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Continual Learning with Elastic Regularization and Synthetic Replay for Federated MLLM Fine-Tuning

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Continual Learning with Elastic Regularization and Synthetic Replay for Federated MLLM Fine-Tuning

arXiv:2607.12112v1 [cs.LG] 13 Jul 2026

Jing Liu, Chenxuanyin Zou, Jiayang Ren, Gaoyun Fang, Chengfang Li, Yan Wang, Zhenchao Ma, and Bo Hu

Abstract—Federated fine-tuning of Multimodal Large Language Models (MLLMs) across distributed networks enables privacysensitive adaptation to evolving data streams, yet a fundamental obstacle prevents robust deployment in dynamic environments: catastrophic forgetting, wherein sequential task updates erase previously acquired knowledge across visual, linguistic, and crossmodal representations. Addressing this challenge is especially critical for autonomous networked AI operating in safety-sensitive domains, such as content moderation, where reliable retention of prior knowledge underpins system integrity. To overcome this, we propose Federated Continual Multimodal Learning (FedCMM), a framework that embeds continual-learning safeguards into the federated optimization loop at three complementary levels. At the parameter level, modality-aware elastic weight consolidation computes separate Fisher information matrices for the vision encoder, language backbone, and cross-modal projector, providing granular, asymmetry-aware protection against modality-specific forgetting. At the data level, each client trains a lightweight local generative replay module to synthesize raw-data-free embeddinglevel multimodal replay tuples without any raw data sharing. At the aggregation level, Task-similarity-aware gradient aggregation autonomously filters and reweights client updates by gradient cosine similarity, suppressing conflicting directions and stabilizing the global learning trajectory. Extensive experiments on two benchmarks demonstrate that FedCMM consistently outperforms recent baselines on accuracy and backward transfer, confirming that holistic, modality-aware optimization enables robust evolutive adaptation across heterogeneous networked AI deployments. Index Terms—Federated Learning, Continual Learning, Multimodal Large Language Models, Catastrophic Forgetting, Autonomous Optimization, Networked AI, Privacy Preservation

I. I NTRODUCTION

J. Liu is with the Department of Electrical and Computer Engineering, The University of British Columbia, Vancouver, BC V6T 1Z4, Canada, and also with the College of Future Information Technology, Fudan University, Shanghai 200433, China (e-mail: [email protected]). C. Zou and J. Ren are with the Department of Chemical and Biological Engineering, The University of British Columbia, Vancouver, BC V6T 1Z4, Canada (e-mails: {zcxy, rjy12307}@mail.ubc.ca). G. Fang is with the Dyson School of Design Engineering, Royal College of Science, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom (e-mail: [email protected]). C. Li is with the the Suzhou Institute of Biomedical Engineering and Technology (SIBET), Chinese Academy of Sciences, Suzhou 215163, China (e-mail: [email protected]). Y. Wang is with the School of Data Science and Engineering, East China Normal University, Shanghai 200062, China (e-mail: [email protected]). Z. Ma is with the Department of Electrical and Computer Engineering, The University of British Columbia, Vancouver, BC V6T 1Z4, Canada (e-mail: [email protected]). B. Hu is with the College of Future Information Technology, Fudan University, Shanghai 200433, China (e-mail: [email protected]).

HE proliferation of Multimodal Large Language Models (MLLMs) has marked a significant milestone in artificial intelligence, demonstrating unprecedented capabilities in understanding and generating content that integrates vision and language [1], [2]. Driven by these capabilities, MLLMs are increasingly pivotal in high-stakes, real-world applications ranging from medical diagnosis and autonomous driving to content moderation in safety-critical networked deployments [3], [4]. However, deploying and maintaining MLLMs in privacy-sensitive domains necessitates training methodologies that do not rely on centralized data storage. Federated Learning (FL) has emerged as a leading paradigm for privacy-preserving machine learning, enabling collaborative model training on decentralized data sources without exposing raw user data [5]–[7]. Consequently, the federated fine-tuning of MLLMs represents a critical frontier for developing adaptable and secure autonomous AI systems that can be continuously improved in dynamic network environments [8].

T

A fundamental challenge arises when these decentralized data streams are non-stationary, evolving over time as new concepts, tasks, or data distributions emerge. In such scenarios, MLLMs must be updated sequentially to stay current, a process known as continual learning that is fraught with the peril of catastrophic forgetting, wherein the model’s performance on previously learned tasks deteriorates drastically upon learning new ones [9], [10]. A comprehensive taxonomy of continual learning strategies has been established [11], yet most approaches were designed for centralized settings and do not address the federated, multimodal regime. The problem is particularly acute in safety-critical applications: a model proficient at detecting known forms of hateful content [3] must be updated to recognize new evolving patterns, while a disaster-response classifier must retain prior event categories as new crisis types emerge [4]. Addressing catastrophic forgetting within a federated framework is therefore not merely a technical curiosity but a practical necessity for building robust and reliable autonomous MLLMs. The intersection of continual learning and federated learning introduces a complex set of technical barriers. At its core, catastrophic forgetting stems from the stability-plasticity dilemma, where a model must be plastic enough to acquire new knowledge yet stable enough to retain old information [12]. Foundational continual learning methods developed for centralized settings, such as regularization-based approaches like Elastic Weight Consolidation (EWC) [13] and Synaptic Intelligence [14], or replay-based strategies that rehearse on stored exemplars [15], offer partial solutions. However, their

