SEMamba++: A General Speech Restoration Framework Leveraging Global, Local, and Periodic Spectral Patterns

Yongjoon Lee; Jung-Woo Choi

eess.ASMar 12, 2026

SEMamba++: A General Speech Restoration Framework Leveraging Global, Local, and Periodic Spectral Patterns

Authors: Yongjoon Lee, Jung-Woo Choi

Organizations: Korea Advanced Institute of Science and Technology (KAIST), Daejeon, Korea

Abstract

General speech restoration demands techniques that can interpret complex speech structures under various distortions. While State-Space Models like SEMamba have advanced the state-of-the-art in speech denoising, they are not inherently optimized for critical speech characteristics, such as spectral periodicity or multi-resolution frequency analysis. In this work, we introduce an architecture tailored to incorporate speech-specific features as inductive biases. In particular, we propose the Global, Local, and Periodic (GLP) module, a frequency feature extraction block that effectively and efficiently leverages the properties of frequency bins. Then, we design a multi-resolution parallel time-frequency dual-processing block to capture diverse spectral patterns, and a learnable mapping to further enhance model performance. With all our ideas combined, the proposed SEMamba++ achieves the best performance among multiple baseline models while remaining computationally efficient.

Figures & tables

Figure 1: Various TFDP processing methods. ds and us denote downsampling and upsampling, respectively.

Figure 2: Overall architecture of SEMamba++ (a) and Frequency GLP (b). In (a), ”Mag.”, ”Comp.”, and ”Decomp.” refer to magnitude, compression, and decompression, respectively. ”Conv” and ”TrConv” indicate the 2d convolution and transposed convolution that down- and upsample along the frequency axis. (b) describes Frequency GLP with frequency dimension $F^{\prime}$ .

		In-domain						Out-of-domain
Model	Method	VCTK-GSR test						URGENT 2025 val						URGENT 2025 test
		Perceptual quality			Signal fidelity			Perceptual quality			Signal fidelity			Perceptual quality
		$\text{SCOREQ}^{\uparrow}$	$\text{UTMOS}^{\uparrow}$	$\text{OVRL}^{\uparrow}$	$\text{PESQ}^{\uparrow}$	$\text{LSD}^{\downarrow}$	$\text{LPS}^{\uparrow}$	$\text{SCOREQ}^{\uparrow}$	$\text{UTMOS}^{\uparrow}$	$\text{OVRL}^{\uparrow}$	$\text{PESQ}^{\uparrow}$	$\text{LSD}^{\downarrow}$	$\text{LPS}^{\uparrow}$	$\text{SCOREQ}^{\uparrow}$	$\text{UTMOS}^{\uparrow}$	$\text{OVRL}^{\uparrow}$
MP-SENet	GAN	1.87	2.17	2.82	2.01	1.22	0.42	1.59	1.90	2.88	1.63	1.78	0.59	1.38	1.71	2.81
SEMamba	GAN	1.89	2.34	2.88	2.13	1.19	0.45	1.66	2.06	2.92	1.67	1.83	0.60	1.51	1.88	2.84
USEMamba	Reg.	1.87	2.30	2.94	1.90	1.21	0.42	1.77	2.05	2.98	1.53	1.51	0.60	1.60	1.88	2.91

Table 1: Objective evaluation results on VCTK-GSR test , URGENT 2025 val , and URGENT 2025 test . Reg. denotes the training with regressive loss. Official checkpoints have been utilized for models with ∗ .

Model	Params (M)	RTF	SIG	BAK	OVRL	PESQ
Degraded	-		2.89	3.02	2.47	1.91
MP-SENet	2.3	0.022	3.27	3.89	2.94	1.83
SEMamba	1.7	0.013	3.21	3.88	2.88	1.68
USEMamba	3.9	0.045	3.36	3.99	3.06	1.73
Universe++	42.8	0.023	2.58	3.83	2.32	1.11
Universe++ ∗	42.8	0.023	3.10	3.86	2.80	1.77

Table 2: Efficiency and objective performance evaluation results on AATC Challenge 2025. Official checkpoints have been utilized for models with ∗ .

Model	Methods	Params (M)	Training data (hours)	SIG	BAK	OVRL
Degraded	-			3.053	2.509	2.255
ANYENHANCE †	MGM	363.6	3.7k	3.488	3.977	3.161
MaskSR-M †	MLM	145	800	3.430	4.025	3.136
LLaSE-G1 †	LM	1072	500	3.472	3.996	3.177
VoiceFixer ∗	Reg.	111.7	44	3.291	3.960	2.992
USEMamba	Reg.	3.9	44	3.239	3.937	2.923

Table 3: Joint denoising and reverberation performance, evaluated by DNSMOS on DNS 2020 test real recordings. All models are trained for solving general speech restoration. Diff. and Reg. denote the training with diffusion and regressive loss, respectively. ∗ indicates models from official checkpoints, and † represents model performance reported in the source papers.

