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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>S. Verberne);</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Retrieval-Augmented Generation: An Analysis of Small LLMs</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mert Yazan</string-name>
          <email>m.yazan@hva.nl</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Suzan Verberne</string-name>
          <email>s.verberne@liacs.leidenuniv.nl</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Frederik Situmeang</string-name>
          <email>f.b.i.situmeang@uva.nl</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Washington D.C.</string-name>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Retrieval Augmented Generation, Quantization„ Eficiency, Large Language Models, Personalization</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Amsterdam University of Applied Sciences</institution>
          ,
          <addr-line>Fraijlemaborg 133, 1102 CV Amsterdam</addr-line>
          ,
          <country country="NL">Netherlands</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Leiden University</institution>
          ,
          <addr-line>Einsteinweg 55, 2333 CC Leiden</addr-line>
          ,
          <country country="NL">Netherlands</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2083</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Post-training quantization reduces the computational demand of Large Language Models (LLMs) but can weaken some of their capabilities. Since LLM abilities emerge with scale, smaller LLMs are more sensitive to quantization. In this paper, we explore how quantization afects smaller LLMs' ability to perform retrieval-augmented generation (RAG), specifically in longer contexts. We chose personalization for evaluation because it is a challenging domain to perform using RAG as it requires long-context reasoning over multiple documents. We compare the original FP16 and the quantized INT4 performance of multiple 7B and 8B LLMs on two tasks while progressively increasing the number of retrieved documents to test how quantized models fare against longer contexts. To better understand the efect of retrieval, we evaluate three retrieval models in our experiments. Our findings reveal that if a 7B LLM performs the task well, quantization does not impair its performance and long-context reasoning capabilities. We conclude that it is possible to utilize RAG with quantized smaller LLMs.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Large Language Model (LLM) outputs can be enhanced by
fetching relevant documents via a retriever and adding them
as context for the prompt. The LLM can generate an output
grounded with relevant information with the added
context. This process is called Retrieval Augmented Generation
(RAG). RAG has many benefits such as improving
efectiveness in downstream tasks [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4">1, 2, 3, 4</xref>
        ], reducing hallucinations
[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], increasing factuality [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], by-passing knowledge cut-ofs,
and presenting proprietary data that is not available to the
      </p>
      <sec id="sec-1-1">
        <title>LLMs.</title>
        <p>
          The performance of RAG depends on the number, quality,
and relevance of the retrieved documents [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ]. To perform
RAG, many tasks demand a lot of passages extracted from
multiple, unstructured documents: For question-answering
tasks, the answer might be scattered around many
documents because of ambiguity or the time-series nature of the
question (eg. price change of a stock). For more open-ended
tasks like personalization, many documents from diferent
sources might be needed to capture the characteristics of
the individual. Therefore to handle RAG in these tasks, an
LLM needs to look at multiple sources, identify the relevant
parts, and compose the most plausible answer [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ].
        </p>
        <p>
          LLMs do not pay the same attention to their whole
context windows, meaning the placement of documents in the
prompt directly afects the final output [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. On top of that,
some of the retrieved documents may be unrelated to the
task, or they may contain contradictory information
compared to the parametric knowledge of the LLM [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]. An LLM
has to overcome these challenges to leverage RAG to its
advantage. Xu et al. [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ] have shown that an open-source 70B
LLM [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ] equipped with RAG can beat proprietary models,
meaning it is not necessary to use an LLM in the caliber
of GPT-4 [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ] to implement RAG. Still, for many use cases,
        </p>
        <p>CEUR</p>
        <p>
          ceur-ws.org
it might not be feasible to deploy a 70B LLM as it is
computationally demanding. To decrease the computational
demand of LLMs, post-training quantization can be used.
Quantization drastically reduces the required amount of
RAM to load a model and can increase the inference speed
by more than 3 times [
          <xref ref-type="bibr" rid="ref12 ref13">12, 13</xref>
          ]. Despite the benefits,
quantization afects LLMs diferently depending on their size
[
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]. For capabilities that are important to RAG, such as
long-context reasoning, smaller LLMs (&lt;13B) are found to
be more sensitive to quantization [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ].