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direct application in FL is problematic: regularization methods efficient adapter representations [31]. At the data level, a often struggle to scale in the complex parameter spaces of raw-data-free rehearsal mechanism actively combats forgetting, MLLMs [16], while replay-based methods conflict with the extending exemplar replay [32] to a local generative synthesis core privacy principles of FL if raw data is stored or shared. paradigm suitable for federated LLM adaptation [33]. At the Moreover, the inherent statistical heterogeneity (non-IID data) aggregation level, a similarity-driven autonomous strategy mitacross clients in FL exacerbates forgetting, as divergent local igates interference from heterogeneous client updates, moving updates can destructively interfere with one another during beyond static parameter isolation [34] toward gradient-informed aggregation [17], [18]. coordination. By combining these three pillars, it becomes Practical implementation challenges further compound these possible to balance stability and plasticity in the complex, issues, particularly for MLLMs. A key difficulty lies in distributed, and evolutive training environment of MLLMs the multi-faceted nature of knowledge within these models: deployed across networked AI infrastructures. To address these challenges, we propose Federated Continual information is encoded not just within the vision encoder Multimodal Learning (FedCMM), a comprehensive framework and language model separately but also in the intricate crossdesigned to enable MLLMs to learn a sequence of tasks in a modal alignment modules, which introduce unique vulnerability federated setting while mitigating catastrophic forgetting. The to modality-specific forgetting and adversarial drift [19]. A core innovation of FedCMM lies in its tripartite architecture that continual learning strategy must therefore be modality-aware, harmonizes parameter-level regularization, data-level rehearsal, protecting critical parameters across all three components and server-level aggregation. First, we introduce Modalitywithout stifling the model’s ability to learn new cross-modal Aware Elastic Weight Consolidation (MA-EWC), a novel relationships. Furthermore, client drift becomes substantially regularization strategy that computes and protects critical more pronounced in a continual learning context [20]: in a parameters independently for the vision encoder, the language given round, some clients might be training on a new task while model, and the cross-modal projector. Granular per-modality others remain on older data, producing gradient updates that are misaligned in their objectives. Adaptive server-side optimization protection prevents destructive interference. Second, we design methods [21], [22] reduce drift in static settings but are not a Privacy-Preserving Federated Replay (PPFR) mechanism, designed for the evolving task objectives of continual learning. where each client trains a lightweight, local generative replay Client-side generative replay [23] can partially alleviate data- module to synthesize raw-data-free embedding-level replay level forgetting, yet synchronizing it across tasks in a privacy- tuples from past tasks. During subsequent training, clients use these replay tuples for rehearsal, effectively refreshing old preserving federated regime remains an open challenge. knowledge without sharing any raw data. Third, we develop Recent advancements in Federated Continual Learning (FCL) Task-Similarity-aware Gradient Aggregation (TSGA), a serverhave begun to tackle some of these issues. Methods such as side algorithm that weights client model updates based on their FedWeIT [24] and Learning without Forgetting (LwF) [25] gradient cosine similarity, down-weighting updates that are adapt knowledge distillation techniques to the federated setting, likely to conflict with the current learning trajectory and thus using the global model’s outputs on new data as soft labels to reducing inter-client interference. preserve old knowledge. Others directly apply regularization Our work offers several key contributions: by computing parameter importance on the server, while • We propose FedCMM, a federated continual multimodal learnFedProx-style methods [26] penalize deviations from the global ing framework designed to mitigate catastrophic forgetting model. More recent studies have expanded the landscape: during privacy-preserving sequential MLLM fine-tuning. AF-FCL selectively reuses prior knowledge under heteroge• We introduce three complementary components: MAneous task drift [27], FedCBDR improves replay balance for EWC for modality-specific parameter protection, privacyfederated class-incremental learning [28], cooperative multipreserving federated replay for synthetic rehearsal, and TSGA model training across heterogeneous devices addresses system for similarity-aware aggregation. heterogeneity from a signal-processing perspective [29], and • We conduct extensive experiments on two challenging Sec-MMFL studies privacy leakage and modality-specific continual federated benchmarks that show that FedCMM protection in multimodal federated learning [30]. Although outperforms strong federated continual learning baselines. these methods mark clear progress, they are still not designed The remainder of this paper is organized as follows. Sec. II for continual federated adaptation of large MLLMs with modality-aware consolidation, privacy-preserving multimodal reviews related work. Sec. IV presents the technical details replay, and aggregation-time conflict suppression handled in of our proposed FedCMM framework. Sec. V presents the experimental setup, main results, and analysis. Finally, Sec. VI one unified pipeline. concludes the paper and discusses future work. The limitations of existing methods motivate a new approach that synergistically integrates solutions to the core challenges of II. R ELATED W ORK multimodal forgetting, federated data heterogeneity, and privacy A. Regularization and Replay in Continual Learning exposure. Our key insight is that an effective autonomous optimization framework for networked MLLMs must operate Continual Learning (CL) aims to enable models to learn from at three distinct levels. At the parameter level, modality- a continuous stream of data without catastrophically forgetting aware regularization protects established knowledge through previously acquired knowledge [9]. The core challenge is parameter importance estimation [13] applied to parameter- balancing the stability required to retain old knowledge with the

LIU et al: CONTINUAL LEARNING FOR FEDERATED MLLM FINE-TUNING

plasticity needed to acquire new information [12]. Research in CL is extensive and can be broadly categorized into three main families. Regularization-based methods, such as EWC [13] and Synaptic Intelligence (SI) [14], introduce a penalty term into the loss function to constrain updates to parameters deemed important for past tasks. While effective, these methods can be computationally expensive and may underperform under significant task distribution shifts. In contrast, replay-based methods store a small buffer of exemplars from past tasks for rehearsal during the learning of new tasks [15]. Approaches like Gradient Episodic Memory (GEM) [15] and iCaRL [32] have demonstrated strong performance, but their memory requirements and, more critically, the privacy implications of storing raw data make them unsuitable for many real-world applications. A third category, parameter-isolation methods, allocates distinct subsets of model parameters for different tasks to prevent interference [34]. However, such methods often suffer from limited scalability and poor knowledge transfer between tasks. All these foundational CL strategies were designed for centralized training and cannot be directly applied in a federated setting due to privacy and communication constraints.

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of work has explored federated replay mechanisms. Given the privacy constraints of FL, generative replay has become a promising direction [23]. Recent work has further expanded FCL toward harder settings, including accurate forgetting under heterogeneous clients [27], online data streams [20], and balanced replay for class-incremental federated learning [28]. However, these approaches have predominantly been evaluated on unimodal benchmarks and do not address the modalityspecific interference, multimodal replay quality, and aggregation conflicts that arise in MLLM adaptation. Our work fills this gap by proposing a holistic framework specifically tailored for the multimodal setting. III. P RELIMINARIES FL enables model training on decentralized data without requiring data centralization. Consider a federated network of K clients, indexed by k ∈ {1, . . . , K}. Each client k possesses k a local dataset Dk = {(xi , yi )}N i=1 , where Nk = |Dk | is the number of local P samples. The total number of samples in the K network is N = k=1 Nk . The goal of FL is to collaboratively train a single global model with parameters w by minimizing a global objective function L(w), which is a weighted average of the local client objectives Lk (w):

