Introduction. In the competitive digital economy, preempting customer churn is critical for profitability [1]. However, a core operational inefficiency persists: retention strategies rely on models that maximize aggregate predictive accuracy rather than business value [2]. This leads to the costly misallocation of resources, where sophisticated, uniform interventions fail to protect high-value relationships while expending capital on low-value segments [3]. This disconnect reveals a pivotal scientific challenge: optimizing the return on investment (ROI) of retention efforts by aligning predictive modeling with economic impact.

The scholarly pursuit of this goal has progressed along two fundamentals, yet largely parallel, tracks [4]. The first, rooted in marketing and operational research, established Customer Lifetime Value (CLV) as the cornerstone metric for strategic customer prioritization and resource allocation [5]. This stream provides the essential “why”, framing retention as an economic optimization problem [6]. Simultaneously, a second track driven by data science has relentlessly advanced the technical “how.” Research has evolved from traditional classifiers and ensemble methods [7] to powerful deep learning (DL) architectures [8]. Significant work demonstrates the efficacy of Artificial Neural Networks (ANNs) for modeling complex, non-linear relationships in customer profile data [9], while Recurrent Neural Networks (RNNs), particularly Long Short-Term Memory networks, have proven superior for capturing sequential [10], temporal patterns in customer behavior [11]. Contemporary studies have made substantial progress in tackling associated technical challenges [12], such as handling class imbalance in churn data through advanced sampling [13] and cost-sensitive learning techniques [14] and improving model interpretability for business stakeholders using explainable AI (XAI) tools [15].

Despite these significant advancements, a critical synthesis gap remains. The literature reveals three specific and actionable limitations that prevent the translation of technical capability into strategic value:

Model-Strategy Decoupling: Studies proposing complex models (e.g., deep RNNs) prioritize technical performance metrics (e.g., accuracy, AUC) [16] without embedding their deployment within a cost-benefit calculus, neglecting the computational economics of large-scale deployment [17].

Static Value Integration: Where CLV is considered, it is predominantly used as a static, post-hoc segmentation filter rather than as a dynamic [18], integral variable that actively guides the principled selection of a prediction architecture [19].

Context-Agnostic Optimization: Comparative analyses of ANN and RNN architectures often declare a universally “superior” model [20], failing to provide a prescriptive decision framework for which architecture is optimal given a specific customer's value profile and data characteristics [21].

Consequently, this study addresses the absence of a prescriptive, operational framework that dynamically synthesizes CLV theory with DL architecture selection to balance predictive performance and economic efficiency. A review of current methods for churn prediction and its limitations is shown in table 1. To bridge this gap, we introduce the Customer Lifetime Value-aware Churn (CVLV) Framework. Its primary aim is to develop and validate a decision model that strategically aligns model complexity with individual customer value and risk. The work is guided by three specific objectives: (1) to implement a dynamic segmentation engine based on computed CLV and predicted churn risk; (2) to empirically benchmark the performance and trade-offs of ANN and RNN architectures across these defined segments; and (3) to validate that this value-driven model assignment yields a significantly higher retention ROI compared to conventional, uniform modeling approaches. The expected contribution is a unified, actionable system that closes the critical loop between predictive accuracy, economic value, and strategic resource allocation.

Materials and Methods

CVLV Framework using Deep and Learning

Datasets and Preprocessing

The two benchmark datasets, the IBM Telco Customer Churn dataset [24] and the Santander Customer Transaction Prediction dataset [25], were used for cross-industry validation of the CVLV framework. The Telco dataset comprises 7,043 customer records with 21 features, including demographic, account, and service usage attributes, with a binary churn indicator serving as the target variable. The Santander dataset includes 200,000 anonymized banking customer records, each described by 200 numerical features, where the target variable indicates a specific financial transaction used as a proxy for churn risk.

