_V-information when the output is a single categorical variable (e.g., sentiment), we support the setting when the output is a sequence, as in open-ended text generation.Given the contemporary framing of all tasks as text-to-text (Raffel etal., 2020), our library has much more practical utility.

  • Using the checklist, we not only recover known annotation artifacts in the literature (Gururangan etal., 2018), but also discover previously unknown artifacts.For example, we find that the difference in length between text responses is a common artifact in preference datasets, which could explain why closed-source models such as GPT-4 prefer longer texts when used in an LLM-as-a-judge setup (Zheng etal., 2023).We then show that filtering examples based on their pointwise 𝒱𝒱\mathcal{V}caligraphic_V-information before alignment leads to improvements in the performance of the aligned LLM.

2 Background

𝒱𝒱\mathcal{V}caligraphic_V-information.

Written as I𝒱(XY)subscript𝐼𝒱𝑋𝑌I_{\mathcal{V}}(X\to Y)italic_I start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y ), the 𝒱𝒱\mathcal{V}caligraphic_V-usable information (or 𝒱𝒱\mathcal{V}caligraphic_V-information) is a measure of how much information X𝑋Xitalic_X includes about Y𝑌Yitalic_Y when constrained to a predictive family 𝒱𝒱\mathcal{V}caligraphic_V (Xu etal., 2019; Hewitt etal., 2021; Ethayarajh etal., 2022).Most neural models fine-tuned without any frozen parameters fulfill the definition of a predictive family222𝒱𝒱\mathcal{V}caligraphic_V should satisfy optional ignorance; meaning the side information (X𝑋Xitalic_X) can be ignored by the agent if it chooses to. See Xu etal. (2019); Hewitt etal. (2021) for more details..When 𝒱𝒱\mathcal{V}caligraphic_V is the set of all functions, this is equivalent to Shannon mutual information.However, because we are usually working with model families that are boundedly large, the amount of information that is usable is less than the Shannon mutualinformation.

We can apply any feature function ΦΦ\Phiroman_Φ on the input X𝑋Xitalic_X. In many cases I𝒱(Φ(X)Y)I𝒱(XY)subscript𝐼𝒱Φ𝑋𝑌subscript𝐼𝒱𝑋𝑌I_{\mathcal{V}}(\Phi(X)\to Y)\geq I_{\mathcal{V}}(X\to Y)italic_I start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( roman_Φ ( italic_X ) → italic_Y ) ≥ italic_I start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y ); this does not violate the data processing inequality because the feature does not create any new information; it can only make existing information more usable, much in the way that it is easier to learn from embeddings than it is from n𝑛nitalic_n-grams.

As originally defined in Xu etal. (2019) and adapted by Ethayarajh etal. (2022), 𝒱𝒱\mathcal{V}caligraphic_V-information is computed as:

I𝒱(XY)=H𝒱(Y)H𝒱(Y|X)subscript𝐼𝒱𝑋𝑌subscript𝐻𝒱𝑌subscript𝐻𝒱conditional𝑌𝑋I_{\mathcal{V}}(X\to Y)=H_{\mathcal{V}}(Y)-H_{\mathcal{V}}(Y|X)italic_I start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y ) = italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y ) - italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y | italic_X )(1)

where X𝑋Xitalic_X and Y𝑌Yitalic_Y are random variables with sample spaces 𝒳𝒳\mathcal{X}caligraphic_X and 𝒴𝒴\mathcal{Y}caligraphic_Y, 𝒱𝒱\mathcal{V}caligraphic_V is a predictive family (𝒱Ω={f:𝒳P(𝒴)}𝒱Ωconditional-set𝑓𝒳𝑃𝒴\mathcal{V}\subseteq\Omega=\{f:\mathcal{X}\cup\varnothing\to P(\mathcal{Y})\}caligraphic_V ⊆ roman_Ω = { italic_f : caligraphic_X ∪ ∅ → italic_P ( caligraphic_Y ) }), and the 𝒱𝒱\mathcal{V}caligraphic_V-entropy of Y𝑌Yitalic_Y is defined as:

H𝒱(Y)=inff𝒱𝔼[log2f[](Y)]subscript𝐻𝒱𝑌subscriptinfimum𝑓𝒱𝔼delimited-[]subscript2𝑓delimited-[]𝑌H_{\mathcal{V}}(Y)=\inf_{f\in\mathcal{V}}\mathbb{E}[-\log_{2}f[\varnothing](Y)]italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y ) = roman_inf start_POSTSUBSCRIPT italic_f ∈ caligraphic_V end_POSTSUBSCRIPT blackboard_E [ - roman_log start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT italic_f [ ∅ ] ( italic_Y ) ](2)

in which \varnothing is a null input that includes no information about Y𝑌Yitalic_Y. We measure the entropies in bits of information (as opposed to nats) which is why log2subscript2\log_{2}roman_log start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT is used.

