Few Shot Learning via Multiple Teacher Knowledge Distillation
Yuwen Jie
a
School of Cyber Science and Engineering, Southeast University, Nanjing, China
Keywords: Few Show Learning, Knowledge Distillation, Transfer Learning.
Abstract: Machine learning enables computers to discover patterns in large datasets and use them for recognition or
prediction. A model's performance typically depends on the amount of data available; sufficient training
samples ensure good generalization. However, in many applications, acquiring large amounts of labeled data
is costly and time-consuming, and in fields like healthcare or autonomous driving, labeled samples can be
scarce. This raises the important challenge of training effective models with only a few samples. Few-shot
learning addresses this challenge by aiming to perform tasks with very few training examples, learning and
generalizing from just a few or even a single sample. The paper designs a novel method that combines
Knowledge Distillation and Few-Shot Learning to improve model performance with limited data. By
leveraging intermediate features from the teacher model and applying Multiple Teacher-Student Architecture,
the paper’s approach enhances feature extraction and adaptation in few-shot scenarios. This method achieves
premier results on the various dataset, demonstrating the effectiveness of feature distillation in Few-Shot
Learning tasks.
1 INTRODUCTION
In applications which require intensive data, Machine
Learning is widely applied and achieved significant
success. However, when the available dataset is
small, model performance is often limited. In reality,
obtaining large amounts of training samples is both
difficult and expensive, making it crucial to study
how to learn effectively under limited data
conditions. Few-Shot Leaning (FSL), which is a new
learning method to train with limited supervised
example was proposed(Fei-Fei et al., 2006; Fink,
2004). FSL's objective is to make it possible for
models to fast adapt to new tasks using only a few
samples. Current FSL approaches can be categorized
into three types: non-episodic approaches that pre-
train on base classes and then fine-tune on new
classes (Dong et al., 2022), beta learning methods
based on meta-learning, where the model learns how
to learn (Finn et al., 2017), and metric-learning
methods that categorize by directly analyzing the
consistency of query images and support classes
(Snell et al., 2017).
Additionally, Transfer learning has been
extensively employed in image classification tasks as
a
https://orcid.org/ 0009-0000-0304-8622
a means of avoiding the need to train models from
scratch. By leveraging models pre-trained on large
datasets, transfer learning helps models significantly
enhances the performance of few-shot learning (Sung
et al., 2022; Mehrotra et al., 2020; Lotfollahi et al.,
2022).
The paper proposes a novel method that combines
Knowledge Distillation (KD) with few-shot learning.
While most previous KD research has focused on
logical distillation, which trains student models by
reducing any KL divergence in the output probability
distributions of the teacher and student models.
However, feature distillation where intermediate
teacher’s features are used to guide the student model
has been proved to outperform logical distillation in
several tasks (Romero et al., 2014). Despite its
superior performance, feature distillation has rarely
been applied to few-shot learning. Therefore, the
main contributions of the paper include:
1. Introducing feature distillation into few-shot
learning. By leveraging the teacher model's logic
distribution and intermediate features, the paper
further improves the performance of the few-shot
learning model.
Jie and Y.
Few Shot Learning via Multiple Teacher Knowledge Distillation.
DOI: 10.5220/0013515000004619
In Proceedings of the 2nd International Conference on Data Analysis and Machine Learning (DAML 2024), pages 239-245
ISBN: 978-989-758-754-2
Copyright © 2025 by Paper published under CC license (CC BY-NC-ND 4.0)
239
2. This method introduces multi-teacher
distillation into few-shot learning tasks. By utilizing
multiple teacher models, the student model is able to