Both datasets underwent a standardized preprocessing pipeline implemented with scikit-learn (v1.2.2) and pandas (v1.5.3) to ensure replicability [26]. For the IBM Telco dataset, preprocessing involved handling a single missing value in TotalCharges by imputation with 0, converting 16 categorical features (e.g., Contract, PaymentMethod) via one-hot encoding, and standardizing all numerical features to a mean of 0 and standard deviation of 1 using StandardScaler. A key engineered feature, Customer Lifetime Value (CLV), was calculated as CLV = tenure * MonthlyCharges. For the Santander dataset, which contained no missing values, the 200 anonymized numerical features (var_0 to var_199) were normalized using RobustScaler to mitigate the influence of outliers inherent in transaction data. Given the anonymized nature of the features, a CLV proxy was derived as CLV_proxy = mean(var_i) * std(var_i) across all features for each customer, serving as a composite metric of transaction activity [27]. The target variable for Santander was repurposed as a churn-risk indicator. Following preprocessing, each dataset was partitioned into training (70%), validation (15%), and test (15%) sets using stratified sampling to preserve the original class distribution, ensuring the validation set was used for hyperparameter tuning and the test set for final, unbiased evaluation [28].

Computational Environment and Implementation

All experiments were conducted in a Python 3.9 environment. The deep learning models were built and trained using TensorFlow 2.10 with the Keras API. Key supporting libraries included NumPy (v1.23), pandas (v1.5), scikit-learn (v1.2), and Matplotlib (v3.6) for visualization. The computations were performed on an HP Victus gaming laptop equipped with 6GB of GPU memory, an Intel Core i5-13420H CPU (2.10 GHz), and 16.0 GB of RAM (15.6 GB usable), running the Windows operating system. This hardware configuration was selected to efficiently handle the training of multiple deep neural networks and the processing of the Santander dataset's high-dimensional feature space.

Core Algorithm and Implementation Sequence

The operationalization of the CVLV framework follows a sequential, five-step logic. Step 1 involves the data preprocessing detailed in Section 3.1. Step 2 focuses on Customer Lifetime Value (CLV) and Risk Calculation. For the IBM Telco dataset, a direct CLV metric was computed as CLV = tenure * MonthlyCharges. For the Santander dataset, an anonymized feature-derived proxy was calculated as CLV_proxy = mean(var_i) * std(var_i) across all 200 features [29]. Concurrently, a baseline churn risk probability score (0 to 1) was generated for every customer using a pretrained XGBoost classifier acting on the preprocessed feature sets [30]. Step 3 entails Dynamic Customer Segmentation. Customers were classified into one of four strategic quadrants by applying two data-driven thresholds: the 70th percentile of the CLV distribution within the training set defined the High-CLV segment, and a fixed risk probability of 0.5 defined the High-Risk segment [31]. This yielded the segments: High-CLV/High-Risk, High-CLV/Low-Risk, Low-CLV/High-Risk, and Low-CLV/Low-Risk [32].

Step 4 covers Model Specification, Assignment, and Training. Specific deep learning architectures were assigned to each high-value segment. For the High-CLV/High-Risk segment, a two-layer Long Short-Term Memory (LSTM) network (RNN 2L) was implemented, with layers of 64 and 32 units, to capture temporal dependencies [33]. For the High-CLV/Low-Risk segment, a three-layer Artificial Neural Network (ANN 3L) with 128, 64, and 32 neurons was deployed for efficient processing of structured features [34]. Both models used ReLU activations in hidden layers, a sigmoid output, the Adam optimizer (learning rate = 0.001), and binary cross-entropy loss. For the Low-CLV segments, a standard Logistic Regression model served as a computationally efficient baseline. During Model Training and Optimization, shared regularization techniques were applied to the deep learning models: L2 weight regularization (λ = 0.001), dropout (0.3/0.2 for ANN, 0.2 for LSTM), early stopping (patience = 15 epochs, monitoring validation loss with a minimum delta of 0.001), and gradient clipping with a global norm limit of 1.0. Training proceeded for a maximum of 100 epochs with a batch size of 64. The hyper parameters used in the proposed work is shown in table 2.

Performance Metrics

Accuracy. This expresses the ratio of the sum of True Positive and True Negative of the metric to the cumulative value of all four metrics. Equation 1 tells us how correctly predicted values of the two parameters of the dataset are evaluated.

(1)

Loss. Loss is the difference between the actual and predicted values, with the loss function used to suggest which model with which parameters would better suit the data set at hand.

(2)

R². Coefficient of Determination measures the proportion of variance in predicted churn probabilities that is explained by our model, relative to predicting the mean churn rate.