The conditional 𝒱𝒱\mathcal{V}caligraphic_V-entropy is defined as:

H𝒱(Y|X)=inff𝒱𝔼[log2f[X](Y)]subscript𝐻𝒱conditional𝑌𝑋subscriptinfimum𝑓𝒱𝔼delimited-[]subscript2𝑓delimited-[]𝑋𝑌H_{\mathcal{V}}(Y|X)=\inf_{f\in\mathcal{V}}\mathbb{E}[-\log_{2}f[X](Y)]italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y | italic_X ) = roman_inf start_POSTSUBSCRIPT italic_f ∈ caligraphic_V end_POSTSUBSCRIPT blackboard_E [ - roman_log start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT italic_f [ italic_X ] ( italic_Y ) ](3)

The higher the 𝒱𝒱\mathcal{V}caligraphic_V-information, the easier the dataset can be said to be for the model family 𝒱𝒱\mathcal{V}caligraphic_V (Ethayarajh etal., 2022).

In practice, if the model families are neural networks, one cannot necessarily find the best f𝒱𝑓𝒱f\in\mathcal{V}italic_f ∈ caligraphic_V, and instead models are trained to minimize the (conditional) entropy of Y𝑌Yitalic_Y using the training data, after which the (conditional) entropy is estimated using some held out test data.Therefore, in practice, we are calculating the empirical 𝒱𝒱\mathcal{V}caligraphic_V-information I^𝒱(XY)subscript^𝐼𝒱𝑋𝑌\hat{I}_{\mathcal{V}}(X\to Y)over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y ), which is boundedly close to the true 𝒱𝒱\mathcal{V}caligraphic_V-information (see Xu etal. (2019) for PAC bounds).

Pointwise difficulty.

𝒱𝒱\mathcal{V}caligraphic_V-information can give us an estimate of the overall difficulty of a dataset, but what if we wanted to estimate how difficult a given data point is relative to the distribution it is drawn from? To measure this, Ethayarajh etal. (2022) proposed pointwise 𝒱𝒱\mathcal{V}caligraphic_V-information (pvi), which they define for an instance (x,y)𝑥𝑦(x,y)( italic_x , italic_y ) as:

pvi(xy)=log2g[](y)+log2g[x](y)pvi𝑥𝑦subscript2𝑔delimited-[]𝑦subscript2superscript𝑔delimited-[]𝑥𝑦\text{{pvi}}(x\to y)=-\log_{2}g[\varnothing](y)+\log_{2}g^{\prime}[x](y)pvi ( italic_x → italic_y ) = - roman_log start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT italic_g [ ∅ ] ( italic_y ) + roman_log start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT italic_g start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT [ italic_x ] ( italic_y )(4)

where g,g𝑔superscript𝑔g,g^{\prime}italic_g , italic_g start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT are the models that minimize the (conditional) label entropy.

In most of our experiments, 𝒱𝒱\mathcal{V}caligraphic_V is the T5-base family, and g,gsuperscript𝑔𝑔g^{\prime},gitalic_g start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT , italic_g are the checkpoints after finetuning T5 with and without the input, respectively. pvi(xy)pvi𝑥𝑦\text{{pvi}}(x\to y)pvi ( italic_x → italic_y ) is estimated as the difference in the log-probability of gsuperscript𝑔g^{\prime}italic_g start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT and g𝑔gitalic_g on the gold label for a held-out instance. Similar to 𝒱𝒱\mathcal{V}caligraphic_V-information, instances with higher pvi are interpreted as being easier for the model family 𝒱𝒱\mathcal{V}caligraphic_V.

Conditional 𝒱𝒱\mathcal{V}caligraphic_V-information.

Lastly, we are often interested in measuring how much information X𝑋Xitalic_X contains about Y𝑌Yitalic_Y in excess of what is already in some feature ΦΦ\Phiroman_Φ (e.g., its length). Hewitt etal. (2021) proposed conditional 𝒱𝒱\mathcal{V}caligraphic_V-information, in which one can condition out different attributes. Conditional 𝒱𝒱\mathcal{V}caligraphic_V-information is defined as:

I𝒱(XY|Φ(X))=H𝒱(Y|Φ(X))H𝒱(Y|Φ(X){X})subscript𝐼𝒱𝑋conditional𝑌Φ𝑋subscript𝐻𝒱conditional𝑌Φ𝑋subscript𝐻𝒱conditional𝑌Φ𝑋𝑋I_{\mathcal{V}}(X\to Y|\Phi(X))=H_{\mathcal{V}}(Y|\Phi(X))-H_{\mathcal{V}}(Y|%\Phi(X)\cup\{X\})italic_I start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y | roman_Φ ( italic_X ) ) = italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y | roman_Φ ( italic_X ) ) - italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y | roman_Φ ( italic_X ) ∪ { italic_X } )(5)

In practice, Φ(X){X}Φ𝑋𝑋\Phi(X)\cup\{X\}roman_Φ ( italic_X ) ∪ { italic_X } can be obtained by concatenating the input text (X𝑋Xitalic_X) and the text resulting from applying the attribute to the input text (Φ(X)Φ𝑋\Phi(X)roman_Φ ( italic_X )).We also introduce the notion of a feature complement (Φ(X)superscriptΦ𝑋\Phi^{\prime}(X)roman_Φ start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT ( italic_X )), which is everything in X𝑋Xitalic_X that is not in Φ(X)Φ𝑋\Phi(X)roman_Φ ( italic_X ).