learn diverse and complementary information from
different teachers, resulting in more robust feature
representations. Unlike traditional single-teacher
distillation, the multi-teacher setup allows for better
capture of task diversity, thereby enhancing the
student model’s generalization ability.
3. The potential of combining feature distillation
with few-shot learning is demonstrated through the
best performance metrics in image classification tasks
achieved by this method on various datasets.
2 RELATED WORKS
2.1 Knowledge Distillation
KD was first introduced by in (Hinton, 2015), where
a complex and excellent model(also called teacher
model) trained to provide knowledge to a slim
model(also called student model) through distillation
training. It allows the knowledge of a complex
teacher model to be transferred to a simpler student
model with minimal performance loss. Hinton
proposed the class probability with parameter T, also
known as "soft targets." Soft targets carry more
generalized information than hard targets. Initially,
knowledge distillation only focused on learning from
the teacher model's soft labels to produce a
lightweight student model, but as teacher models
grew deeper and more complex, learning solely from
soft labels became insufficient.
Currently, knowledge distillation methods focus
on two aspects: logical distillation (Komodakis &
Zagoruyko, 2017; Benaim & Wolf, 2018) and feature
distillation (Romero et al., 2014; Komodakis &
Zagoruyko, 2017; Kim et al., 2018; Chen et al., 2021).
The teacher model's knowledge can include more
than just its logical output, features from intermediate
layers, parameters, and even the connections between
layers can be considered knowledge. Both final-layer
outputs and intermediate outputs can teach student
model to learn. Knowledge based on feature can
complement response-based knowledge and is useful
for training slim networks. FitNets introduced
intermediate representations (Romero et al., 2014),
selecting an intermediate layer from the teacher
model to guide the hidden layer output of the student
model. Inspired by (Romero et al., 2014), subsequent
research proposed various methods to use teacher
model intermediate layers (Komodakis & Zagoruyko,
2017; Kim et al., 2018; Chen et al., 2021). Zagoruyko
et al. proposed using attention maps to represent
knowledge; Kim et al. introduced convolutional
translators as more interpretable intermediate
representations (Kim et al., 2018). Chen et al.
proposed cross-layer KD, adaptively assigning layers
in the student network to layers in the teacher network
using attention mechanisms (Chen et al., 2021).
Additionally, feature extraction-based methods often
overlook the importance of logical distillation, which
Zhao et al. emphasized by rephrasing classical KD
loss to highlight logical distillation’s importance
(Zhao et al., 2022).
2.2 Few Shot Learning
Few-shot learning was proposed in (Fei-Fei et al.,
2006; Fink, 2004) as a new machine learning
paradigm for learning from limited supervised
examples. One approach to FSL is data augmentation
(Lake et al., 2015; Wang et al., 2019), which involves
transformations such as translation, flipping, and
shearing, or data synthesis and feature enhancement.
These methods enlarge the dataset, but their design
requires expert domain knowledge and high labor
costs. Another category is meta-learning-based
methods, where the model learns to learn. Finn et al.
proposed a model-agnostic meta-learning framework
(MAML) (Finn et al., 2017), which performs a few
gradient updates across multiple tasks to find the
optimal initialization parameters across all tasks.
These allow the model to adapt quickly to new tasks
with minimal gradient updates and achieve good
performance. Other meta-learning-inspired methods
like MetaDet use a meta-model to learn predict-class-
specific parameters from few-shot data (Wang et al.,
2019), enabling accurate object detection in new
classes. Zhang et al. designed a new associated meta-
learning strategy (Zhang et al., 2022), Meta-DETR,
which use the association aggregation module (CAM)
combined with task encoding to integrate the