B. Optimization Under Heterogeneity in Federated Learning K FL provides a framework for training models on decenX Nk min L(w) = Lk (w), (1) tralized data while preserving user privacy [6]. The seminal w N k=1 Federated Averaging (FedAvg) algorithm [5] introduced a simple yet effective procedure of local client training followed where L (w) = 1 P k (xi ,yi )∈Dk ℓ(f (xi ; w), yi ) is the local k by server-side model averaging. A primary challenge in FL is loss on client k’s N data, with f (·; w) representing the model’s managing statistical heterogeneity (non-IID data) across clients, prediction and ℓ(·, ·) being a task-specific loss function. The which can cause client drift and lead to poor convergence and canonical FL algorithm, FedAvg [5], iteratively performs the performance [17]. A significant body of work has sought to following steps: (1) a central server broadcasts the current address client drift. One line of research focuses on client-side global model w to a subset of clients; (2) each selected regularization; FedProx [26], for instance, adds a proximal client performs multiple local training steps on its data to term to the local loss function to limit the divergence of local obtain updated local parameters w ; (3) the clients send their k models from the global model. Another popular approach updated parameters back to the server, which aggregates them involves improving the server-side aggregation algorithm. For to produce the next global model w ← P Nk w . k k N example, FedAdam and FedYogi [21] adapt concepts from CL, also called lifelong learning, addresses the challenge of adaptive optimizers to the server’s update rule to achieve faster training a model on a sequence of tasks over time without access and more stable convergence. Similarly, SCAFFOLD [22] uses to the full data from previous tasks. Formally, the model is control variates to correct for client drift at both the client and exposed to a sequence of T tasks, T = {T , T , . . . , T }, where 1 2 T server levels. While these methods improve the robustness of each task T has an associated data distribution P (j) (x, y). The j FL on static, non-IID data distributions, they inherently assume primary challenge in CL is catastrophic forgetting, where the that the underlying tasks are fixed and are not designed to model’s performance on earlier tasks {T , . . . , T } degrades 1 j−1 handle the dynamic, non-stationary data streams encountered significantly after being trained on the current task T . The j in continual learning scenarios. objective of CL is to learn the parameters w(T ) for the model after the final task TT such that the model performs well C. Federated Continual Learning Under Task Drift across all tasks seen so far. A successful CL method must FCL has recently emerged to address the problem of balance plasticity, the ability to learn new knowledge from learning a sequence of tasks in a federated environment. Most the current task, with stability, the ability to retain knowledge existing FCL methods adapt centralized CL techniques to from past tasks. The federated continual multimodal learning the constraints of FL. For instance, LwF-style methods [25] setting integrates the challenges of FL and CL in the context of and FedWeIT [24] are federated adaptations of knowledge MLLMs. In this setting, a sequence of T distinct multimodal distillation, where the global model from a previous task tasks arrives over time. The data for each task Tj is distributed serves as a "teacher" to regularize the training of the new across the K federated clients, where each client k holds a local (j) model, thereby preserving old knowledge without requiring dataset Dk . Each data sample is a multimodal pair (xi , yi ), old data. Similarly, EWC-style methods extend regularization- where the input xi = (vi , ti ) consists of a visual component based consolidation to the federated setting [13]. Another line vi ∈ V (e.g., an image) and a textual component ti ∈ T (e.g.,

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Vision Encoder

Embedding Layer

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Task

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Client Updates

Aggregation Weights

Task Loss

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⋮ ⋮

Fig. 1: Overview of the FedCMM framework for privacy-preserving federated continual multimodal learning. For task Tj and communication round r, the (j−1) (j) (j−1) server broadcasts wr−1 to selected clients. Each client trains on Dk ∪ Bk , uses MA-EWC to protect modality-specific parameters wV , wL , and wP , and uploads the local update ∆wk . The server then computes TSGA scores sk , filters conflicting updates, aggregates accepted clients with weights αk to (j) form ∆wr , and broadcasts the updated global model for the next round and task, with replay buffers and continual task evolution maintained locally.

a text prompt). The model f (·; w) is an MLLM parameterized by w. When the system is learning task Tj , it is assumed that data from previous tasks {T1 , . . . , Tj−1 } is no longer directly available, and client data cannot be shared with the server or other clients due to privacy constraints. The global objective at the end of learning task TT is to find optimal model parameters w∗ that minimize the average loss across all tasks encountered: T

w∗ = arg min w

1 X (j) L (w), T j=1

(2)

PK N (j) (j) where L(j) (w) = k=1 Nk(j) Lk (w) is the global loss for task Tj . The core challenge is to minimize the objective in Eq. 2 under the dual constraints of (1) not having direct access to past task data and (2) adhering to the privacy-preserving communication protocol of federated learning.

(j)

wk that minimize a composite loss function on its local data (j) Dk and a set of locally generated embedding-level replay (j−1) tuples Bk from the previous task. The local objective for client k is: (j)

(j)

(j−1)

(j−1)

Lk (w) = Ltask (w) + γ Lreplay (w) + λ LMA-EWC,k (w) (3) (j)

where Ltask is the supervised loss on current-task real samples, (j−1) Lreplay is the embedding-level rehearsal loss (see Eq. 6), γ weights the replay contribution, and λ balances the MA-EWC regularization. After local training, the server aggregates the resulting client updates using the TSGA mechanism to produce the new global model w(j) . For clarity, we explicitly partition the trainable parameters as w = wV ∪ wL ∪ wP ,

wV ∩ wL = wV ∩ wP = wL ∩ wP = ∅ (4)

where the three subsets correspond to the vision encoder, the language backbone, and the cross-modal projector. In the MLLM forward pass, the vision encoder extracts visual IV. M ETHOD representations hV , which are mapped by the cross-modal A. Method Overview projector into the language embedding space as projected tokens To address the challenge of catastrophic forgetting in ĥV . Specifically, the projected tokens are concatenated with text federated continual learning for MLLMs, we propose FedCMM, token embeddings hT and jointly processed by the language a framework that integrates three synergistic components to backbone to produce the output logits. Since we employ Lowbalance knowledge stability and plasticity. As illustrated in Rank Adaptation (LoRA) [31] for parameter-efficient fineFig. 1, FedCMM embeds continual-learning safeguards directly tuning (PEFT), wV , wL , and wP refer specifically to the into the federated training loop. Each client combines current- trainable LoRA adapter parameters within each module, while task data with synthetic replay samples, constrains important the dense pre-trained backbone weights are kept frozen. The modality-specific parameters through MA-EWC, and uploads only its local model update. The server then evaluates update consistency through TSGA, suppresses conflicting directions, and broadcasts the aggregated global model for the next round and task. Formally, when learning the j-th task Tj , each participating client k aims to find local model parameters

LIU et al: CONTINUAL LEARNING FOR FEDERATED MLLM FINE-TUNING

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task and replay contributions to Eq. 3 are:

where

(j) Ltask (w) = E(x,y)∼D(j) [ℓ(f (x; w), y)],

(5)

k

(j−1)