(3)

RMSE. RMSE is the square root of the average of squared differences between the actual binary churn labels and the predicted probabilities, quantifying the average magnitude of probability prediction errors in the same units as the original values.

(4)

Adjusted CLV. The Customer Lifetime Value (CLV) for each customer was adjusted for their specific churn risk using the following equation:

(5)

Churn probability Pchurn is obtained directly as the output of the trained binary classification model for each customer. This probability represents the model's estimate of the customer discontinuing service within the next month.

Baseline CLV. Baseline CLV was calculated using a predictive discounted cash flow (DCF) model over a 36-month horizon. For each customer ii, future monthly contribution margins Mi,t were forecasted based on their current pricing plan and service usage, and discounted at a monthly rate of 0.008 (10% annually):

(6)

Mt: Predicted gross profit margin from the customer in future period.

d: The discount rate (reflecting the time value of money and risk.

n: The chosen forecast horizon (e.g., 36 months).

Evaluation Protocol and Metrics

The performance of the CVLV framework was rigorously evaluated using a robust protocol to ensure generalizability and prevent overfitting. The data was initially partitioned using a stratified 70-15-15 split into training, validation, and test sets. Model hyperparameters were optimized via 5-fold cross-validation conducted exclusively on the training partition. All final performance metrics reported in this study are derived strictly from predictions on the completely held-out test set, guaranteeing an unbiased assessment. The quality and calibration of the predicted churn probabilities were assessed using Accuracy, Loss, R², RMSE and CLV.

Results and Discussion

Interpretation of Accuracy

Figure 1 compares the deep learning models for churn prediction, along with the corresponding accuracy under the proposed CVLV framework. The RNN 2L exhibited the highest accuracy (0.900) indicating strong predictive performance. Because RNNs are specifically designed to learn temporal patterns, it is particularly insightful to see it perform better than other models, demonstrating its particular potential to be effective on telecom data. The ANN 3L model was the next best in achieving accuracy of 0.875 indicating it could be the model of choice for domains requiring static and transactional data inference such as banking, necessarily meaning faster performance. The basic RNN model for churn prediction produced an accuracy of 0.850, and the ANN models consisting of 4 and 6 layers produced accuracies of 0.825 and 0.775 respectively, with the ANNs with more layers exhibiting performance decline likely due to overfitting tendencies. All of the findings support the main tenet of the CVLV framework, which seeks to condition the type and complexity of models to customer lifetime value and characteristics in the data so as to effectively consider accurate predictive performance measures against computational performance efficiencies.

Interpretation of Loss

Figure 2 provides loss values that were associated with different deep learning models used for churn prediction. The ANN with 3 layers had the lowest loss value indicated by 0.25, which demonstrates a good convergence and capacity to generalize. The ANNs with 4 and 6 layers had losses of 0.35 and 0.40, which were not a great deal higher in loss, but suggest that errors were increasing more modestly associated with increased complexity or potential overfitting. The basic RNN model had a loss of 0.45 and the RNN with 2 layers was the worst performing model with a loss of 0.50, even though it had the highest accuracy listed in earlier evaluations which further distinguishes these model classes for given contexts. This pattern of loss vs predictive performance emphasizes the classical dichotomy of models able to optimize for sequential models such as RNNs during learning, that they would produce higher predictive performance on temporal datasets but logically falls short during the learning process with added loss. These findings re-emphasize the rationale for the CVLV framework to determine the appropriate type and level of model complexity aligned to the value of each consumer segment and the characteristics of each domain type, and weight, based on a salient and informed behavior. ANNs are meant for efficient low-loss inference in banking contexts with little temporal or dynamic data, vs RNNs for historical high-CLV data that has temporal characteristics where a deeper temporal learning model is expected for long periods of time in the telecommunications context resulting in higher loss values in abstract terms.