supported category information into the query
features, and then encode and decode through the
Transformer to adapt to new classes in few-shot tasks
for efficient object detection.
Previous research has shown that transfer learning
make model avoid training from scratch possible by
adapting to new tasks fast (Sung et al., 2022;
Mehrotra et al., 2020; Lotfollahi et al., 2022).
Transferring learning has been widely proven to be
effective through KD, where the teacher model
instructs the student model. The core task of few-shot
learning is enabling the model to fit on very few
samples and generalize well. The dark knowledge
provided by the teacher model’s soft lable in KD are
DAML 2024 - International Conference on Data Analysis and Machine Learning
240
crucial for FSL models with only a few hard targets,
helping prevent overfitting and improving task
generalization. Therefore, some recent studies have
attempted to combine KD and FSL, typically by using
the teacher model to augment the data (Rashid et al.,
2020; Rajasegaran et al., 2020; Yoo et al., 2021). In
contrast, the paper applies feature based distillation to
FSL, fully utilizing the feature extraction capabilities
of powerful teacher models to improve student model
performance under few-shot conditions.
3 METHOD
3.1 Pre-Train
Typically, to perform few-shot learning, the model
needs to be pre-trained on a source domain dataset
𝑆
={(𝑥
,𝑦
),...,(𝑥
,𝑦
)}, and then trained on the
target domain dataset 𝑆
={(𝑥
,𝑦
),...,(𝑥
,𝑦
)},
(𝑥
𝑦
) represents the i-th sample 𝑥
and label 𝑦
in
the dataset. If only 𝑆
is used for training, the model
will struggle to converge. The pre-training phase
involves mixing the source domain data with the
target domain data, which has limited samples, to
create a mixed domain dataset 𝑆
=𝑆
+𝑆
, and
train the teacher backbone using 𝑆
. This allows the
teacher model to better grasp the low-level feature
representations, such as edge information and texture
information, across different categories, preventing
the model from overfitting. The student's ability to
generalize well even with a few samples is greatly
enhanced by the presence of a well-trained teacher
backbone in the subsequent steps, which can transfer
its low-level feature extraction capability to the
student backbone through KD.
3.2 Attention-Weighted Distillation Loss
During the distillation process, the first step is to let
the teacher model perform inference on the data, save
the output prediction results (soft labels), and then
train the smaller model. Soft labels differ from the
hard labels typically used in model training and
contain similar information between different classes.
However, directly using soft labels to train the student
model can easily ignore the relationships between
different classes. This is because the output of the
teacher model is typically a probability distribution
calculated through the Softmax function. By default,
the Softmax function tends to concentrate the output
distribution on one or a few most likely categories,
resulting in a sharp probability distribution, where
most categories have probabilities close to zero.
However, by introducing a temperature coefficient
𝑇
to the Softmax, the output probability distribution of
Softmax becomes smoother (Hinton, 2015). The
Softmax with the temperature parameter T can be
represented as:
𝑝
=
exp
(
𝑧
/𝑇
)
exp𝑧
/𝑇
(
1
)
Where 𝑧
is the unnormalized score (logit) for
class i.
When 𝑇 >1, the probability distribution becomes
smoother, and the differences between class
probabilities decrease. The student model is better
able to capture subtleties during training with a
smooth probability distribution that provides more
information about the similarities between different
classes. After introducing the temperature coefficient
𝑇 into the Softmax function, the output probability
distribution is 𝑃
={𝑃
,...,𝑃
}, and the output of
student’s is 𝑃
={𝑃
,...,𝑃
}, P
i
representing the
probability of class i. The key to training with soft
labels is the KL divergence . The loss is calculated to
determine the disparity between the probability
distribution of output in student and the soft labels
from the teacher model.