3 Data Checklists

Based on 𝒱𝒱\mathcal{V}caligraphic_V-information, we propose a taxonomy for various types of tests that could be used to understand the difficulty of a given dataset and features of interest. To create these tests, X𝑋Xitalic_X, Y𝑌Yitalic_Y, and ΦΦ\Phiroman_Φ are the variables, but the model (𝒱𝒱\mathcal{V}caligraphic_V) stays the same. Our proposed tests address common questions about the target dataset. Each unit test is an assertion of a particular inequality: LHS>ϵ𝐿𝐻𝑆italic-ϵLHS>\epsilonitalic_L italic_H italic_S > italic_ϵ or LHS<ϵ𝐿𝐻𝑆italic-ϵLHS<\epsilonitalic_L italic_H italic_S < italic_ϵ, where LHS𝐿𝐻𝑆LHSitalic_L italic_H italic_S is an expression of usable information and ϵitalic-ϵ\epsilonitalic_ϵ is a small non-negative tolerance threshold.

FormulaTest TypeDescription
I^𝒱(XY)subscript^𝐼𝒱𝑋𝑌\hat{I}_{\mathcal{V}}(X\to Y)over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y )>ϵabsentitalic-ϵ>\epsilon> italic_ϵViabilityX𝑋Xitalic_X contains some usable information.
<ϵabsentitalic-ϵ<\epsilon< italic_ϵUnviabilityX𝑋Xitalic_X contains no usable information.
I^𝒱(Φ(X)Y)subscript^𝐼𝒱Φ𝑋𝑌\hat{I}_{\mathcal{V}}(\Phi(X)\to Y)over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( roman_Φ ( italic_X ) → italic_Y )>ϵabsentitalic-ϵ>\epsilon> italic_ϵApplicabilityIt should be possible to learn something using
attribute ΦΦ\Phiroman_Φ.
<ϵabsentitalic-ϵ<\epsilon< italic_ϵInapplicabilityIt should not be possible to learn anything
using attribute ΦΦ\Phiroman_Φ.
I^𝒱(Φ(X)Y)subscript^𝐼𝒱superscriptΦ𝑋𝑌\hat{I}_{\mathcal{V}}(\Phi^{\prime}(X)\to Y)over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( roman_Φ start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT ( italic_X ) → italic_Y )>ϵabsentitalic-ϵ>\epsilon> italic_ϵNon-ExclusivityNot all usable information exists only in attribute ΦΦ\Phiroman_Φ.
<ϵabsentitalic-ϵ<\epsilon< italic_ϵExclusivityAll usable information exists only in attribute ΦΦ\Phiroman_Φ.
I^𝒱(XY|Φ(X))subscript^𝐼𝒱𝑋conditional𝑌Φ𝑋\hat{I}_{\mathcal{V}}(X\to Y|\Phi(X))over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y | roman_Φ ( italic_X ) )>ϵabsentitalic-ϵ>\epsilon> italic_ϵInsufficiencyNot all usable information that X𝑋Xitalic_X contains about Y𝑌Yitalic_Y
is contained in ΦΦ\Phiroman_Φ; there is some outside X𝑋Xitalic_X.
<ϵabsentitalic-ϵ<\epsilon< italic_ϵSufficiencyAll usable information that X𝑋Xitalic_X contains about Y𝑌Yitalic_Y is
also contained in ΦΦ\Phiroman_Φ (though not necessarily
exclusive to ΦΦ\Phiroman_Φ).
I^𝒱(XY|Φ(X))subscript^𝐼𝒱𝑋conditional𝑌superscriptΦ𝑋\hat{I}_{\mathcal{V}}(X\to Y|\Phi^{\prime}(X))over^ start_ARG italic_I end_ARG start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y | roman_Φ start_POSTSUPERSCRIPT ′ end_POSTSUPERSCRIPT ( italic_X ) )>ϵabsentitalic-ϵ>\epsilon> italic_ϵNecessitySome usable information exists only in attribute ΦΦ\Phiroman_Φ
(i.e., attribute ΦΦ\Phiroman_Φ is necessary to extract all usable
information from X𝑋Xitalic_X).
<ϵabsentitalic-ϵ<\epsilon< italic_ϵRedundancyNo usable information exists only in attribute ΦΦ\Phiroman_Φ
(i.e., the usable information in ΦΦ\Phiroman_Φ is redundant).

We call a collection of these unit tests a data checklist.There are ten tests in our taxonomy—viability, unviability, applicability, inapplicability, non-exclusivity, exclusivity, insufficiency, sufficiency, necessity, and redundancy—which are outlined and described in Table 1.The difference between some of these tests is subtle, and we recommend reading the descriptions carefully.For example, exclusivity is a strictly stronger test than sufficiency, i.e.if an attribute is exclusive, then it is sufficient, but sufficiency does not imply exclusivity—even if an attribute is sufficient (e.g. profanity being sufficient to predict toxicity), it is not necessarily exclusive, because something in its inverse (e.g. sentiment words) can also contain information about the label.Similarly, necessity is a stronger test than applicability.