        </p>
        <p>
          In this paper, we investigate the efectiveness of
quantization on RAG-enhanced 7B and 8B LLMs. We evaluate
the full (FP16) and quantized (INT4) versions of multiple
LLMs on two personalization tasks taken from the LaMP
[
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] benchmark. To better study how quantized LLMs
perform in longer contexts, we compared the performance gap
between FP16 and INT4 models with an increasing number
of retrieved documents. We chose personalization because
it is a challenging task to perform with RAG as it demands
long-context reasoning over many documents. Contrary
to question-answering where the LLM has to find the
correct answer from a couple of documents, personalization
requires the LLM to carefully study a person’s style from
all the provided documents. Our findings show that the
efect of quantization depends on the model and the task:
we find almost no drop in performance for OpenChat while
LLaMA2 seems to be more sensitive. Our experiments show
that quantized smaller LLMs can be good candidates for
        </p>
      </sec>
      <sec id="sec-1-2">
        <title>RAG pipelines, especially if eficiency is essential.</title>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. Approach</title>
      <p>
        2.1. LLMs
Starting with LLaMA2-7B (Chat-hf) [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] to have a baseline,
we experiment with the following LLMs: LLaMA3-8B [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ],
Zephyr (Beta) [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], OpenChat (3.5) [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ], and Starling
(LMalpha) [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. These models were chosen because they were
the highest-ranked 7B and 8B LLMs in the Chatbot Arena
Leaderboard [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] according to the Elo ratings at the time
of writing. Since all models except LLaMA are finetuned
Give a score between [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4 ref5">1, 2, 3, 4, 5</xref>
        ] to the following review. Only output the score and
nothing else. Review: I purchased this elsewhere but wanted to leave my review
here. I LOVE this product. Score: 5
Here are a couple of review-rating pairs of a user: {examples}. With the given
examples, give a score between [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4 ref5">1, 2, 3, 4, 5</xref>
        ] to the following review by the same
user. Only output the score and nothing else. Review: I purchased this elsewhere but
wanted to leave my review here. I LOVE this product. Score: 5
Your task is to generate a title for the given abstract. You will only output the title and
nothing else. Abstract: Code diversification is an effective mitigation against
return-oriented programming attacks […] Title: Instruction Displacement: A Code
Diversification Technique for Improved ROP Mitigation
Here are a couple of abstract-title pairs of an author: {examples}. With the given
examples, generate a title for the given abstract by the same author. Only output the
title and nothing else: Abstract: Code diversification is an effective mitigation against
return-oriented programming attacks […] Title: Protecting Third-Party Binaries from
Code Reuse Attacks through Instruction Displacement
      </p>
      <sec id="sec-2-1">
        <title>2.2. Tasks and Datasets</title>
        <p>
          We use the LaMP benchmark that ofers 7 personalization
datasets with either a classification or a generation task
[
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. To represent both types of tasks, we chose one dataset
from each: LaMP-3 (“Personalized Product Rating”) and
LaMP-5 (“Personalized Scholarly Title Generation”).
LaMP3 is composed of product reviews and their corresponding
scores. For each user, one of the review–score pairs is
chosen as the target and other pairs become the user profile.
The LLM’s task, in this case, is to predict the score given
a review using the other review–score pairs of the same
user. LaMP-5 aims to generate a title for an academic paper
based on the abstract. In this case, the user profile consists
of abstract–title pairs that demonstrate the writing style
of the user (scholar). The task of the LLM is to generate
a title for the given abstract by incorporating the writing
style of the scholar. Those datasets were chosen because
compared to the other ones, on average, they had more
samples in their user profiles, and the samples were longer.
Therefore, they represented a better opportunity to evaluate
RAG efectiveness as the retrieval part would be trickier.
        </p>
        <p>
          We work with the user-based splits (LaMP-3U,
LaMP5U) where the user appears only in one of the data splits
[
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. The labels for the test sets are not publicly available
(results can be obtained by submitting the predictions to
the leaderboard) and since we did not fine-tune our models,
we chose to use the validation sets for evaluation. For both
datasets, we noticed that some samples do not fit in the
context windows. After analyzing the overall length of the
samples, we concluded that those cases only represent a
tiny minority and removed data points that are not in the
0.995th percentile. For LaMP-5U, we also removed abstracts
that consisted only of the text “no abstract available”. There
are 2500 samples in the validation sets, and we have 2487
samples left after the preprocessing steps for both datasets.