LM,k (wM ) =

k

(6) Here f (x; w) is the standard MLLM forward on raw imagetext inputs, while femb (ĥV , ĥT ; w) injects the generated embeddings directly at the visual-token and text-prompt level, bypassing the input encoder; γ weights the replay contribution. B. Modality-Aware Elastic Weight Consolidation

(11)

M

(j−1)

Lreplay (w) = E(ĥV ,ĥT ,ŷ)∼B(j−1) [ℓ(femb (ĥV , ĥT ; w), ŷ)],

1 X (j−1) (j−1)∗ 2 FM,k,i (wi − wi ) . 2 i∈w

(j−1) where FM,k,i is the i-th diagonal element of the client-specific

FIM for module M . By separating the FIM computation, MAEWC can, for example, heavily penalize changes to critical vision parameters if the new task is visually similar to a past one, while allowing more flexibility in the language parameters if the new task introduces novel textual concepts. A modalityspecific approach thus provides a more effective safeguard against the nuanced forms of forgetting.

A primary challenge in applying continual learning techniques to MLLMs is the complex and modular nature of their architecture. Knowledge is distributed across a vision encoder, a C. Privacy-Preserving Federated Replay language model, and a cross-modal projector that aligns the two modalities. Standard regularization methods like Elastic Weight Rehearsal, or replaying exemplars from past tasks, is one Consolidation (EWC) [13] treat all model parameters uniformly. of the most effective strategies for mitigating catastrophic A uniform penalty is suboptimal because it overlooks that the forgetting. However, in the federated setting, storing and importance of parameters can vary significantly across different replaying raw data from previous tasks is infeasible due to modalities. Forgetting might occur in the visual understanding privacy constraints and storage limitations on client devices. part while the linguistic part remains stable, or vice-versa. To overcome this, we propose Privacy-Preserving Federated To address this, we introduce Modality-Aware EWC (MAReplay, a mechanism that leverages client-side generative EWC), which applies a more granular regularization by treating models to create synthetic embedding-level replay tuples while each core module of the MLLM independently. The total set avoiding raw-data exchange. After a client k completes its of trainable parameters w is partitioned into three disjoint (j) training on task Tj , it uses its local dataset Dk to train a subsets: vision parameters wV , language parameters wL , and (j) cross-modal projector parameters wP . For each subset, client lightweight, local replay generator Gk . Importantly, PPFR k computes a separate diagonal Fisher Information Matrix does not attempt to generate raw image pixels or free-form text (FIM) at the end of learning task Tj−1 . The FIM serves as a tokens. Instead, it operates in the frozen MLLM representation proxy for parameter importance, with larger diagonal values space and synthesizes multimodal replay tuples consisting of embedding, indicating parameters that are more critical for performance a visual-token embedding, a text-prompt prototype (j) on past tasks. The client-specific FIM for a parameter set wM and a replay label. In our implementation, Gk is a compact latent-noise module driven by Gaussian codes z ∼ N (0, I), a (where M ∈ {V, L, P }) is approximated as: 64-dimensional latent space, and an event-conditioned code. A   2 (j−1) (j−1)∗ FM,k = E(x,y)∼D(j−1) ∇wM log p(y|x; wM ) , (7) two-layer visual decoder maps the latent code to the MiniCPM k visual-token embedding space, while a prompt-prototype table At the element level, the diagonal approximation is accumulated with a small residual MLP produces the corresponding textual embedding. The replay label is obtained from the local event sample-wise as label during fitting and stored as a teacher-smoothed soft target. !2 (j−1)∗ X ∂ log p(y | x; wM ) 1 (j−1) The generator is trained locally for 5 fitting epochs at the FM,k,i ≈ (j−1) , (8) ∂wM,i |Dk | task boundary with a combination of embedding reconstruction, (j−1) (x,y)∈Dk image-text alignment, teacher KL, and cross-entropy losses. (j−1)∗ where wM are the optimal parameters for module M after When the next task Tj+1 is introduced, client k samples (j) (j) task Tj−1 . In the federated setting, each client k independently Gk to synthesize a small buffer of replay tuples Bk = (j−1) (j) |B| computes and stores its own modular FIM FM,k over its {(ĥV,i , ĥT,i , ŷi )}i=1 . Since Gk , the generated replay buffer, (j−1) local dataset Dk and retains the corresponding reference and the Fisher statistics remain local, PPFR avoids raw-data (j−1)∗ parameters wM,k , consistent with the per-client notation exchange, although it is not intended to provide a formal (j) buffer Bk is used in Alg. 1. The MA-EWC regularization loss is then the differential-privacy guarantee. The generated (j+1) then interleaved with the new task’s data Dk for local sum of the penalties for each module: training. Including these synthetic embedding-level samples in X X (j−1) 1 (j−1) (j−1)∗ 2 LMA-EWC,k (w) = FM,k,i (wi − wi ) , (9) the training process, as reflected in Eq. 3, allows the model 2 M ∈{V,L,P } i∈wM to rehearse prior event knowledge while avoiding storage or which can be rewritten as the sum of modality-specific transmission of raw multimodal posts. We formalize the replay synthesis process as penalties: (j−1)

(j−1)

(j−1)

(j−1)

LMA-EWC,k (w) = LV,k (wV ) + LL,k (wL ) + LP,k (wP ),

(10)

n (j) Bk = (ĥV,i , ĥT,i , ŷi )

o|B| (j) (ĥV,i , ĥT,i , ŷi ) ∼ Gk (zi , ci ), zi ∼ N (0, I) , i=1

(12)

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where ci is the sampled local event code used to condition replay generation. We define the replay-augmented dataset by (j+1) (j+1) (j) D̃k = Dk ∪ Bk .

