This study introduces a novel voice cloning framework driven by Mordukhovich Subdifferential Optimization(MSO)to address the complex multi-objective challenges of pathological speech synthesis in underresourced Lithua...This study introduces a novel voice cloning framework driven by Mordukhovich Subdifferential Optimization(MSO)to address the complex multi-objective challenges of pathological speech synthesis in underresourced Lithuanian language with unique phonemes not present in most pre-trained models.Unlike existing voice synthesis models that often optimize for a single objective or are restricted to major languages,our approach explicitly balances four competing criteria:speech naturalness,speaker similarity,computational efficiency,and adaptability to pathological voice patterns.We evaluate four model configurations combining Lithuanian and English encoders,synthesizers,and vocoders.The hybrid model(English encoder,Lithuanian synthesizer,English vocoder),optimized via MSO,achieved the highest Mean Opinion Score(MOS)of 4.3 and demonstrated superior intelligibility and speaker fidelity.The results confirm that MSO enables effective navigation of trade-offs in multilingual pathological voice cloning,offering a scalable path toward high-quality voice restoration in clinical speech applications.This work represents the first integration of Mordukhovich optimization into pathological TTS,setting a new benchmark for speech synthesis under clinical and linguistic constraints.展开更多
In this paper, the existence theorem of the cone weak subdifferential of set valued mapping in locally convex topological vector space is proved. Received March 30,1998. 1991 MR Subject Classification: 4...In this paper, the existence theorem of the cone weak subdifferential of set valued mapping in locally convex topological vector space is proved. Received March 30,1998. 1991 MR Subject Classification: 47H17,90C29.展开更多
In the presem paper, some important characteristics of Fenchel-, Frechet-,Hademard-, and Gateaux-Subdifferentials are showed up, and properties of functions, especially. convexity of functions, are described by subdif...In the presem paper, some important characteristics of Fenchel-, Frechet-,Hademard-, and Gateaux-Subdifferentials are showed up, and properties of functions, especially. convexity of functions, are described by subdifferentials.展开更多
An equation concerning with the subdifferential of convex functionals defined in real Banach spaces and the metric projections to level sets is shown. The equation is compared with the resolvents of general monotone o...An equation concerning with the subdifferential of convex functionals defined in real Banach spaces and the metric projections to level sets is shown. The equation is compared with the resolvents of general monotone operators, and makes the geometric properties of differential equations expressed by subdifferentials clear. Hence, it can be expected to be useful in obtaining the steepest descents defined by the convex functionals in Banach spaces. Also, it gives a similar result to the Lagrange multiplier method under certain conditions.展开更多
基金funding from the Research Council of Lithuania(LMTLT),agreement No.S-MIP-23-46.
文摘This study introduces a novel voice cloning framework driven by Mordukhovich Subdifferential Optimization(MSO)to address the complex multi-objective challenges of pathological speech synthesis in underresourced Lithuanian language with unique phonemes not present in most pre-trained models.Unlike existing voice synthesis models that often optimize for a single objective or are restricted to major languages,our approach explicitly balances four competing criteria:speech naturalness,speaker similarity,computational efficiency,and adaptability to pathological voice patterns.We evaluate four model configurations combining Lithuanian and English encoders,synthesizers,and vocoders.The hybrid model(English encoder,Lithuanian synthesizer,English vocoder),optimized via MSO,achieved the highest Mean Opinion Score(MOS)of 4.3 and demonstrated superior intelligibility and speaker fidelity.The results confirm that MSO enables effective navigation of trade-offs in multilingual pathological voice cloning,offering a scalable path toward high-quality voice restoration in clinical speech applications.This work represents the first integration of Mordukhovich optimization into pathological TTS,setting a new benchmark for speech synthesis under clinical and linguistic constraints.
文摘In this paper, the existence theorem of the cone weak subdifferential of set valued mapping in locally convex topological vector space is proved. Received March 30,1998. 1991 MR Subject Classification: 47H17,90C29.
文摘In the presem paper, some important characteristics of Fenchel-, Frechet-,Hademard-, and Gateaux-Subdifferentials are showed up, and properties of functions, especially. convexity of functions, are described by subdifferentials.
文摘An equation concerning with the subdifferential of convex functionals defined in real Banach spaces and the metric projections to level sets is shown. The equation is compared with the resolvents of general monotone operators, and makes the geometric properties of differential equations expressed by subdifferentials clear. Hence, it can be expected to be useful in obtaining the steepest descents defined by the convex functionals in Banach spaces. Also, it gives a similar result to the Lagrange multiplier method under certain conditions.