2.2.1. Evaluation
We used mean absolute error (MAE) for LaMP-3 and
RougeL [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ] for LaMP-5, following the LaMP paper [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ]. Their
experiments also include root mean square error (RMSE) and
Rouge-1 scores, but we found that the correlation between
1Although there is an updated v0.2 version of Mistral-7B, we used v0.1
to match the other LLMs that are finetuned on it
MAE and RMSE is 0.94, and between Rouge-1 and Rouge-L
is 0.99. Therefore, we do not include those metrics in our
results. The prompts we use are shown in Figure 1. Even
though the LLMs are instructed to output only the score
or the title, we notice that some are prone to give lengthy
answers such as “Sure, here is the title for the given abstract,
Title: (generated title)”. We apply a post-processing step on
the LLM outputs to extract only the score or the title before
evaluation.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.3. Retrieval</title>
        <p>
          We conduct the experiments with the following number
of retrieved documents:  ∈ {0, 1, 3, 5,  _4 ,  _8 } . 0
refers to zero-shot without any retrieval and  is the
maximum number of documents that can be put into the
prompt, given the context window of the LLM. LLaMA2 has
a context window of 4096 tokens while other models have
8192 tokens. To make it fair, we include two options for
the  setting: 4K and 8K. For  _4 , we assume that all
models have a 4096 token context window, we use the
original 8192 token context windows for  _8 . Consequently,
LLaMA2-7B is not included in the  _8 experiments. To
put it into perspective, the number of retrieved documents
varies between 15-18 for  _4 , and between 25-28 for
 _8 in LaMP-5U, depending on the average length of
documents in the user profile. As retrievers, we evaluate
BM25 [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ] (BM25 Okapi) 2, Contriever [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ] (finetuned on
MS-Marco), and DPR [
          <xref ref-type="bibr" rid="ref26">26</xref>
          ] (finetuned on Natural Questions) 3.
Since we focus on eficiency by reducing the computational
load, the retrievers are not finetuned on the datasets.
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Results</title>
      <p>3.1. LLMs
The results are shown in Table 1. We see the dominance
of OpenChat in both datasets. Zephyr performs very close
to OpenChat in LaMP-3U but falls far behind in LaMP-5U.
The same can be said for Starling but reversed.
Mistral7B performs stable in both datasets albeit being slightly
behind OpenChat. Overall, LLaMA2 performs the worst
as it is below average in both datasets. Despite being the
dominant small LLM currently, LLaMA3 is not the best for
both tasks, despite performing reasonably well in
LaMP3U. Interestingly, LLaMA3 has the best zero-shot score in</p>
      <sec id="sec-3-1">
        <title>2https://pypi.org/project/rank-bm25/</title>
        <p>3https://huggingface.co/facebook/dpr-question_
encoder-single-nq-base
(a) MAE results for LaMP-3U, the lower the better
(b) Rouge-L results for LaMP-5U, the higher the better</p>
        <sec id="sec-3-1-1">
          <title>3.2. Quantization</title>
          <p>How much an LLM gets afected by quantization seems to be
related to how well it performs the task. OpenChat sufers
almost no performance degradation from quantization. On
the contrary, LLaMA2 seems very sensitive, especially when
the number of retrieved documents is increased. Starling
sufers no significant consequence from quantization in
LaMP-5U where it performs well, but it does sufer in
LaMP3U. There also seems to be a disparity between the tasks as
quantized LLMs perform much worse in LaMP-3U than in
LaMP-5U.</p>
        </sec>
        <sec id="sec-3-1-2">
          <title>3.3. Number of retrieved documents</title>
          <p>with retrieved documents. The LaMP-3U results (Figure 2a)
continue to improve after adding more than 5 documents as
can be observed from  _4 scores, but MAE also starts
to get worse for  _8 .</p>
          <p>We analyze whether a longer context window hurts the
quantized variants more and find that there seems to be a
peculiar relationship. INT4 LLaMA2 sufers from longer
contexts, while INT4 OpenChat performs well and acts
almost the same as its FP16 counterpart. INT4 Mistral and
LLaMA3 act very similar to their FP16 counterparts in
LaMP5U but in LaMP-3U, they get progressively worse with more
documents. Overall, quantization can increase the risk of
worsened long-context capabilities but there is not a direct
relationship as it is highly task and context-dependent.</p>
        </sec>
        <sec id="sec-3-1-3">
          <title>3.4. Retrievers</title>
          <p>Figure 2 shows that the three retrievers gave almost
identical results, albeit BM25 being marginally behind the
others. Also in LaMP-5U, the gap between the FP16 and INT4
LLaMA2 varies slightly. Other than that, the retriever model
does not have a noticeable impact on the personalization
tasks we experimented with. The patterns we found
regarding LLMs, quantization, and the number of retrieved</p>
        </sec>
        <sec id="sec-3-1-4">
          <title>3.5. Benchmark comparison</title>
          <p>
            Finally, we compared our findings with the RAG results from
LaMP [
            <xref ref-type="bibr" rid="ref15">15</xref>
            ]. Table 2 shows that OpenChat (Contriever,  = 5 )
can beat FlanT5-XXL in LaMP-3U and performs very close in
LaMP-5U. More importantly, its quantized counterpart has
very similar results. Since we do not have the per-sample
scores for the baseline models from LaMP, we perform a
one-sample t-test on the Rouge-L scores. The corresponding
 value of 0.29 shows a non-significant diference between
the results. Moreover, the results from the LaMP paper are
with finetuned retrievers while our results are with
nonifnetuned retrievers. This indicates that a quantized-7B
LLM can compete and even outperform a bigger model on
personalization with RAG.