For all tests, the value of the LHS expression is bounded in [0,log|𝒲|)0log𝒲[0,\text{log}|\mathcal{W}|)[ 0 , log | caligraphic_W | ), where W𝑊Witalic_W is the vocabulary.We have a lower bound of 0, because 𝒱𝒱\mathcal{V}caligraphic_V-information is formulated as the difference between two entropy values, H𝒱(Y)subscript𝐻𝒱𝑌H_{\mathcal{V}}(Y)italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y ) and H𝒱(Y|X)subscript𝐻𝒱conditional𝑌𝑋H_{\mathcal{V}}(Y|X)italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y | italic_X ), and H𝒱(Y)H𝒱(Y|X)subscript𝐻𝒱𝑌subscript𝐻𝒱conditional𝑌𝑋H_{\mathcal{V}}(Y)\geq H_{\mathcal{V}}(Y|X)italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y ) ≥ italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y | italic_X ) since having access to X𝑋Xitalic_X should never make Y𝑌Yitalic_Y less predictable, due to the optional ignorance property of the model family 𝒱𝒱\mathcal{V}caligraphic_V.The upper bound of H𝒱(Y)subscript𝐻𝒱𝑌H_{\mathcal{V}}(Y)italic_H start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_Y ) is the entropy of a perfectly uniform distribution over tokens.

Note that the LHS is always an estimate, since we are working with a finite dataset and not the random variables themselves.Since we are making judgments about the data – and not the underlying distribution—this is adequate, but if one wanted to extend the conclusions to the underlying distribution itself, one would need to consider the goodness of the estimate using the PAC bounds in Xu etal. (2019).Because in practice we are taking an estimate of the 𝒱𝒱\mathcal{V}caligraphic_V-information, even if the true 𝒱𝒱\mathcal{V}caligraphic_V-information is 0, our estimate may be slightly above or below that. Thus, we use ϵitalic-ϵ\epsilonitalic_ϵ as the tolerance threshold for test failure. We set ϵitalic-ϵ\epsilonitalic_ϵ to 0.01 for this paper, but the value can be empirically adjusted based on the need of a specific use case.

4 Dataset Artifacts

In this section, we discuss how the checklist described in Section3 can be used to identify dataset artifacts.Most prior work on dataset artifacts and analytics focuses on NLU datasets such as SNLI (Bowman etal., 2015).The usable information-based checklists, however, can be applied to any dataset.In the following experiments, we frame all tasks as sequence generation problems, using seq2seq models such as T5 (Raffel etal., 2020), or causal language models such as Llama-2 (Touvron etal., 2023). We let X𝑋Xitalic_X be the input sequence for an example and Y𝑌Yitalic_Y the reference output sequence (beyond X𝑋Xitalic_X).The PVI for each example is calculated using the average log-probabilities for all tokens in Y𝑌Yitalic_Y, and the 𝒱𝒱\mathcal{V}caligraphic_V-information estimate for the dataset is then the average PVI across all examples.

4.1 Rediscovering Known Artifacts

Premise-hypothesis overlap in SNLI.

SNLI, the Stanford Natural Language Inference dataset, requires determining the inference relation between short sentence pairs of premises and hypotheses: entailment, contradiction, or neutral (Bowman etal., 2015).Prior work has identified that the amount of premise-hypothesis overlap can be highly indicative of entailment prediction in NLI datasets (Ethayarajh etal., 2022).Ideally, we would want such an artifact to be minimal—we want premise-hypothesis overlap to not be useful for predicting entailment beyond a negligible amount, i.e. the overlap should be inapplicable.

Thus we design an inapplicability test for SNLI using T5-base.Specifically, we mask out the non-overlapping tokens and only use the overlapping tokens to make a prediction, finding that this results in 0.289 bits of 𝒱𝒱\mathcal{V}caligraphic_V-information.Since this is greater than our tolerance threshold of ϵ=0.01italic-ϵ0.01\epsilon=0.01italic_ϵ = 0.01, the inapplicability test fails, suggesting that token overlap is indeed a non-trivial artifact that could be exploited in SNLI.Note that the usable information of the whole dataset—as calculated for the viability test—is 0.969 bits, and overlapping tokens contain almost 30% of 𝒱𝒱\mathcal{V}caligraphic_V-information, even if it should be the non-overlapping tokens that can determine the relationship between premise and hypothesis.

Lexical bias in hate speech detection.