(13)

D. Task-Similarity-Aware Gradient Aggregation In federated continual learning, client drift is exacerbated because the statistical heterogeneity across clients is compounded by temporal heterogeneity. At any given time, different clients might be training on different tasks or on data that represents different facets of the same task, leading to local updates that may conflict with each other. A naive federated averaging of these updates can lead to destructive interference, harming the global model’s performance on both old and new tasks. To address this, we introduce TSGA, a serverside mechanism to modulate the aggregation process. The core idea is to identify and down-weight client updates that are outliers, as they are likely to be either off-topic for the current learning objective or of low quality. After receiving the parameter updates ∆wk = wk − wg from each participating client k in a given round, the server first computes the average update direction: 1 X ∆wk ḡ = , (14) |S| ∥∆wk ∥ k∈S

where S is the set of participating clients. The server then measures the alignment of each client’s update with this average direction using cosine similarity: sk =

∆wk · ḡ . ∥∆wk ∥∥ḡ∥

(15)

Clients whose updates are poorly aligned with the consensus direction (i.e., have a low similarity score sk ) are likely to be sources of interference. We introduce a similarity threshold τ . Any client with sk < τ is considered an outlier and is excluded from the current round. The filtered participant set is S ′ = {k ∈ S | sk ≥ τ },

(16)

and, if this set is empty, the round falls back to S ′ = S to preserve a well-defined aggregation step even under highly conflicting two-client rounds. The filtered set is then used with normalized aggregation weights αk = P

Nk

i∈S ′

Ni

,

k ∈ S ′,

(17)

and the final global model is updated using a weighted average over only the clients in S ′ : X wg ← wg + αk ∆wk . (18) k∈S ′

By filtering out potentially disruptive updates, TSGA ensures a more stable and coherent learning trajectory for the global model, improving its ability to consolidate knowledge from diverse clients in a sequential learning environment. The complete FedCMM workflow is summarized in Alg. 1 and Alg. 2. The first algorithm captures the task-level server coordination, and the second details the client-side rehearsal and local update procedure.

Algorithm 1 FedCMM task-level server coordination. 1: Server executes: 2: Initialize global model parameters w(0) 3: for each task Tj for j = 1, . . . , T do 4: for each round r = 1, . . . , Rj do 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: 16: 17: 18:

Sr ← Select a random subset of C clients (j) Broadcast wr−1 to all clients in Sr Initialize empty list of updates U ← [] for each client k ∈ Sr in parallel do (j) ∆wk ← ClientUpdate(k, wr−1 , Tj ) Add ∆wk to U end for // Aggregate P with TSGA ∆wk ḡ ← |S1r | k∈Sr ∥∆w k∥ ′ Sr ← {k ∈ Sr | cosine(∆wk , ḡ) ≥ τ } if Sr′ = ∅ then Sr′ ← Sr end if P (j) ∆wr ← k∈Sr′ P Nk N ∆wk ′ i∈Sr

19: 20: 21:

i

(j) (j) (j) wr ← wr−1 + ∆wr

end for (j) w(j) ← wRj 22: Server signals clients to prepare for next task: 23: for each client k = 1, . . . , K in parallel do 24: Set client model to w(j) (j) (j) 25: Train local generator Gk on its data Dk (j) (j) 26: Compute FIMs FM,k on data Dk (j) 27: Store Gk and FIMs locally for use in task Tj+1 28: end for 29: end for 30: return w(T )

V. E XPERIMENTS Experiments were conducted on two federated continual social-event benchmarks in which every task is an image-text classification problem. The evaluation follows chronological event streams so that the model must preserve earlier event knowledge while adapting to later multimodal distributions. A. Datasets and Evaluation Metrics Datasets and Metrics. We use PHEME [35] and CrisisMMD [4], two social-media event datasets that support imagetext event understanding. PHEME contains rumor and breakingnews discussions collected from social media, with 6,273 text posts and 2,089 associated images across seven events. CrisisMMD contains crisis-related tweets from natural disasters, with 16,097 text instances and 18,126 images annotated for emergency-response categories. Following chronological eventincremental evaluation, events are ordered by time and grouped into three tasks with a [2, 2, 3] class split for each dataset, yielding T = 3 tasks per stream. All datasets are split into train/validation/test partitions with a 70/10/20 ratio. Unless otherwise noted, client data is partitioned across 10 clients with a Dirichlet label-skew distribution using concentration α = 0.5;

LIU et al: CONTINUAL LEARNING FOR FEDERATED MLLM FINE-TUNING

Algorithm 2 FedCMM client rehearsal and local update. 1: procedure C LIENT U PDATE(k, w, Tj ) (j)

Load local dataset Dk for task Tj 3: // PPFR: Generate embedding-level replay tuples 4: if j > 1 then (j−1) (j−1) 5: // Load Gk and FM,k from previous task (j−1) (j−1) 6: Bk ← Generate replay tuples using Gk 7: else (j−1) 8: Bk ←∅ 9: end if 10: // Local Training 11: Set local model to wk ← w 12: for each local epoch e = 1, . . . , E do (j) (j−1) 13: for each batch in Dk ∪ Bk do (j) (j−1) 14: Compute loss Lk using Eq. 3 with FM,k 15: Update wk with gradient descent 16: end for 17: end for 18: return ∆wk = wk − w 19: end procedure 2:

we additionally report the severe non-IID setting α = 0.1. Let Ai,j be the accuracy on task Tj after training up to task Ti . We adopt three standard continual learning PT metrics: i) Average Accuracy (Acc), computed as T1 j=1 AT,j ; ii) Backward PT −1 1 Transfer (BWT), computed as T −1 j=1 (AT,j − Aj,j ) to quantifyP forgetting; and iii) Forward Transfer (FWT), computed T 1 as T −1 j=2 Aj−1,j . Higher Acc and FWT are better, and BWT is better when closer to zero. B. Baseline Methods and Implementation Details We compare FedCMM against a comprehensive set of baselines: Joint Training (upper bound with all task data), Fine-tuning (sequential lower bound), FedAvg-CL [5], FedProxCL [26], LwF-FL [25], EWC-FL [13], FedWeIT [24], and GEMFL [15]. GEM-FL stores raw replay exemplars and is therefore treated as a privacy-violating rehearsal reference. We also include AF-FCL [27], a generative-replay method based on accurate forgetting, and TEKNet-FL [36], a federated adaptation of the temporal event knowledge learner. All experiments were implemented using PyTorch and Hugging Face Transformers. The base MLLM was openbmb/MiniCPM-V-2.6-int4. We employed PEFT with LoRA [31] using rank r = 8 and scaling factor 8. Each dataset is trained as a 3-task stream, with 50 federated rounds per task, 10 total clients, and 5 sampled clients per round unless otherwise stated. Local training uses paged AdamW with learning rate 2 × 10−5 , cosine decay, perdevice batch size 1, and 16 gradient-accumulation steps. Each selected client performs one local epoch per federated round. PPFR fits only the local replay generator for 5 epochs at each task boundary, using a 64-dimensional Gaussian latent code and an embedding-level replay budget of |B| = 100. The main hyperparameters are λ = 500 for MA-EWC and τ = 0.5 for TSGA, selected by the sensitivity analysis. Experiments were conducted on NVIDIA L60 GPUs.