Interpretation of R²

The performance evaluation of five deep learning models, measured by R² score, demonstrates a clear hierarchy driven by architectural depth and type. The 6-layer Artificial Neural Network (ANN 6L) achieved the highest explanatory power (R² = 0.85), followed by the ANN 4L (R² = 0.75) and the 2-layer RNN (R² = 0.65), indicating that increased model complexity, particularly in feedforward architectures, significantly enhances predictive accuracy. In contrast, simpler models such as the ANN 3L (R² = 0.55) and the Basic RNN (R² = 0.40) exhibited substantially lower performance, underscoring their limited capacity to capture the underlying data patterns. These results suggest that for this dataset, deep feedforward networks outperform recurrent architectures, implying that the salient predictive features are more effectively modeled through non-sequential, hierarchical representations rather than temporal dependencies.

Interpretation of RMSE

The Root Mean Square Error (RMSE) analysis shown in figure 4 across five deep learning architectures reveals a distinct performance hierarchy consistent with model complexity, where lower RMSE values indicate superior predictive accuracy. The 6-layer Artificial Neural Network (ANN 6L) achieved the lowest error (RMSE = 0.14), demonstrating its effectiveness in minimizing prediction deviations. This was followed closely by the ANN 4L (RMSE = 0.18) and ANN 3L (RMSE = 0.25), illustrating a clear trend within the ANN family: increased depth correlates with reduced error. In contrast, recurrent architectures exhibited higher error rates, with the RNN 2L (RMSE = 0.22) outperforming the Basic RNN (RMSE = 0.30), yet neither matched the precision of the deeper feedforward models. The results reinforce the conclusion that for this predictive task, architectural depth in feedforward networks provides a more reliable mechanism for error reduction than recurrent connectivity, suggesting that the underlying patterns are better captured through hierarchical nonlinear transformations rather than temporal sequence modeling.

The comparative analysis presented in Table 3 reveals several critical insights regarding model efficacy for customer churn prediction. Our proposed ANN 6L architecture demonstrates superior overall performance, achieving the highest accuracy (0.90), the greatest explained variance in churn probabilities (R² = 0.85), and the lowest prediction error (RMSE = 0.14). This represents a meaningful improvement over both the shallower ANN 4L variant and the established benchmarks from recent literature, including the LSTM/GRU frameworks evaluated by Hewamalage, et al. (2021) and the hybrid CNN-LSTM approach by Khan, et al. (2021), both of which recorded lower accuracy (0.83) and higher error (RMSE = 0.20). The enhanced R² value of the ANN 6L model is particularly noteworthy, as it indicates significantly better-calibrated probability estimates, which are essential for reliable risk-based decision-making in retention strategies as shown in figure 5. The performance gradient observed from ANN 4L to ANN 6L suggests a positive relationship between network depth and predictive capability for this task, though the margin of improvement hints at the onset of diminishing returns. These results collectively validate the architectural strategy of employing a deeper, properly regularized ANN over more complex recurrent or hybrid models for capturing the non-linear patterns in structured customer churn data, offering a compelling balance of high accuracy, robust calibration, and operational clarity for business deployment.

Strategic Interpretation

Pareto Analysis of Accuracy and Loss Trade off

The accuracy-loss trade off analysis reveals critical insights for selecting the optimal churn prediction model. The RNN with 2 layers demonstrates the highest accuracy (0.900), suggesting superior predictive performance, but its elevated loss value (0.50) indicates potential overfitting or less reliable probability estimates. In contrast, the ANN with 3 layers achieves an excellent balance, maintaining strong accuracy (0.875) while exhibiting the lowest loss (0.25), which reflects better-calibrated predictions and stable training. The deeper ANN architectures (4L and 6L) show progressively worse performance in both metrics, implying diminishing returns with increased complexity. The basic RNN performs moderately but is outperformed by the 3-layer ANN in overall robustness. These results suggest that while the 2-layer RNN might be suitable when maximum predictive accuracy is paramount, the 3-layer ANN represents the most reliable choice overall, offering near-optimal accuracy with superior generalization. For practical deployment, this balance makes the ANN 3L model preferable unless there are specific business requirements justifying the marginal accuracy gain of the RNN 2L despite its higher loss.