Figure 3: Gradient visualization of outputs from different branches in the proposed multi-branch method. (a) and (b) represent the magnitude spectrogram of the clean and the degraded speech, respectively. Resolution-wise visualizations of the gradient-weighted magnitude spectrogram are illustrated in (1), (2), and (3). The top resolution has a frequency dimension equal to $F^{\prime}$ .

Model	Degradation types
	Noise (dB)				Bandwidth limitation (kHz)
	-15	-10	0	10	1	2	4	6
Degraded	1.42	1.46	1.6	2.25	1.96	2.75	3.73	3.95
MP-SENet	1.94	2.34	3.33	3.82	1.85	2.80	3.73	3.99
SEMamba	2.06	2.51	3.48	3.89	1.85	2.79	3.72	3.97
USEMamba	1.98	2.38	3.35	3.83	1.52	2.89	3.85	4.04

Table 4: UTMOS evaluation on VCTK-GSR test dataset across different degradation intensities. The gray areas represent the evaluation results on unseen degradation intensities.

Method	VCTK-GSR test	URGENT test	DNS test
MR-Parallel	0.036	0.036	0.037
MR-Sequential	0.045	0.047	0.046

Table 5: Intersection Over Union (IoU) values of influential gradients across multiple resolutions.

Figure 4: The ratio of gradient norms under different degradation types and intensity. $\mathcal{R}>1$ indicates the larger contribution of the Global Periodicity module than the Local module.

Figure 5: Softplus functions with the learnable $\beta$ for each frequency bin. The black dotted line denotes the ReLU function.

Design	Params (M)	RTF	In-domain		Out-of-domain
			VCTK-GSR test		URGENT test		DNS test
			UTMOS	OVRL	UTMOS	OVRL	UTMOS	OVRL
Mamba	2.7	0.025	3.55	3.12	2.50	3.04	2.70	3.06
Transformer	2.9	0.027	2.95	2.95	2.24	2.95	2.40	3.04
Conformer	2.4	0.028	3.45	3.06	2.46	3.04	2.93	3.17
SpatialNet	2.6	0.024	3.46	3.10	2.36	2.98	2.68	3.11

Table 6: Comparison and ablation studies on various frequency mixing modules using SEMamba++ as a backbone.

Design	Params (M)	RTF	In-domain		Out-of-domain
			VCTK-GSR test		URGENT test		DNS test
			UTMOS	OVRL	UTMOS	OVRL	UTMOS	OVRL
MR-Parallel (Ours)	2.7	0.021	3.55	3.14	2.61	3.13	3.02	3.21
MR-Sequential	2.7	0.021	3.54	3.12	2.53	3.08	2.91	3.21
SR	9.0	0.034	3.53	3.11	2.42	2.85	2.19	2.48
w/o down.	2.8	0.028	3.50	3.09	2.44	2.95	2.72	3.0

Table 7: Ablation studies on the proposed multi-resolution parallel TFDP processing.

\times

2 and

\times

4 denote downsampling by factors of 2 and 4, respectively.