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C. Main Results Table I reports the comparison under moderate and severe heterogeneity. On PHEME with α = 0.5, FedCMM reaches 86.3% Acc, improving over TEKNet-FL by 1.7% and over AF-FCL by 2.2%. The gain is not limited to the final event group: BWT improves from -10.2% for TEKNet-FL to -8.7%, indicating less damage to earlier events. Under the severe α = 0.1 split, all methods lose accuracy, but the ranking is not a simple shifted copy of the moderate case: GEM-FL has slightly higher Acc than AF-FCL, whereas AF-FCL has stronger FWT. FedCMM retains a 1.1% Acc lead and keeps BWT 0.4% closer to zero than TEKNet-FL. On CrisisMMD, FedCMM obtains 84.4% and 79.6% under α = 0.5 and α = 0.1, respectively, below the non-continual Joint Training upper bound but above the strongest continual baselines. Several close comparisons are dataset-dependent; for example, AF-FCL is slightly stronger than TEKNet-FL in severe CrisisMMD Acc, while TEKNet-FL gives better FWT on severe CrisisMMD and moderate PHEME, reflecting a trade-off between forward plasticity and forgetting resistance. GEM-FL is competitive because raw exemplars provide direct rehearsal, yet it stores original samples and is not a privacy-preserving federated option. The gaps are therefore not uniform across datasets or metrics: CrisisMMD benefits more from visually grounded evidence, while PHEME depends more on event-specific textual shifts and stance cues. Across both streams, the strongest improvements appear on BWT, suggesting that the proposed modules mainly reduce forgetting while preserving enough plasticity for later crisis and rumor events. D. Ablation Studies To validate each component’s contribution, we conducted ablation studies on PHEME under α = 0.5. Table II removes each component individually, and Table III analyzes the MAEWC design. Contribution of each component. As shown in Table II, FedAvg-CL reaches 73.8% Acc with a BWT of -22.7%, indicating severe forgetting under event-incremental PHEME. Adding all three components increases Acc to 86.3% and improves BWT to -8.7%. The component effects are not identical across metrics. Removing PPFR causes the largest retention loss, reducing Acc to 82.4% and worsening BWT to -13.6%, which indicates that embedding replay is the main anchor for old-event decision boundaries. Removing MAEWC gives 83.7% Acc and weaker FWT, suggesting that replay alone cannot fully stabilize modality-specific adapters. Removing TSGA gives 84.5% Acc; its BWT is slightly better than removing MA-EWC, but the full method still improves both retention and transfer. Notably, the nonparallel pattern across metrics is expected because replay, consolidation, and aggregation filtering affect different failure modes. The ablation pattern also shows that no single component fully explains the final performance: replay improves retention, MAEWC constrains module drift, and TSGA reduces server-side interference. Analysis of MA-EWC. Table III shows that the Fisher penalty must respect the MLLM module structure. Removing EWC

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TABLE I: Performance comparison on 3-task PHEME and CrisisMMD under moderate and severe non-IID partitions. The values in parentheses indicate the Dirichlet heterogeneity parameter α. Higher is better for Acc and FWT, while BWT is better when closer to zero. Best results are highlighted in bold.

PHEME (0.5)

Method

CrisisMMD (0.5)

CrisisMMD (0.1)

Acc ↑

BWT ↑

FWT ↑

Acc ↑

BWT ↑

FWT ↑

Acc ↑

BWT ↑

FWT ↑

Acc ↑

BWT ↑

FWT ↑

Joint Training Fine-tuning

89.2 68.4

— -29.1

— 0.4

89.2 65.7

— -32.4

— 0.0

91.4 62.6

— -30.8

— 0.5

91.4 56.1

— -36.8

— 0.4

FedAvg-CL [5] FedProx-CL [26] LwF-FL [25] EWC-FL [13] FedWeIT [24] GEM-FL [15] AF-FCL [27] TEKNet-FL [36]

73.8 75.4 77.1 78.6 80.4 83.2 84.1 84.6

-22.7 -20.9 -18.7 -16.8 -14.9 -12.0 -10.9 -10.2

0.8 0.7 1.2 1.0 1.5 1.9 1.8 2.3

68.9 70.2 72.6 74.9 76.9 79.6 79.4 80.7

-27.9 -25.6 -23.5 -20.1 -17.0 -14.5 -14.9 -13.0

0.4 0.5 0.9 0.8 1.2 1.2 1.7 1.6

70.9 72.0 75.9 77.1 79.4 82.2 82.6 83.4

-24.9 -23.8 -19.6 -18.7 -15.2 -12.0 -11.2 -10.5

1.0 1.3 1.4 1.4 1.7 2.2 2.1 2.3

65.1 67.3 69.7 72.4 73.5 76.9 78.1 78.0

-31.2 -28.1 -25.2 -22.2 -20.1 -16.0 -14.4 -14.7

0.7 0.6 1.1 1.0 1.6 1.9 1.7 2.4

FedCMM (Ours)

86.3

-8.7

2.0

81.8

-12.6

1.9

84.4

-8.8

2.5

79.6

-12.8

2.1

PHEME

88

CrisisMMD

PHEME

88

CrisisMMD

84 82

84 82 80

80

78

78

50

100

500

1k

2k

0.2

0.4

0.6

0.8

(b) TSGA threshold τ

PHEME

CrisisMMD

86

82

78

(a) MA-EWC coefficient λ

88

CrisisMMD

84

80

10

PHEME

86

Acc (%)

86

Acc (%)

86

Acc (%)

88

Acc (%)

PHEME (0.1)

84 82 80

0

20

50

100

150

(c) Replay buffer size ||

78

2

3

5

10

(d) Sampled clients per round C

Fig. 2: Parameter sensitivity of FedCMM on PHEME and CrisisMMD, where the four panels analyze hyperparameters λ, τ , |B|, and C. TABLE II: Result of component ablation on PHEME (α = 0.5).