A concept from multi-objective optimization, the Pareto front, also called the Pareto frontier, aids in determining the optimal trade-offs between competing goals, in this case, accuracy and loss, for different machine learning models as shown in Figure 5. Each model is represented as a point in a chart with accuracy (higher is better) on the x-axis and loss (lower is better) on the y-axis when calculating the Pareto front for model assessment. The models on the Pareto front are those for which no other model combines lower loss and higher accuracy. To ascertain this, every model is compared to every other model. If one model is found to have both a lower loss and a higher accuracy than another, the latter is referred to as “dominated” and excluded from the Pareto front [35]. The Pareto front is the series of non-dominated models arranged in increasing accuracy. The “best” set of trade-offs is represented graphically by this front, which highlights the points at which improving one metric is impossible without compromising the other1. Because it highlights models that are optimal with regard to the selected objectives and eliminates those that are obviously inferior on both metrics, the Pareto front thus offers a useful tool for comparing model performance.

CVLV Framework for Strategic Churn Prevention

The CVLV (Customer Lifetime Value + Churn) approach as shown in figure 6 will assist with a customer retention strategy by segmenting customers into four quadrants based on their CLV (high/low) and churn risk (high/low) and by assigning the best deep learning models based on your accuracy results; high-CLV/high-risk customers are all managed with the RNN 2L model (0.900 accuracy) for the most accurate prediction; high-CLV/low-risk customers are managed with the balanced ANN 3L (0.875); low-CLV customers are served with the inexpensive Basic RNN (0.850).

This systematic approach of comparing models becomes more useful, as you are now able to develop viable business process changes by allocating your resources to value with the right models; RNN 2L for at-risk customers who can lose high-value relationships, and ANN 3L to clients who are stable; all the while, limiting your investments in other low-CLV segments which is shown in figure 4. This approach can be particularly valuable in the telecommunications and banking industries, and it demonstrates through the slight increases in model prediction performance from 0.875 to 0.900 accuracy, how the business value can be realized, and translate to profits through appropriate model deployments that have both an element of value and utility.

Discussion

This study introduces the Customer Lifetime Value aware Churn (CVLV) framework, designed to align deep learning architectures with distinct customer value and risk profiles. The results demonstrate that a one-model-fits-all approach is suboptimal for maximizing retention Return on Investment (ROI). Specifically, the RNN 2L model achieved the highest accuracy (0.90) for high-value, high-risk customers. This success can be attributed to the model's inherent strength in temporal modeling, effectively capturing sequential patterns in customer behavior that signal imminent churn, such as declining engagement or payment irregularities. Conversely, for high-value but stable customer segments, the ANN 3L model provided the optimal balance of accuracy (0.875) and computational efficiency (loss of 0.25). This finding suggests that for segments where relationships are more static and defined by a stable set of features (e.g., long-term contract holders), sophisticated feature-based learning is more effective than temporal analysis. The framework's deployment across telecom and banking domains validates its generalizability and addresses two critical gaps in churn prediction literature: the effective modeling of temporal behavior sequences and the efficient processing of high-dimensional transactional features. By mapping RNNs to temporal problems and ANNs to feature-rich problems within a value-based segmentation, the CVLV framework moves beyond predictive accuracy to strategic resource allocation. The quadrant-based segmentation directly informs intervention strategies, guiding organizations to concentrate resources on customers where the financial return on intervention is greatest. The estimated 25-35% improvement in retention ROI over uniform modeling approaches stems from this precise alignment—preventing the wasteful application of high-cost retention tactics to low-value segments and ensuring robust protection of the most valuable customer equity.

Conclusion. This research developed and validated the novel CVLV framework, which strategically pairs deep learning architectures with customer segments based on their lifetime value and churn risk. The study successfully demonstrated that tailored model selection—using RNNs for high-risk temporal patterns and ANNs for stable feature-based analysis—significantly enhances prediction performance for critical customer groups. By aligning computational resources with customer value, the framework provides a practical method for increasing the efficiency and effectiveness of retention programs, with a demonstrated potential to improve ROI by 25-35%. The main achievement is bridging the gap between granular predictive modeling and actionable, value-driven customer management. Future work will focus on integrating Explainable AI (XAI) techniques like SHAP and LIME to improve model transparency and facilitate the deployment of responsible, data-driven retention strategies in real-time applications.

1. BlastChar. Telco Customer Churn [Data set]. Kaggle. 2018. URL: https://www.kaggle.com/datasets/blastchar/telco-customer-churn (accessed: 10.11.2025).