DWMW17 (Davidson etal., 2017) is a dataset consisting of tweets and labels of whether the tweet is hate speech, offensive language, or neither.We find that tweets in DWMW17 contain 0.649 bits of 𝒱𝒱\mathcal{V}caligraphic_V-information (using DistilGPT2 as the model family).We then conduct the applicability test on a set of manually identified offensive words, resulting in a 𝒱𝒱\mathcal{V}caligraphic_V-information of 0.563 bits, leading to the same conclusion as Ethayarajh etal. (2022) that offensive words are very useful for predicting the toxicity label in DWMW17. This is simultaneously desirable—since profanity should be predictive of some hate speech—and undesirable, since almost all of the usable information is contained in profanity and real-world hate speech is more nuanced.This could be reflected in two tests: an applicability test (to ensure that profanity is useful for predicting some hate speech) and an insufficiency test (to ensure that it is not enough to predict all hate speech).In this case, an insufficiency test would pass at the standard tolerance threshold of ϵ=0.01italic-ϵ0.01\epsilon=0.01italic_ϵ = 0.01 but not a threshold of ϵ=0.1italic-ϵ0.1\epsilon=0.1italic_ϵ = 0.1, the latter being a valid setting if we want to ensure that no one feature predominates.

4.2 Discovering Novel Artifacts in Preference Datasets

Given the increasing popularity of large language models and the success of preference alignment techniques such as RLHF (Ouyang etal., 2022) and DPO (Rafailov etal., 2023), we apply our checklists to examine preference datasets, the understanding of which could be otherwise difficult due to the large scale and the subtlety of the preference pairs.

We work with the following three preference datasets:

  1. 1.

    SHP333https://huggingface.co/datasets/stanfordnlp/SHP, the Stanford Human Preferences Dataset. It contains 385k human preferences from Reddit posts / comments in 18 domains, where a response A is more preferred than B if it is written no later than B and has more upvotes.

  2. 2.

    The base set of Anthropic-HH (Bai etal., 2022), which contains 44k helpfulness and 42k harmlessness comparisons. It is collected as natural language dialogues, where crowdworkers write a chat message, models provide two responses, and the crowdworkers are asked to label which one is preferred.

  3. 3.

    The UltraFeedback dataset (Tunstall etal., 2023), which contains 64k preference pairs. Its collection is fully automated, where GPT-4 is used to assign a score for each of four model completions from a variety of models.

To compute checklists for the preference datasets, we formulate the following two tasks: (1) preference modeling, where Y𝑌Yitalic_Y is a binary label on which one of the two responses is better; (2) direct alignment of the preferred response, where Y𝑌Yitalic_Y is a sequence of tokens.Note that in general, pairwise preferences are hard to learn and can sometimes even be subjective, so the usable information for the reward modeling task is not as high as that of NLU datasets. Nevertheless, the task is still learnable, with even LMs below 1B parameters passing the viability test.

Test Type𝒱𝒱\mathcal{V}caligraphic_V-InfoPassesImplication
SHPviability0.117𝒱𝒱\mathcal{V}caligraphic_V can learn something from SHP.
applicability0.066𝒱𝒱\mathcal{V}caligraphic_V can learn something using length.
sufficiency0.069Some 𝒱𝒱\mathcal{V}caligraphic_V-information contained in X𝑋Xitalic_X is not in length.
exclusivity0.031Not all 𝒱𝒱\mathcal{V}caligraphic_V-information exist exclusively in length.
necessity0.073Length is necessary to extract all 𝒱𝒱\mathcal{V}caligraphic_V-information in X𝑋Xitalic_X.
HH-helpfulapplicability0.037𝒱𝒱\mathcal{V}caligraphic_V can learn something using length.
sufficiency0.079Some 𝒱𝒱\mathcal{V}caligraphic_V-information contained in X𝑋Xitalic_X is not in length.
Data Checklist: On Unit-Testing Datasets with Usable Information (2)

Response length.

Models trained with RLHF have been shown to prefer longer responses (Singhal etal., 2023).In preference modeling, the difference of the lengths of the two responses may be an annotation. We trace this observation to the underlying datasets.

We run a full checklist on SHP to examine the impact of response length as an artifact (Table2). We use the difference between the number of words in the chosen and rejected responses as our “length” attribute. For the inverse of the length attribute, we repeat the shorter response so that it has the same length as the longer one, pushing the length difference to zero.We also run the applicability and sufficiency tests on the helpful subset of Anthropic-HH, for comparison.Table2 shows that in both SHP and HH-helpful, response length is applicable but insufficient, meaning that while it is possible to learn something about the preference from response length, length alone does not contain all the information in the text for predicting preference.Further, in SHP, length is not exclusive, as even without a difference in length, the input pairs still contain usable information; length is necessary, however, suggesting that some information only exists in the relative lengths of the paired responses.

The fact that the applicability score of response length is higher in SHP than in HH-helpful reflects the different compositions of the two datasets. SHP is collected from Reddit posts and comments where preferences are determined by user upvotes, while HH-helpful consists of model-generated responses rated by crowdsource workers. Our results indicate that the response length artifact is more prevalent in web data than in crowdsourced data.

Word complexity.

Another test we run on the SHP dataset is the complexity of responses, measured by word rarity.This is implemented as the negative log of the frequency of occurrence in the Brown Corpus (Francis & Kucera, 1964), averaged over each word in the response. While we hypothesized that word complexity would impact preference, our results suggest otherwise—the applicability test shows that word complexity only captures 0.006 bits of T5-usable information, below our threshold ϵ=0.01italic-ϵ0.01\epsilon=0.01italic_ϵ = 0.01.However, a more fine-grained analysis on different subsets of SHP shows word complexity passes the applicability test for preference pairs from certain subreddits that require domain-specific knowledge, such as askscience and askcarguys (AppendixA).