Configuration

E. Parameter Sensitivity and Robustness

MA-EWC PPFR TSGA Acc ↑ BWT ↑ FWT ↑

Sensitivity to hyperparameters. Fig. 2 shows sensitivity analyses for four key hyperparameters. The curves are not perfectly symmetric because the two benchmarks fail in different ways: PHEME is dominated by cross-event semantic shift, while CrisisMMD is more affected by noisy image-text FedCMM ✓ ✓ ✓ 86.3 -8.7 2.0 alignment and class imbalance. For MA-EWC strength λ, both TABLE III: Result of MA-EWC ablation on PHEME (α = 0.5). datasets peak at λ = 500, but the decline after the peak is Configuration V L P Sep. Acc ↑ BWT ↑ FWT ↑ sharper on CrisisMMD. Increasing λ from 500 to 2000 reduces FedCMMno-EWC ✗ ✗ ✗ ✗ 82.8 -12.4 1.5 CrisisMMD from 84.4% to 80.3%, whereas PHEME decreases FedCMMuni-EWC ✓ ✓ ✓ ✗ 84.3 -10.9 1.7 from 86.3% to 84.2%. In particular, over-constraining adapters FedCMMV ✓ ✗ ✗ ✗ 83.1 -11.7 1.8 can suppress crisis-event adaptation even when it protects old FedCMML ✗ ✓ ✗ ✗ 83.9 -10.8 1.5 tasks. For the TSGA threshold τ , 0.5 gives the best result, but FedCMM ✓ ✓ ✓ ✓ 86.3 -8.7 2.0 the neighboring points are uneven: τ = 0.3 is more competitive Notes: V = Vision Encoder, L = Language Backbone, P = Projector, Sep. = Separate Fisher Matrices. on CrisisMMD (83.1%), whereas PHEME is less sensitive at τ = 0.7. The replay buffer trend is also nonuniform. Moving entirely gives 82.8% Acc and -12.4% BWT. A uniform EWC from no replay to |B| = 100 improves PHEME by 3.9% and penalty improves this to 84.3%, but still trails the full modality- CrisisMMD by 4.6%, but the intermediate gains differ across aware design. Single-branch protection is unstable and metric- datasets, and increasing to 150 does not help. Consequently, dependent: vision-only protection reaches 83.1% Acc but low-quality synthetic tuples can begin to dilute current-task gives relatively high FWT, while language-only protection supervision. Finally, sampling C = 5 clients per round is best, gives higher Acc and BWT but lower FWT. Notably, visual while the C = 3 and C = 10 gaps differ across datasets. In stabilization appears to help early adaptation to new events, aggregate, the pattern across all four parameters indicates that whereas language-side protection better preserves accumulated the default configuration is not an isolated lucky point; it lies rumor cues. The full model separately protects the vision in a stable region where consolidation, replay, and aggregation encoder, language backbone, and projector, reaching 86.3% filtering remain balanced. and the best BWT of -8.7%. In turn, the evidence supports Robustness to data heterogeneity. Fig. 3 confirms that the claim that forgetting in social-event MLLM adaptation is FedCMM remains more stable as the client label distribution distributed across visual, textual, and cross-modal alignment becomes skewed. On PHEME, FedAvg-CL decreases from modules. The separate Fisher design is therefore not only a 80.6% at α = 1.0 to 69.4% at α = 0.1, while FedCMM stronger regularizer, but also a better match to how multimodal decreases from 89.7% to 81.8%. Notably, the gap is not adapters store task-specific evidence. constant: it is 9.1% under the mild split, 12.5% at α = 0.5, and FedAvg-CL [5] FedCMMw/o-MA FedCMMw/o-R FedCMMw/o-G

✗ ✗ ✓ ✓

✗ ✓ ✗ ✓

✗ ✓ ✓ ✗

73.8 83.7 82.4 84.5

-22.7 -10.9 -13.6 -9.5

0.8 1.7 1.6 1.9

LIU et al: CONTINUAL LEARNING FOR FEDERATED MLLM FINE-TUNING

Acc (%)

Acc (%)

80 75

65 0.5

0.1

(a) PHEME

80 70

FedCMM

85

EWC-FL

FedAvg-CL

1.0

0.5

0.1

Sync. ↑

Async. ↑

∆↑

73.8 78.6

65.7 71.4

-8.1 -7.2

FedCMM

86.3

82.4

-3.9

70

60 1

2

3

4

1

2

(a) PHEME

(b) CrisisMMD

FedAvg-CL [5] EWC-FL [13]

75

65

60

Fig. 3: Robustness to client heterogeneity on PHEME and CrisisMMD. TABLE IV: Accuracy of task-order robustness on PHEME. ∆ denotes the accuracy drop from synchronized to asynchronous progression.

Method

FedAvg-CL

80

75

65

EWC-FL

90

80

70

FedCMM

FedCMM

85

70

1.0

FedAvg-CL

90

Acc (%)

FedCMM

85

Acc (%)

FedAvg-CL

90

9

3

4

(b) CrisisMMD

Fig. 4: Effect of local epoch number E on PHEME and CrisisMMD. TABLE V: Federated rounds to first reach 50% (R50 ↓) and 75% (R75 ↓) accuracy, and final accuracy at round 50 (Final↑) on PHEME and CrisisMMD.

PHEME

Method R50 ↓

R75 ↓

CrisisMMD Final ↑

R50 ↓

R75 ↓

Final ↑

Joint Training

89.2

91.4

FedAvg-CL [5] EWC-FL [13]

18 13

— 28

73.8 78.6

23 15

— 33

70.9 77.1

FedCMM

8

13

86.3

10

19

84.4

12.4% under severe heterogeneity. On CrisisMMD, FedAvg-CL falls from 74.0% to 65.6%, whereas FedCMM falls from 86.1% to 79.6%. A related asymmetry appears in the degradation pattern: the moderate-to-severe drop is larger than the mildto-moderate drop, especially for FedAvg-CL on CrisisMMD. Disaster events appear to have more heterogeneous visual evidence across clients. Importantly, the proposed method does not eliminate non-IID sensitivity; rather, it reduces the additional forgetting caused by skewed client updates. In turn, the results support the role of TSGA as a stabilizer rather than as a substitute for better client coverage. The remaining drop at α = 0.1 also shows that the evaluation is not saturated, leaving visible room for stronger personalization or adaptive client sampling. Robustness to task ordering. Table IV evaluates desynchronized client progression on PHEME, where 30% of clients lag one task behind at each boundary. Notably, the setting is harsher than ordinary label skew because stale clients optimize an earlier event distribution while synchronized clients have already moved to the next group. FedAvg-CL drops from 73.8% to 65.7%, and EWC-FL drops from 78.6% to 71.4%. FedCMM drops from 86.3% to 82.4%, losing less than 4%. A smaller degradation is consistent with the interaction between TSGA and PPFR: stale updates tend to have lower agreement with the round consensus, and replay keeps the retained clients from over-specializing to only the latest event. Beyond a simple heterogeneity test, the asynchronous setting specifically probes whether aggregation can tolerate clients being at different points in the continual stream. Moreover, the property is important for social-event deployments, where clients may receive delayed event evidence or skip event groups entirely.