=𝐷𝐾

(𝑃
||𝑃
)=(

𝑃
)(𝑙𝑜𝑔
𝑃
𝑃
)
(
2
)
In equation (2) C represents the number of
classes.
The final distillation loss is obtained by
combining KL divergence and task-specific loss:

=𝛼

+𝛽

(
3
)
This method designed a feature loss to measure
the differences in intermediate layers between the
student and the teacher. Let the feature maps of the
teacher model be denoted as 𝐹
{𝐹
,𝐹
,...,𝐹
,𝑃
}
and the student model’s are 𝐹
{𝐹
,𝐹
,...,𝐹
,𝑃
}.
The one-to-one matching method is defined as:
=𝐷

(𝐹
,𝐹
)
(
4
)
D is a function that calculate the distance used to
determine the difference between the student and
teacher models (such as Euclidean distance or other
metrics)
Specifically, equation (4) assumes that channels
in the feature maps that come from teacher and
student model are the same. To map features into
target representations, a transformation o is necessary
Few Shot Learning via Multiple Teacher Knowledge Distillation
241
for channels that differ, and equation (4) can be
expressed as:
=𝐷

(𝑜(𝐹
),𝑜(𝐹
))
(
5
)
The paper’s goal is to minimize
. When the
architecture of the teacher and student models differ
significantly, or multi-layer information needs to be
considered, a simple one-to-one matching might not
be enough to effectively transfer knowledge. To
better achieve knowledge distillation, it is usually
necessary to combine multi-layer knowledge. After
introducing multi-layer distillation, the loss in multil-
layer can be defined as:

=(

𝐷

(𝑜(𝐹
),𝑜(𝐹
)))
(
6
)
Different layers have different effects on the
student's learning based on the features of the teacher
model. Some layers' features are more important than
others, and simply accumulating the features from all
layers can lead to these important features being
overlooked. By introducing attention weights, the
model can adaptively assign different weights to the
features of each layer, allowing the important features
to receive more attention while the less important
features are appropriately suppressed. Therefore, the
paper designed Attention-Weighted Distillation
Loss (AWD), which balances multi-layer knowledge
with dynamic weighting instead of simply
accumulating it. AWD is defined as:

=𝐷(

𝑜(𝐹
),𝛼
,

⋅𝑜(𝐹
))
(
7
)
where 𝛼
,
is the attention weight, and the
definition of 𝛼
,
is:
𝛼
,
=
𝑒𝑥𝑝 (𝐹
⋅𝐹
)
𝑒𝑥𝑝

(𝐹
⋅𝐹
)
(
8
)
Finally, the paper define the overall loss function
as:
ℓ=𝛾

+(1−𝛾)