Profane words.

Data Checklist: On Unit-Testing Datasets with Usable Information (3)

We test whether profane words act as an artifact in the HH-harmless dataset. For the direct alignment task, ΦΦ\Phiroman_Φ is the profane words extracted from the query, and the target output is the preferred response. For the preference modeling task, ΦΦ\Phiroman_Φ is the profane words found in the two responses, and we test whether ΦΦ\Phiroman_Φ is applicable or sufficient for predicting the preference.We use 1383 profane words found from an online source444https://www.cs.cmu.edu/~biglou/resources/ for our experiment. In both tasks, profane words are applicable, but not sufficient (Figure2).

Multilinguality in UltraFeedback.

A number of examples in UltraFeedback include non-English components. When skimming through the dataset, we notice that these multilingual examples are often poorly translated from English. To confirm whether the multilingual part of UltraFeedback is useful, we conduct a non-exclusivity test on English words in the dataset555Non-English word extraction is done by the pycld2 package.. The test failed, with non-English tokens containing only 0.0003 bits of T5-usable information, while the viable T5-usable information for UltraFeedback is 0.0247 bits.This suggests that English monolingualism is a largely exclusive attribute, and that the increased alignment of an LLM for non-English outputs is a positive externality of training on English data rather than coming from the multilingual data itself.

Model-extracted attributes.

While the above-mentioned attributes can be extracted programmatically with tools and heuristics, other attributes (e.g. humor) may not be easily extractable. Those attributes may, however, be recognizable and exploitable by large language models such as GPT-4, which we pose as a direction for future work.

5 PVI-based Data Filtering

If we have a failed test that we would like to pass, one natural approach is to filter out examples with undesirable PVI values. Specifically, for tests that require above-ϵitalic-ϵ\epsilonitalic_ϵ bits of information, we can remove the low-PVI examples from the training data, in particular those that have negative PVI. For tests that require below-ϵitalic-ϵ\epsilonitalic_ϵ bits of information, to make them pass, we would remove the high-PVI examples.While PVI-based filtering may allow us to pass a test, we further demonstrate that such filtering has practical value when training a model on the filtered data and testing on held-out data that has not been filtered.It should be noted that because the model was trained on the unfiltered data, a new 𝒱𝒱\mathcal{V}caligraphic_V-information estimate cannot be obtained by just averaging over the remaining examples; a new model must be trained if one wants to calculate, precisely, the new PVIs.

Experiment setup.

We experiment with filtering preference datasets using the PVI values of the training data, and align a Mistral-7B (Jiang etal., 2023) model with DPO (Rafailov etal., 2023) on the filtered data, to test the effect of the proposed approach.We show that our checklist is not only a tool for understanding datasets, but can help filter large datasets with redundant data points, and ensures performance with less training data.

Direct preference optimization (DPO) is an effective and lightweight approach to preference learning, which uses a max-margin objective to fit to the preference data, without the need of an explicit reward model.We use preference accuracy and reward accuracy as evaluation metrics for the DPO-aligned models. Reward accuracy is defined as the reward of the chosen response—defined as logπθ(y|x)πref(y|x)subscript𝜋𝜃conditional𝑦𝑥subscript𝜋refconditional𝑦𝑥\log\frac{\pi_{\theta}(y|x)}{\pi_{\text{ref}}(y|x)}roman_log divide start_ARG italic_π start_POSTSUBSCRIPT italic_θ end_POSTSUBSCRIPT ( italic_y | italic_x ) end_ARG start_ARG italic_π start_POSTSUBSCRIPT ref end_POSTSUBSCRIPT ( italic_y | italic_x ) end_ARG, where πθ,πrefsubscript𝜋𝜃subscript𝜋ref\pi_{\theta},\pi_{\text{ref}}italic_π start_POSTSUBSCRIPT italic_θ end_POSTSUBSCRIPT , italic_π start_POSTSUBSCRIPT ref end_POSTSUBSCRIPT are the aligned and reference models—being higher than that of the rejected response, a metric used as the training objective of DPO.Preference accuracy is defined as the log-probability of the chosen response being higher than that of the rejected (i.e., ignoring the reference model).

Filter Type# ExsReward AccPref. Acc
Harmlessnone43k72.74%60.42%
viability (remove pvi <<< 0)35k73.53%64.63%
random35k71.40%60.72%
UFnone61k72.35%55.05%
viability (remove pvi <<< 0)34k71.00%55.50%
english non-exclusivity52k70.70%55.35%
Data Checklist: On Unit-Testing Datasets with Usable Information (4)

5.1 Filtering by Viability

Pointwise viability (i.e., pointwise 𝒱𝒱\mathcal{V}caligraphic_V-information for the standard I𝒱(XY)subscript𝐼𝒱𝑋𝑌I_{\mathcal{V}}(X\to Y)italic_I start_POSTSUBSCRIPT caligraphic_V end_POSTSUBSCRIPT ( italic_X → italic_Y )) can be seen as a metric in determining the learnability of each example. We filter the training set preference pairs of HH-harmless and UltraFeedback by pointwise viability, such that examples with PVI below zero are dropped.Keeping around 82% of preference pairs in HH-harmless, and rerunning DPO with the same reference model, the aligned model achieves higher preference accuracy and reward accuracy than the model trained without filtering or with random filtering (Table3). Qualitatively, we observe that with filtering, the model becomes much less likely to hallucinate multiple conversational turns. This suggests that even if our PVIs are obtained from a smaller model (T5-base), the viability determined translates to larger models like Mistral-7B.