but not by a fixed margin: FedAvg-CL loses 10.8%, EWC-FL loses 9.3%, and FedCMM loses 5.45%. The intermediate points also differ; for example, FedAvg-CL on PHEME is relatively flat from E = 2 to E = 3 before dropping at E = 4, whereas all methods on CrisisMMD show a steeper and more consistent decline. In particular, the nonparallel degradation shows that FedCMM is not merely an upward-shifted baseline. Replay and aggregation filtering reduce the damage caused by longer clientside optimization, but they do not make large local epochs harmless. For this reason, the default setting uses one local epoch for the MLLM update, while PPFR’s five fitting epochs apply only to the small replay generator at task boundaries. The result also suggests that increasing local computation is not a reliable substitute for communication in federated continual MLLM adaptation. Convergence efficiency. Table V reports the number of federated rounds needed to first reach 50% and 75% accuracy, and the final accuracy at round 50, under α = 0.5. At the 50% milestone, FedCMM converges in 8 rounds on PHEME and 10 rounds on CrisisMMD, achieving speedups of approximately 2.25× over FedAvg-CL (18 and 23 rounds) and 1.6× over EWC-FL (13 and 15 rounds). At the more demanding 75% target, FedCMM requires 13 and 19 rounds, while EWC-FL needs 28 and 33 rounds, roughly twice as many; FedAvgCL cannot reach 75% within the 50-round budget on either benchmark, saturating below that threshold. At the final checkpoint (round 50), FedCMM achieves 86.3% on PHEME and 84.4% on CrisisMMD, exceeding EWC-FL by 7.7% and 7.3%, respectively.

F. Local-Epoch Sensitivity and Efficiency Analysis

G. Discussion

Effect of local epoch number E. Fig. 4 shows average accuracy as E increases from 1 to 4. All methods peak at E = 1, confirming that aggressive local training amplifies client drift in temporally skewed social-event streams. On PHEME, FedAvg-CL drops from 73.8% to 71.2%, EWC-FL drops from 78.6% to 75.0%, and FedCMM drops from 86.3% to 83.5%. On CrisisMMD, the absolute decline is larger for the baselines

Superior performance of FedCMM across both benchmarks stems from three complementary mechanisms: i) Modalityaware regularization via MA-EWC applies module-specific Fisher penalties to the vision encoder, language backbone, and cross-modal projector independently, preventing the uniform parameter shrinkage that causes a single-branch EWC to underprotect whichever modality updates most aggressively in the

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IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING

current task; ii) Privacy-preserving replay via PPFR restores sample-space supervision without exposing raw client data, and the empirical gap between PPFR and standard exemplar replay (GEM-FL) confirms that synthetic embeddings preserve enough decision geometry to achieve comparable retention; and iii) Similarity-aware aggregation via TSGA filters out client updates that are directionally misaligned with the consensus, reducing the amplification of task-ordering drift that ordinary FedAvg cannot suppress. Nevertheless, several limitations warrant attention: optimal λ and τ values are currently determined by grid search rather than adaptive scheduling; the Fisher diagonal approximation may underestimate parameter importance in cross-modal projector layers where interference is most nonlinear; and scaling to T ≥ 6 tasks has not been validated. Future work will pursue learnable hyperparameter schedules [10], more expressive Fisher surrogates for lowrank adapters, and extended evaluation on the seven-task PHEME→CrisisMMD combined stream [11], [36]. VI. C ONCLUSION In this paper, we have addressed catastrophic forgetting in the federated fine-tuning of Multimodal Large Language Models on evolving data streams. Our proposed FedCMM framework synergistically integrates modality-aware parameter regularization, raw-data-free embedding-level replay, and similarity-aware gradient aggregation, enabling MLLMs to learn sequentially without sacrificing prior knowledge. Extensive experiments show that FedCMM consistently achieves the best average accuracy and BWT, while remaining competitive on FWT. The framework’s robustness to data heterogeneity and asynchronous task ordering further highlights its practical utility for realworld networked AI deployments. Future work will focus on improving efficiency and autonomous hyperparameter adaptation, advancing toward evolutive optimization in largescale distributed AI systems. R EFERENCES [1] J.-B. Alayrac, J. Donahue, P. Luc, A. Miech, I. Barr, Y. Hasson, K. Lenc, A. Mensch, K. Millican, M. Reynolds et al., “Flamingo: a visual language model for few-shot learning,” in NeurIPS, vol. 35, 2022, pp. 23 716– 23 736. [2] J. Liu, Y. Du, K. Yang, J. Wu, Y. Wang, X. Hu, Z. Wang, Y. Liu, P. Sun, A. Boukerche, and V. C. M. Leung, “Edge-cloud collaborative computing on distributed intelligence and model optimization: A survey,” IEEE Commun. Surveys Tuts., vol. 28, pp. 5049–5080, 2026. [3] D. Kiela, H. Bhooshan, H. Firooz, and D. Testuggine, “The hateful memes challenge: Detecting hate speech in multimodal memes,” in NeurIPS, vol. 33, 2020, pp. 2611–2624. [4] F. Alam, F. Ofli, and M. Imran, “Crisismmd: Multimodal twitter datasets from natural disasters,” in ICWSM, vol. 12, no. 1, 2018, pp. 465–467. [5] B. McMahan, E. Moore, D. Ramage, S. Hampson, and B. A. y. Arcas, “Communication-efficient learning of deep networks from decentralized data,” in AISTATS, 2017, pp. 1273–1282. [6] P. Kairouz, H. B. McMahan, B. Avent, A. Bellet, M. Bennis, A. Bhagoji, K. Bonawitz et al., “Advances and open problems in federated learning,” Found. Trends Mach. Learn., vol. 14, no. 1–2, pp. 1–210, 2021. [7] M. Ribero, H. Vikalo, and G. de Veciana, “Federated learning at scale: Addressing client intermittency and resource constraints,” IEEE J. Sel. Top. Signal Process., 2024. [8] J. Wu, J. Liu, Y. Liu, L. Wang, Z. Wang, W. Chen, Z. Tian, R. Yu, and V. C. M. Leung, “A survey on cloud-edge-terminal collaborative intelligence in aiot networks,” Aug. 2025. [9] G. I. Parisi, R. Kemker, J. L. Part, C. Kanan, and S. Wermter, “Continual lifelong learning with neural networks: A review,” Neural Netw., vol. 113, pp. 54–71, 2019.

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