(
9
)
3.3 Multiple Teacher-Student
Architecture
Previous KD work has focused on the framework of
single teacher-single students (Komodakis &
Zagoruyko, 2017; Chen et al., 2021; Zhao et al.,
2022). This is because, under conditions of limited
computational resources and insufficient data, this
method has shown relatively good performance, and
it is easy to implement in practice. A single teacher
model can provide strong supervision by transferring
complex knowledge representations to a smaller
student model, thus improving the student model’s
learning ability. However, in FSL scenarios, the
single teacher distillation method has certain
limitations. Due to insufficient training data, the
teacher model often fails to fully capture the diversity
and fine-grained characteristics of the data, leading to
insufficient transfer of knowledge and limiting the
student’s ability to generalize.
This paper suggests a method called MTKD
(multiple teacher-student) to address this issue. The
student model can learn from diverse perspectives
and dimensions in FSL scenarios when the multiple
teacher models are combined. Each teacher model
can provide diverse feature representations, helping
the student model to achieve a more comprehensive
learning process. Multiple teacher models generate
various knowledge. Distilling with multiple teachers,
which is different from a single teacher, the student
model can better handle the diversity and complexity
of tasks under few-shot conditions. The multiple
teacher-student framework effectively enables the
student model to build a stronger learning foundation
in limited data settings, compensating for the
shortcomings of a single teacher.
Table 1: Accuracy of teacher model on ImageNet Dataset.
Model Dataset Top-1(%) Tok-5(%)
ResNet-50 ImageNet 77.6 93.2
DenseNet-121 ImageNet 76.2 92.6
Table 2: Accuracy of few-shot learning tasks in the 1-shot settings.
Model Mini-ImageNet Omniglot CUB
MTKD(Ours) 67.40±0.18 97.74 ± 0.15 70.44 ± 0.25
MAML
(
Finn et al., 2017
)
56.72±0.22 96.50 ± 0.30 61.52 ± 0.20
ProtoNet
(
Snell et al., 2017
)
60.74±0.19 97.62 ± 0.20 65.31 ± 0.25
SAML
(
Hao et al., 2019
)
61.61±0.20 97.30 ± 0.15 66.07 ± 0.20
DAML 2024 - International Conference on Data Analysis and Machine Learning
242
MetaO
p
tNet
(
Gon
g
, 2023
)
62.79±0.20 97.53 ± 0.15 66.49 ± 0.20
Tranfer Learning+Finetune 65.95±0.20 98.45 ± 0.15 69.53 ± 0.20
Table 3: Accuracy of few-shot learning tasks in the 5-shot settings.
Model Mini-ImageNet Omniglot CUB
MTKD(Ours) 81.83±0.20 98.64 ± 0.15 82.50 ± 0.21
MAML
(
Finn et al., 2017
68.81±0.19 98.59 ± 0.22 74.21 ± 0.21
ProtoNet
(
Snell et al., 2017
)
79.19±0.22 98.82 ± 0.15 77.50 ± 0.19
SAML
(
Hao et al., 2019
)
78.91±0.17 98.72 ± 0.17 78.22 ± 0.22
MetaOptNet(Gong, 2023) 80.52±0.20 98.92 ± 0.17 79.39 ± 0.19
Tranfer Learning+Finetune 79.77±0.22 99.25 ± 0.16 80.26 ± 0.21
4 EXPERIMENTS
4.1 Implementation Details
In experiments, the paper adopted ResNet-50 and
DenseNet-121 as the teacher models, as these two
architectures possess different feature learning
abilities. ResNet-50, with its deeper hierarchical
structure, excels at capturing global features, while
DenseNet-121 enhances local feature extraction
through inter-layer feature reuse. Combining both
logics and features from these two teacher models, the
paper performed distillation training on the student
model, ResNet-18. The paper compared MTKD with
a baseline model that did not use distillation and was
directly trained on the small sample dataset, to
validate the effectiveness of MTKD in few-shot
learning scenarios.
In both the distillation and baseline training, the
paper conducted 1-shot and 5-shot learning tasks. The
teacher models were pre-trained on the full training
dataset, while the student model was trained under
one-shot and five-shot scenarios with guidance from
the teacher models. Paper’s method combined soft-
label distillation, hard-label supervision, and
attention-weighted feature distillation loss functions.
The student model was able to improve its feature
representation and generalization capabilities by
acquiring knowledge from both teacher models
during the distillation process.
The train process experiment employed a SGD
and use a baseline ResNet-18 model. Weight decay
occurs at a rate of 4e-4. Initially, the learning rate is
lowered to 0.01. Models were trained directly on the
one-shot and five-shot settings with different
methods. In the experiments, the paper used accuracy
as evaluation metrics.
4.2 Teacher Models on Source Dataset
The two teacher models performed exceptionally well
on the ImageNet dataset, as shown in Table 1,
indicating that they were able to capture key features
and class information in large-scale image
classification tasks. The Top-1 accuracy of ResNet-
50 was 77.6% and the Top-5 accuracy was 93.2,
while DenseNet-121 was 76.2% accurate in Top-1
and 92.6% in Top-5. Although ResNet-50 slightly
outperformed DenseNet-121, the difference in Top-5
accuracy between the two models is minimal,
indicating that both models have strong
generalization capabilities and can accurately identify
the correct class in most cases. This strong
classification performance makes these two models
well-suited as teacher models, providing effective
supervision signals for the student model in few-shot