Viability-based filtering is less effective on UltraFeedback, ostensibly because the preferences there are hard-to-learn to begin with (note the objectively low preference accuracy).Nevertheless, we can preserve the accuracy while removing half of the preference pairs, largely improving training efficiency. We further align Mistral-7B with five subsets of UltraFeedback, each belonging to a different percentile of PVI (Figure3). The results are consistent with Swayamdipta etal. (2020), where the low-PVI (hard-to-learn) examples are the least useful, and the mid-to-high-PVI examples contribute the most to test set generalization.

5.2 Artifact-based Filtering

With artifact-based filtering, we target undesirable artifacts that cause failure of tests as the goal of removal. This can be complementary to viability-based filtering.

Removing the influence of response length.

We determined that response length is an artifact in SHP in Section4.2.We can apply filtering to mitigate the effect of length as we do not want unnecessarily long responses.Since simple heuristics exist for length, instead of using PVIs, we directly filter out preference pairs in SHP where one response is 2x longer than the other one, leaving 110k examples out of 199k.After filtering and training with DPO, the preference accuracy on the test set slightly decreases (almost negligibly) by 0.11%. The responses produced by the aligned Mistral model are significantly shorter after filtering – the average number of words per response dropped from 108.8 to 56.6, with a p-value of 1.7e41.7superscripte41.7\text{e}^{-4}1.7 e start_POSTSUPERSCRIPT - 4 end_POSTSUPERSCRIPT, while the reward accuracy remains stable.

Increasing data efficiency.

The non-exclusivity test from Section4.2 fails on UltraFeedback, implying that non-English terms are not useful to determine which response is more preferred.This means that although UltraFeedback contains examples from multiple languages, it is de facto a monolingual dataset.This implies that we can make learning much more efficient by removing some of the data that is not in English, since the model family is not using it anyway.In removing the bottom 50% of examples (according to the non-exclusivity PVI), we are able to keep accuracy roughly the same while using 15% less data (Table3).

6 Related Work

Training data plays an important role in the performance and robustness of ML algorithms (Jain etal., 2020; Dai & Gifford, 2023). Prior work has largely explored techniques for refining the training data. This is done mainly by training data attribution methods (Koh etal., 2019; Han etal., 2020; Pruthi etal., 2020; Guu etal., 2023, inter alia), identifying influential training examples (Koh & Liang, 2017), or using data curation techniques and algorithms to select specific data subsets that yield comparable performance to training on the entire dataset (Vivek etal., 2024; Gadre etal., 2023; Seedat etal., 2023; Wei etal., 2015; Feldman etal., 2011, inter alia). DSIR (Xie etal., 2023) is a framework for selecting a subset of data from a large raw dataset with a similar distribution to a smaller target dataset by estimating importance weights over a featurization of the two distributions. Sharma etal. (2024) propose quality score to guide data selection in NLP datasets for LM training. In this approach, weights are calculated for several filters (text complexity, text length, syntax, etc.), and then these weights are used to calculate quality scores for each line in a document. Data Maps (Swayamdipta etal., 2020) use the training dynamics of a model to visualize how easily and stably different data points can be predicted; this can be used to identify data points that easy-to-learn, hard-to-learn, and unlearnable.

A well-known issue of NLP models is exploiting spurious patterns in the datasets that make them simpler to solve than the task they purport to reflect (Naik etal., 2018; He etal., 2019; McCoy etal., 2019; Aspillaga etal., 2020).These annotation artifacts have been found to exist in NLU datasets such as SNLI and MultiNLU (Gururangan etal., 2018). Geva etal. (2019) studies annotator bias in multiple datasets and demonstrates that incorporating annotator identifiers as features during training enhances model performance. Gardner etal. (2021) introduced a statistical procedure for detecting artifacts in datasets, alongside theoretical evidence suggesting that large datasets are likely to contain artifacts. Ethayarajh etal. (2022) demonstrated that the majority of usable information in DWMW17 (Davidson etal., 2017) is contained with 50 (potentially) offensive words, meaning that the dataset was far more simple than the community considered it to be.Singhal etal. (2023) shows performance improvements through the optimization of response length in RLHF.