          </p>
          <p>Table 2 shows how much GPU VRAM is needed to deploy
each model. With this comparison, the benefit of
quantization becomes more pronounced: multiple high-level
consumer GPUs or an A100 is necessary for running even a
7B LLM while a mid-level consumer GPU (eg. RTX 3060)
would be enough to run it with quantization. According to
the scores taken from LaMP, both FlanT5-XXL and
OpenChat decisively beat ChatGPT, but the authors warn that the
prompts used for ChatGPT may not be ideal and may
contribute to a sub-optimal performance. Therefore, our results
should not be used to make a comparison with ChatGPT.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>
        Our results show that some LLMs (in particular OpenChat)
can be successful in RAG pipelines, even after
quantization, but the performance is LLM- and task-dependent.
The method of quantization afects LLMs diferently [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
Thus, the relationship between quantization and RAG
performance is not straightforward and can be studied more
extensively. Still, our results indicate that when a small LLM
performs the task well, its AWQ-quantized counterpart
performs on par.
      </p>
      <p>
        The difering performance of some LLMs between the
datasets may be partly due to prompting. LLMs are sensitive
to prompts, and a prompt that works for one LLM may not
work for another one [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ]. The most peculiar result is the
lackluster performance of LLaMA3 in LaMP-5U. LLaMA3
is a recently released model trained with an extensive
pretraining corpus [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. It has a higher chance of seeing the
abstracts presented in the LaMP-5U in its pretraining data.
This may explain its superior zero-shot performance. LLMs
sufer from a knowledge conflict between their
parametric information and the contextual information presented
through retrieval [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. If LLaMA3 had already memorized
some of the titles of the abstracts in LaMP-5U, it might
result in a knowledge conflict when similar abstract-title pairs
of the same author are presented. This may explain the
reduced improvement in its performance with retrieval.
      </p>
      <p>
        LLMs have been shown to struggle with too many
retrieved documents [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], and our findings are in accordance.
Our results indicate that more than &gt; 5 documents do not
help and can even hurt performance. From prior studies,
we know that LLMs focus more on the bottom and the top
of their context window [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. We progressively put the most
relevant documents starting from the bottom to the top.
Therefore especially for  =  settings, the less relevant
documents are put on the top. This situation might hurt
the LLM performance as it would focus on the most and
the least related information in this case. That being said,
state-of-the-art LLMs with more than 7B parameters also
sufer from the same phenomenon even when not quantized
[
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Although quantization increases the risk of worsened
long-context performance, we cannot conclude that it is the
sole perpetrator, as this is an inherent problem for all LLMs.
      </p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>We have shown that quantized smaller LLMs can use RAG
to perform complex tasks such as personalization. Even
though quantization might decrease the ability of LLMs to
analyze long contexts, it is task- and LLM-dependent. An
LLM that performs well on a task does not lose much of its
long-context abilities when quantized. Thus, we conclude
that quantized 7B LLMs can be the backbones of RAG with
long contexts. The reduced computational load obtained
from quantization would make it possible to run RAG
applications with more afordable and accessible hardware. For
future work, more quantization methods can be included
in the experiments to see if the findings can be replicated
across diferent methods. We can also extend the number
set of k, especially between  = 5 and  =  _4 , and
change the order of the documents to better understand
how quantized LLMs use their context windows.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgments</title>
      <p>This research is part of the project LESSEN with project
number NWA.1389.20.183 of the research program NWA_ORC
202021, which is (partly) funded by the Dutch Research
Council (NWO).</p>
    </sec>
  </body>
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