learning tasks. Through these teacher models, the
student model can learn from rich feature
representations, overcoming the data scarcity issue in
few-shot learning and improving the overall
performance of the model.
4.3 Performance of Few Shot Learning
In Table 2, MTKD achieves higher accuracy across
all datasets compared to other methods in the 1-shot
learning tasks. On Mini-ImageNet and CUB, the
improvement is particularly evident when compared
to baseline methods like MAML and ProtoNet. This
demonstrates that MTKD can effectively extract key
features even with extremely limited data, regardless
of the small number of training samples. Unlike
MAML and ProtoNet, which tend to struggle with
distinguishing subtle inter-class differences when
sample sizes are small, MTKD, with the assistance of
teacher models, can extract features more efficiently
and generalize faster.
On the Omniglot dataset, MTKD also performs
exceptionally well, with accuracy significantly higher
Few Shot Learning via Multiple Teacher Knowledge Distillation
243
than other models. Although Omniglot is a relatively
simple dataset, the stable performance of MTKD on
this dataset further demonstrates its robustness. The
results indicate that MTKD not only excels at
learning from small amounts of data but is also
adaptable to different types of datasets, including
those with relatively simple or homogeneous classes.
However, it is also evident from the results that while
MTKD performs excellently on Omniglot, it does not
achieve the best performance among all methods. The
source dataset the teacher model used is ImageNet
and it is quite different from handwritten character
dataset, Omniglot. Obviously, there is a huge domain
gap.
According to Table 3, when performing 5-shot
learning tasks, the performance of all models
improves as the number of training samples increases.
However, MTKD continues to maintain its leading
position, especially on the Mini-ImageNet and CUB
datasets. This suggests that MTKD not only benefits
from having more samples but also consistently
maintains a significant performance gap compared to
other methods. The improved accuracy with more
samples further demonstrates MTKD's strong ability
to utilize additional information, improve
classification decisions, and reduce errors.
A key factor contributing to the enhanced
performance of MTKD is the use of distillation from
multiple teachers. By leveraging several teacher
models, the student model can assimilate diverse and
complementary insights from various sources,
leading to stronger feature representations. This
technique helps the student model improve its
generalization abilities, especially in situations where
the training data is limited or contains noise.
Although Transfer Learning + Finetune shows
competitive performance on the Omniglot dataset, its
performance is inconsistent across different datasets.
This inconsistency suggests that while transfer
learning helps leverage pre-trained knowledge, it may
struggle to adapt effectively to new categories and
tasks that differ from the source domain. In contrast,
MTKD is specifically designed for few-shot learning
tasks, making it more reliable and adaptable across
various scenarios.
Furthermore, the success of MTKD can also be
attributed to its ability to simultaneously learn both
local and global features. This allows the model to
capture fine details while also recognizing broader
patterns, giving it a distinct advantage over models
that focus predominantly on one aspect. This
balanced feature-learning approach ensures that the
model can adapt to a wide range of tasks, regardless
of the complexity of the dataset.
5 CONCLUSION
This study proposed and validated a FSL approach
based on KD. By utilizing ResNet50 and DenseNet-
121 as teacher models and ResNet18 as the student
model, the study effectively applied the principles of
knowledge distillation. This allowed the student
model, even with a limited amount of training data, to
achieve performance surpassing other few-shot
learning methods. Additionally, the paper designed a
comprehensive loss function, combining soft-label
loss, hard-label loss, and attention-weighted feature
distillation, which further enhances the student
model's feature learning capabilities while
maintaining prediction accuracy.
The experimental results show that after thorough
training of the teacher model on a large dataset,
distillation to the student model not only reduced the
model's parameter count and computational cost but
also significantly improved the student model's
generalization ability in few-shot tasks. Specifically,
in One-Shot and Few-Shot scenarios, the student
model achieved better performance after distillation
training compared to training independently on small
datasets and other few-shot learning methods. This
approach fully validated the effectiveness of
knowledge distillation in few-shot learning and
demonstrated its high practical value, especially in
resource-constrained applications. Future work will
further explore more sophisticated distillation
strategies, such as adaptive temperature parameter
adjustment, to achieve more robust model
performance across more tasks and datasets.
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