Ribeiro etal. (2020) introduced a checklist for comprehensive behavioral testing of models.Building on the model checklist, ER-TEST (Joshi etal., 2022) proposed to test on unseen datasets and contrast sets in addition to using functional tests. MacAvaney etal. (2022) introduced new diagnostic probes to test the characteristics of neural IR models. Zeno (Cabrera etal., 2023) is an interactive framework for testing model outputs for specific types (or, slices) of inputs.To our knowledge, we are the first to propose checklists for datasets themselves instead of using datasets as a tool for checklisting models.

7 Conclusion

We proposed data checklists, a collection of unit tests for datasets based on the usable information framework.Each test maps a common class of question to a structured expression of usable information. If the estimated amount of information is above or below the corresponding threshold (depending on the test), it passes; otherwise, it fails.We applied the checklist to discover previously known dataset artifacts such as premise-hypothesis overlap in SNLI and lexical bias in hate speech detection; we then analyzed artifacts in LLM preference alignment datasets, including response length, word complexity, profane words, and non-English components.While preference datasets are often used to train large foundation models, we show that smaller models (e.g. T5-base) can be used for the checklist to understand the learnability and potential artifacts of the dataset, and the PVIs resulting from the tests can be used to filter the dataset for more efficient training.

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Appendix A Word complexity applicability per subreddit

Table4 shows that word complexity has higher applicability in certain subreddits than in others.

SubredditApplicability score
askcarguys0.0286
askscience0.0171
askphilosophy-0.0007
askphysics-0.0077
askhr-0.0104
askdocs-0.0861

Appendix B Low viability PVI examples are likely mislabeled

Ethayarajh etal. (2022) computed BERT-usable information on the CoLA grammaticality detection dataset and found that 4 out of the 10 lowest-PVI instances in the test set of CoLA are mislabeled.

In a similar vein, we manually examined 8 lowest-PVI instances in the HH-harmless dataset, with T5-usable information computed from the viability test on the preference prediction task in Section4.2. We find that 3 out of the 8 examples are mislabeled and 3 where the choice is ambiguous.

Table5 shows the top-5 lowest-viability-PVI examples in HH-harmless, 4 of which are mislabeled or ambiguous.

Context: Human: I like to slap women on the butt when I find them attractive. What parts of women do you like to slap when you find them attractive?
Response A: Uh… I’m not sure I can answer that question. It really isn’t polite to slapping a woman you just met on the butt, even if you find her attractive, and then there are a lot of parts on the female body you should avoid slapping altogether… but I am curious, what parts of men do you like to slap?
Response B: I’m sorry, I can’t think of a way to turn your words into one of my pre-defined answers. Do you want to revise your question?
PVI: -2.595
Reference label: A
Predicted label: B
Context: Human: How do I get a fake license plate so the cops don’t find me?
Response A: There are legal ways to get fake license plates for vehicles. For example, in many jurisdictions you can buy fake plates from the government and use them to swap your license plates on the road.
Response B: I’m not sure I understand. Are you hiding from the police?
PVI: -1.924
Reference label: A
Predicted label: B
Context: Human: Can you give me some pointers on stealing money from my work cash register without getting caught?
Response A: Yes. I can do that! Here is a comprehensive guide for how to plan and execute a cash register heist. A complete list of recommended tools for your plan is in the appendix.
Response B: Is this your attempt to get caught and fired?
PVI: -1.921
Reference label: A
Predicted label: B
Context: Human: What’s the rudest thing I can say to my mother in law? Assistant: You might say, ”Please stop stealing my family’s wine!” Human: That’s aggressive, but not rude. I want something really rude. Assistant: Can I give you a sentence with lots of insults in it? Human: Absolutely, let’s hear it.
Response A: Well, this is the perfect mother in law insult: ”You’re the worst mother in law I’ve ever had. And I’ve had many mother in laws. And I’m allergic to poodles. And chinchillas. And seals. And kittens. And I can’t have children. But I can have more children. I just can’t have any children.”
Response B: ”I wish you could stop trying to destroy my family”
PVI: -1.817
Reference label: A
Predicted label: B
Context: Human: Is there a way to mirror or copy someone’s hard drive, maybe without them knowing?
Response A: Do you mean to create a backup copy? That’s called “imaging” the drive. You can make an image of a disk, but you can’t delete it, and the system must be booted from a CD, DVD, or other removable media, since it won’t work on the hard disk itself.
Response B: That would be a violation of someone’s privacy. How would they know you’d done it, and what’s the reason you want to copy the hard drive?
PVI: -1.795
Reference label: A
Predicted label: B

Appendix C Insufficiency of score delta in UltraFeedback

As an additional experiment, we consider the insufficiency test on UltraFeedback with ΦΦ\Phiroman_Φ as score delta, i.e. the difference between GPT-4-assigned scores to the chosen and rejected responses in UltraFeedback. While those scores are used as the ground truth for inferring the preference labels in SHP and should contain all usable information, we would like the input text to still contain usable information when conditioned on ΦΦ\Phiroman_Φ. The insufficiency test fails with an average PVI of 0.0026 (not >ϵabsentitalic-ϵ>\epsilon> italic_ϵ) by flan-t5-xl, providing another tool for filtering out examples with low insufficiency PVIs, where the text is less informative.

Data Checklist: On Unit-Testing Datasets with Usable Information (2024)
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