Design	Params (M)	RTF	In-domain		Out-of-domain
			VCTK-GSR test		URGENT test		DNS test
			UTMOS	PESQ	UTMOS	OVRL	UTMOS	OVRL
SEMamba	1.7	0.013	2.34	2.13	1.79	2.80	1.57	2.75
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Metric. $\mathrel{\mathchoice{\mkern 2.0mu\hbox{\hbox to8.19pt{\vbox to5.03pt{\pgfpicture\makeatletter\hbox{\hskip 0.0pt\lower 0.0pt\hbox to0.0pt{\lxSVG@begingroup@{_scopebegin=1} \lxSVG@begingroup@{stroke=#000000} \lxSVG@begingroup@{fill=#000000} \lxSVG@setlinewidth{\the\pgflinewidth}\lxSVG@begingroup@{stroke-width=0.4pt} \lx@inpgf@ignorespaces\nullfont\hbox to0.0pt{{}{}{}{}\lxSVG@discardpath\lxSVG@discardpath@clipped{M 0 0 L 0 6.96 L 11.33 6.96 L 11.33 0 Z} {{{}{}{{}}{} {{}{{\lx@inpgf@ignorespaces}}}{{}{\lx@inpgf@ignorespaces}}{}{{}{\lx@inpgf@ignorespaces}} {{{{\lx@inpgf@ignorespaces}}\lxSVG@begingroup@{_scopebegin=1} \lxSVG@transformcm{1.0}{0.0}{0.0}{1.0}{0.0pt}{0.0pt}\lxSVG@begingroup@{transform=matrix(1.0 0.0 0.0 1.0 0 0)} \pgfsys@hbox{59}\lxSVG@closescope }}}} {\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}\hss}\lxSVG@discardpath\lxSVG@closescope \hss}}\lxSVG@closescope\endpgfpicture}}}}{\mkern 2.0mu\hbox{\hbox to8.19pt{\vbox to5.03pt{\pgfpicture\makeatletter\hbox{\hskip 0.0pt\lower 0.0pt\hbox to0.0pt{\lxSVG@begingroup@{_scopebegin=1} \lxSVG@begingroup@{stroke=#000000} \lxSVG@begingroup@{fill=#000000} \lxSVG@setlinewidth{\the\pgflinewidth}\lxSVG@begingroup@{stroke-width=0.4pt} \lx@inpgf@ignorespaces\nullfont\hbox to0.0pt{{}{}{}{}\lxSVG@discardpath\lxSVG@discardpath@clipped{M 0 0 L 0 6.96 L 11.33 6.96 L 11.33 0 Z} {{{}{}{{}}{} {{}{{\lx@inpgf@ignorespaces}}}{{}{\lx@inpgf@ignorespaces}}{}{{}{\lx@inpgf@ignorespaces}} {{{{\lx@inpgf@ignorespaces}}\lxSVG@begingroup@{_scopebegin=1} \lxSVG@transformcm{1.0}{0.0}{0.0}{1.0}{0.0pt}{0.0pt}\lxSVG@begingroup@{transform=matrix(1.0 0.0 0.0 1.0 0 0)} \pgfsys@hbox{59}\lxSVG@closescope }}}} {\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}\hss}\lxSVG@discardpath\lxSVG@closescope \hss}}\lxSVG@closescope\endpgfpicture}}}}{\mkern 2.0mu\hbox{\hbox to5.01pt{\vbox to3.5pt{\pgfpicture\makeatletter\hbox{\hskip 0.0pt\lower 0.0pt\hbox to0.0pt{\lxSVG@begingroup@{_scopebegin=1} \lxSVG@begingroup@{stroke=#000000} \lxSVG@begingroup@{fill=#000000} \lxSVG@setlinewidth{\the\pgflinewidth}\lxSVG@begingroup@{stroke-width=0.4pt} \lx@inpgf@ignorespaces\nullfont\hbox to0.0pt{{}{}{}{}\lxSVG@discardpath\lxSVG@discardpath@clipped{M 0 0 L 0 4.84 L 6.93 4.84 L 6.93 0 Z} {{{}{}{{}}{} {{}{{\lx@inpgf@ignorespaces}}}{{}{\lx@inpgf@ignorespaces}}{}{{}{\lx@inpgf@ignorespaces}} {{{{\lx@inpgf@ignorespaces}}\lxSVG@begingroup@{_scopebegin=1} \lxSVG@transformcm{1.0}{0.0}{0.0}{1.0}{0.0pt}{0.0pt}\lxSVG@begingroup@{transform=matrix(1.0 0.0 0.0 1.0 0 0)} \pgfsys@hbox{59}\lxSVG@closescope }}}} {\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}\hss}\lxSVG@discardpath\lxSVG@closescope \hss}}\lxSVG@closescope\endpgfpicture}}}}{\mkern 2.0mu\hbox{\hbox to3.58pt{\vbox to2.5pt{\pgfpicture\makeatletter\hbox{\hskip 0.0pt\lower 0.0pt\hbox to0.0pt{\lxSVG@begingroup@{_scopebegin=1} \lxSVG@begingroup@{stroke=#000000} \lxSVG@begingroup@{fill=#000000} \lxSVG@setlinewidth{\the\pgflinewidth}\lxSVG@begingroup@{stroke-width=0.4pt} \lx@inpgf@ignorespaces\nullfont\hbox to0.0pt{{}{}{}{}\lxSVG@discardpath\lxSVG@discardpath@clipped{M 0 0 L 0 3.46 L 4.95 3.46 L 4.95 0 Z} {{{}{}{{}}{} {{}{{\lx@inpgf@ignorespaces}}}{{}{\lx@inpgf@ignorespaces}}{}{{}{\lx@inpgf@ignorespaces}} {{{{\lx@inpgf@ignorespaces}}\lxSVG@begingroup@{_scopebegin=1} \lxSVG@transformcm{1.0}{0.0}{0.0}{1.0}{0.0pt}{0.0pt}\lxSVG@begingroup@{transform=matrix(1.0 0.0 0.0 1.0 0 0)} \pgfsys@hbox{59}\lxSVG@closescope }}}} {\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}{\lx@inpgf@ignorespaces}\hss}\lxSVG@discardpath\lxSVG@closescope \hss}}\lxSVG@closescope\endpgfpicture}}}}}$ Vocoder	1.7	0.013	3.32	1.71	2.28	2.91	2.14	2.88
TFMamba-large	2.7	0.018	3.31	1.75	2.23	2.84	2.31	2.85

Table 8: Ablation studies on the model design choices. LMask., LMap., and Metric. refer to learnable masking, mapping, and MetricGAN, respectively.

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